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The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial…

Numerical Analysis · Mathematics 2015-12-01 Martin Burger , Jan Modersitzki , Sebastian Suhr

In this letter, we introduce several algorithms for geometry inpainting of 3D point clouds with large holes. The algorithms are examplar-based: hole filling is performed iteratively using templates near the hole boundary to find the best…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Chinthaka Dinesh , Ivan V. Bajic , Gene Cheung

Recently, compressed sensing techniques in combination with both wavelet and directional representation systems have been very effectively applied to the problem of image inpainting. However, a mathematical analysis of these techniques…

Functional Analysis · Mathematics 2012-11-29 Emily J. King , Gitta Kutyniok , Xiaosheng Zhuang

Image inpainting is an effective method to enhance distorted digital images. Different inpainting methods use the information of neighboring pixels to predict the value of missing pixels. Recently deep neural networks have been used to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Mohammad H. Givkashi , Mahshid Hadipour , Arezoo PariZanganeh , Zahra Nabizadeh , Nader Karimi , Shadrokh Samavi

We propose a new variational model for non-linear image fusion. Our approach is based on the use of an osmosis energy term related to the one studied in Vogel et al. (2013) and Weickert et al. (2013) The minimization of the proposed…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Simone Parisotto , Luca Calatroni , Aurélie Bugeau , Nicolas Papadakis , Carola-Bibiane Schönlieb

We present a novel approach for the reconstruction of dynamic geometric shapes using a single hand-held consumer-grade RGB-D sensor at real-time rates. Our method does not require a pre-defined shape template to start with and builds up the…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Matthias Innmann , Michael Zollhöfer , Matthias Nießner , Christian Theobalt , Marc Stamminger

The feature frame is a key idea of feature matching problem between two images. However, most of the traditional matching methods only simply employ the spatial location information (the coordinates), which ignores the shape and orientation…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Liang Shen , Jiahua Zhu , Chongyi Fan , Xiaotao Huang , Tian Jin

Nonlocal equations effectively preserve textures but exhibit weak regularization effects in image denoising, whereas local equations offer strong denoising capabilities yet fail to protect textures. To integrate the advantages of both…

Analysis of PDEs · Mathematics 2025-10-31 Yi Ran , Zhichang Guo , Kehan Shi , Qirui Zhou , Jingfeng Shao , Martin Burger , Boying Wu

Various algorithms have been proposed for dictionary learning. Among those for image processing, many use image patches to form dictionaries. This paper focuses on whole-image recovery from corrupted linear measurements. We address the open…

Computer Vision and Pattern Recognition · Computer Science 2014-08-19 Yangyang Xu , Wotao Yin

We propose a system for surface completion and inpainting of 3D shapes using generative models, learnt on local patches. Our method uses a novel encoding of height map based local patches parameterized using 3D mesh quadrangulation of the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Kripasindhu Sarkar , Kiran Varanasi , Didier Stricker

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed model is inspired by the architecture of generative…

Optimization and Control · Mathematics 2021-11-10 Andreas Habring , Martin Holler

We present a new data-driven video inpainting method for recovering missing regions of video frames. A novel deep learning architecture is proposed which contains two sub-networks: a temporal structure inference network and a spatial detail…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Chuan Wang , Haibin Huang , Xiaoguang Han , Jue Wang

Exemplar-based sketch-to-photo synthesis allows users to generate photo-realistic images based on sketches. Recently, diffusion-based methods have achieved impressive performance on image generation tasks, enabling highly-flexible control…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Ximing Xing , Chuang Wang , Haitao Zhou , Zhihao Hu , Chongxuan Li , Dong Xu , Qian Yu

Exemplar-based colourisation aims to add plausible colours to a grayscale image using the guidance of a colour reference image. Most of the existing methods tackle the task as a style transfer problem, using a convolutional neural network…

Image and Video Processing · Electrical Eng. & Systems 2021-05-06 Marc Gorriz Blanch , Issa Khalifeh , Alan Smeaton , Noel O'Connor , Marta Mrak

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen

In this work, we propose an approach to perform non-uniform image interpolation based on a Gaussian Mixture Model. Traditional image interpolation methods, like nearest neighbor, bilinear, Hamming, Lanczos, etc. assume that the coordinates…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Ivan Skorokhodov

The new alternative is to use deep learning to inpaint any image by utilizing image classification and computer vision techniques. In general, image inpainting is a task of recreating or reconstructing any broken image which could be a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Narayana Darapaneni , Vaibhav Kherde , Kameswara Rao , Deepali Nikam , Swanand Katdare , Anima Shukla , Anagha Lomate , Anwesh Reddy Paduri

We introduce a framework for subspace methods which approximate the spectra of self-adjoint, unbounded operators in a local region. Using the projection-valued measure, we derive integrated spectral inequalities that also apply to unbounded…

Numerical Analysis · Mathematics 2026-01-06 Timothy Stroschein

The availability of affordable and portable depth sensors has made scanning objects and people simpler than ever. However, dealing with occlusions and missing parts is still a significant challenge. The problem of reconstructing a (possibly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Or Litany , Alex Bronstein , Michael Bronstein , Ameesh Makadia

The real world exhibits an abundance of non-stationary textures. Examples include textures with large-scale structures, as well as spatially variant and inhomogeneous textures. While existing example-based texture synthesis methods can cope…

Graphics · Computer Science 2024-01-08 Yang Zhou , Zhen Zhu , Xiang Bai , Dani Lischinski , Daniel Cohen-Or , Hui Huang
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