Matrix |
Transformation matrix for general non-affine transformations in 3D space.
This matrix is used mainly for intermediate results.
Inheritance HierarchyNamespace: Altaxo.Geometry
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3261.0 (4.8.3261.0)
SyntaxC#
public struct Matrix4x4
The Matrix4x4 type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Matrix4x4(Matrix4x3) | Initializes a new instance of the Matrix4x4 class |
| Matrix4x4(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double) | Initializes a new instance of the Matrix4x4 struct. |
Properties| Name | Description | |
|---|---|---|
 | Determinant | |
| Item | |
| M11 | Gets the matrix element M[1,1]. |
| M12 | Gets the matrix element M[1,2]. |
| M13 | Gets the matrix element M[1,3]. |
| M14 | Gets the matrix element M[1,4]. |
| M21 | Gets the matrix element M[2,1]. |
| M22 | Gets the matrix element M[2,2]. |
| M23 | Gets the matrix element M[2,2]. |
| M24 | Gets the matrix element M[2,4]. |
| M31 | Gets the matrix element M[3,1]. |
| M32 | Gets the matrix element M[3,1]. |
| M33 | Gets the matrix element M[3,3]. |
| M34 | Gets the matrix element M[3,4]. |
| M41 | Gets the matrix element M[4,1]. This is OffsetX. |
| M42 | Gets the matrix element M[4,2]. This is OffsetY. |
| M43 | Gets the matrix element M[4,3]. This is OffsetZ. |
| M44 | Gets the matrix element M[4,4]. |
Methods| Name | Description | |
|---|---|---|
| DecomposeIntoQR | Decomposes this matrix into a product Q*R, in which Q is an orthonormal matrix, and R is an upper triangular matrix, using the Gram–Schmidt process. This process is also known as QR-decomposition (https://en.wikipedia.org/wiki/QR_decomposition#QL,_RQ_and_LQ_decompositions). |
| DecomposeIntoRQ | Decomposes this matrix into a product R*Q, in which R is an upper triangular matrix, and Q is an orthonormal matrix, using the Gram–Schmidt process. This process is also known as RQ-decomposition (https://en.wikipedia.org/wiki/QR_decomposition#QL,_RQ_and_LQ_decompositions). |
| Equals | Indicates whether this instance and a specified object are equal. (Inherited from ValueType) |
| GetHashCode | Returns the hash code for this instance. (Inherited from ValueType) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| Inverse | |
| ToString | (Overrides ValueTypeToString) |
| Transform(PointD3D) | Transforms the specified point p. For a point transform, the offset elements M41..M43 are used. The transformation is carried out as a prepend transformation, i.e. result = p * matrix (p considered as horizontal vector). |
| Transform(VectorD4D) | |
| WithPrependedTransformation | Returns a new matrix based on the current matrix, but onto which another transformation was prepended. |
See Also