SHAH AND GRADY RESPOND

q-Serre relations and the Dolan-Grady relations

We define an algebra on two generators which we call the Tridiagonal algebra, and we consider its irreducible modules. The algebra is defined as follows. Let K denote a field, and let β, γ, γ∗, ̺, ̺∗ denote a sequence of scalars taken from K. The corresponding Tridiagonal algebra T is the associative K-algebra with 1 generated by two symbols A, A∗ subject to the relations [A,AA − βAAA+AA − γ(AA∗ ...

Shah-Waardenburg Syndrome

Shah-Waardenburg syndrome (SWS) is a neurocristopathy and is characterized by Hirschsprung's disease (HD), deafness, and depigmentation of hairs, skin, and iris. Is a very rare congenital disorder with variable clinical expression. This report describes a 4-day-old male newborn with Waardenburg's syndrome associated with aganglionosis of the colon and terminal ileum, and review the relevant lit...

Multiplierless Mumford and Shah Functional Implementation

This paper proposes the implementation of the Mumford and Shah functional without using complex operations as multiplications and divisions. Our goal is to show that the achieved results in terms of performance/complexity trade-off are well suited for video applications of the Mumford and Shah functional, such as motion estimation based on segmentation techniques. To this purpose two implementa...

Mumford-Shah Regularizer with Spatial Coherence

As recently discussed by Bar, Kiryati, and Sochen in [3], the Ambrosio-Tortorelli approximation of the Mumford-Shah functional defines an extended line process regularization where the regularizer has an additional constraint introduced by the term ρ|∇v|. This term mildly forces some spatial organization by demanding that the edges are smooth. However, it does not force spatial coherence such a...

Nightingale and Indekeu respond.