Machined sharp edge restoration for triangle mesh workpiece models derived from grid-based machining simulation

Abstract

passed away on May 1, 2018, 11 days short of being 90 years old.He was an early pioneer in the application of splines to Computer-Aided Geometric Design (CAGD), which provides the mathematical basis for the use of computers to design, engineer and manufacture products and complex systems.My first encounter with Prof. Boehm's work was in early 1981. I was new to CAGD and particularly interested in developing rational B-spline technology for use in engineering applications. Upon discovering his 1980 paper: "Inserting new knots into B-spline curves," my first impression was: what a beautiful work. It was short, just three pages, elegantly simple and clear, but eminently useful. The applications were immediately clear: curve/surface division, modification by means of control point refinement, decomposition into Bezier and other polynomial forms, and rendering sets of curves compatible for the purpose of surface constructions such as lofting, just to name a few. This paper had a profound influence on my work.