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Authors: Cornelius Wefelscheid ; Tilman Wekel and Olaf Hellwich

Affiliation: Berlin University of Technology, Germany

ISBN: 978-989-8425-47-8

Keyword(s): Rectangle, Quadrangle, Reconstruction, Direct linear transformation, Single view, Perspective projection.

Related Ontology Subjects/Areas/Topics: Applications ; Computer Vision, Visualization and Computer Graphics ; Geometry and Modeling ; Image-Based Modeling ; Pattern Recognition ; Software Engineering

Abstract: 3D reconstruction is an important field in computer vision. Many approaches are based on multiple images of a given scene. Using only one single image is far more challenging. Monocular image reconstruction can still be achieved by using regular and symmetric structures, which often appear in human environment. In this work we derive two schemes to recover 3D rectangles based on their 2D projections. The first method improves a commonly known standard geometric derivation while the second one is a new algebraic solution based on direct linear transformation (DLT). In a second step, the obtained solutions of both methods serve as seeding points for an iterative linear least squares optimization technique. The robustness of the reconstruction to noise is shown. An insightful thought experiment investigates the ambiguity of the rectangle identification. The presented methods have various potential applications which cover a wide range of computer vision topics such as single image based reconstruction, image registration or camera path estimation. (More)

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Paper citation in several formats:
Wefelscheid, C.; Wekel, T. and Hellwich, O. (2011). MONOCULAR RECTANGLE RECONSTRUCTION - Based on Direct Linear Transformation.In Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2011) ISBN 978-989-8425-47-8, pages 271-276. DOI: 10.5220/0003317502710276

@conference{visapp11,
author={Cornelius Wefelscheid. and Tilman Wekel. and Olaf Hellwich.},
title={MONOCULAR RECTANGLE RECONSTRUCTION - Based on Direct Linear Transformation},
booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2011)},
year={2011},
pages={271-276},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003317502710276},
isbn={978-989-8425-47-8},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2011)
TI - MONOCULAR RECTANGLE RECONSTRUCTION - Based on Direct Linear Transformation
SN - 978-989-8425-47-8
AU - Wefelscheid, C.
AU - Wekel, T.
AU - Hellwich, O.
PY - 2011
SP - 271
EP - 276
DO - 10.5220/0003317502710276

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