Abstract
It is desirable to be able to use the B-spline surface formulation to describe a surface initially defined by a completely specified network of points to be interpolated. An appropriate set of B-spline control vertices which will generate an interpolating surface can be determined by solving a set of simultaneous linear equations. These equations are derived, efficient algorithms are designed to solve them rapidly, and the implementation of this theory in a computer-aided geometric design system is presented.
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