IEEE Trans Pattern Anal Mach Intell - Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision.

Tópicos

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{ result(1111) use(1088) new(759) }
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{ patient(2837) hospit(1953) medic(668) }
{ model(2656) set(1616) predict(1553) }
{ age(1611) year(1155) adult(843) }
{ medic(1828) order(1363) alert(1069) }
{ signal(2180) analysi(812) frequenc(800) }
{ cost(1906) reduc(1198) effect(832) }
{ group(2977) signific(1463) compar(1072) }
{ gene(2352) biolog(1181) express(1162) }
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{ intervent(3218) particip(2042) group(1664) }
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Resumo

We present a method for solving systems of polynomial equations appearing in computer vision. This method is based on polynomial eigenvalue solvers and is more straightforward and easier to implement than the state-of-the-art Gr?bner basis method since eigenvalue problems are well studied, easy to understand, and efficient and robust algorithms for solving these problems are available. We provide a characterization of problems that can be efficiently solved as polynomial eigenvalue problems (PEPs) and present a resultant-based method for transforming a system of polynomial equations to a polynomial eigenvalue problem. We propose techniques that can be used to reduce the size of the computed polynomial eigenvalue problems. To show the applicability of the proposed polynomial eigenvalue method, we present the polynomial eigenvalue solutions to several important minimal relative pose problems.

Resumo Limpo

present method solv system polynomi equat appear comput vision method base polynomi eigenvalu solver straightforward easier implement stateoftheart grbner basi method sinc eigenvalu problem well studi easi understand effici robust algorithm solv problem avail provid character problem can effici solv polynomi eigenvalu problem pep present resultantbas method transform system polynomi equat polynomi eigenvalu problem propos techniqu can use reduc size comput polynomi eigenvalu problem show applic propos polynomi eigenvalu method present polynomi eigenvalu solut sever import minim relat pose problem

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