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This work developes a quantitative framework for describing the overcompleteness of a large class of frames. A previous paper introduced notions of localization and approximation between two frames $\mathcal{F} = \{f_i\}_{i \in I}$ and…

Functional Analysis · Mathematics 2007-05-23 R. Balan , P. G. Casazza , C. Heil , Z. Landau

Deep model fusion/merging is an emerging technique that merges the parameters or predictions of multiple deep learning models into a single one. It combines the abilities of different models to make up for the biases and errors of a single…

Machine Learning · Computer Science 2023-09-28 Weishi Li , Yong Peng , Miao Zhang , Liang Ding , Han Hu , Li Shen

An automated vehicle operating in an urban environment must be able to perceive and recognise object/obstacles in a three-dimensional world while navigating in a constantly changing environment. In order to plan and execute accurate…

Computer Vision and Pattern Recognition · Computer Science 2020-07-13 Julie Stephany Berrio , Mao Shan , Stewart Worrall , Eduardo Nebot

Change detection is one of the most challenging issues when analyzing remotely sensed images. Comparing several multi-date images acquired through the same kind of sensor is the most common scenario. Conversely, designing robust, flexible…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Vinicius Ferraris , Nicolas Dobigeon , Qi Wei , Marie Chabert

Multimodal image fusion aims to combine relevant information from images acquired with different sensors. In medical imaging, fused images play an essential role in both standard and automated diagnosis. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2021-02-18 Farshad G. Veshki , Nora Ouzir , Sergiy A. Vorobyov , Esa Ollila

High-speed off-road navigation requires long-range, high-resolution maps to enable robots to safely navigate over different surfaces while avoiding dangerous obstacles. However, due to limited computational power and sensing noise, most…

Multiresolution image fusion is a key problem for real-time satellite imaging and plays a central role in detecting and monitoring natural phenomena such as floods. It aims to solve the trade-off between temporal and spatial resolution in…

Image and Video Processing · Electrical Eng. & Systems 2025-09-17 Haoqing Li , Ricardo Borsoi , Tales Imbiriba , Pau Closas

Various non-trivial spaces are becoming popular for embedding structured data such as graphs, texts, or images. Following spherical and hyperbolic spaces, more general product spaces have been proposed. However, searching for the best…

Machine Learning · Computer Science 2022-04-11 Kirill Shevkunov , Liudmila Prokhorenkova

Image fusion is famous as an alternative solution to generate one high-quality image from multiple images in addition to image restoration from a single degraded image. The essence of image fusion is to integrate complementary information…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Pengwei Liang , Junjun Jiang , Qing Ma , Xianming Liu , Jiayi Ma

This paper proposes a general duality framework for the problem of minimizing a convex integral functional over a space of stochastic processes adapted to a given filtration. The framework unifies many well-known duality frameworks from…

Computational Finance · Quantitative Finance 2010-06-28 Teemu Pennanen

Feature transformation aims to extract a good representation (feature) space by mathematically transforming existing features. It is crucial to address the curse of dimensionality, enhance model generalization, overcome data sparsity, and…

Machine Learning · Computer Science 2022-12-26 Meng Xiao , Dongjie Wang , Min Wu , Kunpeng Liu , Hui Xiong , Yuanchun Zhou , Yanjie Fu

Due to the lack of a definitive ground truth for the image fusion problem, the loss functions are structured based on evaluation metrics, such as the structural similarity index measure (SSIM). However, in doing so, a bias is introduced…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Aytekin Erdogan , Erdem Akagündüz

Geometric duality theory for multiple objective linear programming problems turned out to be very useful for the development of efficient algorithms to generate or approximate the whole set of nondominated points in the outcome space. This…

Optimization and Control · Mathematics 2011-09-19 Frank Heyde

Image decomposition plays a crucial role in various computer vision tasks, enabling the analysis and manipulation of visual content at a fundamental level. Overlapping images, which occur when multiple objects or scenes partially occlude…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Saúl Alonso-Monsalve , Davide Sgalaberna , Xingyu Zhao , Adrien Molines , Clark McGrew , André Rubbia

LiDAR and camera are two important sensors for 3D object detection in autonomous driving. Despite the increasing popularity of sensor fusion in this field, the robustness against inferior image conditions, e.g., bad illumination and sensor…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Xuyang Bai , Zeyu Hu , Xinge Zhu , Qingqiu Huang , Yilun Chen , Hongbo Fu , Chiew-Lan Tai

Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

Features from multiple scales can greatly benefit the semantic edge detection task if they are well fused. However, the prevalent semantic edge detection methods apply a fixed weight fusion strategy where images with different semantics are…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Yuan Hu , Yunpeng Chen , Xiang Li , Jiashi Feng

This work presents a quantitative framework for describing the overcompleteness of a large class of frames. It introduces notions of localization and approximation between two frames $\mathcal{F} = \{f_i\}_{i \in I}$ and $\mathcal{E} =…

Functional Analysis · Mathematics 2007-05-23 R. Balan , P. G. Casazza , C. Heil , Z. Landau

In this paper, we study the cross-modal image retrieval, where the inputs contain a source image plus some text that describes certain modifications to this image and the desired image. Prior work usually uses a three-stage strategy to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Chunbin Gu , Jiajun Bu , Xixi Zhou , Chengwei Yao , Dongfang Ma , Zhi Yu , Xifeng Yan

Several Scientific and engineering applications require merging of sampled images for complex perception development. In most cases, for such requirements, images are merged at intensity level. Even though it gives fairly good perception of…

Computer Vision and Pattern Recognition · Computer Science 2014-08-01 T. R. Gopalakrishnan Nair , Richa Sharma