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We consider the tasks of representing, analyzing and manipulating maps between shapes. We model maps as densities over the product manifold of the input shapes; these densities can be treated as scalar functions and therefore are…

Graphics · Computer Science 2019-01-10 Emanuele Rodolà , Zorah Lähner , Alex M. Bronstein , Michael M. Bronstein , Justin Solomon

Spectrum cartography constructs maps of metrics such as channel gain or received signal power across a geographic area of interest using spatially distributed sensor measurements. Applications of these maps include network planning,…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Yves Teganya , Daniel Romero , Luis Miguel Lopez Ramos , Baltasar Beferull-Lozano

Despite the success of deep functional maps in non-rigid 3D shape matching, there exists no learning framework that models both self-symmetry and shape matching simultaneously. This is despite the fact that errors due to symmetry mismatch…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Abhishek Sharma , Maks Ovsjanikov

In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness. More specifically, we…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Nicolas Donati , Etienne Corman , Simone Melzi , Maks Ovsjanikov

Establishing point-to-point correspondences across multiple 3D shapes is a fundamental problem in computer vision and graphics. In this paper, we introduce DcMatch, a novel unsupervised learning framework for non-rigid multi-shape matching.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Tianwei Ye , Yong Ma , Xiaoguang Mei

Image feature matching is a fundamental part of many geometric computer vision applications, and using multiple images can improve performance. In this work, we formulate multi-image matching as a graph embedding problem then use a Graph…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Stephen Phillips , Kostas Daniilidis

In this paper, we propose a learning-based framework for non-rigid shape registration without correspondence supervision. Traditional shape registration techniques typically rely on correspondences induced by extrinsic proximity, therefore…

Computer Vision and Pattern Recognition · Computer Science 2023-11-09 Puhua Jiang , Mingze Sun , Ruqi Huang

We present a simple and efficient method for refining maps or correspondences by iterative upsampling in the spectral domain that can be implemented in a few lines of code. Our main observation is that high quality maps can be obtained even…

Graphics · Computer Science 2019-09-13 Simone Melzi , Jing Ren , Emanuele Rodolà , Abhishek Sharma , Peter Wonka , Maks Ovsjanikov

Spectrum maps reflect the utilization and distribution of spectrum resources in the electromagnetic environment, serving as an effective approach to support spectrum management. However, the construction of spectrum maps in urban…

Machine Learning · Computer Science 2025-01-23 Jiayu Liu , Fuhui Zhou , Xiaodong Liu , Rui Ding , Lu Yuan , Qihui Wu

A classical approach for surface classification is to find a compact algebraic representation for each surface that would be similar for objects within the same class and preserve dissimilarities between classes. We introduce Self…

Computational Geometry · Computer Science 2018-05-01 Oshri Halimi , Ron Kimmel

Deep learning's performance has been extensively recognized recently. Graph neural networks (GNNs) are designed to deal with graph-structural data that classical deep learning does not easily manage. Since most GNNs were created using…

Machine Learning · Computer Science 2023-09-20 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu

Discriminative deep learning approaches have shown impressive results for problems where human-labeled ground truth is plentiful, but what about tasks where labels are difficult or impossible to obtain? This paper tackles one such problem:…

Computer Vision and Pattern Recognition · Computer Science 2016-04-20 Tinghui Zhou , Philipp Krähenbühl , Mathieu Aubry , Qixing Huang , Alexei A. Efros

Graph embedding techniques are useful to characterize spectral signature relations for hyperspectral images. However, such images consists of disjoint classes due to spatial details that are often ignored by existing graph computing tools.…

Computer Vision and Pattern Recognition · Computer Science 2012-11-29 Dalton Lunga 'and' Okan Ersoy

Graph is a highly generic and diverse representation, suitable for almost any data processing problem. Spectral graph theory has been shown to provide powerful algorithms, backed by solid linear algebra theory. It thus can be extremely…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Or Streicher , Ido Cohen , Guy Gilboa

The exploration of large-scale unknown environments can benefit from the deployment of multiple robots for collaborative mapping. Each robot explores a section of the environment and communicates onboard pose estimates and maps to a central…

Robotics · Computer Science 2022-11-03 Lukas Bernreiter , Shehryar Khattak , Lionel Ott , Roland Siegwart , Marco Hutter , Cesar Cadena

Hyperspectral images (HSI) with abundant spectral information reflected materials property usually perform low spatial resolution due to the hardware limits. Meanwhile, multispectral images (MSI), e.g., RGB images, have a high spatial…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Shuaikai Shi , Lijun Zhang , Yoann Altmann , Jie Chen

Unsupervised cross-spectral stereo matching aims at recovering disparity given cross-spectral image pairs without any supervision in the form of ground truth disparity or depth. The estimated depth provides additional information…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Mingyang Liang , Xiaoyang Guo , Hongsheng Li , Xiaogang Wang , You Song

Establishing dense semantic correspondences between object instances remains a challenging problem due to background clutter, significant scale and pose differences, and large intra-class variations. In this paper, we address weakly…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Yun-Chun Chen , Po-Hsiang Huang , Li-Yu Yu , Jia-Bin Huang , Ming-Hsuan Yang , Yen-Yu Lin

The complex dynamics of baker's map and its variants in an infinite-precision mathematical domain have been extensively analyzed in the past five decades. However, their real structure implemented in a finite-precision computer remains…

Chaotic Dynamics · Physics 2024-10-08 Chengqing Li , Kai Tan

Correspondences emerge from large-scale vision models trained for generative and discriminative tasks. This has been revealed and benchmarked by computing correspondence maps between pairs of images, using nearest neighbors on the feature…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Xinle Cheng , Congyue Deng , Adam Harley , Yixin Zhu , Leonidas Guibas