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Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Existing image enhancement methods fall short of expectations because with them it is difficult to improve global and local image contrast simultaneously. To address this problem, we propose a histogram equalization-based method that adapts…

Computer Vision and Pattern Recognition · Computer Science 2022-09-15 Xiaomeng Wu , Takahito Kawanishi , Kunio Kashino

Video inpainting aims to fill spatio-temporal holes with plausible content in a video. Despite tremendous progress of deep neural networks for image inpainting, it is challenging to extend these methods to the video domain due to the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Dahun Kim , Sanghyun Woo , Joon-Young Lee , In So Kweon

Cyclic data arise in various image and signal processing applications such as interferometric synthetic aperture radar, electroencephalogram data analysis, and color image restoration in HSV or LCh spaces. In this paper we introduce a…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Andreas Weinmann

Feature attribution methods, or saliency maps, are one of the most popular approaches for explaining the decisions of complex machine learning models such as deep neural networks. In this study, we propose a stochastic optimization approach…

Machine Learning · Statistics 2018-07-17 Kouichi Ikeno , Satoshi Hara

We develop an interpolation-based modeling framework for parameter-dependent partial differential equations arising in control, inverse problems, and uncertainty quantification. The solution is discretized in the physical domain using…

Numerical Analysis · Mathematics 2026-04-20 Erik Burman , Mats G. Larson , Karl Larsson , Jonatan Vallin

Image segmentation is an inherently ill-posed problem and thus requires regularization in order to limit the search space to reasonable solutions. A majority of segmentation methods integrates these regularization terms in one way or the…

Numerical Analysis · Mathematics 2018-10-31 Uri Nahum , Philippe C. Cattin

Advanced image editing techniques, particularly inpainting, are essential for seamlessly removing unwanted elements while preserving visual integrity. Traditional GAN-based methods have achieved notable success, but recent advancements in…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Yigit Ekin , Ahmet Burak Yildirim , Erdem Eren Caglar , Aykut Erdem , Erkut Erdem , Aysegul Dundar

In image processing, problems of separation and reconstruction of missing pixels from incomplete digital images have been far more advanced in past decades. Many empirical results have produced very good results, however, providing a…

Functional Analysis · Mathematics 2022-02-08 Van Tiep Do

With well-selected data, homogeneous diffusion inpainting can reconstruct images from sparse data with high quality. While 4K colour images of size 3840 x 2160 can already be inpainted in real time, optimising the known data for…

Image and Video Processing · Electrical Eng. & Systems 2023-05-17 Karl Schrader , Pascal Peter , Niklas Kämper , Joachim Weickert

We propose an algorithm for the fusion of partial images collected from the visual and infrared cameras such that the visual and infrared images are the real and imaginary parts of a complex function. The proposed image fusion algorithm of…

Image and Video Processing · Electrical Eng. & Systems 2020-05-05 Ya. Ye. Khaustov , D. Ye , Ye. Ryzhov , E. Lychkovskyy , Yu. A. Nastishin

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

Image harmonization aims to produce visually harmonious composite images by adjusting the foreground appearance to be compatible with the background. When the composite image has photographic foreground and painterly background, the task is…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Junyan Cao , Yan Hong , Li Niu

Finding optimal data for inpainting is a key problem in the context of partial differential equation based image compression. The data that yields the most accurate reconstruction is real-valued. Thus, quantisation models are mandatory to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-21 Laurent Hoeltgen , Pascal Peter , Michael Breuß

In many advanced video based applications background modeling is a pre-processing step to eliminate redundant data, for instance in tracking or video surveillance applications. Over the past years background subtraction is usually based on…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Maryam Sultana , Arif Mahmood , Sajid Javed , Soon Ki Jung

Evolutionary algorithms are metaheuristic techniques that derive inspiration from the natural process of evolution. They can efficiently solve (generate acceptable quality of solution in reasonable time) complex optimization (NP-Hard)…

Computer Vision and Pattern Recognition · Computer Science 2013-12-20 Anupriya Gogna , Akash Tayal

Image inpainting, the task of reconstructing missing segments in corrupted images using available data, faces challenges in ensuring consistency and fidelity, especially under information-scarce conditions. Traditional evaluation methods,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Tianyi Chen , Jianfu Zhang , Yan Hong , Yiyi Zhang , Liqing Zhang

This article reviews recent advances in convex optimization algorithms for Big Data, which aim to reduce the computational, storage, and communications bottlenecks. We provide an overview of this emerging field, describe contemporary…

Optimization and Control · Mathematics 2014-11-05 Volkan Cevher , Stephen Becker , Mark Schmidt

Deep image inpainting research mainly focuses on constructing various neural network architectures or imposing novel optimization objectives. However, on the one hand, building a state-of-the-art deep inpainting model is an extremely…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Yufeng Wang , Dan Li , Cong Xu , Min Yang

Multidimensional imaging, capturing image data in more than two dimensions, has been an emerging field with diverse applications. Due to the limitation of two-dimensional detectors in obtaining the high-dimensional image data, computational…

Image and Video Processing · Electrical Eng. & Systems 2020-06-16 Didem Dogan , Figen S. Oktem
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