VCG - Linear Field 2D
Description
2D Linear Field flow defined by its velocity in each point given as the product of matrix A and position vector.
Details
The Linear Field 2D flow is defined by the equation $v = A*\vec{x}$ with the rows of matrix A being definde by the Parameters
A1
and
A2
. 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 and y coordinate.
|
1 0 |
|
A2 |
Second row of matrix A. Defines the dependency of the y-component of the flow velocity on x and y coordinate.
|
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 |
|
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 |
|
Origin |
Point of origin for the samples window.
|
-1.0 -1.0 |
|
Scale |
Scale of sample distance in each dimension.
|
2.0 2.0 |
|
Installation Instructions
Authors
Lutz Hofmann
Acknowledgements