Orthonormalize#
Computes the orthonormalized matrix from an input matrix or array of matrices. In practice, this involves treating the columns (or rows, depending on whether column-major or row-major semantics are being utilized for matrix descriptions - in mathematics the former is often used, while in computer graphics the latter tends to be preferred) of each input matrix as independent vectors that span some N-dimensional space (N being the number of column or row vectors in the matrix) and finding another set of mutually-perpendicular vectors that span the same space before normalizing each one (hence the term “orthonormal”; also see the so-called “Gram-Schmidt Process” that details exactly how one can go about performing this computation); these new sets of vectors can then be combined to form the “orthonormal” versions of each input matrix.
Installation#
To use this node enable omni.graph.nodes_core in the Extension Manager.
Inputs#
Name |
Type |
Descripton |
Default |
|---|---|---|---|
Matrix (inputs:matrix) |
|
Input matrix or array of matrices to orthonormalize. |
None |
Outputs#
Name |
Type |
Descripton |
Default |
|---|---|---|---|
Result (outputs:result) |
|
The orthonormalized matrix or array of matrices (with preserved typing). |
None |
Metadata#
Name |
Value |
|---|---|
Unique ID |
omni.graph.nodes.Orthonormalize |
Version |
1 |
Extension |
omni.graph.nodes_core |
Has State? |
False |
Implementation Language |
C++ |
Default Memory Type |
cpu |
Generated Code Exclusions |
None |
uiName |
Orthonormalize |
Categories |
math:operator |
Generated Class Name |
OgnOrthonormalizeDatabase |
Python Module |
omni.graph.nodes_core |