Cross- and auto-correlation in early vision

Cross- and auto-correlation in early vision.

Neurons that respond selectively to the orientation of visual stimuli were discovered in V1 more than 50 years ago, but it is still not fully understood how or why this is brought about. We report experiments planned to show whether human observers use cross-correlation or auto-correlation to detect oriented streaks in arrays of randomly positioned dots, expecting that this would help us to und...

Canonical correlation analysis in early vision processing

This paper illustrates how canonical correlation analysis can be used for designing efficient visual operators by learning. The approach is highly task oriented and what constitutes the relevant information is defined by a set of examples. The examples are pairs of images displaying a strong dependence in the chosen feature but are otherwise independent. Experimental results are presented illus...

Families of Matrices with Good Auto and Cross-Correlation

We construct a family of p-1 square p% p matrices (p is any prime) whose periodic cross-correlation values are uniformly –p,0,+p between all pairs of the matrices in the family. For every one of the matrices in the family, all the off -peak autocorrelation values are –p and 0, while the single peak valu e is p(p-1). For p=127 (where the values –p,0,+p are below 1% of the size p of the matrices)...

Cross- and Auto-Correlation Effects Arising From Averaging

Hypercomplex Auto-And-Cross-Correlation of Color Images

Autocorrelation and cross-correlation have been defined and utilized in signal and image processing for many years, but not for color or vector images. In this poster we present for the first time a definition of correlation applicable to color images, based on quaternions or hypercomplex numbers. We have devised a visualization of the result using the polar form of a quaternion in which color ...