Volume 15, Number 1/2

Implicit Set Blends with Bounded Primitives for Zero Implicit Surface

  Authors

Pi-Chung Hsu, Shu-Te University, Taiwan

  Abstract

In Zero implicit surface modeling, a complex implicit surface is constructed like block building from primitive surfaces via set blends including union, intersection and difference. Set blends can smooth out sharp corners or edges by automatically generated transition surfaces from the level surfaces in the blending regions of blended primitive. However, level surfaces of primitives in existing set blends always have similar shape and size in the blending regions and are proportional to those of blended primitives. To solve this problem, this paper develops new union, intersection and difference blends with bounded primitives for zero implicit surface modeling. In the proposed set blends, each blended primitive is assigned a bounding solid respectively to adjust the size and shape of the level surfaces of the primitive. Via these new set blends with chosen bounding solids, some modelling functions are provided, such as (a) bulge eliminations on sequential unions of intersecting and connecting cylinders, (b) changing the shape of the contour of a blend’s transition, and (c) creating smooth sequential blends with overlapping blending regions.

  Keywords

Zero implicit surfaces, Implicit set blends, The scale method, The displacement method