Abstract
A rational quartic triangular Bézier patch enables us to numerically represent an octant of a sphere with neither shape errors nor degeneration of nodes, when it adopts the control points and weights derived by Farin. This patch allows us to avoid undesirable influences caused by the misrepresentation of a spherical shape, if the objects to be treated involve an octant of a sphere in the field analysis by a boundary subdivision method. We have carried out a static field calculation for a spherical dielectric placed in a homogeneous applied field with a surface charge method by introducing a simple method that constructs arbitrary mesh patterns on this patch.
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