| A Type of Triangular Ball Surface and its Properties |
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| 作者姓名： | 胡事民 王国瑾 孙家广 |
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| 作者单位： | Department of Computer Science and Technology，Tsinghua University Beijing 100084，P.R. China Department of Applied Mathematics，Zhejiang University，Hangzhou 310027，P.R. China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China and China Postdoctoral Science Foundation. The secon |
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| 摘 要： | 1IntroductionIntheCONSURFsystemll--3]developedbyA.A.Ball,thebasisfunctionsforcubicpolynomialsweredefinedbyandhencecubicBallcurveswithcontrolpointsPi(i=0,1,2,3)canberepresentedasp(u)=Z?=.B!(u)Pi,0Su51.TwotypesofhigherdegreegeneralizedBallbasisfunctionsandcorrespondingcurveshavebeenderivedbyWangl4]andSaidls]independently.InWang'spaper,generalizedBailbasisfunctionsofarbitrarydegreeweredefinedasfollows'.ifnisanevennumber.ifnisanoddnumberwherew~2u(1--u),05u51.Aparametriccurveofdegreentcall…
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A Type of Triangular Ball Surface and its Properties |
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| Hu Shimin,Wang Guojin and Sun Jiaguang.A Type of Triangular Ball Surface and its Properties[J].Journal of Computer Science and Technology,1998(1). |
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| Authors: | Hu Shimin Wang Guojin and Sun Jiaguang |
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| Abstract: | A new type of bivariate generalized Ball basis function on a triangle is presented for free-form surface design. Some properties of the basis function are given, then degree elevation, recursive evaluation and some other properties of the generalized Ball surfaces are also derived. It is shown that the proposed recursive evaluation algorithm is more efficient than those of the old surfaces. |
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| Keywords: | Triangular Ball surfaces degree elevation recursive evaluation |
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