3D shape recognition and reconstruction based on line element geometry

M. Hofer; B. Odehnal; H. Pottmann; T. Steiner; J. Wallner

doi:10.1109/ICCV.2005.2

3D shape recognition and reconstruction based on line element geometry

M. Hofer^*, B. Odehnal, H. Pottmann, T. Steiner, J. Wallner

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

39 Scopus citations

Abstract

This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rotational surfaces, cylinders, etc.) by fitting linear subspaces in an appropriate seven-dimensional image space. In combination with standard techniques such as PCA and RANSAC, line element geometry is employed to effectively perform the segmentation of complex objects according to surface type. Examples show applications in reverse engineering of CAD models and testing mathematical hypotheses concerning the exponential growth of sea shells.

Original language	English (US)
Title of host publication	Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005
Pages	1532-1538
Number of pages	7
Volume	II
DOIs	https://doi.org/10.1109/ICCV.2005.2
State	Published - 2005
Externally published	Yes
Event	Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005 - Beijing, China Duration: Oct 17 2005 → Oct 20 2005

Other

Other	Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005
Country/Territory	China
City	Beijing
Period	10/17/05 → 10/20/05

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition

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10.1109/ICCV.2005.2

Cite this

@inproceedings{0267bb85b1564927925f35bf804733b3,

title = "3D shape recognition and reconstruction based on line element geometry",

abstract = "This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rotational surfaces, cylinders, etc.) by fitting linear subspaces in an appropriate seven-dimensional image space. In combination with standard techniques such as PCA and RANSAC, line element geometry is employed to effectively perform the segmentation of complex objects according to surface type. Examples show applications in reverse engineering of CAD models and testing mathematical hypotheses concerning the exponential growth of sea shells.",

author = "M. Hofer and B. Odehnal and H. Pottmann and T. Steiner and J. Wallner",

year = "2005",

doi = "10.1109/ICCV.2005.2",

language = "English (US)",

isbn = "076952334X",

volume = "II",

pages = "1532--1538",

booktitle = "Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005",

note = "Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005 ; Conference date: 17-10-2005 Through 20-10-2005",

}

Hofer, M, Odehnal, B, Pottmann, H, Steiner, T & Wallner, J 2005, 3D shape recognition and reconstruction based on line element geometry. in Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005. vol. II, 1544899, pp. 1532-1538, Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005, Beijing, China, 10/17/05. https://doi.org/10.1109/ICCV.2005.2

TY - GEN

T1 - 3D shape recognition and reconstruction based on line element geometry

AU - Hofer, M.

AU - Odehnal, B.

AU - Pottmann, H.

AU - Steiner, T.

AU - Wallner, J.

PY - 2005

Y1 - 2005

N2 - This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rotational surfaces, cylinders, etc.) by fitting linear subspaces in an appropriate seven-dimensional image space. In combination with standard techniques such as PCA and RANSAC, line element geometry is employed to effectively perform the segmentation of complex objects according to surface type. Examples show applications in reverse engineering of CAD models and testing mathematical hypotheses concerning the exponential growth of sea shells.

AB - This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rotational surfaces, cylinders, etc.) by fitting linear subspaces in an appropriate seven-dimensional image space. In combination with standard techniques such as PCA and RANSAC, line element geometry is employed to effectively perform the segmentation of complex objects according to surface type. Examples show applications in reverse engineering of CAD models and testing mathematical hypotheses concerning the exponential growth of sea shells.

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U2 - 10.1109/ICCV.2005.2

DO - 10.1109/ICCV.2005.2

M3 - Conference contribution

AN - SCOPUS:33744794170

SN - 076952334X

SN - 9780769523347

VL - II

SP - 1532

EP - 1538

BT - Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005

T2 - Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005

Y2 - 17 October 2005 through 20 October 2005

ER -

3D shape recognition and reconstruction based on line element geometry

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