Method for global blending of computer modeled solid objects usi

Details Method for global blending of computer modeled solid objects usi Method for global blending of computer modeled solid objects usi

1987-05-04

1988-12-13

Harkcom, Gary V.

Boots, shoes, and leggings

364512, 364521, 340729, G09G 102, G06F 1562

Patent

active

047915838

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.

REFERENCES:
patent: 4475104 (1984-10-01), Shen
patent: 4609917 (1986-09-01), Shen
patent: 4694404 (1987-09-01), Meagher
Potmesil, "Generating Octree Models of 3D Objects from Their Silhouettes in a Sequence of Images," vol. 40, Jan. 1987, pp. 1-29.
Frieder et al., "Back to Front Display of Voxel-Based Objects," IEEE CG&A, Jan. 1985, pp. 52-60.

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