A system that reconstructs 3D models with algebraic curved surfaces from three orthographic views is described. In this paper, we present two features. First, we can directly reconstruct 3D models with algebraic curved surfaces without using a method of polyhedron approximation by introducing two kinds of supplementary lines: silhouette lines and tangency lines. Second, we develop new rules and heuristics to handle curved surfaces, used in combinatorial search of faces. Rules work to reduce the processing time, and heuristics are aiming at simulation of the way human interprets the three orthographic views. Soundness and efficiency of the proposed method are also proved experimentally.
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