The Color Monogenic Signal: Application to Color Edge Detection and Color Optical Flow

Authors:
Guillaume Demarcq;Laurent Mascarilla;Michel Berthier;Pierre Courtellemont
Affiliations:
Laboratoire Mathématiques, Images, Applications (MIA), Université de La Rochelle, La Rochelle Cedex, France 17042;Laboratoire Mathématiques, Images, Applications (MIA), Université de La Rochelle, La Rochelle Cedex, France 17042;Laboratoire Mathématiques, Images, Applications (MIA), Université de La Rochelle, La Rochelle Cedex, France 17042;Laboratoire Mathématiques, Images, Applications (MIA), Université de La Rochelle, La Rochelle Cedex, France 17042
Venue:
Journal of Mathematical Imaging and Vision
Year:
2011

Citing 16
Cited 1

A note on the gradient of a multi-image

Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
A Computational Approach to Edge Detection

IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge detection in multispectral images

CVGIP: Graphical Models and Image Processing
Two-dimensional imaging

Two-dimensional imaging
Color snakes

Computer Vision and Image Understanding
Geometric computing with Clifford algebras: theoretical foundations and applications in computer vision and robotics

Geometric computing with Clifford algebras: theoretical foundations and applications in computer vision and robotics
Recursive Filtering and Edge Closing: two primary tools for 3-D edge detection

ECCV '90 Proceedings of the First European Conference on Computer Vision
The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space

Journal of Mathematical Imaging and Vision
Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods

International Journal of Computer Vision
Clifford Fourier Transform on Vector Fields

IEEE Transactions on Visualization and Computer Graphics
Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's

International Journal of Computer Vision
A Metric and Multiscale Color Segmentation Using the Color Monogenic Signal

CAIP '09 Proceedings of the 13th International Conference on Computer Analysis of Images and Patterns
An iterative image registration technique with an application to stereo vision

IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Dense optical flow estimation from the monogenic curvature tensor

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
The color monogenic signal: a new framework for color image processing. application to color optical flow.

ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
The monogenic signal

IEEE Transactions on Signal Processing

The canny edge detection and its improvement

AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence

Quantified Score

Hi-index	0.00

Visualization

Abstract

The aim of this paper is to define an extension of the analytic signal for a color image. We generalize the construction of the so-called monogenic signal to mappings with values in the vectorial part of the Clifford algebra 驴5,0. Solving a Dirac equation in this context leads to a multiscale signal (relatively to the Poisson scale-space) which contains both structure and color information. The color monogenic signal can be used in a wide range of applications. Two examples are detailed: the first one concerns a multiscale geometric segmentation with respect to a given color; the second one is devoted to the extraction of the optical flow from moving objects of a given color.