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A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

The local arrangement of atoms is one of the most important predictors of mechanical and functional properties of materials. However, algorithms for identifying the geometrical arrangements of atoms in complex materials systems are lacking.…

Materials Science · Physics 2019-04-15 Arash Dehghan Banadaki , Jason J. Maldonis , Paul M. Voyles , Srikanth Patala

We address the inverse problem that arises in compressed sensing of a low-rank matrix. Our approach is to pose the inverse problem as an approximation problem with a specified target rank of the solution. A simple search over the target…

Numerical Analysis · Mathematics 2009-06-15 Kiryung Lee , Yoram Bresler

We present a permutation-invariant distance between atomic configurations, defined through a functional representation of atomic positions. This distance enables to directly compare different atomic environments with an arbitrary number of…

Materials Science · Physics 2015-09-30 Gregoire Ferre , Jean-Bernard Maillet , Gabriel Stoltz

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Zorah Lähner , Johan Thunberg , Daniel Cremers , Florian Bernard

We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backprojector pair; i.e., the backprojector is not the exact…

Numerical Analysis · Mathematics 2019-02-14 Yiqiu Dong , Per Christian Hansen , Michiel E. Hochstenbach , Nicolai Andre Brogaard Riis

Fitting autoregressive moving average (ARMA) time series models requires model identification before parameter estimation. Model identification involves determining the order of the autoregressive and moving average components which is…

Computation · Statistics 2024-04-09 Yin Liu , Sam Davanloo Tajbakhsh

We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Zorah Lähner , Matthias Vestner , Amit Boyarski , Or Litany , Ron Slossberg , Tal Remez , Emanuele Rodolà , Alex Bronstein , Michael Bronstein , Ron Kimmel , Daniel Cremers

We present a novel sparse modeling approach to non-rigid shape matching using only the ability to detect repeatable regions. As the input to our algorithm, we are given only two sets of regions in two shapes; no descriptors are provided so…

Graphics · Computer Science 2012-10-01 J. Pokrass , A. M. Bronstein , M. M. Bronstein , P. Sprechmann , G. Sapiro

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh

Many standard structural quantities, such as order parameters and correlation functions, exist for common condensed matter systems, such as spherical and rod-like particles. However, these structural quantities are often insufficient for…

Soft Condensed Matter · Physics 2012-01-18 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

Matching deformable objects using their shapes is an important problem in computer vision since shape is perhaps the most distinguishable characteristic of an object. The problem is difficult due to many factors such as intra-class…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Smit Marvaniya , Raj Gupta , Anurag Mittal

Programmable arrays of optical traps enable the assembly of configurations of single atoms to perform controlled experiments on quantum many-body systems. Finding the sequence of control operations to transform an arbitrary configuration of…

Conventional radar feature extraction faces limitations due to low spatial resolution, noise, multipath reflection, the presence of ghost targets, and motion blur. Such limitations can be exacerbated by nonlinear object motion, particularly…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Ryoma Yataka , Pu Perry Wang , Petros Boufounos , Ryuhei Takahashi

Point Group (PG) symmetries play a fundamental role in many aspects of theoretical chemistry and computational materials science. With the objective to automatize the search of PG symmetry operations of generic atomic clusters, we present a…

Computational Physics · Physics 2024-08-14 Miha Gunde , Nicolas Salles , Luca Grisanti , Layla Martin-Samos , Anne Hemeryck

We present a convex mixed-integer programming formulation for non-rigid shape matching. To this end, we propose a novel shape deformation model based on an efficient low-dimensional discrete model, so that finding a globally optimal…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Florian Bernard , Zeeshan Khan Suri , Christian Theobalt

In this paper we propose a fully automatic method for shape correspondence that is widely applicable, and especially effective for non isometric shapes and shapes of different topology. We observe that fully-automatic shape correspondence…

Graphics · Computer Science 2020-08-26 Michal Edelstein , Danielle Ezuz , Mirela Ben-Chen

The choice of structural resolution is a fundamental aspect of protein modelling, determining the balance between descriptive power and interpretability. Although atomistic simulations provide maximal detail, much of this information is…

Biomolecules · Quantitative Biology 2025-10-23 Margherita Mele , Raffaele Fiorentini , Thomas Tarenzi , Giovanni Mattiotti , Raffaello Potestio

The alignment of two similar graphs from different domains is a well-studied problem. In many practical usages, there is no reliable information or labels over the vertices or edges, leaving structural similarity as the only information…

Social and Information Networks · Computer Science 2022-08-22 Barak Babayov , Yoram Louzoun

The question of interest in the present study is: ``Given a body subject to mechanical loads, how to define the initial geometry so that the deformed one matches precisely a prescribed shape?'' This question is particularly relevant in…

Optimization and Control · Mathematics 2007-05-23 M. Sellier
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