Describing Surfaces

This paper continues our work on visual representation s of three-dimensional surfaces [Brady and Yuille 1984b]. The theoretical component of our work is a study of classes of surface curves as a source of constraint n the surface on which they lie, and as a basis for describing it. We analyze...

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Main Authors: Brady, Michael, Ponce, Jean, Yuille, Alan, Asada, Haruo
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/5623
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author Brady, Michael
Ponce, Jean
Yuille, Alan
Asada, Haruo
author_facet Brady, Michael
Ponce, Jean
Yuille, Alan
Asada, Haruo
author_sort Brady, Michael
collection MIT
description This paper continues our work on visual representation s of three-dimensional surfaces [Brady and Yuille 1984b]. The theoretical component of our work is a study of classes of surface curves as a source of constraint n the surface on which they lie, and as a basis for describing it. We analyze bounding contours, surface intersections, lines of curvature, and asymptotes. Our experimental work investigates whether the information suggested by our theoretical study can be computed reliably and efficiently. We demonstrate algorithms that compute lines of curvature of a (Gaussian smoothed) surface; determine planar patches and umbilic regions; extract axes of surfaces of revolution and tube surfaces. We report preliminary results on adapting the curvature primal sketch algorithms of Asada and Brady [1984] to detect and describe surface intersections.
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spelling mit-1721.1/56232019-04-12T13:39:45Z Describing Surfaces Brady, Michael Ponce, Jean Yuille, Alan Asada, Haruo computer vision robotics 3-D vision surface description scomputer aided design object recognition This paper continues our work on visual representation s of three-dimensional surfaces [Brady and Yuille 1984b]. The theoretical component of our work is a study of classes of surface curves as a source of constraint n the surface on which they lie, and as a basis for describing it. We analyze bounding contours, surface intersections, lines of curvature, and asymptotes. Our experimental work investigates whether the information suggested by our theoretical study can be computed reliably and efficiently. We demonstrate algorithms that compute lines of curvature of a (Gaussian smoothed) surface; determine planar patches and umbilic regions; extract axes of surfaces of revolution and tube surfaces. We report preliminary results on adapting the curvature primal sketch algorithms of Asada and Brady [1984] to detect and describe surface intersections. 2004-10-01T20:17:21Z 2004-10-01T20:17:21Z 1985-01-01 AIM-822 http://hdl.handle.net/1721.1/5623 en_US AIM-822 33 p. 5907177 bytes 4631775 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle computer vision
robotics
3-D vision
surface description
scomputer aided design
object recognition
Brady, Michael
Ponce, Jean
Yuille, Alan
Asada, Haruo
Describing Surfaces
title Describing Surfaces
title_full Describing Surfaces
title_fullStr Describing Surfaces
title_full_unstemmed Describing Surfaces
title_short Describing Surfaces
title_sort describing surfaces
topic computer vision
robotics
3-D vision
surface description
scomputer aided design
object recognition
url http://hdl.handle.net/1721.1/5623
work_keys_str_mv AT bradymichael describingsurfaces
AT poncejean describingsurfaces
AT yuillealan describingsurfaces
AT asadaharuo describingsurfaces