This paper presents a novel multiresolution image decomposition and reconstruction method based on wavelet transform. Acccording to this method image is decomposed and transmitted in a coarse-to-fine way. The receiver...This paper presents a novel multiresolution image decomposition and reconstruction method based on wavelet transform. Acccording to this method image is decomposed and transmitted in a coarse-to-fine way. The receiver could reconstruct finer and finer image during the course of image re-ceiving and obtain the original image finally. The experimental results show that this method could be applied to both intensity images and color images. Its computation complexity is low and it could solve the limited bandwidth problem. This method could also compress image data thanks to the advantages of wavelet transform.展开更多
In this paper, we introduce the notion of generalized multiresolution structure (GMS) in the set-ting of reducing subspaces of L2(Rd). For a general expansive matrix, we obtain a necessary and sufficient condition for...In this paper, we introduce the notion of generalized multiresolution structure (GMS) in the set-ting of reducing subspaces of L2(Rd). For a general expansive matrix, we obtain a necessary and sufficient condition for GMS, and prove the existence of GMS in a reducing subspace. Using GMS, we obtain a pyramid decomposition and a frame-like expansion for signals in reducing subspaces.展开更多
A method of fairing B spline surfaces by wavelet decomposition is investigated. The wavelet decomposition and reconstruction of quasi uniform bicubic B spline surfaces are described in detail. A method is introduce...A method of fairing B spline surfaces by wavelet decomposition is investigated. The wavelet decomposition and reconstruction of quasi uniform bicubic B spline surfaces are described in detail. A method is introduced to approximate a B spline surface by a quasi uniform one. An error control approach for wavelet based fairing is suggested. Samples are given to show the feasibility of the algorithms presented in this paper. The practice showed that the wavelet based fairing is better than energy based one in case where the number of vertices of the B spline surface is greater than 1000. The quantitative variance of the approximation error in accordance with the change of decomposition levels needs to be further explored.展开更多
文摘This paper presents a novel multiresolution image decomposition and reconstruction method based on wavelet transform. Acccording to this method image is decomposed and transmitted in a coarse-to-fine way. The receiver could reconstruct finer and finer image during the course of image re-ceiving and obtain the original image finally. The experimental results show that this method could be applied to both intensity images and color images. Its computation complexity is low and it could solve the limited bandwidth problem. This method could also compress image data thanks to the advantages of wavelet transform.
基金supported by Beijing Natural Science Foundation (Grant No. 1122008)the Scientific Research Common Program of Beijing Municipal Commission of Education (Grant No.KM201110005030)
文摘In this paper, we introduce the notion of generalized multiresolution structure (GMS) in the set-ting of reducing subspaces of L2(Rd). For a general expansive matrix, we obtain a necessary and sufficient condition for GMS, and prove the existence of GMS in a reducing subspace. Using GMS, we obtain a pyramid decomposition and a frame-like expansion for signals in reducing subspaces.
文摘A method of fairing B spline surfaces by wavelet decomposition is investigated. The wavelet decomposition and reconstruction of quasi uniform bicubic B spline surfaces are described in detail. A method is introduced to approximate a B spline surface by a quasi uniform one. An error control approach for wavelet based fairing is suggested. Samples are given to show the feasibility of the algorithms presented in this paper. The practice showed that the wavelet based fairing is better than energy based one in case where the number of vertices of the B spline surface is greater than 1000. The quantitative variance of the approximation error in accordance with the change of decomposition levels needs to be further explored.
