Convolution—thresholding methods for interface motion
Convolution—thresholding methods for interface motion
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DOI：
10.1006/jcph.2000.6580
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发表时间：
2001-05
影响因子：
4.1
通讯作者：
Steven J. Ruuth;B. Merriman
中科院分区：
文献类型：
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作者：
Steven J. Ruuth;B. Merriman
摘要 卷积阈值是一种描述界面运动的新方法，它统一并推广了惠更斯原理、阈值生长元胞自动机和反应扩散方程。卷积方法具有许多理想的特性，包括自动捕获拓扑变化、无需显式计算曲率即可产生曲率运动、对三点连接点运动的自然扩展以及快速、准确的实现。在本文中，我们总结了卷积阈值方案与先前方法的关系，并回顾了该方法的理论和算法发展。我们还回顾了计算机视觉、发育生物学、兴奋媒体和材料科学的最新应用。
Abstract Convolution–thresholding is a new approach to describing interface motion that unifies and generalizes Huygens' principle, threshold growth cellular automata, and reaction–diffusion equations. Convolution methods have many desirable properties, including automatic capture of topological change, production of curvature motion without explicit computation of curvature, natural extension to the motion of triple-point junctions, and fast, accurate implementation. In this paper, we summarize the relation of convolution–thresholding schemes to previous methods, and we review the theoretical and algorithmic development of this approach. We also review recent applications to computer vision, developmental biology, excitable media, and material science.