A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Filters
The Effect of Edge Stopping in Perona Malik Anisotropic Diffusion Model as Image Denoising on Digital Radiographic Image
2020
ASM Science Journal
Preserved Fulltext
Image denoising is process of reducing image noise in order to improve the visual quality of the image. ...
The results show that different edge stopping function give different effect on the image quality after the denoising process. ...
produced finite
difference scheme on PDE order two of diffusion equation
and evaluate the performance proposed scheme on real
data of digital radiographic image. ...
doi:10.32802/asmscj.2020.sm26(4.24)
fatcat:utrgn5gu3zch7mcpuwvbjv765u
Feature Keypoint-Based Image Compression Technique Using a Well-Posed Nonlinear Fourth-Order PDE-Based Model
2020
Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
It is then solved numerically by applying a consistent finite difference method-based numerical approximation algorithm that is next successfully applied in the image compression and decompression experiments ...
A digital image compression framework based on nonlinear partial differential equations (PDEs) is proposed in this research article. ...
Conflicts of Interest: The author declares no conflict of interest. ...
doi:10.3390/math8060930
fatcat:7hp6mttbsbck7ndqri5jfb7z54
New PDE-based methods for image enhancement using SOM and Bayesian inference in various discretization schemes
2009
Measurement science and technology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
A novel approach is presented in this paper for improving anisotropic diffusion PDE models, based on the Perona-Malik equation. ...
The goal of such a new adaptive diffusion scheme is to better preserve edges when the anisotropic diffusion PDE models are applied to image enhancement tasks. ...
PDE models when applied to image processing tasks in order to achieve good results. ...
doi:10.1088/0957-0233/20/10/104012
fatcat:wylbbdb2ybd57c6pnaihc3b4r4
Lattice Boltzmann based PDE solver on the GPU
2007
The Visual Computer
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2011; you can also visit the original URL.
The file type is application/pdf.
In this paper, we propose a hardware-accelerated PDE (partial differential equation) solver based on the lattice Boltzmann model (LBM). ...
It has the great potential to be used as a general GPU computing framework for efficiently solving PDEs in image processing, computer graphics and visualization. ...
Acknowledgement The bunny and the dragon model are courtesy of the Computer Graphics Laboratory, Stanford University. The volume foot is courtesy of the National Library of Medicine. ...
doi:10.1007/s00371-007-0191-y
fatcat:n2y7qijlyfb6xo7ld6zja4za5y
Discretization of Laplacian Operator in Polar Coordinates System on 9-Point Stencil with Mixed PDE's Derivative Approximation Using Finite Difference Method
2021
Journal of Mathematical Sciences & Computational Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
In this research paper,we have discretized the nine point stencils inclduding four neighbourer point of symmetric and asymmetric lines from the centre of proposed molecule for the laplacian operator by ...
implementing polar gird system.It is the modifiied five point scheme.For the discretization of laplacian operator and concerning the explicit PDES and mixed derivative the finite onward time central space ...
It followed BVC problems with nonlinear examples which is widely applied in mesh system of finite difference method [7] and also applied on linear 2nd order Partial differential equation. ...
doi:10.15864/jmscm.2305
fatcat:mz7akqjnxngoxn4o5pf7m3mayq
Noise Removal Using Smoothed Normals and Surface Fitting
2004
IEEE Transactions on Image Processing
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Example 3: Here, we try our new method on an image composed of four different Brodatz textures as given in Fig. 6(a) . ...
Finite difference schemes are used to solve these equations. A broad range of numerical examples are given in the paper. ...
Hamilton-Jacobi equations, and total variation and other PDE-based image processing techniques. ...
doi:10.1109/tip.2004.834662
pmid:15462144
fatcat:icvhlyuuo5gu5k7czc24kfdww4
High-order fractional partial differential equation transform for molecular surface construction
2013
Molecular Based Mathematical Biology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
The impact of high-order fractional derivatives to surface analysis is examined. We also construct fractional PDE transform based on arbitrarily high-order fractional PDEs. ...
The proposed high-order fractional PDEs are applied to the surface generation of proteins. We first validate the proposed method with a variety of test examples in two and three-dimensional settings. ...
This work was supported in part by NSF grants CCF-0936830 and DMS-1160352, and NIH grant R01GM-090208. ...
doi:10.2478/mlbmb-2012-0001,
pmid:24364020
pmcid:PMC3869418
fatcat:w5issbhggvcwrgu5wn7bcay2se
Harmonic Decomposition in PDE-Based Denoising Technique for Magnetic Resonance Electrical Impedance Tomography
2005
IEEE Transactions on Biomedical Engineering
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
In order to apply MREIT to human subjects, one of the important remaining problems to be solved is to reduce the amount of the injection current such that it meets the electrical safety regulations. ...
Index Terms-Conductivity image, harmonic decomposition, MREIT, PDE-based denoising. ...
, image processing, electrical impedance tomography, and partial differential equations. ...
doi:10.1109/tbme.2005.856258
pmid:16285395
fatcat:7otc3nxt5bhqlp32n4lumoaoya
Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
2003
IEEE Transactions on Image Processing
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is application/pdf.
In this paper, we introduce a new method for image smoothing based on a fourth-order PDE model. ...
The method is tested on a broad range of real medical magnetic resonance images, both in space and time, as well as on nonmedical synthesized test images. ...
Schad at the German Cancer Research Center (DKFZ), Heidelberg, Germany, for providing the MR images depicted in Figs. 8 and 11 with support from the European COSTB11 action. Thanks to J. ...
doi:10.1109/tip.2003.819229
pmid:18244712
fatcat:57fszf3ptjbrfgkrumdvt5ytly
An adaptive graph for volumetric mesh visualization
2010
Procedia Computer Science
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
To evaluate the performance, the strategy is applied on a Heat Conduction simulation problem using finite difference discretizations and the experimental results are discussed. ...
This work presents an adaptive strategy in order to visualize volumetric data generated from numerical simulations of partial differential equations. ...
Related to level of details in order to numerically solve differential equations (PDEs), [5] proposed a strategy to solve bidimensional PDEs based on the construction of a locally refined mesh with low ...
doi:10.1016/j.procs.2010.04.196
fatcat:kflv3ncpkjhfxknsoqmu65jska
PDE-based Morphology for Matrix Fields: Numerical Solution Schemes
[chapter]
2009
Advances in Pattern Recognition
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
This has been achieved by a matrixvalued extension of the nonlinear morphological partial differential equations (PDEs) for dilation and erosion known for grey scale images. ...
Furthermore we compare the performance and juxtapose the results of these novel matrix-valued high-resolution-type (HRT) numerical schemes by considering top hats and morphological derivatives applied ...
We compare the results of basic morphological operations on images for ordering-based morphology and PDE-based methods obtained with the numerical schemes OS-I, OS-II and FCT. ...
doi:10.1007/978-1-84882-299-3_6
fatcat:uuel6snnx5gofdojqkcfxjnnfq
Equalized Net Diffusion (END) for the Preservation of Fine Structures in PDE-based Image Restoration
2013
The Journal of Korean Institute of Communications and Information Sciences
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Based on the analysis, the so-called equalized net diffusion (END) modeling is suggested in order for PDE-based restoration models to significantly reduce nonphysical dissipation. ...
The article is concerned with a mathematical modeling which can improve performances of PDE-based restoration models. ...
∇ and ∇ denotes a numerical approximation of gradient magnitude ∇ such as the (standard) second-order central scheme. ...
doi:10.7840/kics.2013.38a.12.998
fatcat:vixtjnzj5ffm5idyfpikjzojt4
THE METHOD OF NONFLAT TIME EVOLUTION (MONTE) IN PDE-BASED IMAGE RESTORATION
2012
The Journal of Korean Institute of Communications and Information Sciences
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
In order to overcome the drawback, the article introduces a new time-stepping procedure, called the method of nonflat time evolution (MONTE), in which the timestep size is determined based on local image ...
Numerical realizations of most PDE-based denoising models show a common drawback: loss of fine structures. ...
For the ITV-based models (ITV and M-ITV), the parameter is set a constant in depending on the image under being processed. ...
doi:10.7840/kics.2012.37a.11.961
fatcat:tceuxumtw5fajexankr3u65gsq
Intra prediction with enhanced inpainting method and vector predictor for HEVC
2012
2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
In this paper, we propose an intra prediction method based on inpainting algorithms and vector predictor for HEVC. ...
Our method utilizes a combination of two important inpainting algorithms: Laplace partial differential equation (PDE) and total variation (TV) model. ...
In Section IV, a concrete description of the intra prediction based on our vector predictor scheme is proposed. Simulation results and further analysis are given in Section V. ...
doi:10.1109/icassp.2012.6288107
dblp:conf/icassp/QiZYMY12
fatcat:7ponit2vxzcklpczlqjb6j5rqi
Cell-average based neural network method for hyperbolic and parabolic partial differential equations
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Motivated by finite volume scheme, a cell-average based neural network method is proposed. The method is based on the integral or weak formulation of partial differential equations. ...
For Heat equation, first order of convergence is observed and the errors are related to the spatial mesh size but are observed independent of the mesh size in time. ...
Once one cell-average based neural network is well trained and available, it can be applied to solve same PDE associated with different initials and over different domains. Remark 3. ...
arXiv:2107.00813v1
fatcat:nbdwdupq7jhzlml7m74o3hn4lu
« Previous
Showing results 1 — 15 out of 6,936 results