3D reconstruction of polyhedral objects from single perspective projections using cubic corner

This paper presents a direct method to recover the geometry of the 3D planar polyhedron depicted in a single perspective projection. It first finds the vanishing points and then the focal length, which establishes the linear relationship between a vertex on the image plane and its corresponding poin...

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Main Authors: Fang, Fen, Lee, Yong Tsui
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/97845
http://hdl.handle.net/10220/12212
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-978452020-03-07T13:22:16Z 3D reconstruction of polyhedral objects from single perspective projections using cubic corner Fang, Fen Lee, Yong Tsui School of Mechanical and Aerospace Engineering This paper presents a direct method to recover the geometry of the 3D planar polyhedron depicted in a single perspective projection. It first finds the vanishing points and then the focal length, which establishes the linear relationship between a vertex on the image plane and its corresponding point on the object. The search for vanishing points produces three sets of parallel lines which are mutually orthogonal in 3D. These orthogonal lines enable the automatic identification of a cubic corner, from which the 3D coordinates of the three vertices connected to the corner are derived, thereby establishing the three planes meeting at the corner. After that, the faces and their connectivity, obtained from the line drawing automatically, are utilized to recover the whole 3D object. The algorithm recovers accurate 3D objects from accurate drawings. For inaccurate drawings, such as sketches, the algorithm can recover 3D objects conforming to human perception if the vanishing points and focal length can be established. 2013-07-25T04:39:21Z 2019-12-06T19:47:19Z 2013-07-25T04:39:21Z 2019-12-06T19:47:19Z 2012 2012 Journal Article Fang, F., & Lee, Y. T. (2012). 3D reconstruction of polyhedral objects from single perspective projections using cubic corner. 3D Research, 3(2). 2092-6731 https://hdl.handle.net/10356/97845 http://hdl.handle.net/10220/12212 10.1007/3DRes.02(2012)1 en 3D research © 2012 3D Research Center, Kwangwoon University and Springer.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
description This paper presents a direct method to recover the geometry of the 3D planar polyhedron depicted in a single perspective projection. It first finds the vanishing points and then the focal length, which establishes the linear relationship between a vertex on the image plane and its corresponding point on the object. The search for vanishing points produces three sets of parallel lines which are mutually orthogonal in 3D. These orthogonal lines enable the automatic identification of a cubic corner, from which the 3D coordinates of the three vertices connected to the corner are derived, thereby establishing the three planes meeting at the corner. After that, the faces and their connectivity, obtained from the line drawing automatically, are utilized to recover the whole 3D object. The algorithm recovers accurate 3D objects from accurate drawings. For inaccurate drawings, such as sketches, the algorithm can recover 3D objects conforming to human perception if the vanishing points and focal length can be established.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Fang, Fen
Lee, Yong Tsui
format Article
author Fang, Fen
Lee, Yong Tsui
spellingShingle Fang, Fen
Lee, Yong Tsui
3D reconstruction of polyhedral objects from single perspective projections using cubic corner
author_sort Fang, Fen
title 3D reconstruction of polyhedral objects from single perspective projections using cubic corner
title_short 3D reconstruction of polyhedral objects from single perspective projections using cubic corner
title_full 3D reconstruction of polyhedral objects from single perspective projections using cubic corner
title_fullStr 3D reconstruction of polyhedral objects from single perspective projections using cubic corner
title_full_unstemmed 3D reconstruction of polyhedral objects from single perspective projections using cubic corner
title_sort 3d reconstruction of polyhedral objects from single perspective projections using cubic corner
publishDate 2013
url https://hdl.handle.net/10356/97845
http://hdl.handle.net/10220/12212
_version_ 1681039040333217792