Monocular template-based reconstruction of smooth and inextensible surfaces

Florent Brunet, Richard Hartley, Adrien Bartoli, Nassir Navab, Remy Malgouyres

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

26 Scopus citations


We present different approaches to reconstructing an inextensible surface from point correspondences between an input image and a template image representing a flat reference shape from a fronto-parallel point of view. We first propose a 'point-wise' method, i.e. a method that only retrieves the 3D positions of the point correspondences. This method is formulated as a second-order cone program and it handles inaccuracies in the point measurements. It relies on the fact that the Euclidean distance between two 3D points must be shorter than their geodesic distance (which can easily be computed from the template image). We then present an approach that reconstructs a smooth 3D surface based on Free-Form Deformations. The surface is represented as a smooth map from the template image space to the 3D space. Our idea is to say that the 2D-3D map must be everywhere a local isometry. This induces conditions on the Jacobian matrix of the map which are included in a least-squares minimization problem.

Original languageEnglish
Title of host publicationComputer Vision, ACCV 2010 - 10th Asian Conference on Computer Vision, Revised Selected Papers
Number of pages15
EditionPART 3
StatePublished - 2011
Event10th Asian Conference on Computer Vision, ACCV 2010 - Queenstown, New Zealand
Duration: 8 Nov 201012 Nov 2010

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 3
Volume6494 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference10th Asian Conference on Computer Vision, ACCV 2010
Country/TerritoryNew Zealand


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