Geometric model and simulation.

Geometric Ergodicity and Perfect Simulation

Abstract This note extends the work of Foss and Tweedie (1998), who showed that availability of the classic Propp and Wilson (1996) Coupling from The Past algorithm is essentially equivalent to uniform ergodicity for a Markov chain (see also Hobert and Robert 2004). In this note we show that all geometrically ergodic chains possess dominated Coupling from The Past algorithms (not necessarily pr...

A Geometric Deformation Model for Stable Cloth Simulation

We propose an adapted shape-matching approach for the efficient and robust simulation of clothing. A combination of two different cluster types is employed to account for high stretching and shearing, and low bending resistance. Due to the inherent handling of overshooting issues, the proposed shape-matching deformation model is robust. The proposed cluster types allow for a computationally eff...

Power Normal-Geometric Distribution: Model, Properties and Applications

In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

Geometric Computations for Simulation

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...