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Related papers: Sparse Modeling of Intrinsic Correspondences

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We consider the irregular strip packing problem of rasterized shapes, where a given set of pieces of irregular shapes represented in pixels should be placed into a rectangular container without overlap. The rasterized shapes provide simple…

Computational Geometry · Computer Science 2022-03-23 Shunji Umetani , Shohei Murakami

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

Numerical Analysis · Computer Science 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

A large number of image super resolution algorithms based on the sparse coding are proposed, and some algorithms realize the multi-frame super resolution. In multi-frame super resolution based on the sparse coding, both accurate image…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Toshiyuki Kato , Hideitsu Hino , Noboru Murata

We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems: estimating both the angle-of-arrival of a radio wave…

Analysis of PDEs · Mathematics 2020-10-19 Isaac Harris , Jacob D Rezac

Sparse coding is a class of unsupervised methods for learning a sparse representation of the input data in the form of a linear combination of a dictionary and a sparse code. This learning framework has led to state-of-the-art results in…

Machine Learning · Computer Science 2021-09-01 Ye Xue , Vincent Lau , Songfu Cai

Inverse modeling for computing a high-dimensional spatially-varying property field from indirect sparse and noisy observations is a challenging problem. This is due to the complex physical system of interest often expressed in the form of…

Computational Physics · Physics 2021-02-22 Govinda Anantha Padmanabha , Nicholas Zabaras

An important operation in geometry processing is finding the correspondences between pairs of shapes. The Gromov-Hausdorff distance, a measure of dissimilarity between metric spaces, has been found to be highly useful for nonrigid shape…

Computer Vision and Pattern Recognition · Computer Science 2013-11-25 Alon Shtern , Ron Kimmel

Given an overcomplete dictionary $A$ and a signal $b$ that is a linear combination of a few linearly independent columns of $A$, classical sparse recovery theory deals with the problem of recovering the unique sparse representation $x$ such…

Machine Learning · Statistics 2015-07-07 C. You , R. Vidal

We propose an algorithm for rotational sparse coding along with an efficient implementation using steerability. Sparse coding (also called dictionary learning) is an important technique in image processing, useful in inverse problems,…

Image and Video Processing · Electrical Eng. & Systems 2020-01-31 Michael T. McCann , Vincent Andrearczyk , Michael Unser , Adrien Depeursinge

Shape matching has been a long-studied problem for the computer graphics and vision community. The objective is to predict a dense correspondence between meshes that have a certain degree of deformation. Existing methods either consider the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-04 Mahdi Saleh , Shun-Cheng Wu , Luca Cosmo , Nassir Navab , Benjamin Busam , Federico Tombari

Learning 3D shape representation with dense correspondence for deformable objects is a fundamental problem in computer vision. Existing approaches often need additional annotations of specific semantic domain, e.g., skeleton poses for human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Baowen Zhang , Jiahe Li , Xiaoming Deng , Yinda Zhang , Cuixia Ma , Hongan Wang

We formulate as an inverse problem the construction of sparse parametric continuous curve models that fit a sequence of contour points. Our prior is incorporated as a regularization term that encourages rotation invariance and sparsity. We…

Image and Video Processing · Electrical Eng. & Systems 2022-06-28 Icíar Lloréns Jover , Thomas Debarre , Shayan Aziznejad , Michael Unser

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

Information Theory · Computer Science 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

Successful applications of sparse models in computer vision and machine learning imply that in many real-world applications, high dimensional data is distributed in a union of low dimensional subspaces. Nevertheless, the underlying…

Computer Vision and Pattern Recognition · Computer Science 2014-04-22 Xiao Bian , Hamid Krim

We frame the task of predicting a semantic labeling as a sparse reconstruction procedure that applies a target-specific learned transfer function to a generic deep sparse code representation of an image. This strategy partitions training…

Computer Vision and Pattern Recognition · Computer Science 2014-10-17 Michael Maire , Stella X. Yu , Pietro Perona

Demixing problems in many areas such as hyperspectral imaging and differential optical absorption spectroscopy (DOAS) often require finding sparse nonnegative linear combinations of dictionary elements that match observed data. We show how…

Machine Learning · Statistics 2013-01-04 Ernie Esser , Yifei Lou , Jack Xin

Distributional models provide a convenient way to model semantics using dense embedding spaces derived from unsupervised learning algorithms. However, the dimensions of dense embedding spaces are not designed to resemble human semantic…

Computation and Language · Computer Science 2018-11-15 Steven Derby , Paul Miller , Brian Murphy , Barry Devereux

We propose a fast, accurate matching method for estimating dense pixel correspondences across scenes. It is a challenging problem to estimate dense pixel correspondences between images depicting different scenes or instances of the same…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Chao Zhang , Chunhua Shen , Tingzhi Shen

We examine in this paper the problem of image registration from the new perspective where images are given by sparse approximations in parametric dictionaries of geometric functions. We propose a registration algorithm that looks for an…

Computer Vision and Pattern Recognition · Computer Science 2013-12-31 Alhussein Fawzi , Pascal Frossard

Inverse problems are fundamental to many scientific and engineering disciplines; they arise when one seeks to reconstruct hidden, underlying quantities from noisy measurements. Many applications demand not just point estimates but…

Machine Learning · Computer Science 2026-02-11 Jack Michael Solomon , Rishi Leburu , Matthias Chung