Journal for Geometry and Graphics, Vol. 2, No. 1, pp. 33 - 43 (1998)

Almost Curvature Continuous Fitting of B-Spline Surfaces

Marta Szilvasi-Nagy

Department of Geometry, Mathematical Institute,
Technical University of Budapest, H-1521 Budapest, Hungary,

Abstract: In this paper an algorithm is presented for the fitting of a tube shaped B-spline surface of (3,2) degrees to another surface along a given connection curve. Satisfying prescribed first and second order boundary conditions at a finite number of interpolation points on the connection curve several vertices of the control net of the bordering patches are computed from a fairness condition. The resulting B-spline surface joins the second surface with almost curvature continuity at those common points in which the tangent planes and the normal curvatures in one prescribed direction of both surfaces coincide.

Keywords: Computer-aided design, B-spline surface, boundary conditions, fairing

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