Computerized method using isosceles triangles for generating sur

Details Computerized method using isosceles triangles for generating sur Computerized method using isosceles triangles for generating sur

1994-02-28

1997-07-15

Herndon, Heather R.

395119, 395120, 395125, G06T 1500

Patent

active

056490798

ABSTRACT:
A computerized method employing isosceles triangles for generating boundary surface points includes providing an electronic computer system having instructions and data for performing steps, and then performing those steps by executing the instructions and data in the computer system. Each isosceles triangle employed in the method has two congruent legs and an incongruent base. The steps include detecting a closed edge, determining a base figure having a perimeter, generating after the determining step a first group of isosceles triangles having vertices coincident with the closed edge and having bases formed by and equal to the perimeter, determining a location vector formed by a unitized cross product of first line segments which connect the vertices of the first group of triangles. The steps further include generating a second group of isosceles triangles having a common vertex on the vector at a location outside of a plane containing at least portions of the perimeter, the second group of isosceles triangles having bases formed by the first line segments; calculating a first ratio of sums of heights of the first group of triangles, calculating a second ratio of heights of the second group of triangles, comparing the ratios, moving the common vertex along the vector until the common vertex is positioned at a second location. Thereafter, the method generates a boundary surface point at the second location.

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