Similarity classes of affine maps

On Analytical Study of Self-Affine Maps

Self-affine maps were successfully used for edge detection, image segmentation, and contour extraction. They belong to the general category of patch-based methods. Particularly, each self-affine map is defined by one pair of patches in the image domain. By minimizing the difference between these patches, the optimal translation vector of the self-affine map is obtained. Almost all image process...

on analytical study of self-affine maps

self-affine maps were successfully used for edge detection, image segmentation, and contour extraction. they belong to the general category of patch-based methods. particularly, each self-affine map is defined by one pair of patches in the image domain. by minimizing the difference between these patches, the optimal translation vector of the self-affine map is obtained. almost all image process...

Semi-θ-Open Sets and New Classes of Maps

Affine Similarity of Refinable Functions

In this paper, we consider certain affine similarity of refinable functions and establish certain connection between some local and global properties of refinable functions, such as local and global linear independence , local smoothness and B-spline, local and global Hölder continuity.

Polynomial Maps of Affine Quadrics

Since the article [3] on polynomial maps of spheres appeared about 25 years ago, there have been a number of papers on the theory of rational maps of real varieties (see the references in [2], for example) which have many interesting things to say about the representation of homotopy classes by algebraic maps. As far as I know, however, the problem of representing elements in the homotopy group...