Description: 本文主要研究的是偏微分方程在数字图像处理方面的应用。文章首先详细阐
述了尺度空间的概念和性质，并以热传导方程所确定高斯尺度空间为例给出了连
续尺度空间与偏微分方程的联系。接着文章由简单的线性扩散方程开始，介绍了
非线性同质扩散和非线性异质扩散，不仅给出了相应的具体扩散方程模型，而且
对它们在图像处理中的不同效果作了比较。-This paper studies the partial differential equations in the digital image processing applications. The article first elaborates the concept of scale space and nature, and to determine the heat conduction equation by the Gaussian scale space is given as an example a continuous scale space with the associated partial differential equations. Then a simple article from the beginning of the linear diffusion equation, introduce a non-linear homogeneous proliferation and the proliferation of non-linear heterogeneous, not only the corresponding specific diffusion equation model, but also for them to deal with different image effects were comparison. Platform: |
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Description: a program which implements a finite difference solution, explicit in time, of the time dependent 1D heat equation Platform: |
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Author:jahan |
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Description: 采用有限控制体积法解一维热传导方程，程序简洁明了-Finite control volume method for solution of one-dimensional heat conduction equation, the program concise Platform: |
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Author:程燕青 |
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Description: 高等热传递,传热学问题中的有限元法解法,适用的边界问题为任意封闭区域.-this is a set of MATLAB routines to apply the finite element method to the heat equation in an arbitrary region, using about 50 lines of MATLAB code. Platform: |
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Author:tianjun |
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Description: 使 用 说 明
本光碟中包含五个文件夹。
（1）视频剪辑：可供教学演示，其中，"two_cells"是采用改进的变分水平集方法，实现GAC模型图像分割的演化过程；"denoissing"是利用P_M方程，对图像平滑去噪的演化过程 "curve_linear_heat_flow"是利用FT实现的闭合曲线的线性热流演化过程。
（2）二值图像：其中的图像可供形态学图像处理实验用，也可通过提取对象的边界，供曲线演化实验使用。
（3）灰度图象和彩色图像：其中的图像，可以作为图像分割，平滑滤波，反差增强，彩色增强以及图像放大等实验的素材。
（4) MATLAB程序：其中包含10余个MATLAB程序或（函数）的源代码。程序中所作的注释，与书中关于对应算法的描述是一致的。
本光碟中的所有内容，仅供教学和研究参考。-This cd-rom contains five folder.
(1) video clip: for teaching demonstration, among them, "two_cells" is modified variational level set method, realize the GAC model of image segmentation evolution process "Denoissing" is to use P_M equation, the noise of the image smooth evolution process "Curve_linear_heat_flow" is the use of the realization of the FT closed curve of the evolution process of the linear heat flux.
(2) binary images: one of the image for morphology image processing experiments with, but through the extraction of the object boundaries, the curve evolution for use.
(3) gray image and color images: one of the image, image segmentation, can be used as a smooth filtering, contrast enhancement, color and enhance image magnification of the material.
(4) MATLAB: including more than 10 MATLAB program or (function) of source code. The comments in the program, and the book about the description of the corresponding algorithm is consistent.
The entire content of the disc, o Platform: |
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Author:何最红 |
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Description: 本程序在matlab上编写，利用了有限差分方法求解一维热传导方程，代码简洁，适用性强。-This program is wrote in matlab, using finite difference method for solving one-dimensional heat conduction equation, the code is simple and applicable. Platform: |
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Author:刘斗世 |
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Description: In this document has been introduced how to solve different partial differential equations in Matlab programming language.Everbody can solve Heat Conduction Equation, Helmholtz Equation, Laplace Equation and Wave Equation for different initial and boundary conditions.
This document is elemantary of to understand how to solve partial differential equations with the aid of a porgramming language.
Platform: |
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Author:Maknan |
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Description: 介绍用matlab进行有限元计算的国外经典著作，前面重点介绍了有限元的相关内容，后面重点讲解了如何利用matlab的工具箱实现有限元的计算。-This book gives a background treatment of the Galerkin method in Chaps. 2–4.
Topics such as developing weak formulations as prelude to solving the finite
element equation, interpolation functions, derivation of elemental equations,
assembly and sample solutions were treated in these chapters. Chapter 5 gives an
overview on the use of the pdetoolbox. Chapter 6 and 7 give different sample
problems and their solutions on heat transfer and elasticity in Materials
Engineering. Platform: |
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Author:罗雨轩 |
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Description: 《图像处理的偏微分方程方法》随书光盘完整版
本光碟中包含五个文件夹。
（1）视频剪辑：可供教学演示，其中， two_cells 是采用改进的变分水平集方法，实现GAC模型图像分割的演化过程； denoissing 是利用P_M方程，对图像平滑去噪的演化过程 curve_linear_heat_flow 是利用FT实现的闭合曲线的线性热流演化过程。
（2）二值图像：其中的图像可供形态学图像处理实验用，也可通过提取对象的边界，供曲线演化实验使用。
（3）灰度图象和彩色图像：其中的图像，可以作为图像分割，平滑滤波，反差增强，彩色增强以及图像放大等实验的素材。
（4) MATLAB程序：其中包含10余个MATLAB程序或（函数）的源代码。程序中所作的注释，与书中关于对应算法的描述是一致的。
本光碟中的所有内容，仅供教学和研究参考。-" Image Processing Based on PDE" CD with the book contains the full version of the disc five folders. (1) Video clip: for teaching demonstration, which, " two_cells" is improved variational level set methods to achieve the evolution of GAC model image segmentation " denoissing" is the use of P_M equation, the evolution of image smoothing denoising process " curve_linear_heat_flow" is the use of a closed curve FT achieve a linear heat evolution. (2) binary image: one of the images for morphological image processing experiments, it can also be obtained by extracting the object boundary curve evolution for experimental use. (3) gray-scale images and color images: images which can be used as image segmentation, filtering, contrast enhancement, color enhancement and image amplification test material. (4) MATLAB Program: which includes more than 10 or MATLAB program (function) of the source code. Comments made in the program, and a description of the boo Platform: |
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Author:marshal |
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Description: 求解二维热传导方程，文档中有过程和matlab程序。
本文利用有限差分法来求二维热传导方程的数值解，通过Matlab编程求解并作图，进而与解析
解做出的图进行比较，画出误差图。(Solving the two-dimensional heat conduction equation, there are procedures and MATLAB programs in the document.
In this paper, the finite difference method is used to find the numerical solution of the two-dimensional heat conduction equation, and is solved and plotted by Matlab programming.
The diagram made by the solution is compared, and the error map is drawn.) Platform: |
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Author:尽责的老张 |
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Description: 分层的一维热传导方程的有限差分法MATLAB程序，是简单的显式差分格式，尽量使用了矩阵运算，没有符号运算。
文件chafen1.m以路面为例，假设有多层建筑材料，热传导系数已经在代码中给出。用户使用时请按自己需要修改chafen1.m文件，增减层数，修改热传导系数等即可。(One-dimensional heat conduction equation finite difference method MATLAB program, is a simple explicit difference format, as far as possible use of matrix operations, no symbolic operations
The file Chafen 1.m takes the road surface as an example, assuming that there are multiple layers of building materials, the thermal conductivity is given in the code. Users should modify the Chafen 1.m file according to their own needs, increase or decrease the number of layers, modify the thermal conductivity and so on.) Platform: |
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Author:野生的飞飞 |
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