NDLI: Hierarchical D-NURBS surfaces and their physics-based sculpting

Content Provider	IEEE Xplore Digital Library
Author	Meijing Zhang Hong Qin
Copyright Year	2001
Description	Author affiliation: Dept. of Comput. Sci., State Univ. of New York, Stony Brook, NY, USA (Meijing Zhang)
Abstract	In this paper, we present hierarchical D-NURBS as a new shape modeling representation which generalizes powerful, physics-based D-NURBS for interactive geometric design. Our hierarchical D-NURBS can be viewed as a collection of standard D-NURBS finite elements, organized hierarchically in a tree structure and subject to continuity constraints across the shared boundaries of adjacent D-NURBS elements at different levels. The layered and composite construction of hierarchical D-NURBS affords users the effective creation of local features and their flexible, global/local control at different level of details. Within the framework of hierarchical D-NURBS, users can interactively sculpt NURBS geometry more intuitively and conveniently through both global and local toolkits. Based on the data structure of hierarchical D-NURBS, we have developed a prototype software equipped with various physics based toolkits in the form of geometric constraints and simulated forces. Our modeling system allows users to undertake the design tasks of point manipulation, normal editing, curvature control, curve fitting, and area sculpting in interactive graphics and CAD/CAM.
Sponsorship	Consiglio Nazionale delle Richerche
Starting Page	257
Ending Page	266
File Size	1146092
Page Count	10
File Format	PDF
ISBN	0769508537
DOI	10.1109/SMA.2001.923397
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-05-07
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Solid modeling Shape Finite element methods Tree data structures Spline Surface topography Surface reconstruction Geometry Data structures Software prototyping
Content Type	Text
Resource Type	Article

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