Unity Cubic Bézier Curve
About
Unity Cubic Bézier Curve is a project used to demonstrate a 3D bézier curve in Unity using line renderers.
Version: 1.0.0
Author: Adrian Miasik
License: GPL-3.0
Contributor(s): -
Want to help? If you're interested in contributing to the project, please send me a message / reach out: cubic-bezier-curve@adrian-miasik.com
Author Notes
Fun fact: This project inspired me to create unity-shaders
Bulk Logic
/// <summary>
/// Returns a 3D position on the provided cubic bezier curve at a specific time (0-1)
/// </summary>
/// <param name="_p0">Start Anchor</param>
/// <param name="_p1">Start Handle (tangent)</param>
/// <param name="_p2">End Handle (tangent)</param>
/// <param name="_p3">End Anchor</param>
/// <param name="_time">A number between 0-1. 0 representing P0 and 1 representing P3</param>
public static Vector3 GetPointOnCubicBezierCurve(Vector3 _p0, Vector3 _p1, Vector3 _p2, Vector3 _p3, float _time)
{
float _term = 1 - _time;
float _termSquared = _term * _term;
float _timeSquared = _time * _time;
float _termCubed = _termSquared * _term;
float _timeCubed = _timeSquared * _time;
// Formula Source: https://en.wikipedia.org/wiki/B%C3%A9zier_curve#Cubic_B%C3%A9zier_curves
return _p0 * _termCubed +
_p1 * (3 * _termSquared * _time) +
_p2 * (3 * _timeSquared * _term) +
_p3 * _timeCubed;
}