Open AccessJournal Article10.1023/A:1007978616082

3D Surface Reconstruction Using Occluding Contours

- 31 Mar 1997

- International Journal of Computer Vision

- Vol. 22, Iss: 3, pp 219-233

110

TL;DR: A new approach is presented which deals with the 3D surface reconstruction problem directly from a discrete point of view, and a theoretical study of the epipolar correspondence between occluding contours is achieved.

Abstract: This paper addresses the problem of 3D surface reconstruction using image sequences. It has been shown that shape recovery from three or more occluding contours of the surface is possible given a known camera motion. Several algorithms, which have been recently proposed, allow such a reconstruction under the assumption of a linear camera motion. A new approach is presented which deals with the reconstruction problem directly from a discrete point of view. First, a theoretical study of the epipolar correspondence between occluding contours is achieved. A correct depth formulation is then derived from a local approximation of the surface up to order two. This allows the local shape to be estimated, given three consecutive contours, without any constraints on the camera motion. Experimental results are presented for both synthetic and real data.

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Citations

•Proceedings Article•10.1145/344779.344951

Image-based visual hulls

Wojciech Matusik, +4 more

- 01 Jul 2000

TL;DR: This paper describes an efficient image-based approach to computing and shading visual hulls from silhouette image data that takes advantage of epipolar geometry and incremental computation to achieve a constant rendering cost per rendered pixel.

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1.1K

Journal Article•10.2307/3615862

Curves and singularities, by J. W. Bruce and P. J. Giblin. Pp 222. 1984. ISBN 0-521-24945-7 (Hardback) £25, 27091-X (Paperback) £8·95 (Cambridge University Press)

D. R. J. Chillingworth

- 01 Mar 1986

- The Mathematical Gazette

521

Une Approche Hybride pour Calculer l’Enveloppe Visuelle d’Objets Complexes A Hybrid Approach for Computing Visual Hulls of Complex Objects

Jean-Sébastien Franco, +1 more

- 01 Jan 2008

TL;DR: In this article, a hybrid approach is proposed to compute visual hulls from image contours by taking advantage of surface based approaches, which does not rely on a regular grid, where most cells are ineffective, but rather on an irregular grid where sample points lie on the surface of the visual hull.

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Journal Article•10.1109/TCSVT.2019.2950449

3D Mapping and 6D Pose Computation for Real Time Augmented Reality on Cylindrical Objects

Fulin Tang, +3 more

- 01 Sep 2020

- IEEE Transactions on Circuits and System...

TL;DR: Experimental results show that the proposed method outperforms the state of the arts in terms of 3D mapping and 6D pose computation on cylindrical objects.

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Proceedings Article•10.1109/ICCV.1995.466927

Structure and motion estimation from dynamic silhouettes under perspective projection

Tanuja Joshi, +2 more

- 20 Jun 1995

TL;DR: This work addresses the problem of estimating the structure and motion of a smooth curved object from its silhouettes observed over time by a trinocular stereo rig under perspective projection by constructing a model for the local structure along the silhouette for each frame in the temporal sequence.

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References

Journal Article•10.1007/BF00133570

Snakes : Active Contour Models

Michael Kass, +2 more

- 01 Jan 1988

- International Journal of Computer Vision

TL;DR: This work uses snakes for interactive interpretation, in which user-imposed constraint forces guide the snake near features of interest, and uses scale-space continuation to enlarge the capture region surrounding a feature.

...read moreread less

19.1K

•Proceedings Article

Three-dimensional computer vision: a geometric viewpoint

Olivier Faugeras

- 31 Dec 1993

TL;DR: Results from constrained optimization some results from algebraic geometry differential geometry are shown.

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3.4K

•Journal Article•10.1093/COMJNL/38.1.85

Three-Dimensional Computer Vision: A Geometric Viewpoint

P. K. Ghosh, +1 more

- 01 Jan 1995

- The Computer Journal

1.5K

Journal Article•10.2307/3615862

Curves and singularities, by J. W. Bruce and P. J. Giblin. Pp 222. 1984. ISBN 0-521-24945-7 (Hardback) £25, 27091-X (Paperback) £8·95 (Cambridge University Press)

D. R. J. Chillingworth

- 01 Mar 1986

- The Mathematical Gazette

521

Journal Article•10.1068/P130321

What Does the Occluding Contour Tell Us about Solid Shape

Jan J. Koenderink

- 01 Jun 1984

- Perception

TL;DR: It is demonstrated how well-known examples, used to show how concavities and convexities of the contour have no obvious relation to solid shape, are actually good illustrations of the fact that conveXities are due to local ovoid shapes, concavity to local saddle shapes.

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3D Surface Reconstruction Using Occluding Contours

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Citations

Image-based visual hulls

Curves and singularities, by J. W. Bruce and P. J. Giblin. Pp 222. 1984. ISBN 0-521-24945-7 (Hardback) £25, 27091-X (Paperback) £8·95 (Cambridge University Press)

Une Approche Hybride pour Calculer l’Enveloppe Visuelle d’Objets Complexes A Hybrid Approach for Computing Visual Hulls of Complex Objects

3D Mapping and 6D Pose Computation for Real Time Augmented Reality on Cylindrical Objects

Structure and motion estimation from dynamic silhouettes under perspective projection

References

Snakes : Active Contour Models

Three-dimensional computer vision: a geometric viewpoint

Three-Dimensional Computer Vision: A Geometric Viewpoint

Curves and singularities, by J. W. Bruce and P. J. Giblin. Pp 222. 1984. ISBN 0-521-24945-7 (Hardback) £25, 27091-X (Paperback) £8·95 (Cambridge University Press)

What Does the Occluding Contour Tell Us about Solid Shape

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