关键词: 自由曲面重建, 三视图, 曲面蒙皮

Abstract: In this paper an algorithm to reconstruct freeform surfaces by recovering boundary curves
and contour curves from three orthographic views which contain freeform surface projections is
proposed. First the projection properties of freeform surface on three orthographic views are analyzed
and proved. Then a boundary projection and contour projection matching algorithm is proposed.
When there exist interrupted spline curves that can′t be matched by previous methods in views, a
climbing algorithm is used. Freeform surface boundary curves are reconstructed based on projection
matching sequence and space contour curves are reconstructed based on the correspondence between
the contour projection line′s endpoints and the points on the boundary projection lines. By sampling
isoparametric points on the contour curves, cross-sectional curves are constructed by interpolating
these sample points. Finally, the freeform surface is reconstructed from the spatial boundary curves
and cross-sectional curves by skinning method. The proposed algorithm can handle freeform surface
in engineering drawings, and extend the body domain to be reconstructed than other existing
algorithms.