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231225s2020 xx |||||o 00| ||eng c |
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|a 10.1109/TPAMI.2019.2920821
|2 doi
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|a pubmed24n0993.xml
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|a eng
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| 100 |
1 |
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|a Parashar, Shaifali
|e verfasserin
|4 aut
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| 245 |
1 |
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|a Local Deformable 3D Reconstruction with Cartan's Connections
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|c 2020
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
|b c
|2 rdamedia
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| 338 |
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|a ƒa Online-Ressource
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|2 rdacarrier
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|a Date Revised 04.11.2020
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|a published: Print-Electronic
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|a Citation Status PubMed-not-MEDLINE
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| 520 |
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|a 3D reconstruction of deformable objects using inter-image visual motion from monocular images has been studied under Shape-from-Template (SfT) and Non-Rigid Structure-from-Motion (NRSfM). Most methods have been developed for simple deformation models, primarily isometry. They may treat a surface as a discrete set of points and draw constraints from the points only or they may use a non-parametric representation and use both points and differentials to express constraints. We propose a differential framework based on Cartan's theory of connections and moving frames. It is applicable to SfT and NRSfM, and to deformation models other than isometry. It utilises infinitesimal-level assumptions on the surface's geometry and mappings. It has the following properties. 1) It allows one to derive existing solutions in a simpler way. 2) It models SfT and NRSfM in a unified way. 3) It allows us to introduce a new skewless deformation model and solve SfT and NRSfM for it. 4) It facilitates a generic solution to SfT which does not require deformation modeling. Our framework is complete: it solves deformable 3D reconstruction for a whole class of algebraic deformation models including isometry. We compared our solutions with the state-of-the-art methods and show that ours outperform in terms of both accuracy and computation time
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| 650 |
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|a Journal Article
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| 700 |
1 |
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|a Pizarro, Daniel
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Bartoli, Adrien
|e verfasserin
|4 aut
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| 773 |
0 |
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|i Enthalten in
|t IEEE transactions on pattern analysis and machine intelligence
|d 1979
|g 42(2020), 12 vom: 01. Dez., Seite 3011-3026
|w (DE-627)NLM098212257
|x 1939-3539
|7 nnns
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| 773 |
1 |
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|g volume:42
|g year:2020
|g number:12
|g day:01
|g month:12
|g pages:3011-3026
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| 856 |
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|u http://dx.doi.org/10.1109/TPAMI.2019.2920821
|3 Volltext
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|d 42
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