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Abstract

A method for generating a plurality of points that lie on the surface of a blended solid model. These points are obtained from the unblended solid model by a numerical solution to a convolution integral, wherein the convolution integral includes a spherically symmetric blending function with a size responsive to the blend radius desired for each of one or more regions on the solid model. For example, the spherical blending function may possess a constant value everywhere inside a sphere of radius R, and a value of zero outside (here called a 'hard sphere'), or it may be represented by other functions of the radial direction, more specifically, the gaussian bell curve, in which case it will be called a 'gaussian sphere'. The numerical solution to the convolution integral is performed iteratively by placing the blending sphere at a plurality of locations along each of a set of rays that are defined substantially normal to and intersecting the solid model surface. The location on each ray at which the convolution integral is equal to a preselected value is stored. These stored locations may be used directly, or they may be used to define a set of surfaces that interpolate the blended solid model.

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First Claim