G'MIC - GREYC's Magic for Image Computing: A Full-Featured Open-Source Framework for Image Processing
GREYC CNRS ENSICAEN UNICAEN

A Full-Featured Open-Source Framework for Image Processing

Latest stable version: 3.5.5        Current pre-release: 3.6.0 (2025/06/19)

Reference

Table of Contents  ▸  List of Commands  ▸  Matrix Computation  ▸  eigen◀  dijkstra    |    eye  ▶

eigen

Built-in command

No arguments

Description:

Compute the eigenvalues and eigenvectors of selected symmetric matrices or matrix fields.

If one selected image has 3 or 6 channels, it is regarded as a field of 2x2 or 3x3 symmetric matrices,
whose eigen elements are computed at each point of the field.

This command has a tutorial page.

Examples of use:

• Example #1

(1,0,0;0,2,0;0,0,3) +eigen

Command: (1,0,0;0,2,0;0,0,3) +eigen
Command: (1,0,0;0,2,0;0,0,3) +eigen
Command: (1,0,0;0,2,0;0,0,3) +eigen

• Example #2

image.jpg structuretensors blur 2 eigen split[0] c

Command: image.jpg structuretensors blur 2 eigen split[0] c
Command: image.jpg structuretensors blur 2 eigen split[0] c
Command: image.jpg structuretensors blur 2 eigen split[0] c
G'MIC - GREYC's Magic for Image Computing: A Full-Featured Open-Source Framework for Image Processing

G'MIC is an open-source software distributed under the CeCILL free software licenses (LGPL-like and/or
GPL-compatible). Copyrights (C) Since July 2008, David Tschumperlé - GREYC UMR CNRS 6072, Image Team.