VCG - Linear Field 3D

Description

3D Linear Field flow defined by its velocity in each point given as the product of matrix A and position vector.

Details

The Linear Field 3D flow is defined by the equation $v = A*\vec{x}$ with the rows of matrix A being definde by the Parameters A1 , A2 and A3 . Alternatively, the columns of the matrix A can be interpreted as eigenvectors through the parameter Eigenvectors . It's then possible to define the corresponding real eigenvalues and set the number of complex eigenvalues.

Input

Output

vtkImageData

Parameters

Name
Description
 Values/Default
A1 First row of matrix A. Defines the dependency of the x-component of the flow velocity on x,y and z coordinate. 1 0 0
A2 Second row of matrix A. Defines the dependency of the y-component of the flow velocity on x,y and z coordinate. 0 1 0
A3 Third row of matrix A. Defines the dependency of the z-component of the flow velocity on x,y and z coordinate. 0 0 1
Eigenvectors Treat the columns of matrix A as eigenvectors instead. 0
Eigenvalues Eigenvalues of each eigenvector (corresponding column of matrix A). 1 1 1
ComplexEigenvalues Number of complex eigen pairs. 0
OutputSpaceTime Add time dimension to output dimenstions. 0
TimeRange Time range of samples. 0.0 0.0
TimeSteps Number of time steps for the samples. 1
Samples Number of samples in each dimension. 10 10 10
Origin Point of origin for the samples window. -1.0 -1.0 -1.0
Scale Scale of sample distance in each dimension. 2.0 2.0 2.0

Installation Instructions

Authors

Lutz Hofmann

Acknowledgements