commit branch
Andrew Port
parent
d354b8ffe4
commit
bdbd976e0a
183
README.ipynb
183
README.ipynb
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"cells": [
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{
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"cell_type": "markdown",
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"editable": true
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},
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"metadata": {},
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"source": [
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"# svgpathtools\n",
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"\n",
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@ -91,9 +88,7 @@
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"cell_type": "code",
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"execution_count": 1,
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"outputs": [],
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"source": [
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@ -103,11 +98,7 @@
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"deletable": true,
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"editable": true
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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@ -146,10 +137,7 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"The ``Path`` class is a mutable sequence, so it behaves much like a list.\n",
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"So segments can **append**ed, **insert**ed, set by index, **del**eted, **enumerate**d, **slice**d out, etc."
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@ -158,11 +146,7 @@
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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@ -226,10 +210,7 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### Reading SVGSs\n",
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"\n",
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@ -240,11 +221,7 @@
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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@ -277,10 +254,7 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### Writing SVGSs (and some geometric functions and methods)\n",
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"\n",
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@ -291,11 +265,7 @@
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"# Let's make a new SVG that's identical to the first\n",
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@ -304,20 +274,14 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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""
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"There will be many more examples of writing and displaying path data below.\n",
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"\n",
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@ -334,11 +298,7 @@
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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@ -374,10 +334,7 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### Bezier curves as NumPy polynomial objects\n",
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"Another great way to work with the parameterizations for `Line`, `QuadraticBezier`, and `CubicBezier` objects is to convert them to ``numpy.poly1d`` objects. This is done easily using the ``Line.poly()``, ``QuadraticBezier.poly()`` and ``CubicBezier.poly()`` methods. \n",
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@ -402,11 +359,7 @@
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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@ -442,10 +395,7 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"The ability to convert between Bezier objects to NumPy polynomial objects is very useful. For starters, we can take turn a list of Bézier segments into a NumPy array \n",
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"\n",
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@ -461,11 +411,7 @@
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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@ -510,10 +456,7 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### Translations (shifts), reversing orientation, and normal vectors"
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]
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@ -521,11 +464,7 @@
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"# Speaking of tangents, let's add a normal vector to the picture\n",
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@ -551,20 +490,14 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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""
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### Rotations and Translations"
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]
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@ -572,11 +505,7 @@
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"# Let's take a Line and an Arc and make some pictures\n",
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@ -599,20 +528,14 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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""
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### arc length and inverse arc length\n",
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"\n",
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@ -622,11 +545,7 @@
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"# First we'll load the path data from the file test.svg\n",
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@ -664,20 +583,14 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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""
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### Intersections between Bezier curves"
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]
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@ -685,11 +598,7 @@
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"# Let's find all intersections between redpath and the other \n",
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@ -706,20 +615,14 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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""
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"### An Advanced Application: Offsetting Paths\n",
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"Here we'll find the [offset curve](https://en.wikipedia.org/wiki/Parallel_curve) for a few paths."
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@ -728,11 +631,7 @@
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {
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"collapsed": false,
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"from svgpathtools import parse_path, Line, Path, wsvg\n",
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@ -772,20 +671,14 @@
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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""
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"deletable": true,
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"editable": true
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},
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"metadata": {},
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"source": [
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"## Compatibility Notes for users of svg.path (v2.0)\n",
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"\n",
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": true,
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"deletable": true,
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"editable": true
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"collapsed": true
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},
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"outputs": [],
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"source": []
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@ -823,16 +714,16 @@
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 2
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython2",
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"version": "2.7.12"
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"pygments_lexer": "ipython3",
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"version": "3.7.6"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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"nbformat_minor": 1
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}
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91
README.rst
91
README.rst
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@ -1,4 +1,3 @@
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svgpathtools
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============
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@ -29,7 +28,7 @@ Some included tools:
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- find a **bounding box** for a path or segment
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- **reverse** segment/path orientation
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- **crop** and **split** paths and segments
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- **smooth** paths (i.e. smooth away kinks to make paths
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- **smooth** paths (i.e. smooth away kinks to make paths
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differentiable)
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- **transition maps** from path domain to segment domain and back (T2t
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and t2T)
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@ -47,6 +46,19 @@ Prerequisites
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Setup
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-----
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If not already installed, you can **install the prerequisites** using
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pip.
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.. code:: bash
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$ pip install numpy
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.. code:: bash
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$ pip install svgwrite
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Then **install svgpathtools**:
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.. code:: bash
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$ pip install svgpathtools
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@ -61,7 +73,7 @@ You can download the source from Github and install by using the command
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$ python setup.py install
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Credit where credit's due
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Credit where credit’s due
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-------------------------
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Much of the core of this module was taken from `the svg.path (v2.0)
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@ -98,11 +110,11 @@ information on what each parameter means.
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on discontinuous Path objects. A simple workaround is provided, however,
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by the ``Path.continuous_subpaths()`` method. `↩ <#a1>`__
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.. code:: ipython2
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.. code:: ipython3
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from __future__ import division, print_function
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.. code:: ipython2
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.. code:: ipython3
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# Coordinates are given as points in the complex plane
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from svgpathtools import Path, Line, QuadraticBezier, CubicBezier, Arc
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@ -139,7 +151,7 @@ The ``Path`` class is a mutable sequence, so it behaves much like a
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list. So segments can **append**\ ed, **insert**\ ed, set by index,
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**del**\ eted, **enumerate**\ d, **slice**\ d out, etc.
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.. code:: ipython2
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.. code:: ipython3
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# Let's append another to the end of it
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path.append(CubicBezier(250+350j, 275+350j, 250+225j, 200+100j))
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@ -206,7 +218,7 @@ Reading SVGSs
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| Note: Line, Polyline, Polygon, and Path SVG elements can all be
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converted to Path objects using this function.
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.. code:: ipython2
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.. code:: ipython3
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# Read SVG into a list of path objects and list of dictionaries of attributes
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from svgpathtools import svg2paths, wsvg
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@ -239,16 +251,16 @@ Writing SVGSs (and some geometric functions and methods)
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The **wsvg()** function creates an SVG file from a list of path. This
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function can do many things (see docstring in *paths2svg.py* for more
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information) and is meant to be quick and easy to use. Note: Use the
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convenience function **disvg()** (or set 'openinbrowser=True') to
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convenience function **disvg()** (or set ‘openinbrowser=True’) to
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automatically attempt to open the created svg file in your default SVG
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viewer.
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.. code:: ipython2
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.. code:: ipython3
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# Let's make a new SVG that's identical to the first
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wsvg(paths, attributes=attributes, svg_attributes=svg_attributes, filename='output1.svg')
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.. figure:: https://cdn.rawgit.com/mathandy/svgpathtools/master/output1.svg
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.. figure:: output1.svg
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:alt: output1.svg
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output1.svg
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@ -268,14 +280,14 @@ over the domain 0 <= t <= 1.
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| **Note:** In this document and in inline documentation and doctrings,
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I use a capital ``T`` when referring to the parameterization of a Path
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object and a lower case ``t`` when referring speaking about path
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segment objects (i.e. Line, QaudraticBezier, CubicBezier, and Arc
|
||||
segment objects (i.e. Line, QaudraticBezier, CubicBezier, and Arc
|
||||
objects).
|
||||
| Given a ``T`` value, the ``Path.T2t()`` method can be used to find the
|
||||
corresponding segment index, ``k``, and segment parameter, ``t``, such
|
||||
that ``path.point(T)=path[k].point(t)``.
|
||||
| There is also a ``Path.t2T()`` method to solve the inverse problem.
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
# Example:
|
||||
|
||||
|
|
@ -313,7 +325,7 @@ Bezier curves as NumPy polynomial objects
|
|||
``numpy.poly1d`` objects. This is done easily using the
|
||||
``Line.poly()``, ``QuadraticBezier.poly()`` and ``CubicBezier.poly()``
|
||||
methods.
|
||||
| There's also a ``polynomial2bezier()`` function in the pathtools.py
|
||||
| There’s also a ``polynomial2bezier()`` function in the pathtools.py
|
||||
submodule to convert polynomials back to Bezier curves.
|
||||
|
||||
**Note:** cubic Bezier curves are parameterized as
|
||||
|
|
@ -328,7 +340,7 @@ form
|
|||
|
||||
.. math:: \mathcal{B}(t) = c_0t^3 + c_1t^2 +c_2t+c3
|
||||
|
||||
where
|
||||
where
|
||||
|
||||
.. math::
|
||||
|
||||
|
|
@ -344,7 +356,7 @@ form
|
|||
``QuadraticBezier.poly()`` and ``Line.poly()`` are `defined
|
||||
similarly <https://en.wikipedia.org/wiki/B%C3%A9zier_curve#General_definition>`__.
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
# Example:
|
||||
b = CubicBezier(300+100j, 100+100j, 200+200j, 200+300j)
|
||||
|
|
@ -392,7 +404,7 @@ different ways.
|
|||
Tangent vectors (and more on NumPy polynomials)
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
t = 0.5
|
||||
### Method 1: the easy way
|
||||
|
|
@ -434,7 +446,7 @@ Tangent vectors (and more on NumPy polynomials)
|
|||
Translations (shifts), reversing orientation, and normal vectors
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
# Speaking of tangents, let's add a normal vector to the picture
|
||||
n = b.normal(t)
|
||||
|
|
@ -456,7 +468,7 @@ Translations (shifts), reversing orientation, and normal vectors
|
|||
'bgpkgp', nodes=[b.point(t), br.point(t)], filename='vectorframes.svg',
|
||||
text=["b's tangent", "br's tangent"], text_path=[tangent_line, tangent_line_r])
|
||||
|
||||
.. figure:: https://cdn.rawgit.com/mathandy/svgpathtools/master/vectorframes.svg
|
||||
.. figure:: vectorframes.svg
|
||||
:alt: vectorframes.svg
|
||||
|
||||
vectorframes.svg
|
||||
|
|
@ -464,7 +476,7 @@ Translations (shifts), reversing orientation, and normal vectors
|
|||
Rotations and Translations
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
# Let's take a Line and an Arc and make some pictures
|
||||
top_half = Arc(start=-1, radius=1+2j, rotation=0, large_arc=1, sweep=1, end=1)
|
||||
|
|
@ -483,21 +495,21 @@ Rotations and Translations
|
|||
decorated_ellipse = decorated_ellipse.translated(4+0j)
|
||||
wsvg([top_half, midline, decorated_ellipse], filename='decorated_ellipse.svg')
|
||||
|
||||
.. figure:: https://cdn.rawgit.com/mathandy/svgpathtools/master/decorated_ellipse.svg
|
||||
:alt: decorated\_ellipse.svg
|
||||
.. figure:: decorated_ellipse.svg
|
||||
:alt: decorated_ellipse.svg
|
||||
|
||||
decorated\_ellipse.svg
|
||||
decorated_ellipse.svg
|
||||
|
||||
arc length and inverse arc length
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
Here we'll create an SVG that shows off the parametric and geometric
|
||||
midpoints of the paths from ``test.svg``. We'll need to compute use the
|
||||
Here we’ll create an SVG that shows off the parametric and geometric
|
||||
midpoints of the paths from ``test.svg``. We’ll need to compute use the
|
||||
``Path.length()``, ``Line.length()``, ``QuadraticBezier.length()``,
|
||||
``CubicBezier.length()``, and ``Arc.length()`` methods, as well as the
|
||||
related inverse arc length methods ``.ilength()`` function to do this.
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
# First we'll load the path data from the file test.svg
|
||||
paths, attributes = svg2paths('test.svg')
|
||||
|
|
@ -531,7 +543,7 @@ related inverse arc length methods ``.ilength()`` function to do this.
|
|||
wsvg(paths, nodes=dots, node_colors=ncols, node_radii=nradii,
|
||||
attributes=attributes, filename='output2.svg')
|
||||
|
||||
.. figure:: https://cdn.rawgit.com/mathandy/svgpathtools/master/output2.svg
|
||||
.. figure:: output2.svg
|
||||
:alt: output2.svg
|
||||
|
||||
output2.svg
|
||||
|
|
@ -539,7 +551,7 @@ related inverse arc length methods ``.ilength()`` function to do this.
|
|||
Intersections between Bezier curves
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
# Let's find all intersections between redpath and the other
|
||||
redpath = paths[0]
|
||||
|
|
@ -552,18 +564,18 @@ Intersections between Bezier curves
|
|||
disvg(paths, filename='output_intersections.svg', attributes=attributes,
|
||||
nodes = intersections, node_radii = [5]*len(intersections))
|
||||
|
||||
.. figure:: https://cdn.rawgit.com/mathandy/svgpathtools/master/output_intersections.svg
|
||||
:alt: output\_intersections.svg
|
||||
.. figure:: output_intersections.svg
|
||||
:alt: output_intersections.svg
|
||||
|
||||
output\_intersections.svg
|
||||
output_intersections.svg
|
||||
|
||||
An Advanced Application: Offsetting Paths
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
Here we'll find the `offset
|
||||
Here we’ll find the `offset
|
||||
curve <https://en.wikipedia.org/wiki/Parallel_curve>`__ for a few paths.
|
||||
|
||||
.. code:: ipython2
|
||||
.. code:: ipython3
|
||||
|
||||
from svgpathtools import parse_path, Line, Path, wsvg
|
||||
def offset_curve(path, offset_distance, steps=1000):
|
||||
|
|
@ -572,8 +584,9 @@ curve <https://en.wikipedia.org/wiki/Parallel_curve>`__ for a few paths.
|
|||
of the 'parallel' offset curve."""
|
||||
nls = []
|
||||
for seg in path:
|
||||
ct = 1
|
||||
for k in range(steps):
|
||||
t = k / float(steps)
|
||||
t = k / steps
|
||||
offset_vector = offset_distance * seg.normal(t)
|
||||
nl = Line(seg.point(t), seg.point(t) + offset_vector)
|
||||
nls.append(nl)
|
||||
|
|
@ -595,21 +608,21 @@ curve <https://en.wikipedia.org/wiki/Parallel_curve>`__ for a few paths.
|
|||
for distances in offset_distances:
|
||||
offset_paths.append(offset_curve(path, distances))
|
||||
|
||||
# Note: This will take a few moments
|
||||
# Let's take a look
|
||||
wsvg(paths + offset_paths, 'g'*len(paths) + 'r'*len(offset_paths), filename='offset_curves.svg')
|
||||
|
||||
.. figure:: https://cdn.rawgit.com/mathandy/svgpathtools/master/offset_curves.svg
|
||||
:alt: offset\_curves.svg
|
||||
.. figure:: offset_curves.svg
|
||||
:alt: offset_curves.svg
|
||||
|
||||
offset\_curves.svg
|
||||
offset_curves.svg
|
||||
|
||||
Compatibility Notes for users of svg.path (v2.0)
|
||||
------------------------------------------------
|
||||
|
||||
- renamed Arc.arc attribute as Arc.large\_arc
|
||||
- renamed Arc.arc attribute as Arc.large_arc
|
||||
|
||||
- Path.d() : For behavior similar\ `2 <#f2>`__\ to svg.path (v2.0),
|
||||
set both useSandT and use\_closed\_attrib to be True.
|
||||
set both useSandT and use_closed_attrib to be True.
|
||||
|
||||
2 The behavior would be identical, but the string formatting used in
|
||||
this method has been changed to use default format (instead of the
|
||||
|
|
|
|||
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Reference in New Issue