A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers

In this paper, we propose a methodology to solve the stereo matching problem through quantum annealing optimization. Our proposal takes advantage of the existing Min-Cut/Max-Flow network formulation of computer vision problems. Based on this network formulation, we construct a quadratic pseudo-Boole...

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Main Authors: William Cruz-Santos, Salvador E. Venegas-Andraca, Marco Lanzagorta
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/10/786
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author William Cruz-Santos
Salvador E. Venegas-Andraca
Marco Lanzagorta
author_facet William Cruz-Santos
Salvador E. Venegas-Andraca
Marco Lanzagorta
author_sort William Cruz-Santos
collection DOAJ
description In this paper, we propose a methodology to solve the stereo matching problem through quantum annealing optimization. Our proposal takes advantage of the existing Min-Cut/Max-Flow network formulation of computer vision problems. Based on this network formulation, we construct a quadratic pseudo-Boolean function and then optimize it through the use of the D-Wave quantum annealing technology. Experimental validation using two kinds of stereo pair of images, random dot stereograms and gray-scale, shows that our methodology is effective.
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spelling doaj.art-7152733310ea4f13aa198384ed7cd1042022-12-22T04:25:12ZengMDPI AGEntropy1099-43002018-10-01201078610.3390/e20100786e20100786A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum AnnealersWilliam Cruz-Santos0Salvador E. Venegas-Andraca1Marco Lanzagorta2CU-UAEM Valle de Chalco, Hermenegildo Galeana 3, Valle de Chalco 56615, Estado de México, MexicoTecnologico de Monterrey, Escuela de Ingenieria y Ciencias. Ave., Eugenio Garza Sada 2501, Monterrey 64849, NL, MexicoUS Naval Research Laboratory, 4555 Overlook Ave., SW Washington, DC 20375, USAIn this paper, we propose a methodology to solve the stereo matching problem through quantum annealing optimization. Our proposal takes advantage of the existing Min-Cut/Max-Flow network formulation of computer vision problems. Based on this network formulation, we construct a quadratic pseudo-Boolean function and then optimize it through the use of the D-Wave quantum annealing technology. Experimental validation using two kinds of stereo pair of images, random dot stereograms and gray-scale, shows that our methodology is effective.http://www.mdpi.com/1099-4300/20/10/786quantum annealingstereo matchingquantum algorithms
spellingShingle William Cruz-Santos
Salvador E. Venegas-Andraca
Marco Lanzagorta
A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers
Entropy
quantum annealing
stereo matching
quantum algorithms
title A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers
title_full A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers
title_fullStr A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers
title_full_unstemmed A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers
title_short A QUBO Formulation of the Stereo Matching Problem for D-Wave Quantum Annealers
title_sort qubo formulation of the stereo matching problem for d wave quantum annealers
topic quantum annealing
stereo matching
quantum algorithms
url http://www.mdpi.com/1099-4300/20/10/786
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