Theory of spatiochromatic image encoding and feature extraction
- 1 October 2000
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 17 (10) , 1744-1754
- https://doi.org/10.1364/josaa.17.001744
Abstract
We consider how to interpret, filter, and cross-correlate complex-value color (hue and saturation) images by using a single discrete Fourier transform: the spatiochromatic discrete Fourier transform. The model defines new types of spatiochromatic oriented sinusoidal gratings, termed rainbow gratings, which encode the variation of color over space. We demonstrate how color-opponent detectors observed within the vertebrate visual system can be easily defined by linear filters within this representation. This model also allows us to filter and detect both spatial and chromatic patterns in images by using a single cross-correlation procedure. In doing so, we explore a new form of the Cauchy–Schwartz inequality applied to complex-valued scalar products. Results demonstrate the power of this form of spatiochromatic matched filtering in detecting signals embedded in such a significant amount of noise that they are not visible to the unaided human eye.Keywords
This publication has 8 references indexed in Scilit:
- A multiscale representation including opponent color features for texture recognitionIEEE Transactions on Image Processing, 1998
- Modeling and classifying symmetries using a multiscale opponent color representationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1998
- Region-Based Coding of Color Images Using Karhunen–Loeve TransformGraphical Models and Image Processing, 1997
- The illumination-invariant recognition of 3D objects using local color invariantsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1996
- On the classification of image regions by colour, texture and shapePattern Recognition, 1993
- Mathematical description of the responses of simple cortical cells*Journal of the Optical Society of America, 1980
- Two-dimensional spectral analysis of cortical receptive field profilesVision Research, 1980
- Shape Discrimination Using Fourier DescriptorsIEEE Transactions on Systems, Man, and Cybernetics, 1977