Parameterizations that use mesh simplification to build the base domain always adopt the vertex removal scheme. This paper applies edge collapse to constructing the base domain instead. After inducing the parameterization of the original mesh over the base domain, new algorithms map the new vertices in the simplified mesh back to the original one according to the edge transition sequence to int...

We show that the Flatté formula is not adequate to interpret precision data on a resonance production near an inelastic threshold. A unitary parameterization, satisfying generalized Watson’s theorem for the production amplitudes, is proposed to replace the Flatté parameterization in the phenomenological analyses of the experimental data.

This paper addresses the problem of computing planar patterns for compression garments. In the garment industry, the compression garment has been more and more widely used to retain a shape of human body, where certain strain (or normal pressure) is designed at some places on the compression garment. Variant values and distribution of strain can only be generated by sewing different 2D patterns...

We use the ideas of generalized convexity. We focus our attention on the set of multipliers. We look for an interpretation of multipliers as generalized derivatives of the performance function associated with a dualizing parameterization of the given problem.

Meshes obtained from laser scanner data often contain topological noise due to inaccuracies in the scanning and merging process. This topological noise complicates subsequent operations such as remeshing, parameterization and smoothing. We introduce an approach that removes unnecessary nontrivial topology from meshes. Using a local wave front traversal, we discover the local topologies of the m...

We present a classical r-matrix for the Hitchin system without marked points on an arbitrary non-degenerate algebraic curve of genus g ≥ 2 using Tyurin parameterization of holomorphic vector bundles.

In the present work, the origin of antiprotons observed in cosmic rays (above the atmosphere) is analyzed in details. We have considered the origin of the primaries, (which their interactions with the interstellar medium is one of the most important sources of antiprotons) is a supernova type II then used a diffusion model for their propagation. We have used the latest parameterization for anti...

We study genus 2 function fields with elliptic subfields of degree 2. The locus L2 of these fields is a 2-dimensional subvariety of the moduli space M2 of genus 2 fields. An equation for L2 is already in the work of Clebsch and Bolza. We use a birational parameterization of L2 by affine 2-space to study the relation between the j-invariants of the degree 2 elliptic subfields. This extends work ...

In 3D graphical rendering, it is common to want to produce a rendered image of an object that’s as realistic as possible, subject to the limits of memory and computing power available. A commonly used technique that helps to achieve this realism is texture mapping. The parameterization, which is the subject of this project, defines how points in the texture relate to points on the object’s surf...