orx-shapes/org.openrndr.extra.shapes.bezierpatches/BezierPatch3DBase

BezierPatch3DBase

open class BezierPatch3DBase<C : AlgebraicColor<C>, ConvertibleToColorRGBa>(val points: List<List<Vector3>>, val colors: List<List<C>> = emptyList())(source)

Represents a 3D Bezier patch defined by a 4x4 grid of control points and optional color data. This class provides utilities for manipulation, transformation, and evaluation of the patch.

The control points and colors must be organized as a 4x4 grid. The patch supports operations including transformation, sub-patching, path extraction, and random point generation.

Parameters

C

The type of color data associated with the patch. It must implement both AlgebraicColor and ConvertibleToColorRGBa.

Throws

IllegalArgumentException

if points or colors, if provided, do not conform to the required 4x4 structure.

Inheritors

Constructors

BezierPatch3DBase

constructor(points: List<List<Vector3>>, colors: List<List<C>> = emptyList())

Types

object Companion

Properties

val colors: List<List<C>>

A 4x4 grid of color data corresponding to the control points. This parameter is optional and defaults to an empty list.

val path: Path3D

val points: List<List<Vector3>>

A 4x4 grid of control points that define the shape of the Bezier patch.

val transposed: BezierPatch3DBase<C>

Return a transposed version of the bezier path by transposing the points matrix

Functions

operator fun div(scale: Double): BezierPatch3DBase<C>

fun gradient(u: Double, v: Double): Vector3

Return a gradient vector on the patch by using its u,v parameterization

fun horizontal(v: Double): Path3D

operator fun minus(right: BezierPatch3DBase<C>): BezierPatch3DBase<C>

operator fun plus(right: BezierPatch3DBase<C>): BezierPatch3DBase<C>

fun position(u: Double, v: Double): Vector3

Return a point on the patch by using its u,v parameterization

fun randomPoint(random: Random = Random.Default): Vector3

Generate a random point on the path

fun sub(u0: Double, v0: Double, u1: Double, v1: Double): BezierPatch3DBase<C>

Extract a sub-patch based on uv parameterization

operator fun times(scale: Double): BezierPatch3DBase<C>

fun transform(transform: Matrix44): BezierPatch3DBase<C>

fun vertical(u: Double): Path3D

fun <K : AlgebraicColor<K>, ConvertibleToColorRGBa> withColors(colors: List<List<K>>): BezierPatch3DBase<K>