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Models for surface modeling of free-form surface and massive data points are becoming an important feature in commercial computer aided design/computer-aided manufacturing software. However, there are many problems to be solved in this area, especially for closed free-form surface modeling. This article presents an effective method for cloud data closed surface modeling from asynchronous profile modeling measurement. It includes three steps: first, 3D Bi-cubic Surface’s Definition; second, The creation of the bi-cubic surfaces like B-spline function; and third, creating the spatial form of the shoe last with 3D bicubic surfaces In the end, an illustrative example of shoe last surface modeling is given to show the availability of this method.

CREATING THE SPATIAL FORM OF THE SHOE LAST WITH 3D BI-CUBIC SURFACES LIKE B-SPLINE FUNCTION