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

Authors:
Yi-Jun Yang;Jun-Hai Yong;Hui Zhang;Jean-Claude Paul;Jia-Guang Sun
Affiliations:
School of Software, Tsinghua University, Beijing 100084, China and Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China;School of Software, Tsinghua University, Beijing 100084, China;School of Software, Tsinghua University, Beijing 100084, China;School of Software, Tsinghua University, Beijing 100084, China;School of Software, Tsinghua University, Beijing 100084, China and Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
Venue:
Computer-Aided Design
Year:
2006

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Abstract

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 @e- G^1 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 @e. 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.