FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949503057> ?p ?o ?g. }

• W2949503057 abstract "Consider the problem of registering multiple point sets in some $d$-dimensional space using rotations and translations. Assume that there are sets with common points, and moreover the pairwise correspondences are known for such sets. We consider a least-squares formulation of this problem, where the variables are the transforms associated with the point sets. The present novelty is that we reduce this nonconvex problem to an optimization over the positive semidefinite cone, where the objective is linear but the constraints are nevertheless nonconvex. We propose to solve this using variable splitting and the alternating directions method of multipliers (ADMM). Due to the linearity of the objective and the structure of constraints, the ADMM subproblems are given by projections with closed-form solutions. In particular, for $m$ point sets, the dominant cost per iteration is the partial eigendecomposition of an $md times md$ matrix, and $m-1$ singular value decompositions of $d times d$ matrices. We empirically show that for appropriate parameter settings, the proposed solver has a large convergence basin and is stable under perturbations. As applications, we use our method for $2$D shape matching and $3$D multiview registration. In either application, we model the shapes/scans as point sets and determine the pairwise correspondences using ICP. In particular, our algorithm compares favorably with existing methods for multiview reconstruction in terms of timing and accuracy." @default.
• W2949503057 created "2019-06-27" @default.
• W2949503057 creator A5006808473 @default.
• W2949503057 creator A5013491266 @default.
• W2949503057 creator A5045035201 @default.
• W2949503057 date "2019-04-08" @default.
• W2949503057 modified "2023-10-16" @default.
• W2949503057 title "Least-squares registration of point sets over SE (d) using closed-form projections." @default.
• W2949503057 cites W131996945 @default.
• W2949503057 cites W1602060479 @default.
• W2949503057 cites W1804110266 @default.
• W2949503057 cites W1840498204 @default.
• W2949503057 cites W1900151113 @default.
• W2949503057 cites W1973408211 @default.
• W2949503057 cites W1982452826 @default.
• W2949503057 cites W1999284314 @default.
• W2949503057 cites W2004026774 @default.
• W2949503057 cites W2006187380 @default.
• W2949503057 cites W2009422376 @default.
• W2949503057 cites W2013973734 @default.
• W2949503057 cites W2026676075 @default.
• W2949503057 cites W2049981393 @default.
• W2949503057 cites W2057175746 @default.
• W2949503057 cites W2060318245 @default.
• W2949503057 cites W2061010610 @default.
• W2949503057 cites W2062810659 @default.
• W2949503057 cites W2104673011 @default.
• W2949503057 cites W2107528150 @default.
• W2949503057 cites W2109323956 @default.
• W2949503057 cites W2118026950 @default.
• W2949503057 cites W2119851068 @default.
• W2949503057 cites W2122142035 @default.
• W2949503057 cites W2122665101 @default.
• W2949503057 cites W2124464760 @default.
• W2949503057 cites W2125989410 @default.
• W2949503057 cites W2128019145 @default.
• W2949503057 cites W2128251042 @default.
• W2949503057 cites W2128364612 @default.
• W2949503057 cites W2136567909 @default.
• W2949503057 cites W2143133882 @default.
• W2949503057 cites W2155094592 @default.
• W2949503057 cites W2164278908 @default.
• W2949503057 cites W2165987118 @default.
• W2949503057 cites W2179953806 @default.
• W2949503057 cites W2295652899 @default.
• W2949503057 cites W2344109021 @default.
• W2949503057 cites W2520913206 @default.
• W2949503057 cites W2607116528 @default.
• W2949503057 cites W2755741129 @default.
• W2949503057 cites W2798909945 @default.
• W2949503057 cites W2950970389 @default.
• W2949503057 cites W2962853966 @default.
• W2949503057 cites W2963381078 @default.
• W2949503057 cites W3099470093 @default.
• W2949503057 cites W648588459 @default.
• W2949503057 hasPublicationYear "2019" @default.
• W2949503057 type Work @default.
• W2949503057 sameAs 2949503057 @default.
• W2949503057 citedByCount "0" @default.
• W2949503057 crossrefType "posted-content" @default.
• W2949503057 hasAuthorship W2949503057A5006808473 @default.
• W2949503057 hasAuthorship W2949503057A5013491266 @default.
• W2949503057 hasAuthorship W2949503057A5045035201 @default.
• W2949503057 hasConcept C105795698 @default.
• W2949503057 hasConcept C11413529 @default.
• W2949503057 hasConcept C126255220 @default.
• W2949503057 hasConcept C162324750 @default.
• W2949503057 hasConcept C165064840 @default.
• W2949503057 hasConcept C184898388 @default.
• W2949503057 hasConcept C22789450 @default.
• W2949503057 hasConcept C2777303404 @default.
• W2949503057 hasConcept C2778770139 @default.
• W2949503057 hasConcept C28826006 @default.
• W2949503057 hasConcept C33923547 @default.
• W2949503057 hasConcept C50522688 @default.
• W2949503057 hasConceptScore W2949503057C105795698 @default.
• W2949503057 hasConceptScore W2949503057C11413529 @default.
• W2949503057 hasConceptScore W2949503057C126255220 @default.
• W2949503057 hasConceptScore W2949503057C162324750 @default.
• W2949503057 hasConceptScore W2949503057C165064840 @default.
• W2949503057 hasConceptScore W2949503057C184898388 @default.
• W2949503057 hasConceptScore W2949503057C22789450 @default.
• W2949503057 hasConceptScore W2949503057C2777303404 @default.
• W2949503057 hasConceptScore W2949503057C2778770139 @default.
• W2949503057 hasConceptScore W2949503057C28826006 @default.
• W2949503057 hasConceptScore W2949503057C33923547 @default.
• W2949503057 hasConceptScore W2949503057C50522688 @default.
• W2949503057 hasLocation W29495030571 @default.
• W2949503057 hasOpenAccess W2949503057 @default.
• W2949503057 hasPrimaryLocation W29495030571 @default.
• W2949503057 hasRelatedWork W1711895247 @default.
• W2949503057 hasRelatedWork W1989836177 @default.
• W2949503057 hasRelatedWork W2003612343 @default.
• W2949503057 hasRelatedWork W2005382299 @default.
• W2949503057 hasRelatedWork W2006187380 @default.
• W2949503057 hasRelatedWork W2038996541 @default.
• W2949503057 hasRelatedWork W2056218782 @default.
• W2949503057 hasRelatedWork W2083600813 @default.
• W2949503057 hasRelatedWork W2109323956 @default.
• W2949503057 hasRelatedWork W2370902052 @default.

• next