Surface Interpolation of Non-four-sided and Concave Area by NURBS Boundary Gregory Patches
TOSHIBA CORP TOKYO (JAPAN)
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Subdivision methods are widely used for surface interpolation of a non-four-sided area. Using this method, smooth surface shape control of multiple surfaces is difficult. Therefore, we used the trim surface for interpolation of a concave area, hut shape control of the trim surface was also difficult. In this research, the surface interpolation method of non-four-sided over 4 sided area uses a single NBG NURBS Boundary Gregory patch. Moreover we apply this method for concave areas and study the ability of interpolation. Interpolation of one-sided and two-sided concave shapes is also considered. As a result, one-sided concave area can be interpolated smoothly for complex cases. Two-sided cases need further study.
- Numerical Mathematics
- Theoretical Mathematics