MatrixArithmetic

MLModule

status	stable
author	Tobias Böhler
package	MeVisLab/Standard
dll	MLCoordUtils1
definition	mlMatrixArithmetic.def
see also	DecomposeMatrix, ComposeMatrix
keywords	matrix, arithmetic, mult, div, sum, add, subtract, compose, inverse, determinant, trace

Purpose

The module MatrixArithmetic offers standard arithmetic operations on one or two given homogenous 4x4 matrices, scalars and vectors.

Usage

The module requires two matrices Matrix A and Matrix B.

Unary operations (inverse, pseudoinverse, transpose, negation) take only one Matrix A, whereas binary operations (add, subtract, multiply) require both matrices.

Scalar and vector operations require corresponding inputs.

Windows

Default Panel

Parameter Fields

Field Index

Determinant: Double	Resulting Matrix C: Matrix
Inner Products.: Vector3	Scalar: Double
Is Orthogonal: Bool	Trace: Double
Is Valid: Bool	Vector D: Vector4
Matrix A: Matrix	Vector R: Vector4
Matrix B: Matrix
Matrix Sum: Double
Operation: Enum

Visible Fields

Matrix A

name: matrixA, type: Matrix, default: 1 0 0 0, 0 1 0 0, 0 0 1 0, 0 0 0 1

Sets the first input matrix. Is required for unary operations.

Matrix B

name: matrixB, type: Matrix, default: 1 0 0 0, 0 1 0 0, 0 0 1 0, 0 0 0 1

Sets the second input matrix. Is required for binary operations.

Operation

name: operation, type: Enum, default: Identity

Defines the operation.

Values:

Title	Name	Description
Identity	Identity	C = A
Inverse	Inverse	C = A^-1
Moore Penrose Pseudoinverse	MoorePenrosePseudoinverse	C = (A^T * A)^-1 * A^T
Transpose	Transpose	C = A^T
Negation	Negation	C = -A
Add	Add	C = A + B
Multiply	Multiply	C = A * B
Subtract	Subtract	C = A - B
Multiply With Scalar	MultiplyWithScalar	C = A * s
Add Scalar	AddScalar	C = A + s
Multiply With Vector	MultiplyWithVector	V = A * D
Equation System Solver	Equation System Solver	A * R = D

Resulting Matrix C

name: outputMatrixC, type: Matrix, default: 1 0 0 0, 0 1 0 0, 0 0 1 0, 0 0 0 1

Shows the resulting matrix.

Determinant

name: outputDeterminant, type: Double, default: 1

Shows the determinant of the resulting matrix.

Trace

name: outputTrace, type: Double, default: 4

Shows the trace of the output matrix.

Vector R

name: outputVectorV, type: Vector4, default: 0 0 0 0

Shows the output vector in case of using the operation Equation System Solver.

Is Valid

name: outputIsValid, type: Bool, default: TRUE

Shows if the result is valid.

Scalar

name: scalarValue, type: Double, default: 0

Sets the input scalar value.

Vector D

name: inputVectorD, type: Vector4, default: 0 0 0 0

Sets the input vector.

Matrix Sum

name: outputSumAbs, type: Double, default: 4

Shows the output absolute matrix sum.

Is Orthogonal

name: outputIsOrthogonal, type: Bool, default: TRUE

Shows if the output matrix is orthogonal.

Inner Products.

name: outputScalarProducts, type: Vector3, default: 0 0 0

Shows the vector of inner produtcs of the output matrix.