Comparison of discretization algorithms for nurbs surfaces with application to numerically controlled machining

摘要: Abstract Sculptured surfaces used in automotive, aerospace and naval design are usually mathematically defined by parametric forms such as the well-known Bezier, B-Spline nurbs representations. Although widely many applications, they not ideal for NC tool path generation, primarily because of difficulty calculating gouge free contact points between surface. Discrete representations can be to simplify point calculation. Algorithms surface discretization may broadly classified local, global or subdivision methods. Implementations each these classes were compared five surfaces. An algorithm based on rectangular produced best overall performance.