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Equipping the rototranslation group $SE(2)$ with a sub-Riemannian structure inspired by the visual cortex V1, we propose algorithms for image inpainting and enhancement based on hypoelliptic diffusion. We innovate on previous…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Francesco Ballerin , Erlend Grong

We present a new image inpainting algorithm, the Averaging and Hypoelliptic Evolution (AHE) algorithm, inspired by the one presented in [SIAM J. Imaging Sci., vol. 7, no. 2, pp. 669--695, 2014] and based upon a semi-discrete variation of…

Computer Vision and Pattern Recognition · Computer Science 2018-04-06 Ugo Boscain , Roman Chertovskih , Jean-Paul Gauthier , Dario Prandi , Alexey Remizov

The problem of inpainting involves reconstructing the missing areas of an image. Inpainting has many applications, such as reconstructing old damaged photographs or removing obfuscations from images. In this paper we present the directional…

Computer Vision and Pattern Recognition · Computer Science 2015-11-12 Jan Deriu , Rolf Jagerman , Kai-En Tsay

In this paper we study a model of geometry of vision due to Petitot, Citti and Sarti. One of the main features of this model is that the primary visual cortex V1 lifts an image from $R^2$ to the bundle of directions of the plane. Neurons…

Optimization and Control · Mathematics 2012-06-15 Ugo Boscain , Jean Duplaix , Jean-Paul Gauthier , Francesco Rossi

We provide a theoretical justification for sample recovery using diffusion based image inpainting in a linear model setting. While most inpainting algorithms require retraining with each new mask, we prove that diffusion based inpainting…

Machine Learning · Statistics 2023-02-03 Litu Rout , Advait Parulekar , Constantine Caramanis , Sanjay Shakkottai

Visual reconstruction algorithms are an interpretive tool that map brain activity to pixels. Past reconstruction algorithms employed brute-force search through a massive library to select candidate images that, when passed through an…

Neurons and Cognition · Quantitative Biology 2023-05-03 Reese Kneeland , Jordyn Ojeda , Ghislain St-Yves , Thomas Naselaris

Image inpainting is a technique used to restore missing or damaged regions of an image. Traditional methods primarily utilize information from adjacent pixels for reconstructing missing areas, while they struggle to preserve complex details…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Junyan Zhang , Yan Li , Mengxiao Geng , Liu Shi , Qiegen Liu

Diffusion probabilistic models learn to remove noise added during training, generating novel data (e.g., images) from Gaussian noise through sequential denoising. However, conditioning the generative process on corrupted or masked images is…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Sakshi Agarwal , Gabriel Hope , Jimin Heo , Erik B. Sudderth

Inpainting is the technique of reconstructing unknown or damaged portions of an image in a visually plausible way. Inpainting algorithm automatically fills the damaged region in an image using the information available in undamaged region.…

Computer Vision and Pattern Recognition · Computer Science 2012-09-14 S. Padmavathi , B. Priyalakshmi. Dr. K. P. Soman

Image inpainting algorithms are used to restore some damaged or missing information region of an image based on the surrounding information. The method proposed in this paper applies the radial based analysis of image inpainting on GRNN.…

Computer Vision and Pattern Recognition · Computer Science 2020-01-14 Karthik R , Anvita Dwivedi , Haripriya M , Bharath K P , Rajesh Kumar M

Image inpainting is a challenging problem as it needs to fill the information of the corrupted regions. Most of the existing inpainting algorithms assume that the positions of the corrupted regions are known. Different from the existing…

Computer Vision and Pattern Recognition · Computer Science 2017-12-27 Yang Liu , Jinshan Pan , Zhixun Su

We study the task of image inpainting, which is to fill in the missing region of an incomplete image with plausible contents. To this end, we propose a learning-based approach to generate visually coherent completion given a high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Yuhang Song , Chao Yang , Zhe Lin , Xiaofeng Liu , Qin Huang , Hao Li , C. -C. Jay Kuo

Image inpainting task refers to erasing unwanted pixels from images and filling them in a semantically consistent and realistic way. Traditionally, the pixels that are wished to be erased are defined with binary masks. From the application…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Ahmet Burak Yildirim , Vedat Baday , Erkut Erdem , Aykut Erdem , Aysegul Dundar

A solution to the inversion problem of scattering would offer aberration-free diffraction-limited 3D images without the resolution and depth-of-field limitations of lens-based tomographic systems. Powerful algorithms are increasingly being…

We present a novel cortically-inspired image completion algorithm. It uses a five dimensional sub-Riemannian cortical geometry modelling the orientation, spatial frequency and phase selective behavior of the cells in the visual cortex. The…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Emre Baspinar

Image inpainting refers to the task of generating a complete, natural image based on a partially revealed reference image. Recently, many research interests have been focused on addressing this problem using fixed diffusion models. These…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Guanhua Zhang , Jiabao Ji , Yang Zhang , Mo Yu , Tommi Jaakkola , Shiyu Chang

We consider Wilson-Cowan-type models for the mathematical description of orientation-dependent Poggendorff-like illusions. Our modelling improves two previously proposed cortical-inspired approaches embedding the sub-Riemannian heat kernel…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Emre Baspinar , Luca Calatroni , Valentina Franceschi , Dario Prandi

Image editing has advanced significantly with the introduction of text-conditioned diffusion models. Despite this progress, seamlessly adding objects to images based on textual instructions without requiring user-provided input masks…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Navve Wasserman , Noam Rotstein , Roy Ganz , Ron Kimmel

Image Inpainting is one of the very popular tasks in the field of image processing with broad applications in computer vision. In various practical applications, images are often deteriorated by noise due to the presence of corrupted, lost,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Harsh Patel , Amey Kulkarni , Shivam Sahni , Udit Vyas

Image inpainting is a restoration process which has numerous applications. Restoring of scanned old images with scratches, or removing objects in images are some of inpainting applications. Different approaches have been used for…

Image and Video Processing · Electrical Eng. & Systems 2018-01-03 Mehran Motmaen , Majid Mohrekesh , Mojtaba Akbari , Nader Karimi , Shadrokh Samavi
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