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Approximations for modulus of gradients and their applications to neighborhood filters 被引量:1
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作者 Yan CHEN Zhuangji WANG Kewei ZHANG 《Frontiers of Mathematics in China》 SCIE CSCD 2013年第4期761-782,共22页
We define an integral approximation for the modulus of the gradient | u(x)| for functions f: Ω C Rn → R by modifying a classical result due to Calderon and Zygmund. Our integral approximations are more stable ... We define an integral approximation for the modulus of the gradient | u(x)| for functions f: Ω C Rn → R by modifying a classical result due to Calderon and Zygmund. Our integral approximations are more stable than the pointwise defined derivatives when applied to numerical differentiation for discrete data. We apply our results to design and analyse neighborhood filters. These filters correspond to well-behaved nonlinear heat equations with the conductivity decreasing with respect to the modulus of gradient | u(x)|. We also show some numerical experiments and evaluate the effectiveness of our filters. 展开更多
关键词 BMO modulus of gradient harmonic analysis and PDE neighborhood filter image processing
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Interfacial Improvement of Carbon Fiber/Epoxy Composites by Incorporating Superior and Versatile Multiscale Gradient Modulus Intermediate Layer with Rigid-flexible Hierarchical Structure 被引量:3
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作者 Pei-Feng Feng Guo-Jun Song +6 位作者 Wen-Jian Zhang Hao Zheng Bo-Wen Li Shao-Feng Zhou Ya-Qing Liu Guang-Shun Wu Li-Chun Ma 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2021年第7期896-905,共10页
In order to enhance the interfacial adhesion of carbon fiber(CF)and polymer matrix,a multiscale gradient modulus intermediate layer with rigid-flexible(GO-PA)hierarchical structure was designed and fabricated between ... In order to enhance the interfacial adhesion of carbon fiber(CF)and polymer matrix,a multiscale gradient modulus intermediate layer with rigid-flexible(GO-PA)hierarchical structure was designed and fabricated between CFs and matrix by a facile and businesslike strategy.The polarity,roughness and wettability of CFs surface as well as the thickness of intermediate layer in composite have been significantly increased after rigid-flexible hierarchical structure was constructed.The IFSS,ILSS,compression and impact toughness manifested that the hierarchical structure could bring about a fantastic improvement(76.8%,46.4%,40.7%and 37.8%)for the interfacial and mechanical properties than other previous reports.Consequently,the establishment of CF surface with gradient modulus rigid-flexible hierarchical structure via regulation of nanoparticles and polymer array would open a new,viable and promising route to obtaining high-performance composites. 展开更多
关键词 Carbon fibers Polymer-matrix composites INTERFACE Hierarchical structure Gradient modulus
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