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3D Anisotropic Diffusion Filtering for Enhancing Noisy Actin Filament Fluorescence Images [chapter]

Hanno Scharr, Dietmar Uttenweiler
2001 Lecture Notes in Computer Science  
The method is based on a novel accurate discretization of 3-D non linear anisotropic diffusion filtering, where the third dimension is the time t in the image sequence, using well adapted diffusivities  ...  We present a PDE-based method for increasing the S/N ratio in noisy fluorescence image sequences where particle motion has to be measured quantitatively.  ...  Therefore we have now developed a 3D anisotropic diffusion filter method as an extension of the common 2D anisotropic methods (see e.g.  ... 
doi:10.1007/3-540-45404-7_10 fatcat:ifldwyyzcrblbk3hwxkvle3u2m

Multiscale Anisotropic Harmonic Filters on non Euclidean domains [article]

Francesco Conti, Gaetano Scarano, Stefania Colonnese
2021 arXiv   pre-print
and 3D Point Clouds as well as graphs.  ...  This paper introduces Multiscale Anisotropic Harmonic Filters (MAHFs) aimed at extracting signal variations over non-Euclidean domains, namely 2D-Manifolds and their discrete representations, such as meshes  ...  MULTISCALE ANISOTROPIC HARMONIC FILTERS Herein, we introduce our novel Multiscale Anisotropic Harmonic Filters aiming to extract variation of signals defined over continuous and discrete manifolds.  ... 
arXiv:2102.00743v1 fatcat:x5qavj6hlbfd7gsj3ctguwyyta

Diffusion-Like Reconstruction Schemes from Linear Data Models [chapter]

Hanno Scharr
2006 Lecture Notes in Computer Science  
To this end, we first show that standard anisotropic diffusion with a diffusion tensor is directly linked to a data model describing single orientations.  ...  In this paper we extend anisotropic diffusion with a diffusion tensor to be applicable to data that is well modeled by linear models.  ...  The contributions of this paper are: a ) a novel derivation of standard anisotropic diffusion with a diffusion tensor from a cost function, b ) a theory for extension of this tensorbased diffusion to general  ... 
doi:10.1007/11861898_6 fatcat:4phggnlip5asbgfimj3w6vemkq

Image filtering using anisotropic structure tensor for cell membrane enhancement in 3D microscopy

Sorin Pop, Alexandre Dufour, Jean-Christophe Olivo-Marin
2011 2011 18th IEEE International Conference on Image Processing  
Image filtering methods are crucial in a large number of applications where the relevant information is either noisy or partially missing.  ...  Anisotropic PDE-based approaches offer an elegant solution to these problems, by integrating spatial and orientation information in a flexible and robust manner.  ...  anisotropic diffusion filtering.  ... 
doi:10.1109/icip.2011.6115880 dblp:conf/icip/PopDO11 fatcat:xynzybbsrvdyfjmz4xxqmybjaa

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 this paper, we present a novel volume denoising / smoothing method based on the L 0 gradient minimization framework.  ...  A 3D MRI Tomato data is used to compare three volume smoothing methods: the bilateral filter, edge aware anisotropic diffusion [HM10] , and the proposed L 0 volume gradient minimization method.  ... 
doi:10.1111/cgf.12625 fatcat:wcuhg6i7dne2jke54tvrjnz4xq

Ionoprinting controlled information storage of fluorescent hydrogel for hierarchical and multi-dimensional decryption

Xiao-Xia Le, Wei Lu, Jiang He, Michael J. Serpe, Jia-Wei Zhang, Tao Chen
2018 Science China Materials  
The diffusion of Fe 3+ ions into fluorescent hydrogel can quench the fluorescence of pyrene moieties, and chelate with carboxylic groups to generate anisotropic structures for shape deformation simultaneously  ...  Herein, we propose a novel method to store information via controllable ionoprinting onto fluorescent hydrogel for hierarchical and multi-dimensional decryption.  ...  (b) SEM image of anisotropic structure induced by Fe 3+ diffusion (125, 1 min).  ... 
doi:10.1007/s40843-018-9372-2 fatcat:2nzktrtllfacbe5fzoaqidv6ja

Assessment of visual quality and spatial accuracy of fast anisotropic diffusion and scan conversion algorithms for real-time three-dimensional spherical ultrasound

Qi Duan, Elsa D. Angelini, Andrew Laine, William F. Walker, Stanislav Y. Emelianov
2004 Medical Imaging 2004: Ultrasonic Imaging and Signal Processing  
In addition, a denoising scheme for spherical coordinate data with 3D anisotropic diffusion was implemented and applied prior to scan conversion to improve image quality.  ...  Denoising via threedimensional anisotropic diffusion was able to greatly improve the quality of the resampled data without affecting the accuracy of spatial information after the modification of the introduction  ...  These filters are all derived from anisotropic diffusion. Finally we cite Montagnat et al who applied a three-dimensional anisotropic diffusion filter for rotational cardiac 3D ultrasound data 19 .  ... 
doi:10.1117/12.535813 fatcat:fyy4fyo6qbdthc6z5regfqpxky

Denoising for 3-D Photon-Limited Imaging Data Using Nonseparable Filterbanks

A. Santamaria-Pang, T.S. Bildea, Shan Tan, I.A. Kakadiaris
2008 IEEE Transactions on Image Processing  
In this paper, we present a novel frame-based denoising algorithm for photon-limited 3-D images.  ...  We first construct a new 3-D nonseparable filterbank by adding elements to an existing frame in a structurally stable way.  ...  Results and Discussion We compare our algorithm to median filtering, nonlinear anisotropic diffusion filtering, and a threshold algorithm based on the 3D separable Haar system.  ... 
doi:10.1109/tip.2008.2003393 pmid:19004704 pmcid:PMC2741299 fatcat:7zsxb7luszaeblx4yfgh5olpue

Probabilistic-Driven Oriented Speckle Reducing Anisotropic Diffusion with Application to Cardiac Ultrasonic Images [chapter]

G. Vegas-Sanchez-Ferrero, S. Aja-Fernandez, M. Martin-Fernandez, A. F. Frangi, C. Palencia
2010 Lecture Notes in Computer Science  
A novel anisotropic diffusion filter is proposed in this work with application to cardiac ultrasonic images.  ...  This is considered as a second contribution since state-ofthe-art methods suppose that noise or statistical properties of the image do not change during the filter process.  ...  (b) Filtered 3D ultrasound of a liver. (c) Noisy 3D ultrasound of a Heart. (d) Filtered 3D ultrasound of a Heart.  ... 
doi:10.1007/978-3-642-15705-9_63 fatcat:jnw62bmi6ja2pbakzqw6zapcda

FILTERING AND RESTORATION OF STRUCTURES IN 3D ULTRASOUND IMAGES

Oscar Acosta, Hans Frimmel, Aaron Fenster, Sebastien Ourselin
2007 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
Finally, a novel method for reducing noise and enhancing the structures based on a modified 3D anisotropic diffusion is applied.  ...  We present a new method aimed at restoring structures in 3D US images.  ...  Finally, a modified 3D anisotropic filtering in which the parameters of diffusivity are adaptively computed, removes remaining noise while preserving main structures.  ... 
doi:10.1109/isbi.2007.356995 dblp:conf/isbi/AcostaFFO07 fatcat:b3j3xo3duvbj7i5tszsmfox2zi

Accurate optical flow in noisy image sequences

Hagen Spies, Hanno Scharr
2001 Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001  
Furthermore we extend a recently discovered discretization scheme for anisotropic diffusion to 3D data. An automatic stop criterion to terminate the diffusion after a suitable time is given.  ...  Towards this end we introduce a new tensor-driven anisotropic diffusion scheme which is designed to enhance optical-flow-like spatiotemporal structures.  ...  Filter structure in three dimensions Anisotropic diffusion filtering with a diffusion tensor evolves the initial image under an evolution equation: ∂g ∂t = ∇ · (D∇g) . (5) Here D is the diffusion tensor  ... 
doi:10.1109/iccv.2001.937571 fatcat:tpzthgm5xfhfrm6bwtf726rrdi

A 3D MRI denoising algorithm based on Bayesian theory

Fabio Baselice, Giampaolo Ferraioli, Vito Pascazio
2017 BioMedical Engineering OnLine  
Conclusions: A novel method for regularizing 3D MR image stacks is presented. The approach exploits Markov random fields for locally adapt filter intensity.  ...  Results: The method exploits Markov random fields in order to implement a 3D maximum a posteriori estimator of the image.  ...  T real axial dataset: acquired noisy image (a), filtering result achieved by anisotropic diffusion (b), 3D bilateral (c), LMMSE (d), BM3D (e) and proposed MAP (f) filters Fig. 9 9 Filtering results  ... 
doi:10.1186/s12938-017-0319-x pmid:28173816 pmcid:PMC5297150 fatcat:q75n6bwbu5godbtfai67gzmoyi

An automated three-dimensional plus time registration framework for dynamic MR renography

Ting Song, Vivian S. Lee, Qun Chen, Henry Rusinek, Andrew F. Laine
2010 Journal of Visual Communication and Image Representation  
In this paper, a fully automated technique, Wavelet Representation and the Fourier Transform (WRFT) method, that corrects for translation and rotation motion in 3D MR renography is presented.  ...  The method was composed by anisotropic denoising, wavelet-based feature extraction, and Fourier-based registration.  ...  Therefore, we have applied a computationally efficient denoising filter based on anisotropic diffusion previously developed by [16] for 3D cardiac ultrasound data analysis.  ... 
doi:10.1016/j.jvcir.2009.09.003 fatcat:gwlfxfnvivbfpazyseorh4sr3a

Automatic Parameter Optimization for De-noising MR Data [chapter]

Joaquín Castellanos, Karl Rohr, Thomas Tolxdorff, Gudrun Wagenknecht
2005 Lecture Notes in Computer Science  
This paper describes an automatic parameter optimization method for anisotropic diffusion filters used to de-noise 2D and 3D MR images.  ...  The filtering process is integrated into a closed-loop system where image improvement is monitored indirectly by comparing the characteristics of the suppressed noise with those of the assumed noise model  ...  A/02/11312). Thanks are also due to Alejandro Rodón for language editing.  ... 
doi:10.1007/11566489_40 fatcat:4xq3hg7n7zc7loa3s6x43bemqy

Filtering h int Images for the Detection of Microcalcifications [chapter]

Marius George Linguraru, Michael Brady, Margaret Yam
2001 Lecture Notes in Computer Science  
The method is based on the use of the physics-based image representation hint [1] and use of anisotropic diffusion to filter hint images.  ...  A novel approach to detecting microcalcifications in x-ray mammography has been explored.  ...  Conclusion We have presented a filtering method based on anisotropic diffusion, a process known for its scale-space and edge detection properties.  ... 
doi:10.1007/3-540-45468-3_76 fatcat:qk2smwsoeraspdtsfv67ywgo6q
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