SOLUTION OF NONLINEAR DIFFUSION APPEARING IN IMAGE SMOOTHING AND EDGE-DETECTION

被引：59

作者：

KACUR, J

MIKULA, K

机构：

[1] SLOVAK UNIV TECHNOL BRATISLAVA, DEPT MATH, 81368 BRATISLAVA, SLOVAKIA

[2] COMENIUS UNIV BRATISLAVA, FAC MATH & PHYS, DEPT NUMER ANAL & OPTIMIZAT, BRATISLAVA 84215, SLOVAKIA

来源：

APPLIED NUMERICAL MATHEMATICS | 1995年 / 17卷 / 01期

关键词：

IMAGE SMOOTHING; EDGE DETECTION; NONLINEAR DIFFUSION EQUATIONS; LINEARIZATION; FULL DISCRETIZATION SCHEME;

D O I：

10.1016/0168-9274(95)00008-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical approximation of the nonlinear diffusion problem appearing in image processing is discussed. The mathematical model is proposed by Catte, Lions, Morel and Coil and represents an improvement of the original model of Perona and Malik. The scheme is linear, based on Rothe's approximation in time and on the finite element approach in space. The approximating solutions converge strongly in C(I, L(2))boolean AND L(2)(I, V) space to the variational solution.

引用

页码：47 / 59

页数：13

共 8 条

[1] IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION .2.
ALVAREZ, L
LIONS, PL
MOREL, JM
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (03) : 845 - 866
[2] Alvarez L., 1993, ARCH RATION MECH AN, V123, P200
[3] IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION
CATTE, F
LIONS, PL
MOREL, JM
COLL, T
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (01) : 182 - 193
[4] Gajewski H., 1974, NICHTLINEARE OPERATO
[5] Kufner A., 1977, FUNCTION SPACES
[6] Necas J., 1967, METHODES DIRECTES TH
[7] Nordstrom K. N., 1989, BIASED ANISOTROPIC D
[8] PERONA P, 1987, P IEEE COMPUTER SOC

← 1 →