Affine invariant segmentation by variational method

被引：13
作者：
Ballester, C
Caselles, V
Gonzalez, M
机构：
[1] Dept. Matemtiques i Informtica, Universitat de les Illes Balears
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1996年 / 56卷 / 01期
关键词：
image segmentation; affine invariance; variational method; region growing; multi-scale algorithm;
D O I：
10.1137/S003613999426702X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Affine invariance, viewed as a simplified projective invariance, is an essential requirement for analysis of natural scenes. We propose an affine invariant analogue of Mumford and Shah energy functional to segment images and we discuss it. We present a simple multiscale algorithm to minimize it: based on region growing methods, and we display our first numerical experiments.
引用
收藏
页码：294 / 325
页数：32
相关论文
共 26 条
  • [1] Ackah-Miezan A., 1993, [1993] Proceedings Fourth International Conference on Computer Vision, P200, DOI 10.1109/ICCV.1993.378219
  • [2] Alvarez L., 1993, ARCH RATION MECH AN, V123, P200
  • [3] [Anonymous], 1994, Variational Methods for Image Segmentation
  • [4] BALLESTER C, UNPUB AFFINE INVARIA
  • [5] Blake A., 1987, Visual Reconstruction
  • [6] SCENE ANALYSIS USING REGIONS
    BRICE, CR
    FENNEMA, CL
    [J]. ARTIFICIAL INTELLIGENCE, 1970, 1 (03) : 205 - 226
  • [7] COHIGNAC T, IN PRESS INT J COMPU
  • [8] A VARIATIONAL METHOD IN IMAGE SEGMENTATION - EXISTENCE AND APPROXIMATION RESULTS
    DALMASO, G
    MOREL, JM
    SOLIMINI, S
    [J]. ACTA MATHEMATICA, 1992, 168 (1-2) : 89 - 151
  • [9] Falconer K. J., 1985, The geometry of fractal sets
  • [10] STOCHASTIC RELAXATION, GIBBS DISTRIBUTIONS, AND THE BAYESIAN RESTORATION OF IMAGES
    GEMAN, S
    GEMAN, D
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1984, 6 (06) : 721 - 741
123