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Related papers: Image Decomposition: Theory, Numerical Schemes, an…

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We present a novel method for the interactive control of geometric abstraction and texture in artistic images. Previous example-based stylization methods often entangle shape, texture, and color, while generative methods for image synthesis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-02 Martin Büßemeyer , Max Reimann , Benito Buchheim , Amir Semmo , Jürgen Döllner , Matthias Trapp

Photographers routinely compose multiple manipulated photos of the same scene (layers) into a single image, which is better than any individual photo could be alone. Similarly, 3D artists set up rendering systems to produce layered images…

Graphics · Computer Science 2017-02-03 Carlo Innamorati , Tobias Ritschel , Tim Weyrich , Niloy J. Mitra

Starting from a variational formulation, we present a model for image segmentation that employs both region statistics and edge information. This combination allows for improved flexibility, making the proposed model suitable to process a…

Analysis of PDEs · Mathematics 2019-10-15 Carlos M. Paniagua Mejia

We propose a novel model for decomposing grayscale images into three distinct components: the structural part, representing sharp boundaries and regions with strong light-to-dark transitions; the smooth part, capturing soft shadows and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Roy Y. He , Hao Liu

Sparse decomposition has been extensively used for different applications including signal compression and denoising and document analysis. In this paper, sparse decomposition is used for image segmentation. The proposed algorithm separates…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Shervin Minaee , Amirali Abdolrashidi , Yao Wang

Through the use of wavelet based Besov norms, we compute nontrivial multiscale nonlinear features of a given data set so as to enhance the standard Dynamic-Mode Decomposition algorithm. Thus we are able to build sophisticated observables…

Dynamical Systems · Mathematics 2026-01-14 Christopher W. Curtis

Area openings and closings are morphological filters which efficiently suppress impulse noise from an image, by removing small connected components of level sets. The problem of an objective choice of threshold for the area remains open.…

Probability · Mathematics 2016-08-16 David Coupier , Agnès Desolneux , Bernard Ycart

A variational model for imaging segmentation and denoising color images is proposed. The model combines Meyer's "u+v" decomposition with a chromaticity-brightness framework and is expressed by a minimization of energy integral functionals…

Analysis of PDEs · Mathematics 2016-03-25 Rita Ferreira , Irene Fonseca , M. Luisa Mascarenhas

We propose a fully-convolutional neural-network architecture for image denoising which is simple yet powerful. Its structure allows to exploit the gradual nature of the denoising process, in which shallow layers handle local noise…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Tal Remez , Or Litany , Raja Giryes , Alex M. Bronstein

Image segmentation is a key topic in image processing and computer vision with applications such as scene understanding, medical image analysis, robotic perception, video surveillance, augmented reality, and image compression, among many…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Shervin Minaee , Yuri Boykov , Fatih Porikli , Antonio Plaza , Nasser Kehtarnavaz , Demetri Terzopoulos

Texture plays a vital role in enhancing visual richness in both real photographs and computer-generated imagery. However, the process of editing textures often involves laborious and repetitive manual adjustments of textons, which are the…

Graphics · Computer Science 2024-09-24 Peihan Tu , Li-Yi Wei , Matthias Zwicker

Feature-based visual structure and motion reconstruction pipelines, common in visual odometry and large-scale reconstruction from photos, use the location of corresponding features in different images to determine the 3D structure of the…

Robotics · Computer Science 2016-07-04 Pablo F. Alcantarilla , Oliver J. Woodford

With the explosive growth of web-based cameras and mobile devices, billions of photographs are uploaded to the internet. We can trivially collect a huge number of photo streams for various goals, such as image clustering, 3D scene…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 Ju Shen , Jianjun Yang , Sami Taha-abusneineh , Bryson Payne , Markus Hitz

Images can be viewed as layered compositions, foreground objects over background, with potential occlusions. This layered representation enables independent editing of elements, offering greater flexibility for content creation. Despite the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Jingxi Chen , Yixiao Zhang , Xiaoye Qian , Zongxia Li , Cornelia Fermuller , Caren Chen , Yiannis Aloimonos

This paper presents a comprehensive evaluation framework for image segmentation algorithms, encompassing naive methods, machine learning approaches, and deep learning techniques. We begin by introducing the fundamental concepts and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Tatiana Merkulova , Bharani Jayakumar

Encoding and decoding models are widely used in systems, cognitive, and computational neuroscience to make sense of brain-activity data. However, the interpretation of their results requires care. Decoding models can help reveal whether…

Neurons and Cognition · Quantitative Biology 2019-04-29 Nikolaus Kriegeskorte , Pamela K. Douglas

Reconstructing the 3D shape of a deformable environment from the information captured by a moving depth camera is highly relevant to surgery. The underlying challenge is the fact that simultaneously estimating camera motion and tissue…

Computer Vision and Pattern Recognition · Computer Science 2024-08-09 Guido Caccianiga , Julian Nubert , Cesar Cadena , Marco Hutter , Katherine J. Kuchenbecker

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

We consider the problem of image denoising in the presence of noise whose statistical properties are a combination of two different distributions. We focus on noise distributions that are frequently considered in applications, in particular…

Optimization and Control · Mathematics 2016-11-22 Luca Calatroni , Juan Carlos De Los Reyes , Carola-Bibiane Schönlieb

We consider the problem of atmospheric tomography, as it appears for example in adaptive optics systems for extremely large telescopes. We derive a frame decomposition, i.e., a decomposition in terms of a frame, of the underlying…

Numerical Analysis · Mathematics 2021-12-06 Simon Hubmer , Ronny Ramlau