Expand description
This module provides functions and utilities for calculating cubic Bézier curves
using De Casteljau’s algorithm. It includes robust error handling for invalid
control points and supports binary subdivision to efficiently determine the parameter
t corresponding to a given x-coordinate on the curve.
§Key Features
- Cubic Bézier Curve Calculation: Computes the y-coordinate for any given x-coordinate based on the specified control points using De Casteljau’s algorithm.
- Error Handling: Returns detailed errors if the control points are outside the valid range [0, 1] or if the binary subdivision fails to converge within the allowed iterations.
- Binary Subdivision: Utilizes binary subdivision to efficiently find the parameter
tfor a given x-coordinate, ensuring accurate results even for complex curves. - Precision Control: Allows customization of the precision for the binary subdivision process and handles edge cases gracefully, such as very small slopes or extreme control point values.
Structs§
- Point
- A simple 2D point represented as (x, y).
Enums§
- Bezier
Error - Custom errors for handling Bézier curve computations.
Functions§
- bezier
- Creates a cubic Bézier curve function based on the given control points.