Weborder flows the threshold dynamics (or diffusion generated motion) idea of Merriman, Bence, and Osher [20, 21] proposed originally for motion by mean curvature. 2 Previous … WebThreshold Dynamics for High Order Geometric Motions Selim Esedoglu¯ ∗ Steven J. Ruuth† Richard Tsai‡ September 20, 2007 Abstract In this paper, a class of algorithms for the high order geometric motion of planar curves is de-veloped. The algorithms alternate two simple steps—a convo lution and a thresholding step—to evolve
Threshold Dynamics for High Order Geometric Motions
Web1. Introduction. In this paper, we will describe new, second order accurate in time versions of a popular algorithm for simulating the motion of interfaces by mean curvature known as … WebThe threshold dynamics algorithm of Merriman, Bence, and Osher is only first order accurate in the two-phase setting. Its accuracy degrades further to half order in the multi-phase setting, a shortcoming it has in common with other related, more recent algorithms such as the equal surface tension version of the Voronoi implicit interface method. As a first, … phmc virtual collections showcase
4.1 Threshold effects Neuronal Dynamics online book - EPFL
Webmay underestimate and overestimate infection risks in other cases. The global dynamics of a periodic epidemic model with patch structure is analyzed in order to study the impact of periodic contacts or periodic migrations on the disease transmission. Keywords Compartmental models ·Reproduction ratio ·Periodicity ·Threshold dynamics WebWe present a simplified version of the threshold dynamics algorithm given in Esedo¯glu and Otto (Commun Pure Appl Math 68(5):808–864, 2015). The new version still allows specifying N 2 possibly distinct surface tensions and N 2 possibly distinct mobilities for a network with N phases, but achieves this level of generality without the use of ... WebThreshold Dynamics for High Order Geometric Motions Selim Esedoglu¯ ∗ Steven J. Ruuth† Richard Tsai‡ May 10, 2006 Abstract In this paper, a class of algorithms for the high order geometric motion of planar curves is devel-oped. The algorithms alternate two simple steps—a convolut ion and a thresholding step—to evolve phmc trails of history