Bezier Point

Represents a single cubic Bézier control point, including its position and handle vectors. This structure is fundamental for defining smooth curves using Bézier splines.

A BezierPoint defines:

• A spatial point (position)

• An incoming handle (handleIn)

• An outgoing handle (handleOut)

These components collectively allow for precise control of curvature and continuity between connected Bézier segments.

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Structure

[Serializable]
public struct BezierPoint
{
    public float3 position;
    public float3 handleIn;
    public float3 handleOut;
}

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Fields

Position

• Type: float3

• Description: The main coordinate of the control point in space. This is the anchor point of the curve segment.

Handle In

• Type: float3

• Description: The incoming control handle, defined relative to position. Controls the curvature of the curve segment approaching this point.

Handle Out

• Type: float3

• Description: The outgoing control handle, defined relative to position. Controls the curvature of the curve segment leaving this point.

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Usage

Used in cubic Bézier curve implementations where each segment is defined by:

• A start point (position)

• A start tangent (handleOut)

• An end tangent (handleIn)

• An end point (next BezierPoint.position)

This allows for intuitive curve editing and consistent spline behavior.

csharpCopyEditBezierPoint point = new BezierPoint
{
    position = new float3(0, 0, 0),
    handleIn = new float3(-1, 0, 0),
    handleOut = new float3(1, 0, 0)
};

In this example, the point sits at the origin with symmetrical tangents extending in the X-axis direction.