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We present a linear approach to the 3 0 reconstruction problem froni occluding contours using algebraic surfaces. The problem of noise and missing data in the occluding contours extracted from the images leads us to this approach. Our approach is based$rst on the intensive use of the duality prgperty between 3 0 points and tangent planes, and second on the algebraic representation of 3 0 surfaces by implicit polynomials of degree 2 and higher.

A Linear Dual-Space Approach to 3D Surface Reconstruction from Occluding Contours using Algebraic Surfaces