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On Reconstruction of Surfaces from their Apparent Contours and the Stationary Phase Observations
Aizu-Wakamatsu, Japan March 01-March 04
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.1999.749330International Conference on Shape Mod ...
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V.P. Golubyatnikov, U. Pekmen, I. Karaca, E. Ozyilmaz, B. Tantay, "On Reconstruction of Surfaces from their Apparent Contours and the Stationary Phase Observations," Shape Modeling and Applications, International Conference on, pp. 116, International Conference on Shape Modeling and Applications, 1999.
 
 
BibTex
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@article{ 10.1109/SMA.1999.749330,
author = {V.P. Golubyatnikov and U. Pekmen and I. Karaca and E. Ozyilmaz and B. Tantay},
title = {On Reconstruction of Surfaces from their Apparent Contours and the Stationary Phase Observations},
journal ={Shape Modeling and Applications, International Conference on},
volume = {0},
year = {1999},
isbn = {0-7695-0065-X},
pages = {116},
doi = {http://doi.ieeecomputersociety.org/10.1109/SMA.1999.749330},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Shape Modeling and Applications, International Conference on
TI - On Reconstruction of Surfaces from their Apparent Contours and the Stationary Phase Observations
SN - 0-7695-0065-X
SP
EP
A1 - V.P. Golubyatnikov,
A1 - U. Pekmen,
A1 - I. Karaca,
A1 - E. Ozyilmaz,
A1 - B. Tantay,
PY - 1999
VL - 0
JA - Shape Modeling and Applications, International Conference on
ER -
 
V.P. Golubyatnikov, Sobolev Institute of Mathematics
U. Pekmen, Ege University Fen Facultesi, Matematik Bolumu
I. Karaca, Ege University Fen Facultesi, Matematik Bolumu
E. Ozyilmaz, Ege University Fen Facultesi, Matematik Bolumu
B. Tantay, Ege University Fen Facultesi, Matematik Bolumu
The main results of this paper concern a classical problem: if two surfaces in the Euclidean space have congruent projections on any plane, how different can they be? We consider the apparent contours of the smooth hypersurfaces as the projection data and formulate some sufficient conditions of coincidence of the shapes of two hypersurfaces, if the shapes of their apparent contours on any 2-dimensional plane coincide. We obtain also new results on reconstruction of smooth surfaces from observations of the wave fronts generated by these surfaces.
Citation:
V.P. Golubyatnikov, U. Pekmen, I. Karaca, E. Ozyilmaz, B. Tantay, "On Reconstruction of Surfaces from their Apparent Contours and the Stationary Phase Observations," smi, pp.116, International Conference on Shape Modeling and Applications, 1999
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