NURBS surface fitting using orthogonal coordinate transform for rapid product development

Seok-Hyung Bae, Byoung K. Choi
2002 Computer-Aided Design  
Constructing a CAD model from a physical model plays a key role in some rapid product development processes. Presented in the paper is a method of ®tting NURBS surfaces for rotational freeform shapes: (1) cloud-of-points data (COP-data) representing a rotational freeform shape are transformed into an orthogonal coordinate system, (2) a single-valued B-spline surface is ®tted to the transformed data, and (3) the resulting B-spline surface is converted to a 3D NURBS surface by applying a symbolic
more » ... product operation with a quadratic NURBS basegeometry. Compared to the existing'direct' ®tting methods, the proposed method has some distinctive advantages: it provides a natural means to parameterization, enables to recover exact NURBS geometry when the COP-data represent a true surface-of-revolution, and allows an easy point-membership classi®cation for NURBS-bounded solid objects. q
doi:10.1016/s0010-4485(01)00198-1 fatcat:jir2xtpdffh4lie3adxlve3vwe