A new finite element method （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D F...A new finite element method （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D FEM of 7 nodes and 10 nodes are constructed based on the basic formula. Using these proposed elements, the multiscale numerical model for foundation subjected to harmonic periodic load, the foundation model excited by external and internal dynamic load are studied. The results show the pro- posed finite elements have higher precision than the tradi- tional elements with 4 nodes. The proposed finite elements can describe the propagation of stress waves well whenever the foundation model excited by extemal or intemal dynamic load. The proposed finite elements can be also used to con- nect the multi-scale elements. And the proposed finite elements also have high precision to make multi-scale analysis for structure.展开更多
This paper studies the mathematical mechanism of the generalized interpolating filters and gives the corresponding parametric representations. On the basis of the parametric representations, a novel criterion and algo...This paper studies the mathematical mechanism of the generalized interpolating filters and gives the corresponding parametric representations. On the basis of the parametric representations, a novel criterion and algorithm are proposed to design interval interpolating wavelets with robust boundary filters. Furthermore, some examples are designed and their performances in data compression are investigated. Both the theoretical analysis and the experimental results show that such an interval interpolating wavelet can effectively suppress the boundary effect.展开更多
牛肉大理石花纹的丰富程度代表着脂肪含量的多少,是牛肉等级划分的重要指标。基于计算机图像的自动分级技术中图像的降噪和分割处理是大理石花纹提取的基础。该文利用多尺度区间插值小波解偏微分方程的方法对牛眼肌切面图像进行处理,基...牛肉大理石花纹的丰富程度代表着脂肪含量的多少,是牛肉等级划分的重要指标。基于计算机图像的自动分级技术中图像的降噪和分割处理是大理石花纹提取的基础。该文利用多尺度区间插值小波解偏微分方程的方法对牛眼肌切面图像进行处理,基于中心相似变换的延拓方法有效解决边界效应。处理中自适应选取配置点,提高计算效率。试验证明,该算法不仅达到降噪目的,同时还实现了对不同对象区域的保边平滑,使图像纹理和边缘更加清晰。降噪结果与传统滤波法进行对比,峰值信噪比值平均比均值滤波高9.0 d B,比中值滤波高8.2 d B,比维纳滤波高6.6 d B,结构相似性数值平均比均值滤波高0.42,比中值滤波高0.40,比维纳滤波高0.34。与大津法相比,去噪后采用灰度进行图像分割的效果更好,既能分割出大脂肪,又能分割出小脂肪,提高了牛肉等级判定的准确度。展开更多
基金supported by the National Natural Science Foundation of China (51109029,51178081,51138001,and 51009020)the State Key Development Program for Basic Research of China (2013CB035905)
文摘A new finite element method （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D FEM of 7 nodes and 10 nodes are constructed based on the basic formula. Using these proposed elements, the multiscale numerical model for foundation subjected to harmonic periodic load, the foundation model excited by external and internal dynamic load are studied. The results show the pro- posed finite elements have higher precision than the tradi- tional elements with 4 nodes. The proposed finite elements can describe the propagation of stress waves well whenever the foundation model excited by extemal or intemal dynamic load. The proposed finite elements can be also used to con- nect the multi-scale elements. And the proposed finite elements also have high precision to make multi-scale analysis for structure.
文摘This paper studies the mathematical mechanism of the generalized interpolating filters and gives the corresponding parametric representations. On the basis of the parametric representations, a novel criterion and algorithm are proposed to design interval interpolating wavelets with robust boundary filters. Furthermore, some examples are designed and their performances in data compression are investigated. Both the theoretical analysis and the experimental results show that such an interval interpolating wavelet can effectively suppress the boundary effect.
文摘牛肉大理石花纹的丰富程度代表着脂肪含量的多少,是牛肉等级划分的重要指标。基于计算机图像的自动分级技术中图像的降噪和分割处理是大理石花纹提取的基础。该文利用多尺度区间插值小波解偏微分方程的方法对牛眼肌切面图像进行处理,基于中心相似变换的延拓方法有效解决边界效应。处理中自适应选取配置点,提高计算效率。试验证明,该算法不仅达到降噪目的,同时还实现了对不同对象区域的保边平滑,使图像纹理和边缘更加清晰。降噪结果与传统滤波法进行对比,峰值信噪比值平均比均值滤波高9.0 d B,比中值滤波高8.2 d B,比维纳滤波高6.6 d B,结构相似性数值平均比均值滤波高0.42,比中值滤波高0.40,比维纳滤波高0.34。与大津法相比,去噪后采用灰度进行图像分割的效果更好,既能分割出大脂肪,又能分割出小脂肪,提高了牛肉等级判定的准确度。
