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PDE Surface Generation with Combined Closedand Non-Closed Form Solutions

Journal of Computer Science & Technology 2004年第5期19卷 650-656页

作者： Jian-JunZhang Li-HuaYou NationalCentreforComputerAnimation BournemouthUniversityU.K.

Partial differential equations (PDEs) combined with suitably chosen boundaryconditions are effective in creating free form surfaces. In this paper, a fourth order partialdifferential equation and boundary conditions up to tangential continuity are introduced. Thegeneral solution is divided into a closed form solution and a non-closed form one leading to a mixedsolution to the PDE. The obtained solution is applied to a number of surface modelling examplesincluding glass shape design, vase surface creation and arbitrary surface representation.

关键词： surface generation combined solution fourth order partial differentialequation geometric modelling

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An XML-based information model for archaeological pottery

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2005年第5期6卷 447-453页

作者：刘德智 RAZDAN Anshuman SIMON Arleyn BAE Myungsoo School of Computer Science Zhejiang University Hangzhou 310027 China Partnership for Research in Spatial modelling Arizona State University Tempe AZ 85281 USA

An information model is defined to support sharing scientific information on Web for archaeological pottery. Apart from non-shape information, such as age, material, etc., the model also consists of shape information and shape feature information. Shape information is collected by Lasers Scanner and geometric modelling techniques. Feature information is generated from shape information via feature extracting techniques. The model is used in an integrated storage, archival, and sketch-based query and retrieval system for 3D objects, native American ceramic vessels. A novel aspect of the information model is that it is totally implemented with XML, and is designed for Web-based visual query and storage application.

关键词： geometric modelling Feature extraction XML Content-based 3D search

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A SUBDIVISION SCHEME FOR VOLUMETRIC MODELS

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Applied Mathematics(A Journal of Chinese Universities) 2005年第2期20卷 213-224页

作者： Ghulam Mustafa Dept. of Math. Univ. of Sci. and Tech. of China Anhui 230026 China.

In this paper, a subdivision scheme which generalizes a surface scheme in previous papers to volume meshes is *** scheme exhibits significant control over shrink-age/size of volumetric *** also has the ability to conveniently incorporate boundaries and creases into a smooth limit shape of *** method presented here is much simpler and easier as compared to MacCracken and Joy'*** method makes no restrictions on the local topology of ***,it can be applied without any change to meshes of non-manifold topology.

关键词： geometric modelling subdivision volume mesh,non-manifold.

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