We show that inverse problems with a truncated quadratic regularization are NP-hard in general to solve or even approximate up to an additive error. This stands in contrast to the case corresponding to a finite-dimensional approximation to the Mumford-Shah functional, where the operator involved is the identity and for which polynomial-time solutions are known. Consequently, we confirm the infe...

We study global Mumford-Shah minimizers in R , introduced by Bonnet as blow-up limits of Mumford-Shah minimizers. We prove a new monotonicity formula for the energy of u when the singular set K is contained in a smooth enough cone. We then use this monotonicity to prove that for any reduced global minimizer (u,K) in R, if K is contained in a half-plane and touching its edge, then it is the half...

BACKGROUND Shah-Waardenburg syndrome is Waardenburg syndrome associated with Hirschsprung's disease. CASE CHARACTERISTICS A 10-day-old full-term male neonate of Waardenburg syndrome presented with constipation since birth along with features of small bowel obstruction. OBSERVATION Exploratory laparotomy revealed distended proximal jejunal and ileal loops along with microcolon; an ileostomy ...

Alper YILMAZ Mubarak Ali Shah University of Central Florida {yilmaz, shah}@cs.ucf.edu Abstract In this study, a new framework for parsing a video sequence into shots is presented. The new algorithm uses eigenspace decomposition of the RGB color space to describe the frames in a more descriptive coordinate system. The new basis eliminates the stumbling blocks of current shot detection approaches...

A new variational region based model for a simultaneous image segmentation and a rigid registration is proposed. The purpose of the model is to segment and register novel images simultaneously using a modified piecewise constant Mumford-Shah functional and region intensity values. The segmentation is obtained by minimizing a modified piecewise constant Mumford-Shah functional. A registration is...