This paper presents a method for effectively modeling the outer surfaces of inlay/onlay prostheses restoring teeth that are partially destroyed. We exploit 3D mesh deformation techniques: direct manipulation free-form deformation (DMFFD) [9] and multiple wires deformation (MWD) [10] with three kinds of information: standard teeth models, scanned mesh data from the plaster cast of a patient's to...

For n ≥ 4 we shall construct a family D(q) of non-commutative deformations of the coordinate algebra of a Kleinian singularity of type Dn depending on a polynomial q of degree n. We shall prove that every deformation of a type D Kleinian singularity which is not commutative is isomorphic to some D(q). We shall then consider in type D the family of deformations Oλ constructed by Crawley-Boevey a...

We review shortly present status of quantum deformations of Poincaré and conformal supersymmetries. After recalling the κ–deformation of D=4 Poincaré supersymmetries we describe the corresponding star product multiplication for chiral superfields. In order to describe the deformation of chiral vertices in momentum space the integration formula over κ–deformed chiral superspace is proposed.

We generalize multivariate hook product formulae for P -partitions. We use Macdonald symmetric functions to prove a (q, t)-deformation of Gansner’s hook product formula for the generating functions of reverse (shifted) plane partitions. For a d-complete poset, we present a conjectural (q, t)-deformation of Peterson–Proctor’s hook product formula.

State-of-the art algorithms for deformable image registration are based on the minimization of an image similarity functional that is regularized by adding a penalty term on the deformation map. The penalty function typically represents a smoothness regularization. In this article, we use a constrained optimization formulation in which the image similarity functional is coupled to a biophysical...