Optimal surface normal from affine transformation

Baráth, Dániel and Molnár, József and Hajder, Levente (2015) Optimal surface normal from affine transformation. In: International Conference on Computer Vision Theory and Applications. SciTePress, Berlin, pp. 305-316. ISBN 978-989758091-8

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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.

Item Type: Book Section
Uncontrolled Keywords: Stereo image processing; Surface normal estimation; Stereo-image; Projective depth; Perspective image; Camera projection; Affine transformations; image reconstruction; image processing; Computer vision; Cameras; CALIBRATION; Normal estimation; Calibrated stereo images; 3D reconstruction
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: Geometric Modelling and Computer Vision Laboratory
SWORD Depositor: MTMT Injector
Depositing User: MTMT Injector
Date Deposited: 31 Jan 2016 08:38
Last Modified: 31 Jan 2016 08:38
URI: https://eprints.sztaki.hu/id/eprint/8555

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