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Surface reconstruction using deformable models with interior andboundary constraints
Wang, Y.F.   Wang, J.-F.  
Dept. of Comput. Sci., California Univ., Santa Barabara, CA;

This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: May 1992
Volume: 14,  Issue: 5
On page(s): 572-579
ISSN: 0162-8828
References Cited: 10
CODEN: ITPIDJ
INSPEC Accession Number: 4185380
Digital Object Identifier: 10.1109/34.134061
Current Version Published: 2002-08-06

Abstract
The authors introduce a technique for 3D surface reconstruction using elastic deformable-models. The model used is an imaginary elastic grid, which is made of membranous, thin-plate-type material. The elastic grid can bent, twisted, compressed, and stretched into any desired 3D shape, which is specified by the shape constraints derived automatically from images of a real 3D object. Shape reconstruction is guided by a set of imaginary springs that enforce the consistency in the position, orientation, and/or curvature measurements of the elastic grid and the desired shape. The dynamics of a surface reconstruction process is regulated by Hamilton's principle or the principle of the least action. Furthermore, a 1D deformable template that borders the elastic grid may be used. This companion boundary template is attracted/repelled by image forces to conform with the silhouette of the imaged object. Implementation results using simple analytic shapes and images of real objects are presented

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