https://github.com/adrian-miasik/unity-cubic-bezier-curve

A cubic bézier curve created in Unity using line renderers 🏹
https://github.com/adrian-miasik/unity-cubic-bezier-curve

line-renderer mathematics open-source unity-cubic-bezier-curve unity3d

Last synced: 3 months ago
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A cubic bézier curve created in Unity using line renderers 🏹

• Host: GitHub
• URL: https://github.com/adrian-miasik/unity-cubic-bezier-curve
• Owner: adrian-miasik
• License: gpl-3.0
• Created: 2020-01-23T03:11:50.000Z (about 5 years ago)
• Default Branch: develop
• Last Pushed: 2023-09-04T03:59:48.000Z (over 1 year ago)
• Last Synced: 2024-10-14T07:48:29.200Z (4 months ago)
• Topics: line-renderer, mathematics, open-source, unity-cubic-bezier-curve, unity3d
• Language: ShaderLab
• Homepage:
• Size: 6.77 MB
• Stars: 35
• Watchers: 4
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
Unity Cubic Bézier Curve


![Sample Gif](promotional/cubic-bezier-curve-demo-preview.gif)

## About

Unity Cubic Bézier Curve is a project used to demonstrate a 3D [bézier curve](https://en.wikipedia.org/wiki/B%C3%A9zier_curve) in Unity using line renderers.

**Version**:  1.0.0

**Author**:  **[`Adrian Miasik`](https://adrian-miasik.com)**

**License**: [GPL-3.0](LICENSE)

**Contributor(s)**: `-`  

Want to help? If you're interested in contributing to the project, please send me a message / reach out: [email protected]

## Author Notes

Fun fact: This project inspired me to create [unity-shaders](https://github.com/adrian-miasik/unity-shaders/releases/tag/v1.0.0)

## Bulk Logic

``` C#

        /// 

        /// Returns a 3D position on the provided cubic bezier curve at a specific time (0-1)

        /// 

        /// Start Anchor

        /// Start Handle (tangent)

        /// End Handle (tangent)

        /// End Anchor

        /// A number between 0-1. 0 representing P0 and 1 representing P3

        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;

        }

 ```