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Related papers: CNN-based Euler's Elastica Inpainting with Deep En…

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In this paper, we propose a structured image inpainting method employing an energy based model. In order to learn structural relationship between patterns observed in images and missing regions of the images, we employ an energy-based…

Computer Vision and Pattern Recognition · Computer Science 2018-08-31 Fazil Altinel , Mete Ozay , Takayuki Okatani

Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

Optimization and Control · Mathematics 2020-01-23 Carla Bertocchi , Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Marco Prato

We construct a method to fair a given discrete planar curve by using the integrable discrete analogue of Euler's elastica, which is a discrete version of the approximation algorithm presented by D. Brander, et al. We first give a brief…

Exactly Solvable and Integrable Systems · Physics 2024-09-05 Sebastian Elias Graiff Zurita , Kenji Kajiwara , Toshitomo Suzuki

The numerical approximation of solutions to the compressible Euler and Navier-Stokes equations is a crucial but challenging task with relevance in various fields of science and engineering. Recently, methods from deep learning have been…

Fluid Dynamics · Physics 2024-01-30 Simon Wassing , Stefan Langer , Philipp Bekemeyer

Face inpainting requires the model to have a precise global understanding of the facial position structure. Benefiting from the powerful capabilities of deep learning backbones, recent works in face inpainting have achieved decent…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Bo Zhao , Huan Yang , Jianlong Fu

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

Image inpainting techniques have shown significant improvements by using deep neural networks recently. However, most of them may either fail to reconstruct reasonable structures or restore fine-grained textures. In order to solve this…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yurui Ren , Xiaoming Yu , Ruonan Zhang , Thomas H. Li , Shan Liu , Ge Li

In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations (e.g. finite element analysis), the obtained surfaces do not have fine resolutions suitable for the task. Increasing…

Analysis of PDEs · Mathematics 2023-09-19 Yiyao Zhang , Ke Chen , Shang-Hua Yang

This paper concerns an optimization algorithm for unconstrained non-convex problems where the objective function has sparse connections between the unknowns. The algorithm is based on applying a dissipation preserving numerical integrator,…

Optimization and Control · Mathematics 2018-09-26 Torbjørn Ringholm , Jasmina Lazić , Carola-Bibiane Schönlieb

One classical approach to regularize color is to tream them as two dimensional surfaces embedded in a five dimensional spatial-chromatic space. In this case, a natural regularization term arises as the image surface area. Choosing the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Hao Liu , Xue-Cheng Tai , Ron Kimmel , Roland Glowinski

In this paper, we address the problem of degradation in inpainting quality of neural networks operating at high resolutions. Inpainting networks are often unable to generate globally coherent structures at resolutions higher than their…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Prakhar Kulshreshtha , Brian Pugh , Salma Jiddi

Pansharpening aims to synthesize high-resolution multispectral (HR-MS) images by fusing the spatial textures of panchromatic (PAN) images with the spectral information of low-resolution multispectral (LR-MS) images. While recent deep…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Anqi Zhu , Mengting Ma , Yizhen Jiang , Xiangdong Li , Kai Zheng , Jiaxin Li , Wei Zhang

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

Recent deep learning based approaches have shown promising results for the challenging task of inpainting large missing regions in an image. These methods can generate visually plausible image structures and textures, but often create…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Jiahui Yu , Zhe Lin , Jimei Yang , Xiaohui Shen , Xin Lu , Thomas S. Huang

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

The advent of deep learning in the past decade has significantly helped advance image inpainting. Although achieving promising performance, deep learning-based inpainting algorithms still struggle from the distortion caused by the fusion of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Kangdi Shi , Muhammad Alrabeiah , Jun Chen

Deep neural networks have been successfully applied to problems such as image segmentation, image super-resolution, coloration and image inpainting. In this work we propose the use of convolutional neural networks (CNN) for image inpainting…

Computer Vision and Pattern Recognition · Computer Science 2018-02-13 Pascal Laube , Michael Grunwald , Matthias O. Franz , Georg Umlauf

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

Estimating the elasticity of soft tissue can provide useful information for various diagnostic applications. Ultrasound shear wave elastography offers a non-invasive approach. However, its generalizability and standardization across…

Image and Video Processing · Electrical Eng. & Systems 2025-08-07 Sarah Grube , Sören Grünhagen , Sarah Latus , Michael Meyling , Alexander Schlaefer

Data-efficient image classification is a challenging task that aims to solve image classification using small training data. Neural network-based deep learning methods are effective for image classification, but they typically require…

Neural and Evolutionary Computing · Computer Science 2022-12-05 Ying Bi , Bing Xue , Mengjie Zhang