On reconstruction of surfaces from their apparent contours and the stationary phase observations

Author

Golubyatnikov, V.P. ; Pekmen, U. ; Karaca, I. ; Ozyilmaz, E. ; Tantay, B.

Author_Institution

Inst. of Math., Novosibirsk, Russia

fYear

1999

fDate

1-4 Mar 1999

Firstpage

116

Lastpage

120

Abstract

The main results of the 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 also obtain new results on reconstruction of smooth surfaces from observations of the wavefronts generated by these surfaces

Keywords

computational geometry; image reconstruction; surface fitting; 2-dimensional plane; Euclidean space; apparent contours; congruent projections; hypersurfaces; projection data; smooth hypersurface; smooth surfaces; stationary phase observations; sufficient conditions; surface reconstruction; wavefronts; Biomembranes; Mathematics; Multidimensional systems; Notice of Violation; Optical surface waves; Shape; Sufficient conditions; Surface reconstruction; Surface waves; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Shape Modeling and Applications, 1999. Proceedings. Shape Modeling International '99. International Conference on

Conference_Location

Aizu-Wakamatsu

Print_ISBN

0-7695-0065-X

Type

conf

DOI

10.1109/SMA.1999.749330

Filename

749330