What is the best causal scale space for three-dimensional images?

被引：13

作者：

Caselles, V

Sbert, C

机构：

[1] Dept. de Matemàtiques i Info., Universitat de les Illes Balears, 07071 Palma de Mallorca

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1996年 / 56卷 / 04期

关键词：

image analysis; scale space; geometric equations; viscosity solutions; Gaussian curvature;

D O I：

10.1137/S0036139994269352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the unique affine invariant morphological scale space in three dimensions. We discuss its properties and show that it improves the dynamic shape model. We explain the algorithms and display the first numerical experiments.

引用

页码：1199 / 1246

页数：48

共 71 条

[1] IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION .2. [J].

ALVAREZ, L ;

LIONS, PL ;

MOREL, JM .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (03) :845-866

[2]

Alvarez L., 1993, ARCH RATION MECH AN, V123, P200

[3] PARABOLIC EQUATIONS FOR CURVES ON SURFACES .2. INTERSECTIONS, BLOW-UP AND GENERALIZED SOLUTIONS [J].

ANGENENT, S .

ANNALS OF MATHEMATICS, 1991, 133 (01) :171-215

[4] LOCAL EXISTENCE AND REGULARITY FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS [J].

ANGENENT, S .

MATHEMATISCHE ANNALEN, 1988, 280 (03) :465-482

[5] THE ZERO-SET OF A SOLUTION OF A PARABOLIC EQUATION [J].

ANGENENT, S .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1988, 390 :79-96

[6]

ANGENENT S, 1994, RES APPL MATH, P1

[7]

ANGENENT S, 1992, SHRINKING DOUGHNUTS

[8] NONLINEAR ANALYTIC SEMIFLOWS [J].

ANGENENT, SB .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 115 :91-107

[9] UNIQUENESS OF THE GAUSSIAN KERNEL FOR SCALE-SPACE FILTERING [J].

BABAUD, J ;

WITKIN, AP ;

BAUDIN, M ;

DUDA, RO .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1986, 8 (01) :26-33

[10] DEGENERATE DIFFUSION AND THE STEFAN PROBLEM [J].

BERTSCH, M ;

DEMOTTONI, P ;

PELETIER, LA .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (11) :1311-1336

← 1 2 3 4 5 6 7 8 →