Computational methods for image restoration, image segmentation, and texture modeling
Ginmo Chung, Triet Minh Le, Linh H. Lieu, Nicolay M. Tanushev, Luminita A. Vese · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2006
This work is devoted to new computational models for image segmentation, image restoration and image decomposition. In particular, we partition an image into piecewise-constant regions using energy minimization and curve evolution approaches. Applications of denoising-segmentation in polar coordinates (motivated by impedance tomography) and of segmentation of brain images will be presented. Also, we decompose a natural image into a cartoon or geometric component and an oscillatory or texture component using a variational approach and dual functionals. Thus, new computational methods will be presented for denoising, deblurring and texture modeling.