Title :
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
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;
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
DOI :
10.1109/SMA.1999.749330
