An Adaptation Method for Morphological Opening Filters with a Smoothness Penalty on Structuring Elements

被引:0
作者
Nakashizuka, Makoto [1 ]
Ashihara, Yu [2 ]
Iiguni, Youji [2 ]
机构
[1] Chiba Inst Technol, Fac Engn, Narashino, Chiba 2750016, Japan
[2] Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan
关键词
image recovery; mathematical morphology; regularization; denoising; ALGORITHMS; DESIGN;
D O I
10.1587/transfun.E96.A.1468
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper proposes an adaptation method for structuring elements of morphological filters. A structuring element of a morphological filter specifies a shape of local structures that is eliminated or preserved in the output. The adaptation of the structuring element is hence a crucial problem for image denoising using morphological filters. Existing adaptation methods for structuring elements require preliminary training using example images. We propose an adaptation method for structuring elements of morphological opening filters that does not require such training. In our approach, the opening filter is interpreted as an approximation method with the union of the structuring elements. In order to eliminate noise components, a penalty defined from an assumption of image smoothness is imposed on the structuring element. Image denoising is achieved through decreasing the objective function, which is the sum of an approximation error term and the penalty function. In experiments, we use the proposed method to demonstrate positive impulsive noise reduction from images.
引用
收藏
页码:1468 / 1477
页数:10
相关论文
共 15 条
[1]  
[Anonymous], 1983, Image Analysis and Mathematical Morphology
[2]  
[Anonymous], 2006, Deblurring images: matrices, spectra, and filtering
[3]  
Boyd S., 2004, CONVEX OPTIMIZATION, VFirst, DOI DOI 10.1017/CBO9780511804441
[4]  
Brodatz P., 1999, Textures: a photographic album for artists and designers
[5]   A detection statistic for random-valued impulse noise [J].
Dong, Yiqiu ;
Chan, Raymond H. ;
Xu, Shufang .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2007, 16 (04) :1112-1120
[6]   The use of genetic algorithms in morphological filter design [J].
Harvey, NR ;
Marshall, S .
SIGNAL PROCESSING-IMAGE COMMUNICATION, 1996, 8 (01) :55-71
[7]   MORPHOLOGICAL FILTERS .1. THEIR SET-THEORETIC ANALYSIS AND RELATIONS TO LINEAR SHIFT-INVARIANT FILTERS [J].
MARAGOS, P ;
SCHAFER, RW .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (08) :1153-1169
[8]  
Maragos P, 2005, HANDBOOK OF IMAGE AND VIDEO PROCESSING, 2ND EDITION, P135, DOI 10.1016/B978-012119792-6/50072-3
[9]  
Nakashizuka M., 2010, P IEEE INT C IM PROC
[10]  
Nakashizuka M., 2009, P AS PAC SIGN INF PR