With the wide use of color in many areas, the interest on the color perception and processing has been growing rapidly. An important topic in color image processing is the development of efficient tools capable of fil...With the wide use of color in many areas, the interest on the color perception and processing has been growing rapidly. An important topic in color image processing is the development of efficient tools capable of filtering images without blurring them and without changing their original chromatic contents. In this paper, a new technique reducing noise of color image is developed. A class of color-scale morphological operations is introduced, which extend mathematical morphology to color image processing, representing a color image as a vector function. The correlation between color components is utilized to perform noise removal. Color-scale morphological niters with multiple structuring elements (CSMF-MSEs) are proposed. Their properties are discussed and proved. Experimental results show that CSMF-MSEs are suitable and powerful to eliminate noise and preserve edges in color image because of efficient utilization of inherent correlation between color components, and they perform better than vector展开更多
In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, i...In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, it is proved that these operators areactually not bounded in certain extreme cases.展开更多
基金Supported by the Natural Science Foundation of China,No.69775004
文摘With the wide use of color in many areas, the interest on the color perception and processing has been growing rapidly. An important topic in color image processing is the development of efficient tools capable of filtering images without blurring them and without changing their original chromatic contents. In this paper, a new technique reducing noise of color image is developed. A class of color-scale morphological operations is introduced, which extend mathematical morphology to color image processing, representing a color image as a vector function. The correlation between color components is utilized to perform noise removal. Color-scale morphological niters with multiple structuring elements (CSMF-MSEs) are proposed. Their properties are discussed and proved. Experimental results show that CSMF-MSEs are suitable and powerful to eliminate noise and preserve edges in color image because of efficient utilization of inherent correlation between color components, and they perform better than vector
基金This project is supported by the RFDP(No.20020027004)NNSF(No.10271015)of China
文摘In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, it is proved that these operators areactually not bounded in certain extreme cases.
