Class TriangleInterpolation

Supplies various linear interpolation methods from a triangle. The conventions are based on a XY plane, with an equilateral triangle of side 1, vertices: (0.5f, -0.5f / Sqrt3) (0, 1 / Sqrt3) (-0.5f, -0.5f / Sqrt3)

Inheritance
System.Object
TriangleInterpolation
Namespace: Sylves
Assembly: Sylves.dll
Syntax
public static class TriangleInterpolation : Object

Methods

GetCorners(MeshData, Int32, Int32, Boolean, out Vector3, out Vector3, out Vector3)

Declaration
public static void GetCorners(MeshData mesh, int submesh, int face, bool invertWinding, out Vector3 v1, out Vector3 v2, out Vector3 v3)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Vector3 v1
Vector3 v2
Vector3 v3

GetCorners(MeshData, Int32, Int32, Boolean, Single, Single, out Vector3, out Vector3, out Vector3, out Vector3, out Vector3, out Vector3)

Declaration
public static void GetCorners(MeshData mesh, int submesh, int face, bool invertWinding, float meshOffset1, float meshOffset2, out Vector3 v1, out Vector3 v2, out Vector3 v3, out Vector3 v4, out Vector3 v5, out Vector3 v6)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
System.Single meshOffset1
System.Single meshOffset2
Vector3 v1
Vector3 v2
Vector3 v3
Vector3 v4
Vector3 v5
Vector3 v6

Interpolate(Vector2, Vector2, Vector2)

Declaration
public static Func<Vector3, Vector2> Interpolate(Vector2 v1, Vector2 v2, Vector2 v3)
Parameters
Type Name Description
Vector2 v1
Vector2 v2
Vector2 v3
Returns
Type Description
System.Func<Vector3, Vector2>

Interpolate(Vector2, Vector2, Vector2, Vector2, Vector2, Vector2)

Declaration
public static Func<Vector3, Vector2> Interpolate(Vector2 v1, Vector2 v2, Vector2 v3, Vector2 v4, Vector2 v5, Vector2 v6)
Parameters
Type Name Description
Vector2 v1
Vector2 v2
Vector2 v3
Vector2 v4
Vector2 v5
Vector2 v6
Returns
Type Description
System.Func<Vector3, Vector2>

Interpolate(Vector3, Vector3, Vector3)

Linear interpolates from a triangle of size 1 in the XY plane to the triangle supplied by v1 to v3 The z value of p is unused.

Declaration
public static Func<Vector3, Vector3> Interpolate(Vector3 v1, Vector3 v2, Vector3 v3)
Parameters
Type Name Description
Vector3 v1
Vector3 v2
Vector3 v3
Returns
Type Description
System.Func<Vector3, Vector3>

Interpolate(Vector3, Vector3, Vector3, Vector3, Vector3, Vector3)

Declaration
public static Func<Vector3, Vector3> Interpolate(Vector3 v1, Vector3 v2, Vector3 v3, Vector3 v4, Vector3 v5, Vector3 v6)
Parameters
Type Name Description
Vector3 v1
Vector3 v2
Vector3 v3
Vector3 v4
Vector3 v5
Vector3 v6
Returns
Type Description
System.Func<Vector3, Vector3>

Interpolate(Vector4, Vector4, Vector4)

Declaration
public static Func<Vector3, Vector4> Interpolate(Vector4 v1, Vector4 v2, Vector4 v3)
Parameters
Type Name Description
Vector4 v1
Vector4 v2
Vector4 v3
Returns
Type Description
System.Func<Vector3, Vector4>

Interpolate(Vector4, Vector4, Vector4, Vector4, Vector4, Vector4)

Declaration
public static Func<Vector3, Vector4> Interpolate(Vector4 v1, Vector4 v2, Vector4 v3, Vector4 v4, Vector4 v5, Vector4 v6)
Parameters
Type Name Description
Vector4 v1
Vector4 v2
Vector4 v3
Vector4 v4
Vector4 v5
Vector4 v6
Returns
Type Description
System.Func<Vector3, Vector4>

InterpolateNormal(MeshData, Int32, Int32, Boolean)

Declaration
public static Func<Vector3, Vector3> InterpolateNormal(MeshData mesh, int submesh, int face, bool invertWinding)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Returns
Type Description
System.Func<Vector3, Vector3>

InterpolatePosition(MeshData, Int32, Int32, Boolean)

Declaration
public static Func<Vector3, Vector3> InterpolatePosition(MeshData mesh, int submesh, int face, bool invertWinding)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Returns
Type Description
System.Func<Vector3, Vector3>

InterpolatePosition(MeshData, Int32, Int32, Boolean, Single, Single)

Declaration
public static Func<Vector3, Vector3> InterpolatePosition(MeshData mesh, int submesh, int face, bool invertWinding, float meshOffset1, float meshOffset2)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
System.Single meshOffset1
System.Single meshOffset2
Returns
Type Description
System.Func<Vector3, Vector3>

InterpolateTangent(MeshData, Int32, Int32, Boolean)

Declaration
public static Func<Vector3, Vector4> InterpolateTangent(MeshData mesh, int submesh, int face, bool invertWinding)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Returns
Type Description
System.Func<Vector3, Vector4>

InterpolateUv(MeshData, Int32, Int32, Boolean)

Declaration
public static Func<Vector3, Vector2> InterpolateUv(MeshData mesh, int submesh, int face, bool invertWinding)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Returns
Type Description
System.Func<Vector3, Vector2>

Jacobi(Vector2, Vector2, Vector2)

Declaration
public static Func<Vector3, Matrix4x4> Jacobi(Vector2 v1, Vector2 v2, Vector2 v3)
Parameters
Type Name Description
Vector2 v1
Vector2 v2
Vector2 v3
Returns
Type Description
System.Func<Vector3, Matrix4x4>

Jacobi(Vector3, Vector3, Vector3)

Declaration
public static Func<Vector3, Matrix4x4> Jacobi(Vector3 v1, Vector3 v2, Vector3 v3)
Parameters
Type Name Description
Vector3 v1
Vector3 v2
Vector3 v3
Returns
Type Description
System.Func<Vector3, Matrix4x4>

Jacobi(Vector3, Vector3, Vector3, Vector3, Vector3, Vector3)

Declaration
public static Func<Vector3, Matrix4x4> Jacobi(Vector3 v1, Vector3 v2, Vector3 v3, Vector3 v4, Vector3 v5, Vector3 v6)
Parameters
Type Name Description
Vector3 v1
Vector3 v2
Vector3 v3
Vector3 v4
Vector3 v5
Vector3 v6
Returns
Type Description
System.Func<Vector3, Matrix4x4>

JacobiPosition(MeshData, Int32, Int32, Boolean)

Declaration
public static Func<Vector3, Matrix4x4> JacobiPosition(MeshData mesh, int submesh, int face, bool invertWinding)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Returns
Type Description
System.Func<Vector3, Matrix4x4>

JacobiPosition(MeshData, Int32, Int32, Boolean, Single, Single)

Declaration
public static Func<Vector3, Matrix4x4> JacobiPosition(MeshData mesh, int submesh, int face, bool invertWinding, float meshOffset1, float meshOffset2)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
System.Single meshOffset1
System.Single meshOffset2
Returns
Type Description
System.Func<Vector3, Matrix4x4>

JacobiUv(MeshData, Int32, Int32, Boolean)

Declaration
public static Func<Vector3, Matrix4x4> JacobiUv(MeshData mesh, int submesh, int face, bool invertWinding)
Parameters
Type Name Description
MeshData mesh
System.Int32 submesh
System.Int32 face
System.Boolean invertWinding
Returns
Type Description
System.Func<Vector3, Matrix4x4>