KoG, Vol. 3 No. 3, 1998.
Original scientific paper
Closing Pipes by Extension of B-Spline Surfaces
Márta Szilvási-Nagy
; Budapest University of Technology and Economics, Budapest, Hungary
Abstract
This paper presents an algorithm to close pipes represented as tensor product B-spline surfaces. The tube shaped surface will be extended and closed by degenerate rectangular (three-sided) patches. The geometric data of the closing part are the common singular vertex of the new bordering patches and first order boundary conditions at this vertex. Then the points of the extension of the control net are computed from these data. The user input of the algorithm, besides the pipe, is the single closing point. The boundary conditions are chosen automatically and, in order to achieve a fair shape of the closing part, are partly computed from a fairness condition. Moreover, also the closing point can be computed from the fairness condition, which leads to the automatic closing of the pipe.
Keywords
CAGD; B--spline surface; fairing
Hrčak ID:
166444
URI
Publication date:
20.1.1999.
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