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This communication describes a representation of images as a set of edges characterized by their position and orientation. This representation allows the comparison of two images and the computation of their similarity. The first step in…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Joel Le Roux , Philippe Chaurand , Mickael Urrutia

A rectangle blanket is a set of non-overlapping axis-aligned rectangles, used to approximately represent the two dimensional image of a shape approximately. The use of a rectangle blanket is a widely considered strategy for speeding-up the…

Discrete Mathematics · Computer Science 2019-10-04 Barış Evrim Demiröz , Kuban Altınel , Lale Akarun

A fast algorithm (linear in the degrees of freedom) for the solution of linear variable-coefficient rational-order fractional integral and differential equations is described. The approach is related to the ultraspherical method for…

Numerical Analysis · Mathematics 2017-12-04 Nicholas Hale , Sheehan Olver

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

This paper introduces a novel approach to the fine alignment of images in a burst captured by a handheld camera. In contrast to traditional techniques that estimate two-dimensional transformations between frame pairs or rely on discrete…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Bruno Lecouat , Yann Dubois de Mont-Marin , Théo Bodrito , Julien Mairal , Jean Ponce

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

Computer Vision and Pattern Recognition · Computer Science 2015-03-14 Joseph M. Burdis , Irina A. Kogan

High speed, high-resolution, and accurate 3D scanning would open doors to many new applications in graphics, robotics, science, and medicine by enabling the accurate scanning of deformable objects during interactions. Past attempts to use…

Computer Vision and Pattern Recognition · Computer Science 2025-10-23 Giancarlo Pereira , Yidan Gao , Yurii Piadyk , David Fouhey , Claudio T Silva , Daniele Panozzo

Image reconstruction in X ray tomography consists in determining an object from its projections. In many applications such as non destructive testing, we look for an image who has a constant value inside a region (default) and another…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Mohammad-Djafari

Image convolution is widely used for sharpening, blurring and edge detection. In this paper, we review two common algorithms for convolving a 2D image by a separable kernel (filter). After optimising the naive codes using loop unrolling and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-28 Ashkan Tousimojarad , Wim Vanderbauwhede , W Paul Cockshott

We consider the inverse problem of the broken ray transform (sometimes also referred to as the V-line transform). Explicit image reconstruction formulas are derived and tested numerically. The obtained formulas are generalizations of the…

Mathematical Physics · Physics 2011-01-07 Lucia Florescu , Vadim A. Markel , John C. Schotland

Unsupervised change detection techniques are generally constrained to two multi-band optical images acquired at different times through sensors sharing the same spatial and spectral resolution. This scenario is suitable for a straight…

Image and Video Processing · Electrical Eng. & Systems 2018-04-10 Vinicius Ferraris , Nicolas Dobigeon , Marie Chabert

Line intersection with convex and un-convex polygons or polyhedron algorithms are well known as line clipping algorithms and very often used in computer graphics. Rendering of geometrical problems often leads to ray tracing techniques, when…

Graphics · Computer Science 2022-08-10 Vaclav Skala

In coherent X-ray diffraction microscopy the diffraction pattern generated by a sample illuminated with coherent x-rays is recorded, and a computer algorithm recovers the unmeasured phases to synthesize an image. By avoiding the use of a…

A new procedure aiming at folding a powder diffraction 2-D into a 1-D scan is presented. The technique consists of three steps: tracking the beam centre by means of a Simulated Annealing (SA) of the diffraction rings along the same axis,…

Materials Science · Physics 2008-12-02 Antonio Cervellino , Cinzia Giannini , Antonietta Guagliardi , Massimo Ladisa

Generalized alternating projections is an algorithm that alternates relaxed projections onto a finite number of sets to find a point in their intersection. We consider the special case of two linear subspaces, for which the algorithm…

Optimization and Control · Mathematics 2017-03-31 Mattias Fält , Pontus Giselsson

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Most methods for Bundle Adjustment (BA) in computer vision are either centralized or operate incrementally. This leads to poor scaling and affects the quality of solution as the number of images grows in large scale structure from motion…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Karthikeyan Natesan Ramamurthy , Chung-Ching Lin , Aleksandr Aravkin , Sharath Pankanti , Raphael Viguier

We propose a fully automatic method for fitting a 3D morphable model to single face images in arbitrary pose and lighting. Our approach relies on geometric features (edges and landmarks) and, inspired by the iterated closest point…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Anil Bas , William A. P. Smith , Timo Bolkart , Stefanie Wuhrer

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

Accurate correspondence matching in coronary angiography images is crucial for reconstructing 3D coronary artery structures, which is essential for precise diagnosis and treatment planning of coronary artery disease (CAD). Traditional…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Lin Zhao , Xin Yu , Yikang Liu , Xiao Chen , Eric Z. Chen , Terrence Chen , Shanhui Sun
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