作者:段培超
学位名称:硕士
出处:北京理工大学 2004
关键词:小波;小波包;数学形态学;边缘检测
摘要:本文总结了目前国内外已有的各种主要的图像边缘检测方法,评述了它们各自的优劣。分别对小波、小波包和数学形态学各自的发展历史及其基本理论作了深入、细致的讨论,并对国内外应用这两种方法进行边缘检测的基本原理、实现算法进行了介绍和评价。本文考虑到小波变换和数学形态In this paper, we try ...
作者:梁洁
出处:北京理工大学 2005
摘要:本文在回顾了经典的图像去噪方法之后,系统地介绍了近年来活跃于图像去噪领域的偏微分方程(PDE)模型以及变分模型,分析了两者之间的联系,指出变分模型虽然从另一个出发点实现图像去噪,但实质仍然是偏微分方程模型。之后本文简述了小波的由来,小波分析的基本概念和基本理论,介绍了小波分析在图像去噪中的应用。 最 ...
作者:Jin-Jin Mao;Shou-Fu Tian;Tian-Zhou Xu;Lin-Fei Shi (1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China;2School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China)
出处:Communications in Theoretical Physics 2022
关键词:RIEMANN-HILBERT PROBLEMS;MULTIPLE-POLE SOLUTIONS;LONG-TIME ASYMPTOTICS;N-SOLITON SOLUTIONS
摘要:The present work studies the inverse scattering transforms (IST) of the inhomogeneous fifth-order nonlinear Schrödinger (NLS) equation with zero bound ...
作者:Azam, Muhammad1, 2;Xu, Tianzhou3;Nayak, M.K.4;Khan, Waqar Azeem5;Khan, M.6; (1School of Mathematics and Statistics, Yulin University, Yulin, China;2Mathematics and Interdisciplinary Research Center of Yulin City, Yulin, China;3School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China;4Department of Mechanical Engineering, ITER, Siksha O Anusandhan University, Bhubaneswar, India;5Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;6Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
出处:Waves in Random and Complex Media 2022
关键词:CHEMICAL-REACTION;HEAT-TRANSFER;FLOW;NANOFLUID;BIOCONVECTION;NANOPARTICLES;SURFACE
摘要:Role of activation energy, nanoparticles and gyrotactic microorganisms with bioconvection has a great significance in geothermal engineering, biotechn ...
作者:Shi, Linfei;Xu, Tianzhou (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China Linfei Shi, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China. Communicated by: C. Sun School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China)
出处:Mathematical Methods in the Applied Sciences 2024
关键词:accelerated spreading;free boundary;heterogeneous environment;nonlocal diffusion;spreading and vanishing;spreading speed
摘要:This paper studies two nonlocal diffusion problems with a free boundary and a fixed boundary in heterogeneous environment. The main goal is to underst ...