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We propose a method for efficiently computing orientation-preserving and approximately continuous correspondences between non-rigid shapes, using the functional maps framework. We first show how orientation preservation can be formulated…

Graphics · Computer Science 2018-10-04 Jing Ren , Adrien Poulenard , Peter Wonka , Maks Ovsjanikov

We propose a novel method of efficient upsampling of a single natural image. Current methods for image upsampling tend to produce high-resolution images with either blurry salient edges, or loss of fine textural detail, or spurious noise…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Chinmay Hegde , Oncel Tuzel , Fatih Porikli

In this paper we propose an approach for computing multiple high-quality near-isometric dense correspondences between a pair of 3D shapes. Our method is fully automatic and does not rely on user-provided landmarks or descriptors. This…

Graphics · Computer Science 2020-09-11 Jing Ren , Simone Melzi , Maks Ovsjanikov , Peter Wonka

Recent advances in semantic correspondence have been largely driven by the use of pre-trained large-scale models. However, a limitation of these approaches is their dependence on high-resolution input images to achieve optimal performance,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Hailing Jin , Huiying Li

Time-of-Flight (ToF) depth sensing camera is able to obtain depth maps at a high frame rate. However, its low resolution and sensitivity to the noise are always a concern. A popular solution is upsampling the obtained noisy low resolution…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Wei Liu , Yijun Li , Xiaogang Chen , Jie Yang , Qiang Wu , Jingyi Yu

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

In this work, we present a novel non-rigid shape matching framework based on multi-resolution functional maps with spectral attention. Existing functional map learning methods all rely on the critical choice of the spectral resolution…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Lei Li , Nicolas Donati , Maks Ovsjanikov

Although deep learning has enabled a huge leap forward in image inpainting, current methods are often unable to synthesize realistic high-frequency details. In this paper, we propose applying super-resolution to coarsely reconstructed…

Computer Vision and Pattern Recognition · Computer Science 2022-06-30 Soo Ye Kim , Kfir Aberman , Nori Kanazawa , Rahul Garg , Neal Wadhwa , Huiwen Chang , Nikhil Karnad , Munchurl Kim , Orly Liba

Although 3D shape matching and interpolation are highly interrelated, they are often studied separately and applied sequentially to relate different 3D shapes, thus resulting in sub-optimal performance. In this work we present a unified…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Dongliang Cao , Marvin Eisenberger , Nafie El Amrani , Daniel Cremers , Florian Bernard

We introduce \emph{ReMatching}, a novel shape correspondence solution based on the functional maps framework. Our method, by exploiting a new and appropriate \emph{re}-meshing paradigm, can target shape-\emph{matching} tasks even on meshes…

Graphics · Computer Science 2025-03-14 Filippo Maggioli , Daniele Baieri , Emanuele Rodolà , Simone Melzi

We consider the problem of establishing dense correspondences within a set of related shapes of strongly varying geometry. For such input, traditional shape matching approaches often produce unsatisfactory results. We propose an ensemble…

Graphics · Computer Science 2017-10-10 Oliver Burghard , Alexander Berner , Michael Wand , Niloy Mitra , Hans-Peter Seidel , Reinhard Klein

Deep functional maps have emerged in recent years as a prominent learning-based framework for non-rigid shape matching problems. While early methods in this domain only focused on learning in the functional domain, the latest techniques…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Robin Magnet , Maks Ovsjanikov

We propose a novel 3D shape correspondence method based on the iterative alignment of so-called smooth shells. Smooth shells define a series of coarse-to-fine shape approximations designed to work well with multiscale algorithms. The main…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Marvin Eisenberger , Zorah Lähner , Daniel Cremers

We present a novel method for accurate and efficient up- sampling of sparse depth data, guided by high-resolution imagery. Our approach goes beyond the use of intensity cues only and additionally exploits object boundary cues through…

Computer Vision and Pattern Recognition · Computer Science 2016-08-03 Nick Schneider , Lukas Schneider , Peter Pinggera , Uwe Franke , Marc Pollefeys , Christoph Stiller

Deep functional map frameworks are widely employed for 3D shape matching. However, most existing deep functional map methods cannot adaptively capture important frequency information for functional map estimation in specific matching…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Feifan Luo , Qinsong Li , Ling Hu , Haibo Wang , Xinru Liu , Shengjun Liu , Hongyang Chen

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

Since their introduction in the shape analysis community, functional maps have met with considerable success due to their ability to compactly represent dense correspondences between deformable shapes, with applications ranging from shape…

Computer Vision and Pattern Recognition · Computer Science 2015-06-19 Emanuele Rodolà , Michael Moeller , Daniel Cremers

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

We consider the problem of computing dense correspondences between non-rigid shapes with potentially significant partiality. Existing formulations tackle this problem through heavy manifold optimization in the spectral domain, given…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Souhaib Attaiki , Gautam Pai , Maks Ovsjanikov

Shape matching is a fundamental task in computer graphics and vision, with deep functional maps becoming a prominent paradigm. However, existing methods primarily focus on learning informative feature representations by constraining…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Feifan Luo , Hongyang Chen
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