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Edge-enhancing diffusion (EED) can reconstruct a close approximation of an original image from a small subset of its pixels. This makes it an attractive foundation for PDE based image compression. In this work, we generalize second-order…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Ikram Jumakulyyev , Thomas Schultz

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

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

Segmentation of retinal vessels from retinal fundus images is the key step in the automatic retinal image analysis. In this paper, we propose a new unsupervised automatic method to segment the retinal vessels from retinal fundus images.…

Computer Vision and Pattern Recognition · Computer Science 2017-07-21 Renoh Johnson Chalakkal , Waleed Abdulla

The multi-scale Frangi vesselness filter is an established tool in (retinal) vascular imaging. However, it cannot cope with crossings or bifurcations, since it only looks for elongated structures. Therefore, we disentangle crossing…

Computer Vision and Pattern Recognition · Computer Science 2014-05-20 Julius Hannink , Remco Duits , Erik Bekkers

Raster images can have a range of various distortions connected to their raster structure. Upsampling them might in effect substantially yield the raster structure of the original image, known as aliasing. The upsampling itself may…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Artur Rataj

We present an edge preserving and denoising filter for enhancing the features in images, which contain an ROI having a narrow spatial extent. Typical examples include angiograms, or ROI spatially distributed in multiple locations and…

Computer Vision and Pattern Recognition · Computer Science 2013-03-12 Joseph Suresh Paul , Joshin John Mathew , Souparnika Kandoth Naroth , Chandrasekar Kesavadas

This paper deals with an improvement of vertex based nonlinear diffusion for mesh denoising. This method directly filters the position of the vertices using Laplace, reduced centered Gaussian and Rayleigh probability density functions as…

Computer Vision and Pattern Recognition · Computer Science 2010-09-24 Mohammed EL Hassouni , Driss Aboutajdine

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

The detection of vascular structures from noisy images is a fundamental process for extracting meaningful information in many applications. Most well-known vascular enhancing techniques often rely on Hessian-based filters. This paper…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Haifa F. Alhasson , Shuaa S. Alharbi , Boguslaw Obara

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 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

This paper introduces a novel approach for image and video orientation estimation by leveraging depth distribution in natural images. The proposed method estimates the orientation based on the depth distribution across different quadrants…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Muhammad Z. Alam , Larry Stetsiuk , M. Umair Mukati , Zeeshan Kaleem

We present an algorithm to estimate fast and accurate depth maps from light fields via a sparse set of depth edges and gradients. Our proposed approach is based around the idea that true depth edges are more sensitive than texture edges to…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Numair Khan , Min H. Kim , James Tompkin

We present a progressive image decomposition method based on a novel non-linear filter named Sub-window Variance filter. Our method is specifically designed for image detail enhancement purpose; this application requires extraction of image…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Kin-Ming Wong

Diffusion magnetic resonance imaging is an imaging technology designed to probe anatomical architectures of biological samples in an in vivo and non-invasive manner through measuring water diffusion. The contribution of this paper is…

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

Elongated anisotropic Gaussian filters are used for the orientation estimation of fibers. In cases where computed tomography images are noisy, roughly resolved, and of low contrast, they are the method of choice even if being efficient only…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Alex Keilmann , Michael Godehardt , Ali Moghiseh , Claudia Redenbach , Katja Schladitz

We propose a seamless multiscale method which approximates the macroscopic behavior of the passive advection-diffusion equations with steady incompressible velocity fields with multi-spatial scales. The method uses decompositions of the…

Numerical Analysis · Mathematics 2016-06-22 Yoonsang Lee , Bjorn Engquist

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
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