On reconstruction of surfaces from their apparent contours and the stationary phase observations
Conference paper > Full Text
Authors: V.P. Golubyatnikov, U. Pekmen, İsmet KARACA, E. Ozyilmaz, B. Tantay
Proceedings Shape Modeling International '99. International Conference on Shape Modeling and Applications, , , International, Full Text, vol 37, pp 116-120
Summary
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.