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Authors: Barath Daniel 1 ; Jozsef Molnar 2 and Levente Hajder 1

Affiliations: 1 MTA SZTAKI and University of Szeged, Hungary ; 2 University of Szeged, Hungary

Keyword(s): 3D Reconstruction, Normal Estimation, Calibrated Stereo Images.

Related Ontology Subjects/Areas/Topics: Applications ; Computer Vision, Visualization and Computer Graphics ; Features Extraction ; Geometry and Modeling ; Image and Video Analysis ; Image-Based Modeling ; Motion, Tracking and Stereo Vision ; Pattern Recognition ; Software Engineering ; Stereo Vision and Structure from Motion

Abstract: This paper deals with surface normal estimation from calibrated stereo images. We show here how the affine transformation between two projections defines the surface normal of a 3D planar patch. We give a formula that describes the relationship of surface normals, camera projections, and affine transformations. This formula is general since it works for every kind of cameras. We propose novel methods for estimating the normal of a surface patch if the affine transformation is known between two perspective images. We show here that the normal vector can be optimally estimated if the projective depth of the patch is known. Other non-optimal methods are also introduced for the problem. The proposed methods are tested both on synthesized data and images of real-world 3D objects.

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Paper citation in several formats:
Daniel, B.; Molnar, J. and Hajder, L. (2015). Optimal Surface Normal from Affine Transformation. In Proceedings of the 10th International Conference on Computer Vision Theory and Applications (VISIGRAPP 2015) - Volume 1: VISAPP; ISBN 978-989-758-091-8; ISSN 2184-4321, SciTePress, pages 305-316. DOI: 10.5220/0005303703050316

@conference{visapp15,
author={Barath Daniel. and Jozsef Molnar. and Levente Hajder.},
title={Optimal Surface Normal from Affine Transformation},
booktitle={Proceedings of the 10th International Conference on Computer Vision Theory and Applications (VISIGRAPP 2015) - Volume 1: VISAPP},
year={2015},
pages={305-316},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005303703050316},
isbn={978-989-758-091-8},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Vision Theory and Applications (VISIGRAPP 2015) - Volume 1: VISAPP
TI - Optimal Surface Normal from Affine Transformation
SN - 978-989-758-091-8
IS - 2184-4321
AU - Daniel, B.
AU - Molnar, J.
AU - Hajder, L.
PY - 2015
SP - 305
EP - 316
DO - 10.5220/0005303703050316
PB - SciTePress

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