On Reconstruction of Surfaces from their Apparent Contours and the Stationary Phase Observations

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	Similar Articles Articles by V.P. Golubyatnikov Articles by U. Pekmen Articles by I. Karaca Articles by E. Ozyilmaz Articles by B. Tantay

International Conference on Shape Modeling and Applications

Aizu-Wakamatsu, Japan

March 01-March 04

ISBN: 0-7695-0065-X

	ASCII Text	x
	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	x
	@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	x
	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

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.1999.749330

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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