FILTERING NOISE FROM IMAGES WITH WAVELET TRANSFORMS

被引:204
作者
WEAVER, JB [1 ]
XU, YS [1 ]
HEALY, DM [1 ]
CROMWELL, LD [1 ]
机构
[1] DARTMOUTH COLL,DEPT MATH,HANOVER,NH 03755
关键词
D O I
10.1002/mrm.1910210213
中图分类号
R8 [特种医学]; R445 [影像诊断学];
学科分类号
1002 ; 100207 ; 1009 ;
摘要
A new method of filtering MR images is presented that uses wavelet transforms instead of Fourier transforms. The new filtering method does not reduce the sharpness of edges. However, the new method does eliminate any small structures that are similar in size to the noise eliminated. There are many possible extensions of the filter. © 1991 Academic Press, Inc. Copyright © 1991 Wiley‐Liss, Inc., A Wiley Company
引用
收藏
页码:288 / 295
页数:8
相关论文
共 11 条
[1]   A BLOCK SPIN CONSTRUCTION OF ONDELETTES .1. LEMARIE FUNCTIONS [J].
BATTLE, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 110 (04) :601-615
[2]   THE LAPLACIAN PYRAMID AS A COMPACT IMAGE CODE [J].
BURT, PJ ;
ADELSON, EH .
IEEE TRANSACTIONS ON COMMUNICATIONS, 1983, 31 (04) :532-540
[3]   THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005
[4]   ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
DAUBECHIES, I .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) :909-996
[5]  
Kronland-Martinet R., 1987, INT J PATTERN RECOGN, V1, P97, DOI 10.1142/S0218001487000205
[6]  
LEMARIE PG, 1986, REV MATER IBERO AM, V2
[7]   A THEORY FOR MULTIRESOLUTION SIGNAL DECOMPOSITION - THE WAVELET REPRESENTATION [J].
MALLAT, SG .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1989, 11 (07) :674-693
[9]  
MALLAT SG, 483 COUR I MATH SCI
[10]  
ROZENFELD A, 1971, IEEE T COMPUT, V20, P562