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F. Ulupinar, R. Nevatia, "Perception of 3D Surfaces from 2D Contours," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 15, no. 1, pp. 318, January, 1993.  
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@article{ 10.1109/34.184771, author = {F. Ulupinar and R. Nevatia}, title = {Perception of 3D Surfaces from 2D Contours}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {15}, number = {1}, issn = {01628828}, year = {1993}, pages = {318}, doi = {http://doi.ieeecomputersociety.org/10.1109/34.184771}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
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TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  Perception of 3D Surfaces from 2D Contours IS  1 SN  01628828 SP3 EP18 EPD  318 A1  F. Ulupinar, A1  R. Nevatia, PY  1993 KW  3D shape inference; 2D contours; parallel symmetries; surface orientation recovery; image recognition; machine vision; skew symmetries; zero Gaussian curvature; computer vision; image recognition; inference mechanisms VL  15 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
Inference of 3D shape from 2D contours in a single image is an important problem in machine vision. The authors survey classes of techniques proposed in the past and provide a critical analysis. They show that two kinds of symmetries in figures, which are known as parallel and skew symmetries, give significant information about surface shape for a variety of objects. They derive the constraints imposed by these symmetries and show how to use them to infer 3D shape. They also discuss the zero Gaussian curvature (ZGC) surfaces in depth and show results on the recovery of surface orientation for various ZGC surfaces.
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