Level set evolution for boundary extraction based on a p-Laplace equation

被引:33
|
作者
Zhou, Bin [1 ,2 ]
Mu, Chun-Lai [1 ]
机构
[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China
[2] Xian Univ Sci & Technol, Coll Sci, Xian 710054, Peoples R China
关键词
Boundary extraction; p-Laplace equation; Variational level set method; Sign distance function; Topology changes; Boundary indicator function; ACTIVE CONTOURS; SHAPE; MODEL;
D O I
10.1016/j.apm.2010.04.003
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a new approach to boundary extraction. We represent the object boundary by a level set model that is embedded in several scalar functions. The motion of the dynamic interface is governed by a p-Laplace equation. Such level set models are flexible in handling complex topological changes and are concise in extracting object boundaries despite of deep depression. Furthermore, a relatively smooth evolution can be maintained without re-initialization. The cost of this method is moderate. The accuracy and efficiency of the proposed algorithm are illustrated by several numerical examples. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:3910 / 3916
页数:7
相关论文
共 50 条
  • [1] Level set evolution model for image segmentation based on variable exponent p-Laplace equation
    Huang, Chencheng
    Zeng, Li
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (17-18) : 7739 - 7750
  • [2] BOUNDARY BEHAVIOR OF SOLUTIONS TO THE PARABOLIC p-LAPLACE EQUATION
    Avelin, Benny
    Kuusi, Tuomo
    Nystrom, Kaj
    ANALYSIS & PDE, 2019, 12 (01): : 1 - 42
  • [3] A pointwise estimate of the solution to the p-Laplace evolution equation
    Namlyeyeva, Yuliya V.
    Pankratov, Leonid S.
    Skrypnik, Igor I.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2400 - 2411
  • [4] On the solution of evolution p-Laplace equation with memory term and unknown boundary Dirichlet condition
    Khalfallaoui, R.
    Chaoui, A.
    Djaghout, M.
    JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2024, 10 (02) : 1063 - 1077
  • [5] MULTIPLE SOLUTIONS FOR THE p-LAPLACE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS
    Fernandez Bonder, Julian
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
  • [7] On the critical p-Laplace equation
    Catino, Giovanni
    Monticelli, Dario D.
    Roncoroni, Alberto
    ADVANCES IN MATHEMATICS, 2023, 433
  • [8] Superposition in the p-Laplace equation
    Brustad, Karl K.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 158 : 23 - 31
  • [9] On the stochastic p-Laplace equation
    Liu, Wei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (02) : 737 - 751
  • [10] Flat level set regularity of p-Laplace phase transitions -: Introduction
    Valdinoci, Enrico
    Sciunzi, Berardino
    Savin, Vasile Ovidiu
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 182 (858) : 1 - +