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We introduce in this paper a learning paradigm in which the training data is transformed by a diffeomorphic transformation before prediction. The learning algorithm minimizes a cost function evaluating the prediction error on the training…

Machine Learning · Statistics 2023-12-05 Laurent Younes

Diffusive representations of fractional derivatives have proven to be useful tools in the construction of fast and memory efficient numerical methods for solving fractional differential equations. A common challenge in many of the known…

Numerical Analysis · Mathematics 2022-04-11 Kai Diethelm

Besides per-pixel accuracy, topological correctness is also crucial for the segmentation of images with fine-scale structures, e.g., satellite images and biomedical images. In this paper, by leveraging the theory of digital topology, we…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Xiaoling Hu

The curvature regularities are well-known for providing strong priors in the continuity of edges, which have been applied to a wide range of applications in image processing and computer vision. However, these models are usually non-convex,…

Numerical Analysis · Mathematics 2019-12-03 Qiuxiang Zhong , Ke Yin , Yuping Duan

Facial Appearance Editing (FAE) aims to modify physical attributes, such as pose, expression and lighting, of human facial images while preserving attributes like identity and background, showing great importance in photograph. In spite of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Qilin Wang , Jiangning Zhang , Chengming Xu , Weijian Cao , Ying Tai , Yue Han , Yanhao Ge , Hong Gu , Chengjie Wang , Yanwei Fu

Deformable registration has been one of the pillars of biomedical image computing. Conventional approaches refer to the definition of a similarity criterion that, once endowed with a deformation model and a smoothness constraint, determines…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Enzo Ferrante , Puneet K. Dokania , Rafael Marini Silva , Nikos Paragios

Detecting and localizing image manipulation are necessary to counter malicious use of image editing techniques. Accordingly, it is essential to distinguish between authentic and tampered regions by analyzing intrinsic statistics in an…

Image and Video Processing · Electrical Eng. & Systems 2022-05-26 Myung-Joon Kwon , Seung-Hun Nam , In-Jae Yu , Heung-Kyu Lee , Changick Kim

Also recently, exciting strides forward have been made in the area of image restoration, particularly for image denoising and single image super-resolution. Deep learning techniques contributed to this significantly. The top methods differ…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Jiqing Wu , Radu Timofte , Luc Van Gool

Discriminative Correlation Filter (DCF) based methods have shown competitive performance on tracking benchmarks in recent years. Generally, DCF based trackers learn a rigid appearance model of the target. However, this reliance on a single…

Computer Vision and Pattern Recognition · Computer Science 2017-06-12 Joakim Johnander , Martin Danelljan , Fahad Shahbaz Khan , Michael Felsberg

Analog computation is an alternative to digital computation, that has recently re-gained prominence, since it includes neural networks and neuromorphic computing. Further important examples are cellular automata and differential analyzers.…

Dynamical Systems · Mathematics 2026-01-14 Levin Hornischer

Virtual try-on (VTON) aims to synthesize realistic images of a person wearing a target garment, with broad applications in e-commerce and digital fashion. While recent advances in latent diffusion models have substantially improved visual…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Xiang Xu

Unsupervised deformable image registration is one of the challenging tasks in medical imaging. Obtaining a high-quality deformation field while preserving deformation topology remains demanding amid a series of deep-learning-based…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Yi Qin , Xiaomeng Li

Image segmentation algorithms can be understood as a collection of pixel classifiers, for which the outcomes of nearby pixels are correlated. Classifier models can be calibrated using Inductive Conformal Prediction, but this requires…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Joren Brunekreef , Eric Marcus , Ray Sheombarsing , Jan-Jakob Sonke , Jonas Teuwen

Diffusion models provide powerful generative priors for solving inverse problems by sampling from a posterior distribution conditioned on corrupted measurements. Existing methods primarily follow two paradigms: direct methods, which…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Liav Hen , Tom Tirer , Raja Giryes , Shady Abu-Hussein

Recent deep learning-based methods have shown promising results and runtime advantages in deformable image registration. However, analyzing the effects of hyperparameters and searching for optimal regularization parameters prove to be too…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Tony C. W. Mok , Albert C. S. Chung

Classical {\W}$_3$ transformations are discussed as restricted diffeomorphism transformations (\W-Diff) in two-dimensional space. We formulate them by using Riemannian geometry as a basic ingredient. The extended {\W}$_3$ generators are…

High Energy Physics - Theory · Physics 2011-08-17 J. Gomis , J. Herrero , K. Kamimura , J. Roca

Obtaining labelled data in medical image segmentation is challenging due to the need for pixel-level annotations by experts. Recent works have shown that augmenting the object of interest with deformable transformations can help mitigate…

Computer Vision and Pattern Recognition · Computer Science 2023-07-26 Nilesh Kumar , Prashnna K. Gyawali , Sandesh Ghimire , Linwei Wang

Image registration has traditionally been done using two distinct approaches: learning based methods, relying on robust deep neural networks, and optimization-based methods, applying complex mathematical transformations to warp images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Gabriel De Araujo , Shanlin Sun , Xiaohui Xie

Multimodal image registration is a challenging but essential step for numerous image-guided procedures. Most registration algorithms rely on the computation of complex, frequently non-differentiable similarity metrics to deal with the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Matteo Ronchetti , Wolfgang Wein , Nassir Navab , Oliver Zettinig , Raphael Prevost

This paper develops a constructive numerical scheme for Fourier-Bessel approximations on disks compatible with convolutions supported on disks. We address accurate finite Fourier-Bessel transforms (FFBT) and inverse finite Fourier-Bessel…

Numerical Analysis · Mathematics 2023-11-08 Arash Ghaani Farashahi , Gregory S. Chirikjian
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