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Surface Reconstruction Using Deformable Models with Interior and Boundary Constraints
May 1992 (vol. 14 no. 5)
pp. 572-579

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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Index Terms:
interior constraints; shape reconstruction; deformable models; boundary constraints; 3D surface reconstruction; elastic deformable-models; imaginary elastic grid; shape constraints; 1D deformable template; picture processing
Y.F. Wang, J.F. Wang, "Surface Reconstruction Using Deformable Models with Interior and Boundary Constraints," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 5, pp. 572-579, May 1992, doi:10.1109/34.134061
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