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The Effect of Edge Stopping in Perona Malik Anisotropic Diffusion Model as Image Denoising on Digital Radiographic Image

2020 ASM Science Journal  
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

Tudor Barbu
2020 Mathematics  
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

D A Karras, G B Mertzios
2009 Measurement science and technology  
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

Ye Zhao
2007 The Visual Computer  
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  
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

M. Lysaker, S. Osher, X.-C. Tai
2004 IEEE Transactions on Image Processing  
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

Langhua Hu, Duan Chen, Guo-Wei Wei
2013 Molecular Based Mathematical Biology  
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

B.I. Lee, S.-H. Lee, T.-S. Kim, O. Kwon, E.J. Woo, J.K. Seo
2005 IEEE Transactions on Biomedical Engineering  
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

M. Lysaker, A. Lundervold, Xue-Cheng Tai
2003 IEEE Transactions on Image Processing  
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

Diogo T. Robaina, Mauricio Kischinhevsky, Sanderson L. Gonzaga de Oliveira, Diego N. Brandão, Esteban Clua, Anselmo Montenegro
2010 Procedia Computer Science  
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]

Bernhard Burgeth, Michael Breuß, Stephan Didas, Joachim Weickert
2009 Advances in Pattern Recognition  
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

Youngjoon Cha, Seongjai Kim
2013 The Journal of Korean Institute of Communications and Information Sciences  
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

Youngjoon Cha, Seongjai Kim
2012 The Journal of Korean Institute of Communications and Information Sciences  
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

Xingli Qi, Teng Zhang, Feng Ye, Aidong Men, Bo Yang
2012 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)  
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]

Changxin Qiu, Jue Yan
2021 arXiv   pre-print
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
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