A differential geometry approach for biomedical image processing

被引:9
作者
Demongeot, J [1 ]
Françoise, JF
Richard, M
Senegas, F
Baum, TP
机构
[1] Univ Grenoble 1, Fac Med, UMR CNRS 5525, Lab TIMC IMAG, F-38700 La Tronche, France
[2] Univ Paris 06, Lab Geometrie Differentielle Syst Differentiels I, F-75252 Paris 05, France
关键词
bio-arrays; segmentation; Gauss curvature; peak detection;
D O I
10.1016/S1631-0691(02)01459-2
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We show in this paper how simple considerations about bio-arrays images lead to a peak segmentation allowing the genes activity analysis. Bio-arrays images have a particular structure and the aim of the paper is to present a mathematical method allowing their automatic processing. The differential geometry approach used here can be also employed for other types of images presenting grey level peaks corresponding to a functional activity or to a chemical concentration. The mathematical method is based on elementary techniques of differential geometry and dynamical systems theory and provides a simple efficient algorithm when the peaks to segment are isolated. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:367 / 374
页数:8
相关论文
共 22 条
[21]   SURFACE CODING BASED ON MORSE-THEORY [J].
SHINAGAWA, Y ;
KUNII, TL ;
KERGOSIEN, YL .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1991, 11 (05) :66-78
[22]   WATERSHEDS IN DIGITAL SPACES - AN EFFICIENT ALGORITHM BASED ON IMMERSION SIMULATIONS [J].
VINCENT, L ;
SOILLE, P .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1991, 13 (06) :583-598