Research demos

Relations between filtering methods

Monotoncity-enhancing NL diffusion

Stopping time selection

Diffusion filtering examples

Nonlinear diffusion

My PhD research at CMP concentrated on nonlinear diffusion applied to image filtering, with special accent on monotonicity of the data. I submitted the dissertation in June 2001, the following topics form the main contributions: extension of nonlinear diffusion filters for piecewise linear or piecewise monotone data: demo, anisotropic filtering example method to automatically select the optimal stopping time for iterative image filtering: demo splitting method needed for efficient numerical approximation of anisotropic NL diffusion You can also see some more diffusion filtering examples or download the texts from the publications page.

Other research interests

		Computer vision and applications, image processing, robust estimation
		Geometry of rigid motion, its reconstruction, constraints
		Geometry of curves and surfaces, spline, Bezier, etc.
		Applied and numerical mathematics, fuzzy logic and its applications
		Mathematical software (Matlab, Maple), programming (C, C++), typography (TeX)