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Related papers: Anisotropic Diffusion in ITK

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Anisotropic diffusion is a well recognized tool in digital image processing, including edge detection and denoising. We present here a particular nonlinear time-dependent operator together with an appropriate high-order discretization for…

Numerical Analysis · Mathematics 2022-04-29 Lorella Fatone , Daniele Funaro

Image denoising is an important problem in low-level vision and serves as a critical module for many image recovery tasks. Anisotropic diffusion is a wide family of image denoising approaches with promising performance. However, traditional…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Xinran Qin , Yuhui Quan , Ruotao Xu , Hui Ji

Anisotropic diffusion processes with a diffusion tensor are important in image analysis, physics, and engineering. However, their numerical approximation has a strong impact on dissipative artefacts and deviations from rotation invariance.…

Numerical Analysis · Mathematics 2024-04-09 Karl Schrader , Joachim Weickert , Michael Krause

The main purpose of this paper is to propose a new preprocessing step in order to improve local feature descriptors and texture classification. Preprocessing is implemented by using transformations which help highlight salient features that…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Mariane B. Neiva , Patrick Guidotti , Odemir M. Bruno

We demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on in-surface diffusion: we formulate Weickert's edge/coherence…

Numerical Analysis · Mathematics 2014-04-08 Emma Naden , Thomas März , Colin B. Macdonald

In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically…

Analysis of PDEs · Mathematics 2019-07-23 Giacomo Aletti , Monica Moroni , Giovanni Naldi

Three-dimensional microscopy is often limited by anisotropic spatial resolution, resulting in lower axial resolution than lateral resolution. Current State-of-The-Art (SoTA) isotropic reconstruction methods utilizing deep neural networks…

Image and Video Processing · Electrical Eng. & Systems 2023-06-22 Mingjie Pan , Yulu Gan , Fangxu Zhou , Jiaming Liu , Aimin Wang , Shanghang Zhang , Dawei Li

High-frequency noise is present in several modalities of medical images. It originates from the acquisition process and may be related to the scanner configurations, the scanned body, or to other external factors. This way, prospective…

Image and Video Processing · Electrical Eng. & Systems 2018-12-13 Fábio A. M. Cappabianco , Petrus P. C. E. da Silva

We present an anisotropic extension of the isotropic osmosis model that has been introduced by Weickert et al.~(Weickert, 2013) for visual computing applications, and we adapt it specifically to shadow removal applications. We show that in…

Analysis of PDEs · Mathematics 2019-05-22 Simone Parisotto , Luca Calatroni , Marco Caliari , Carola-Bibiane Schönlieb , Joachim Weickert

Anisotropic Diffusion is widely used for noise reduction with simultaneous preservation of vascular structures in maximum intensity projected (MIP) angiograms. However, extension to minimum intensity projected (mIP) venograms in…

Computer Vision and Pattern Recognition · Computer Science 2015-01-15 P. K. Akshara , J. S. Paul

Data compression is a method of improving the efficiency of transmission and storage of images. Dithering, as a method of data compression, can be used to convert an 8-bit gray level image into a 1-bit / binary image. Undithering is the…

Computer Vision and Pattern Recognition · Computer Science 2011-08-17 V. Asha

A multitude of imaging and vision tasks have seen recently a major transformation by deep learning methods and in particular by the application of convolutional neural networks. These methods achieve impressive results, even for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Simon Arridge , Andreas Hauptmann

We develop a multiexposure image fusion method based on texture features, which exploits the edge preserving and intraregion smoothing property of nonlinear diffusion filters based on partial differential equations (PDE). With the captured…

Multimedia · Computer Science 2013-07-11 Harbinder Singh , Vinay Kumar , Sunil Bhooshan

Statistical analysis of Diffusion Tensor Imaging (DTI) data requires a computational framework that is both numerically tractable (to account for the high dimensional nature of the data) and geometric (to account for the nonlinear nature of…

Computer Vision and Pattern Recognition · Computer Science 2012-10-11 Anne Collard , Silvère Bonnabel , Christophe Phillips , Rodolphe Sepulchre

The spatial diffusion of cosmic rays in turbulent magnetic fields can, in the most general case, be fully anisotropic, i.e. one has to distinguish three diffusion axes in a local, field-aligned frame. We reexamine the transformation for the…

In this paper, we introduce a denoising diffusion algorithm to discover microstructures with nonlinear fine-tuned properties. Denoising diffusion probabilistic models are generative models that use diffusion-based dynamics to gradually…

Machine Learning · Computer Science 2023-06-14 Nikolaos N. Vlassis , WaiChing Sun

We introduce an integrodifferential extension of the edge-enhancing anisotropic diffusion model for image denoising. By accumulating weighted structural information on multiple scales, our model is the first to create anisotropy through…

Image and Video Processing · Electrical Eng. & Systems 2021-05-18 Tobias Alt , Joachim Weickert

This work concerns the modeling of radiative transfer in anisotropic turbid media using diffusion theory. A theory for the relationship between microscopic scattering properties (i.e., an arbitrary differential scattering cross-section) and…

Optics · Physics 2014-08-14 Erik Alerstam

Dielectric tensor tomography is an imaging technique for mapping three-dimensional distributions of dielectric properties in transparent materials. This work introduces an enhanced illumination strategy employing a micro-electromechanical…

We report on the broadband transient optical response from anisotropic nanobrick amorphous silicon particles, exhibiting Mie-type resonances. A quantitative model is developed to identify and disentangle the three physical processes that…

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