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Related papers: Sparse Modeling of Intrinsic Correspondences

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In compressed sensing, we wish to reconstruct a sparse signal $x$ from observed data $y$. In sparse coding, on the other hand, we wish to find a representation of an observed signal $y$ as a sparse linear combination, with coefficients $x$,…

Computer Vision and Pattern Recognition · Computer Science 2013-11-25 Will Landecker , Rick Chartrand , Simon DeDeo

Two complementary approaches have been extensively used in signal and image processing leading to novel results, the sparse representation methodology and the variational strategy. Recently, a new sparsity based model has been proposed, the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-17 Raja Giryes , Michael Elad , Alfred M. Bruckstein

The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Feng Liu , Xiaoming Liu

Sparse coding algorithm is an learning algorithm mainly for unsupervised feature for finding succinct, a little above high - level Representation of inputs, and it has successfully given a way for Deep learning. Our objective is to use High…

Machine Learning · Computer Science 2014-04-08 R. Vidya , Dr. G. M. Nasira , R. P. Jaia Priyankka

Existing techniques for motion imitation often suffer a certain level of latency due to their computational overhead or a large set of correspondence samples to search. To achieve real-time imitation with small latency, we present a…

Robotics · Computer Science 2016-07-26 Shuo Jin , Chengkai Dai , Yang Liu , Charlie C. L. Wang

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

We demonstrate that sub-wavelength optical images borne on partially-spatially-incoherent light can be recovered, from their far-field or from the blurred image, given the prior knowledge that the image is sparse, and only that. The…

Information Theory · Computer Science 2015-05-27 Yoav Shechtman , Yonina C. Eldar , Alexander Szameit , Mordechai Segev

Sparse non-Hermitian random matrices arise in the study of disordered physical systems with asymmetric local interactions, and have applications ranging from neural networks to ecosystem dynamics. The spectral characteristics of these…

Statistical Mechanics · Physics 2024-02-21 Fernando Lucas Metz , Izaak Neri , Tim Rogers

The problem of how to find a sparse representation of a signal is an important one in applied and computational harmonic analysis. It is closely related to the problem of how to reconstruct a sparse vector from its projection in a much…

Functional Analysis · Mathematics 2018-04-13 Enrico Au-Yeung

The discovery of the theory of compressed sensing brought the realisation that many inverse problems can be solved even when measurements are "incomplete". This is particularly interesting in magnetic resonance imaging (MRI), where long…

The success of many computer vision tasks lies in the ability to exploit the interdependency between different image modalities such as intensity and depth. Fusing corresponding information can be achieved on several levels, and one…

Computer Vision and Pattern Recognition · Computer Science 2014-06-26 Martin Kiechle , Tim Habigt , Simon Hawe , Martin Kleinsteuber

We present a new generalizable NeRF method that is able to directly generalize to new unseen scenarios and perform novel view synthesis with as few as two source views. The key to our approach lies in the explicitly modeled correspondence…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Yuedong Chen , Haofei Xu , Qianyi Wu , Chuanxia Zheng , Tat-Jen Cham , Jianfei Cai

A comprehensive framework for detection and characterization of overlapping intrinsic symmetry over 3D shapes is proposed. To identify prominent symmetric regions which overlap in space and vary in form, the proposed framework is decoupled…

Graphics · Computer Science 2013-10-01 Anirban Mukhopadhyay , Suchendra M. Bhandarkar , Fatih Porikli

Reliably reconstructing physical fields from sparse sensor data is a challenge that frequently arises in many scientific domains. In practice, the process generating the data often is not understood to sufficient accuracy. Therefore, there…

Machine Learning · Computer Science 2024-01-23 Xihaier Luo , Wei Xu , Yihui Ren , Shinjae Yoo , Balu Nadiga

Convolutional Sparse Coding (CSC) is an increasingly popular model in the signal and image processing communities, tackling some of the limitations of traditional patch-based sparse representations. Although several works have addressed the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Vardan Papyan , Yaniv Romano , Jeremias Sulam , Michael Elad

Signal models formed as linear combinations of few atoms from an over-complete dictionary or few frame vectors from a redundant frame have become central to many applications in high dimensional signal processing and data analysis. A core…

Information Theory · Computer Science 2024-08-30 Xuemei Chen , Christian Kümmerle , Rongrong Wang

Demixing refers to the challenge of identifying two structured signals given only the sum of the two signals and prior information about their structures. Examples include the problem of separating a signal that is sparse with respect to…

Information Theory · Computer Science 2015-03-20 Michael B. McCoy , Joel A. Tropp

We propose a novel mixed-integer programming (MIP) formulation for generating precise sparse correspondences for highly non-rigid shapes. To this end, we introduce a projected Laplace-Beltrami operator (PLBO) which combines intrinsic and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Paul Roetzer , Marvin Eisenberger , Zorah Lähner , Michael Moeller , Daniel Cremers , Florian Bernard

Learning expressive representations for high-dimensional yet sparse features has been a longstanding problem in information retrieval. Though recent deep learning methods can partially solve the problem, they often fail to handle the…

Information Retrieval · Computer Science 2023-05-30 Kaize Ding , Albert Jiongqian Liang , Bryan Perrozi , Ting Chen , Ruoxi Wang , Lichan Hong , Ed H. Chi , Huan Liu , Derek Zhiyuan Cheng

Convolutional sparse representations are a form of sparse representation with a dictionary that has a structure that is equivalent to convolution with a set of linear filters. While effective algorithms have recently been developed for the…

Machine Learning · Computer Science 2018-09-06 Cristina Garcia-Cardona , Brendt Wohlberg