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Difference Curvature Driven Anisotropic Diffusion for Image Denoising Using Laplacian Kernel

Yi Yan Wang, Zhuo Er Wang
2013 Applied Mechanics and Materials  
The original anisotropic diffusion denoising methods based on partial differential equation often suffer the staircase effect and the loss of edge details when the image contains a high level of noise.  ...  Because its controlling function is based on gradient, which is sensitive to noise. To alleviate this drawback, a novel anisotropic diffusion algorithm is proposed.  ...  In Section II, at first, a simple introduction of the anisotropic diffusion is given, then we propose a difference curvature driven anisotropic diffusion scheme based on Laplacian Kernel.  ... 
doi:10.4028/ fatcat:qj6qxh7nbfejrlpui2gqgmbv24

Review on: Image De-noising using Bilateral Filter with Multilinear Discriminant Analysis and SVM

Rohit Jaspal, Amandeep Ummat
2015 International Journal of Computer Applications  
It also preserves the fine structures of the image. It also reduces the bias due to Rician noise. Thus we can preserve the quality of image.  ...  Here, an iterative bilateral filter is proposed for filtering the Rician noise in the magnitude magnetic resonance images. It improves the denoising efficiency.  ...  Recently, Krissian and Aja-Fernández proposed a noise-driven anisotropic diffusion filter for denoising MR images.ML-based methods were proposed in to denoise magnitude MR images.  ... 
doi:10.5120/21030-2887 fatcat:kz22udymwnf5zjeawxwdqaqrwa

Speckle Noise Reduction of Medical Ultrasound Images using Bayesshrink Wavelet Threshold

K. Karthikeyan, C. Chandrasekar
2011 International Journal of Computer Applications  
The proposed filter is compared with traditional filters and existing filters using anisotropic diffusion.  ...  This technique uses a hybrid model that combines fourth order PDE based anisotropic diffusion, linked with SRAD filter and wavelet based BayesShrink technique.  ...  This work improved the filter developed by [18] , which used anisotropic diffusion and Median filter to reduce noise.  ... 
doi:10.5120/2614-3646 fatcat:2s37klyaufdkbisp7nth32ygcy

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  
The proposed adaptive anisotropic diffusion model illustrates these concepts when it is numerically approximated by various discretization schemes in a database of magnetic resonance images (MRI), where  ...  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.  ...  The proposed adaptive anisotropic diffusion model illustrates these concepts in a set of MRI images, although it is a first step in the improvement of anisotropic diffusion PDE models of Perona-Malik type  ... 
doi:10.1088/0957-0233/20/10/104012 fatcat:wylbbdb2ybd57c6pnaihc3b4r4

Edge-Aware Volume Smoothing UsingL0Gradient Minimization

Qichao Wang, Yubo Tao, Hai Lin
2015 Computer graphics forum (Print)  
We compare our method with the bilateral filter and anisotropic diffusion, and demonstrate the effectiveness and efficiency of our method with several volumes in different modalities.  ...  In volume visualization, noise in regions of homogeneous material and at boundaries between different materials poses a great challenge in extracting, analyzing and rendering features of interest.  ...  Krissian and Aja-Fernández [KAF09] introduced a noise-driven anisotropic diffusion that combines local linear minimum mean square error filters and partial differential equations to remove Rician noise  ... 
doi:10.1111/cgf.12625 fatcat:wcuhg6i7dne2jke54tvrjnz4xq

Multi-scale, multi-level, heterogeneous features extraction and classification of volumetric medical images

Shuai Li, Qinping Zhao, Shengfa Wang, Aimin Hao, Hong Qin
2013 2013 IEEE International Conference on Image Processing  
To tackle the challenge of complex volumetric inner structure and diverse feature forms, our technical solution hinges upon the integrated approach of locally-defined diffusion tensor (DT), DT-based anisotropic  ...  Various experiments and timing tests demonstrate the effectiveness, robustness, and high performance of our method.  ...  T e . (3) DT Space based Anisotropic Convolution Kernel We derive DACK from the diffusion tensor and bilateral filter kernel.  ... 
doi:10.1109/icip.2013.6738291 dblp:conf/icip/LiZWHQ13 fatcat:bn3xro33k5f3xjrlnbpcijuywy

Feature Preserving Image Smoothing Using a Continuous Mixture of Tensors

Ozlem Subakan, Bing Jian, Baba C. Vemuri, C. Eduardo Vallejos
2007 2007 IEEE 11th International Conference on Computer Vision  
Superior performance of our technique is depicted via comparison to the state-of-the-art anisotropic diffusion filter.  ...  We present experimental results on noisy data, real 2D images and 3D MRI data acquired from plant roots depicting bifurcating roots.  ...  image (of size 128×128 pixels) without noise (b) Noisy image with a gaussian noise of zero mean and 0.05 standard deviation (c) Edge enhancing anisotropic diffusion with local scale σ = 0.5, and 20 iterations  ... 
doi:10.1109/iccv.2007.4408918 pmid:20072714 pmcid:PMC2805026 dblp:conf/iccv/SubakanJVV07 fatcat:hpoqgnar5radvmvxcciamaz22e

Denoising of MRI images using fast NLM

Vandana Hanchate, Kalyani Joshi
2020 Indonesian Journal of Electrical Engineering and Computer Science  
NLM filter helps to make a differentiation between image data and noise data.  ...  This paper discusses the implementation of NLM filter using hardware platform Spartan 6.  ...  In literature part, surveys of post acquisition-based noise reduction methods are explained [4] . Karl Krissian et al. [5] depicted Noise-Driven Anisotropic Diffusion Filtering of MRI.  ... 
doi:10.11591/ijeecs.v18.i1.pp135-141 fatcat:zi3cgfejr5cffgzk44s6oqz7ve

PDEs for Tensor Image Processing [chapter]

Joachim Weickert, Christian Feddern, Martin Welk, Bernhard Burgeth, Thomas Brox
2006 Mathematics and Visualization  
We consider isotropic and anisotropic diffusion filters and their corresponding variational methods, mean curvature motion, and selfsnakes.  ...  These filters preserve positive semidefiniteness of any positive semidefinite initial tensor field. Finally we discuss geodesic active contours for segmenting tensor fields.  ...  Acknowledgements We are grateful to Anna Vilanova i Bartrolí (Eindhoven Institute of Technology) and Carola van Pul (Maxima Medical Center, Eindhoven) for providing us with the DT-MRI dataset and for discussing  ... 
doi:10.1007/3-540-31272-2_25 fatcat:z5bwkbtfafdv3nwhtvszzgfnwa

Feature-guided CNN for Denoising Images from Portable Ultrasound Devices

Guanfang Dong, Yingnan Ma, Anup Basu
2021 IEEE Access  
As a result, the edge estimation for anisotropic diffusion filtering is often inaccurate. Second, anisotropic diffusion filtering further smoothes the ultrasound image.  ...  Filter; (j) Anisotropic Diffusion Filter; (k) Bilateral Filter; and (l) Non-local Means Filter.  ... 
doi:10.1109/access.2021.3059003 fatcat:vv5l6fqk6rajrlgmgga4kvx72u

2020 Index IEEE Transactions on Computational Imaging Vol. 6

2020 IEEE Transactions on Computational Imaging  
., +, TCI 2020 625-639 Diffusion Four-Dimensional Anisotropic Diffusion Framework With PDEs for Light Field Regularization and Inverse Problems.  ...  ., +, TCI 2020 1179-1193 Deep-Learning-Based Optimization of the Under-Sampling Pattern in MRI. Automated FDK-Filter Selection for Cone-Beam CT in Research Environments.  ...  ., +, TCI 2020 125-137 Truncation Correction for X-ray Phase-Contrast Region-of-Interest Tomography. Felsner, L., +, TCI 2020 625-639  ... 
doi:10.1109/tci.2021.3054596 fatcat:puij7ztll5ai7alxrmqzsupcny

Visualizing functional pathways in the human brain using correlation tensors and magnetic resonance imaging

Zhaohua Ding, Ran Xu, Stephen K. Bailey, Tung-Lin Wu, Victoria L. Morgan, Laurie E. Cutting, Adam W. Anderson, John C. Gore
2016 Magnetic Resonance Imaging  
The results bear a remarkable similarity to data obtained by diffusion tensor imaging but without any diffusion-encoding gradients.  ...  In this report we validate our preliminary findings and introduce spatio-temporal functional correlation tensors to characterize the directional preferences of temporal correlations in MRI signals acquired  ...  The funding sources were not involved in study design, in the collection, analysis and interpretation of data, in the writing of the report, or in the decision to submit the article for publication.  ... 
doi:10.1016/j.mri.2015.10.003 pmid:26477562 pmcid:PMC4714593 fatcat:ohi4js2vtzhs7p2s7haw6g6ape

Effects of image reconstruction on fiber orientation mapping from multichannel diffusion MRI: Reducing the noise floor using SENSE

S. N. Sotiropoulos, S. Moeller, S. Jbabdi, J. Xu, J. L. Andersson, E. J. Auerbach, E. Yacoub, D. Feinberg, K. Setsompop, L. L. Wald, T. E. J. Behrens, K. Ugurbil (+1 others)
2013 Magnetic Resonance in Medicine  
This is particularly relevant for diffusion-weighted MRI, where the signal attenuation is of interest.  ...  Purpose-To examine the effects of the reconstruction algorithm of magnitude images from multi-channel diffusion MRI on fibre orientation estimation.  ...  This is particularly problematic for diffusion-weighted (DW) MRI, as any further elevation of the (inherently unavoidable) noise floor limits the ability to properly quantify the true signal attenuation  ... 
doi:10.1002/mrm.24623 pmid:23401137 pmcid:PMC3657588 fatcat:q64vfmjwj5hx7lvo43udpqhc4q

Image filtering via generalized scale

Andre Souza, Jayaram K. Udupa, Anant Madabhushi
2008 Medical Image Analysis  
A major drawback of many filtering techniques is image degradation by diffusing/blurring edges and/or fine structures.  ...  The evaluations based on the Brainweb data sets show superior performance of generalized scale-based diffusive filtering over two existing methods, namely, ball scale-based and nonlinear complex diffusion  ...  image-statistics-driven filtering (Lee, 1980) , gradient inverse-weighted filtering (Wang et al., 1981; Wang, 1992) , gradient-controlled anisotropic diffusive filtering (Perona and Malik, 1990) ,  ... 
doi:10.1016/ pmid:17827051 pmcid:PMC2478642 fatcat:qyt65igthjbfxoo3y3nr7edbpi

A Comparative Study on Left and Right Endocardium Segmentation using Gradient Vector Field and Adaptive Diffusion Flow Algorithms

Yabrin Amin, Shoaib Amin Banday, A.H. Mir
2016 International Journal of Bio-Science and Bio-Technology  
In this paper segmentation of Endocardium is carried out on multistage MRI frames Using Adaptive Diffusion flow (ADF) model.  ...  This deformable model was tested on large scale number of Cardiac MRI images.  ...  However there are various noise removal methods like, linear filtering, adaptive filtering, median filtering, morphological filtering & anisotropic diffusion that can be used for preserving edges as well  ... 
doi:10.14257/ijbsbt.2016.8.1.10 fatcat:bmquhoulrzdtdaltct5tzwbjie
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