Many graphics applications represent deformable surfaces through dynamic meshes. To be consistent during deformations, the dynamic meshes require an adaptation process. In this paper we present a simple and flexible framework to adapt dynamic meshes following deformable surfaces. Our scheme combines normal and tangential geometric corrections with refinement and simplification resolution contro...

In this paper, we introduce new, combinatorially defined subvarieties of isotropic Grassmannians called symplectic restriction varieties. We study their geometric properties and compute their cohomology classes. In particular, we give a positive, combinatorial, geometric branching rule for computing the map in cohomology induced by the inclusion i : SG(k, n)→ G(k, n). This rule has many applica...

It has been common wisdom among mathematicians that Extended Topological Field Theory in dimensions higher than two is naturally formulated in terms of n-categories with n > 1. Recently the physical meaning of these higher categorical structures has been recognized and concrete examples of Extended TFTs have been constructed. Some of these examples, like the Rozansky-Witten model, are of geomet...

By far, many stereo-matching techniques have been successfully proposed and applied in digital aerial photogrammetry. However, due to some problems such as large parallaxes, occlusions, geometric deformations, and repetitive patterns in convergent close range images, these methods may not be applicable to the same level of success as that of aerial imagery. In order to overcome these shortcomin...

Nuclides sharing the same mass number (isobars) are observed ubiquitously along stability line. While having nearly identical radii, stable isobars can differ in shape, and present particular different quadrupole deformations. We show that even small differences these deformations be probed by relativistic nuclear collisions experiments, where they manifest as deviations from unity ratios of el...

This paper is concerned with deformations of structures on manifolds. It is divided into two parts: Part A treats the question of defining a general theory of deformations which will generalize the theory in, e.g. [1 ], [7], and [10], while at the same time retaining some geometric or analytical significance. The second section, Part B, investigates in more detail the implications of our genera...

by far, many stereo-matching techniques have been successfully proposed and applied in digital aerial photogrammetry. however, due to some problems such as large parallaxes, occlusions, geometric deformations, and repetitive patterns in convergent close range images, these methods may not be applicable to the same level of success as that of aerial imagery. in order to overcome these shortcomin...

In this paper, we present a new approach for shape representation and retrieval based on histograms. In the drawback of the proposed histograms descriptor, we consider the concept of curves points. This integration in the proposed histogrambased approach is quite different since geometric description is stored in histograms. The proposed description is not only effective and invariant to geomet...