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Fast and Accurate Surface Normal Integration on Non-Rectangular Domains

Bähr, Martin and Breuss, Michael and Quéau, Yvain and Boroujerdi, Ali Sharifi and Durou, Jean-Denis Fast and Accurate Surface Normal Integration on Non-Rectangular Domains. (2017) Computational Visual Media, 3 (2). 107-129. ISSN 2096-0433

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Official URL: https://doi.org/10.1007/s41095-016-0075-z

Abstract

The integration of surface normals for the purpose of computing the shape of a surface in 3D space is a classic problem in computer vision. However, even nowadays it is still a challenging task to devise a method that is flexible enough to work on non-trivial computational domains with high accuracy, robustness, and computational efficiency. By uniting a classic approach for surface normal integration with modern computational techniques, we construct a solver that fulfils these requirements. Building upon the Poisson integration model, we use an iterative Krylov subspace solver as a core step in tackling the task. While such a method can be very efficient, it may only show its full potential when combined with suitable numerical preconditioning and problem-specific initialisation. We perform a thorough numerical study in order to identify an appropriate preconditioner for this purpose. To provide suitable initialisation, we compute this initial state using a recently developed fast marching integrator. Detailed numerical experiments illustrate the benefits of this novel combination. In addition, we show on real-world photometric stereo datasets that the developed numerical framework is flexible enough to tackle modern computer vision applications.

Item Type:Article
Additional Information:Computational Visual Media ISSN: 2096-0433 https://link.springer.com/article/10.1007/s41095-016-0075-z
HAL Id:hal-01712543
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Brandenburgische Technische Universität Cottbus-Senftenberg - BTU (GERMANY)
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Deposited By: IRIT IRIT
Deposited On:01 Feb 2018 14:49

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