A new variational PDE based level set method for a simultaneous image segmentation and non-rigid registration using prior shape and intensity information is presented. The segmentation is obtained by finding a non-rigid registration to the prior shape. The non-rigid registration consists of both a global rigid transformation and a local non-rigid deformation. In this model, a prior shape is use...

We consider the crossing and non-crossing O(1) dense loop models on a semi-infinite strip, with inhomogeneities (spectral parameters) that preserve the integrability. We compute the components of the ground state vector and obtain a closed expression for their sum, in the form of Pfaffian and determinantal formulas.

A method for corresponding the boundaries of two shapes is presented. The algorithm employs a sparse polygonal approximation of one of the boundaries, generated using a critical point detection algorithm. A matching sparse polygon is sought on the second of the two boundaries which is both similar in shape to and has a similar representation error to the rst. Optimisation of a cost function usi...

We present a novel approach for grouping from motion, based on a 4-D Tensor Voting computational framework. From sparse point tokens in two frames we recover the dense velocity field, motion boundaries and regions, in a non-iterative process that does not involve initialization or search in a parametric space, and therefore does not suffer from local optima or poor convergence problems. We enco...

A bar-slider framework is a bar-joint framework a part of whose joints are constrained by using line-sliders. Such joints are allowed to move only along the sliders. Streinu and Theran proposed a combinatorial characterization of the infinitesimal rigidity of generic bar-slider frameworks in two dimensional space. In this paper we propose a generalization of their result. In particular, we prov...