Bezier

2024.6.20 verified Sat May 09 auth: no python

Helper for Bézier Curves, Triangles, and Higher Order Objects. Pure Python and compiled backend for computing with Bézier curves, triangles, surfaces, and volumes. Current version 2024.6.20, requires Python >=3.10. Released approximately yearly since 2017.

pip install bezier

Common errors

error ModuleNotFoundError: No module named 'bezier' ↓

cause Package not installed or installed in wrong environment.

fix

Run pip install bezier in the correct Python environment.

error ValueError: nodes must be 2D array (num_axes, num_nodes) ↓

cause Nodes array not shaped as (num_axes, num_nodes) or not Fortran-contiguous.

fix

Ensure nodes is 2D with shape (dims, points) and convert to Fortran order using np.asfortranarray(nodes).

Warnings

breaking Surface class renamed to Triangle in v2020.1.14. Code using `Surface` will break. ↓

fix Replace `Surface` with `Triangle` in imports and usage.

gotcha Nodes array must be Fortran-contiguous (column-major). Use `np.asfortranarray` or ensure array is C-contiguous with correct shape. ↓

fix Always pass nodes as Fortran-contiguous arrays: `nodes = np.asfortranarray(...)`

deprecated Python 3.9 support dropped, requires >=3.10 as of v2024.6.20. ↓

fix Upgrade Python to 3.10 or later.

Imports

BezierCurve
wrong
```
from bezier import BezierCurve
```
correct
```
from bezier import Curve
```
Class named Curve, not BezierCurve, since v0.9.0
Triangle
wrong
```
from bezier import Surface
```
correct
```
from bezier import Triangle
```
Surface renamed to Triangle in v2020.1.14

intersections

wrong

from bezier import intersect

correct

from bezier import intersection_curves_curves

Function renamed to intersection_curves_curves

Quickstart

Create and evaluate a quadratic Bézier curve defined by three control points.

import numpy as np
from bezier import Curve

nodes = np.asfortranarray([
    [0.0, 0.5, 1.0],
    [0.0, 1.0, 0.0],
])
curve = Curve(nodes, degree=2)
print(curve.evaluate(0.5))