Browsing by Author "Rokne, J. G."

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    Intersection test and blossoming perturbation for disk parametric curves and ball parametric surfaces
    (2006-05-02) Lin, Qun; Rokne, J. G.
    Errors in curve and surface representation due to inaccuracies inthe data are considered and accounted for by introducing diskparametric curves and ball parametric surfaces. Intersection testalgorithms and interval extensions using blossoming are discussedfor each of the three cases of Bézier curves, tensor productsurfaces, and triangular patches. A stability analysis is alsoperformed for each of the three cases. It is shown that undercertain restrictions disk Bézier curves and triangular ballBézier patches are stable with respect to perturbations of thecontrol disks (balls); whereas tensor product ball Béziersurfaces are in general not.
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    Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips
    (2007-01-18) Singh, B. M.; Rokne, J. G.; Dhaliwal, R. S.
    A two-dimensional electrostatic problem in a plane with earthed elliptic cavity due to one or two charged electrostatic strips is considered. Using the integral transform technique, each problem is reduced to the solution of triple integral equations with sine kernels and weight functions. Closed-form solutions of the set of triple integral equations are obtained. Also closed-form expressions are obtained for charge density of the strips. Finally, the numerical results for the charge density are given in the form of tables.