Variable-radius blends and dupin cyclides
Abstract
Research in blending has made significant progress in recent years. Techniques for constant radius global blends and local blends have been studied. However, the blending of solids by variable radius has not been addressed adequately. Such blends are commonly found in a wide variety of industrial parts including molds and dies. These blending surfaces are mathematically complex and of high algebraic degree. This motivates approximating the variable radius blends by lower degree algebraic surfaces. A candidate for the approximant is the Dupin Cyclide. Discovered by Charles Pierre Dupin in 1822, these are quartic surfaces with circular lines of curvature. The purpose of this research is to investigate the use of cyclides in variable radius blending.
Degree
Ph.D.
Advisors
Chandru, Purdue University.
Subject Area
Industrial engineering
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