Class QuadInterpolation

Supplies various bilinear and trilinear interpolation methods. The conventions are based on a XY plane using either a unit square or unit cube.

Inheritance

System.Object

QuadInterpolation

Namespace: Sylves

Assembly: Sylves.dll

Syntax

public static class QuadInterpolation : Object

Methods

GetCorners(MeshData, Int32, Int32, Boolean, out Vector3, 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, out Vector3 v4)

Parameters

Type	Name	Description
MeshData	mesh
System.Int32	submesh
System.Int32	face
System.Boolean	invertWinding
Vector3	v1
Vector3	v2
Vector3	v3
Vector3	v4

GetCorners(MeshData, Int32, Int32, Boolean, Single, Single, out Vector3, out Vector3, 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, out Vector3 v7, out Vector3 v8)

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
Vector3	v7
Vector3	v8

Interpolate(Vector2, Vector2, Vector2, Vector2)

As the Vector3 interpolate, only in 2 dimensions.

Declaration

public static Func<Vector3, Vector2> Interpolate(Vector2 v1, Vector2 v2, Vector2 v3, Vector2 v4)

Parameters

Type	Name	Description
Vector2	v1
Vector2	v2
Vector2	v3
Vector2	v4

Returns

Type	Description
System.Func<Vector3, Vector2>

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

As the Vector3 Interpolate, only in 2 dimensions.

Declaration

public static Func<Vector3, Vector2> Interpolate(Vector2 v1, Vector2 v2, Vector2 v3, Vector2 v4, Vector2 v5, Vector2 v6, Vector2 v7, Vector2 v8)

Parameters

Type	Name	Description
Vector2	v1
Vector2	v2
Vector2	v3
Vector2	v4
Vector2	v5
Vector2	v6
Vector2	v7
Vector2	v8

Returns

Type	Description
System.Func<Vector3, Vector2>

Interpolate(Vector3, Vector3, Vector3, Vector3)

Bilinear interpolates from a unit square in the XZ plane to the quad supplied by v1 to v4 The z value of p is unused.

Declaration

public static Func<Vector3, Vector3> Interpolate(Vector3 v1, Vector3 v2, Vector3 v3, Vector3 v4)

Parameters

Type	Name	Description
Vector3	v1	Final location of (-0.5, 0, -0.5)
Vector3	v2	Final location of (-0.5, 0, 0.5)
Vector3	v3	Final location of (0.5, 0, 0.5)
Vector3	v4	Final location of (0.5, 0, -0.5)

Returns

Type	Description
System.Func<Vector3, Vector3>

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

Tiilinear interpolates from a unit cube to the polyhedron supplied by v1 to v8 The z value of p is unused.

Declaration

public static Func<Vector3, Vector3> Interpolate(Vector3 v1, Vector3 v2, Vector3 v3, Vector3 v4, Vector3 v5, Vector3 v6, Vector3 v7, Vector3 v8)

Parameters

Type	Name	Description
Vector3	v1	Final location of (-0.5, -0.5, -0.5)
Vector3	v2	Final location of (-0.5, -0.5, 0.5)
Vector3	v3	Final location of (0.5, -0.5, 0.5)
Vector3	v4	Final location of (0.5, -0.5, -0.5)
Vector3	v5	Final location of (-0.5, 0.5, -0.5)
Vector3	v6	Final location of (-0.5, 0.5, 0.5)
Vector3	v7	Final location of (0.5, 0.5, 0.5)
Vector3	v8	Final location of (0.5, 0.5, -0.5)

Returns

Type	Description
System.Func<Vector3, Vector3>

Interpolate(Vector4, Vector4, Vector4, Vector4)

As the Vector3 interpolate, only in 4 dimensions.

Declaration

public static Func<Vector3, Vector4> Interpolate(Vector4 v1, Vector4 v2, Vector4 v3, Vector4 v4)

Parameters

Type	Name	Description
Vector4	v1
Vector4	v2
Vector4	v3
Vector4	v4

Returns

Type	Description
System.Func<Vector3, Vector4>

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

As the Vector3 interpolate, only in 4 dimensions.

Declaration

public static Func<Vector3, Vector4> Interpolate(Vector4 v1, Vector4 v2, Vector4 v3, Vector4 v4, Vector4 v5, Vector4 v6, Vector4 v7, Vector4 v8)

Parameters

Type	Name	Description
Vector4	v1
Vector4	v2
Vector4	v3
Vector4	v4
Vector4	v5
Vector4	v6
Vector4	v7
Vector4	v8

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)

Sets up a function that does trilinear interpolation from a unit cube centered on the origin to a cube made by extruding a given face of the mesh by meshOffset1 (for y=-0.5) and meshOffset2 (for y=0.5)

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, Vector2)

As the Vector3 jacobi, only in 2 dimensions.

Declaration

public static Func<Vector3, Matrix4x4> Jacobi(Vector2 v1, Vector2 v2, Vector2 v3, Vector2 v4)

Parameters

Type	Name	Description
Vector2	v1
Vector2	v2
Vector2	v3
Vector2	v4

Returns

Type	Description
System.Func<Vector3, Matrix4x4>

Jacobi(Vector3, Vector3, Vector3, Vector3)

Bilinear interpolates from a unit square in the XZ plane to the quad supplied by v1 to v4, returning the jacobi The z value of p is unused.

Declaration

public static Func<Vector3, Matrix4x4> Jacobi(Vector3 v1, Vector3 v2, Vector3 v3, Vector3 v4)

Parameters

Type	Name	Description
Vector3	v1	Final location of (-0.5, 0, -0.5)
Vector3	v2	Final location of (-0.5, 0, 0.5)
Vector3	v3	Final location of (0.5, 0, 0.5)
Vector3	v4	Final location of (0.5, 0, -0.5)

Returns

Type	Description
System.Func<Vector3, Matrix4x4>

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

Tiilinear interpolates from a unit cube to the polyhedron supplied by v1 to v8, returning the jacobi The z value of p is unused.

Declaration

public static Func<Vector3, Matrix4x4> Jacobi(Vector3 v1, Vector3 v2, Vector3 v3, Vector3 v4, Vector3 v5, Vector3 v6, Vector3 v7, Vector3 v8)

Parameters

Type	Name	Description
Vector3	v1	Final location of (-0.5, -0.5, -0.5)
Vector3	v2	Final location of (-0.5, -0.5, 0.5)
Vector3	v3	Final location of (0.5, -0.5, 0.5)
Vector3	v4	Final location of (0.5, -0.5, -0.5)
Vector3	v5	Final location of (-0.5, 0.5, -0.5)
Vector3	v6	Final location of (-0.5, 0.5, 0.5)
Vector3	v7	Final location of (0.5, 0.5, 0.5)
Vector3	v8	Final location of (0.5, 0.5, -0.5)

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)

Returns the Jacobi (derivative) of InterpolatePosition

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>