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Article Dans Une Revue IEEE Transactions on Pattern Analysis and Machine Intelligence Année : 2019

Local Deformable 3D Reconstruction with Cartan's Connections

Résumé

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 nonparametric 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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Dates et versions

hal-04391607 , version 1 (12-01-2024)

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  • HAL Id : hal-04391607 , version 1

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Shaifali Parashar, Daniel Pizarro, Adrien Bartoli. Local Deformable 3D Reconstruction with Cartan's Connections. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2019. ⟨hal-04391607⟩
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