Publication Detail

Offsets of Curves on Rational B-spline Surfaces

Nicholas Patrikalakis, Leonidis Bardis
1989
8 pp.
MITSG 91-24J

These papers tackle the problem of representing curves and surfaces in geometrical models, important in applications like numerical-control machining and representation of space in robotics. In the first paper, the authors address the construction of offset curves lying on the same parametric surface. A novel algorithm is introduced, whose main feature is the use of geodesic paths to determine points of the offset. The algorithm is applied and an error-checking scheme is used. In the second paper, the authors develop approximation algorithms based on the general rational B-spline formulation. Two classes of surfaces represented are studied.

type: Technical reports

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