A rational extension of Piegl's method for filling n-sided holes

N-sided hole filling plays an important role in vertex blending. To deal with the case that the corner is surrounded by rational surfaces (i.e. NURBS surfaces), an algorithm to fill n-sided holes with -G1 continuous NURBS patches that interpolate the given boundary curves and approximate the given cross-boundary derivatives is presented based on Piegl's method. The NURBS surfaces joining along inner or boundary curves have normal vectors that do not deviate more than the user-specified angular tolerance . The boundaries as well as cross-boundary derivatives can all be NURBS curves. No restrictions are imposed on the number of boundary curves, and the cross-boundary derivatives can be specified independently. c 2006 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2006
• Where: CAD
• Authors: Yi-Jun Yang, Jun-Hai Yong, Hui Zhang, Jean-Claude Paul, Jia-Guang Sun
• Keywords: CAD 2006, Cross-boundary Derivatives, N-sided Holes, NURBS, Theoretical Computer Science