Constrained Space Curve Interpolation with Constraint Planes.

Kong, V.P. and Ong, B.H. (2003) Constrained Space Curve Interpolation with Constraint Planes. Working Paper. Universiti Sains Malaysia.

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    Abstract

    We consider the interpolation of a given set of ordered space data points by a smooth curve in the presence of a set offinite or infinite constraint planes, where the polyline joining consecutive data points does not intersect with the constraint planes. The geometrical properties of the Bezier rational cubics are characterized and exploited in the derivation of conditions for the interpolant to avoid crossing the constraint planes. A method is presented for the construction of the G2 constrained piecewise rational cubic interpolant which is local.

    Item Type: Monograph (Working Paper)
    Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
    Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences)
    Depositing User: ARKM Al Rashid Automasi
    Date Deposited: 21 Jan 2009 21:41
    Last Modified: 13 Jul 2013 11:45
    URI: http://eprints.usm.my/id/eprint/7831

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