Matrix |
Transformation matrix for affine transformations without translation in 3D space.
Inheritance HierarchyNamespace: Altaxo.Geometry
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public struct Matrix3x3
The Matrix3x3 type exposes the following members.
ConstructorsProperties| Name | Description | |
|---|---|---|
 | Determinant | The determinant of the matrix. |
 | Identity | Gets the identity matrix. |
| Inverse | |
| M11 | Gets the matrix element M[1,1]. |
| M12 | Gets the matrix element M[1,2]. |
| M13 | Gets the matrix element M[1,3]. |
| M21 | Gets the matrix element M[2,1]. |
| M22 | Gets the matrix element M[2,2]. |
| M23 | Gets the matrix element M[2,2]. |
| M31 | Gets the matrix element M[3,1]. |
| M32 | Gets the matrix element M[3,1]. |
| M33 | Gets the matrix element M[3,3]. |
Methods| Name | Description | |
|---|---|---|
 | AppendTransform | Appends a transformation matrix f to this matrix. |
| CreateRotationMatrixFromAxisAndAngleRadian | Creates the rotation matrix from axis and angle radian. |
| 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). |
| DecomposeIntoRotations | Extracts the rotation angles (in radian). Attention: the matrix must be a rotation matrix, i.e. the norm of all rows and colums must be 1! This is not verified here! |
| 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). |
| DecomposeIntoScaleShearRotationDegree | Decomposes the matrix into its rotations (in degree), shear and scale components. |
| DecomposeIntoScaleShearRotationRadian | Decomposes the matrix into its rotations (in radian), shear and scale components. |
| Equals | Indicates whether this instance and a specified object are equal. (Inherited from ValueType) |
| FromRotationDegree | Gets a transformation matrix by specifying rotation (translation is 0, shear is 0 and scale is 1). |
| FromRotationRadian | Gets a transformation matrix by specifying rotation (translation is 0, shear is 0 and scale is 1). |
| FromScaleShearRotationDegree | Gets a transformation matrix by specifying translation, rotation, shear and scale. |
| FromScaleShearRotationRadian | Gets a transformation matrix by specifying translation, rotation, shear and scale. |
| GetHashCode | Returns the hash code for this instance. (Inherited from ValueType) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| InverseTransform | Inverse transform a vector p in such a way that the result will fullfill the relation p = result * matrix ( the * operator being the prepend transformation for vectors). |
| NewFromBasisVectors | Creates a transformation matrix that uses three basis vectors to construct the matrix that transform points expressed in the three basis vectors to points in the coordinate system. |
| PrependTransform | Prepends a transformation matrix a to this matrix. |
| RotationXDegreePrepend | Prepends a rotation transformation around x axis. The angle is specified in degrees. |
| RotationYDegreePrepend | Prepends a rotation transformation around y axis. The angle is specified in degrees. |
| RotationZDegreePrepend | Prepends a rotation transformation around z axis. The angle is specified in degrees. |
| SetScaleShearRotationDegree | Sets this transformation matrix by specifying translation, rotation, shear and scale. |
| SetScaleShearRotationRadian | Sets this transformation matrix by specifying translation, rotation, shear and scale. |
| ToString | (Overrides ValueTypeToString) |
| Transform(PlaneD3D) | |
| Transform(PointD3D) | Transforms the specified point p. Here, the point transform is carried out in the same way as the vector transform. The transformation is carried out as a prepend transformation, i.e. result = p * matrix (p considered as horizontal vector). |
| Transform(VectorD3D) | Transforms the specified vector v. The transformation is carried out as a prepend transformation, i.e. result = v * matrix (v considered as horizontal vector). |
| TransformPoint |
See Also