Nonlinear multiscale analysis of three-dimensional echocardiographic sequences

被引:35
作者
Sarti, A
Mikula, K
Sgallari, F [1 ]
机构
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] Univ Bologna, DEIS, Bologna, Italy
[3] Slovak Univ Technol Bratislava, Dept Math, Bratislava 81237, Slovakia
[4] Univ Bologna, Dept Math, Bologna, Italy
[5] Univ Bologna, CIRAM, Bologna, Italy
关键词
echocardiography; image multiscale analysis; nonlinear scale space; numerical solution; partial differential equations;
D O I
10.1109/42.781012
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We introduce a new; model for multiscale analysis of space-time echocardiographic sequences. The proposed nonlinear partial differential equation, representing the multiscale analysis, filters the sequence while keeping the space-time coherent structures, It combines the ideas of regularized Perona-Malik anisotropic diffusion and the Galilean invariant mol ie multiscale analysis of Alvarez, Guichard, Lions and Morel. A numerical method for solving the proposed partial differential equation is suggested and its stability is shown. Computational results on synthesized and real sequences are provided, A qualitative and quantitative evaluation of the accuracy of the method is presented.
引用
收藏
页码:453 / 466
页数:14
相关论文
共 35 条
[1]   AXIOMS AND FUNDAMENTAL EQUATIONS OF IMAGE-PROCESSING [J].
ALVAREZ, L ;
GUICHARD, F ;
LIONS, PL ;
MOREL, JM .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 123 (03) :199-257
[2]  
Alvarez Luis, 1994, ACTA NUMER, V3, P1
[3]  
Bansch E., 1997, Computing and Visualization in Science, V1, P53, DOI 10.1007/s007910050005
[4]   Evaluation of differential optical flow techniques on synthesized echo images [J].
Baraldi, P ;
Sarti, A ;
Lamberti, C ;
Prandini, A ;
Sgallari, F .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1996, 43 (03) :259-272
[5]  
BOMMER W, 1979, CIRCULATION, P60
[6]   What is the best causal scale space for three-dimensional images? [J].
Caselles, V ;
Sbert, C .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (04) :1199-1246
[7]   IMAGE SELECTIVE SMOOTHING AND EDGE-DETECTION BY NONLINEAR DIFFUSION [J].
CATTE, F ;
LIONS, PL ;
MOREL, JM ;
COLL, T .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (01) :182-193
[8]   USERS GUIDE TO VISCOSITY SOLUTIONS OF 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS [J].
CRANDALL, MG ;
ISHII, H ;
LIONS, PL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :1-67
[9]  
Golub G.H., 2013, MATRIX COMPUTATIONS
[10]  
GUICHARD F., 1994, THESIS U PARIS 9 DAU