This paper develops a multiscale connectivity theory for shapes based on the axiomatic definition of new generalized connectivity measures, which are obtained using morphology-base...
This paper suggests a high-level continuous image model for planar star-shaped objects. Under this model, a planar object is a stochastic deformation of a star-shaped template. The...
Motivated by operators simplifying the topographic map of a function, we study the theoretical properties of two kinds of "grain" filters. The first category, discovered ...
In our recent work, a class of parametric transforms, including family of Haar-like transforms, was introduced and studied in application to image compression. Parametric Haar-lik...
We consider a median pyramidal transform for denoising applications. Traditional techniques of pyramidal denoising are similar to those in wavelet-based methods. In order to remove...
Ilya Gluhovsky, Vladimir P. Melnik, Ilya Shmulevic...