Bezier Tools
Browse all available bezier tools.
Available tools
- Bezier Control Point Order Reversal Reverse a planar quadratic/cubic control polygon to represent the same Bezier curve under t -> 1-t, not a spatial mirror.
- Bezier Endpoint Join Position Audit Audit endpoint positional continuity of two explicit planar Bezier segments against an absolute supplied tolerance; no tangent or curvature continuity inferred.
- Bezier Endpoint Join Tangent Audit Audit actual degree-scaled endpoint tangents for C1 equality and same-direction alignment separately; zero tangents yield unknown alignment, position continuity is not assumed.
- Bezier Fixed Parameter Sample Table Sample an explicit planar quadratic/cubic Bezier at caller unit parameters in caller order, preserving repeats; not equal arc-length sampling.
- Cubic Bezier from Power Coefficients Convert planar ascending power coefficients to Bezier control points for explicit degree 3; exact linear basis change under finite arithmetic.
- Cubic Bezier Point Value Finite planar Bezier control points in supplied order, unit parameter t; evaluate point using De Casteljau arithmetic, not a screen-space or arc-length parameter.
- Cubic Bezier Power Coefficients Convert planar Bezier control points to ascending power coefficients for explicit degree 3; exact linear basis change under finite arithmetic.
- Cubic Bezier Second Derivative Value Finite planar Bezier control points in supplied order, unit parameter t; evaluate second derivative using De Casteljau arithmetic, not a screen-space or arc-length parameter.
- Cubic Bezier Split Control Points Finite planar Bezier control points in supplied order, unit parameter t; split at explicit t into two complete control polygons with duplicated join endpoint, preserving curve geometry.
- Cubic Bezier Subinterval Control Record Extract cubic Bezier subinterval control points, reparameterized to the unit interval; equal endpoints produce a point-valued cubic, no extrapolation.
- Cubic Bezier Tangent Value Finite planar Bezier control points in supplied order, unit parameter t; evaluate first derivative tangent using De Casteljau arithmetic, not a screen-space or arc-length parameter.
- Quadratic Bezier Degree Elevation Elevate one planar quadratic Bezier to cubic control points without changing its parameterized geometry; no fitting or approximation.
- Quadratic Bezier from Power Coefficients Convert planar ascending power coefficients to Bezier control points for explicit degree 2; exact linear basis change under finite arithmetic.
- Quadratic Bezier Point Value Finite planar Bezier control points in supplied order, unit parameter t; evaluate point using De Casteljau arithmetic, not a screen-space or arc-length parameter.
- Quadratic Bezier Power Coefficients Convert planar Bezier control points to ascending power coefficients for explicit degree 2; exact linear basis change under finite arithmetic.
- Quadratic Bezier Second Derivative Finite planar Bezier control points in supplied order, unit parameter t; evaluate second derivative using De Casteljau arithmetic, not a screen-space or arc-length parameter.
- Quadratic Bezier Split Control Points Finite planar Bezier control points in supplied order, unit parameter t; split at explicit t into two complete control polygons with duplicated join endpoint, preserving curve geometry.
- Quadratic Bezier Tangent Value Finite planar Bezier control points in supplied order, unit parameter t; evaluate first derivative tangent using De Casteljau arithmetic, not a screen-space or arc-length parameter.