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B样条与Bezier曲线转换矩阵的快速计算方法及应用 被引量:3

FAST CALCULATION METHOD AND APPLICATION FOR CONVERSION MATRIX BETWEEN UNIFORM B-SPLINE CURVES AND BEZIER CURVES
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摘要 RomaniL.等人在2004年首次明确提出了任意阶均匀B样条和Bezier曲线之间相互转换矩阵的计算方法,但该方法把高阶的转换矩阵用递归降阶形式定义的,在每次降阶中存在大量的重复计算,针对这个问题提出了改进的算法,并给出了其在均匀B样条的降阶方面的应用实例。 Romani L. firstly put forward clearly in 2004 the matrix algorithm of mutual conversion between uniform B-spline of arbitrary order and Bezier curves. But the recursive order reduction formula was applied to define higher order conversion matrix in the algorithm, so a lot of redundancy computing exists in every order reduction. In this paper we propose an improved method against this problem, and provide a real application example in order reduction for uniform B-spline.
出处 《计算机应用与软件》 CSCD 北大核心 2008年第7期91-93,共3页 Computer Applications and Software
基金 江西省教育厅科技计划资助(2006[36])
关键词 B样条 BEZIER曲线 转换矩阵 降阶 B-Spline Bezier curves Conversion matrix Degree reduction
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参考文献10

  • 1孙家广等编著..计算机图形学 第3版[M].北京:清华大学出版社,1998:595.
  • 2潘日晶.B样条曲线节点插入和升阶的统一方法[J].小型微型计算机系统,2002,23(3):335-338. 被引量:5
  • 3Boehm W. Generating the Bezier Points. of B-Spline and Surfaces. Computer-Aided Design. 1981 , 13 (6) :365 - 366. 被引量:1
  • 4Matthias Eck,Jan Hadenfeld. Knot Removal for B-Spline Curves[ J ]. Computer Aided Geometric Design, 1995 (12) :259- 282. 被引量:1
  • 5Les Piegl, Wayne Tiller. Algorithm for degree reduction of B-spline curves. Computer-Aided Design, 1995,27 ( 2 ) : 101 - 110. 被引量:1
  • 6Rommani L, Sabin M A. The Conversion matrix between uniform B- Spline and Bezier Representations[J]. Computer Aided Geometric Design ,2004,21:549 - 560. 被引量:1
  • 7Liu Ligang, Wang Guojin. Explicit Matrix representation for NURBS curves and surfaces[ J ]. Computer Aided Geometric Design,2002,19: 409 -419. 被引量:1
  • 8潘日晶.NURBS曲线曲面的显式矩阵表示及其算法[J].计算机学报,2001,24(4):358-366. 被引量:33
  • 9Joung Joo Ahn. Using Jacobi Polynomials for degree reduction of Bezier Curves With Ck-Constrains [ J ]. Computer Aided Geometric Design, 2003,20:423 - 434. 被引量:1
  • 10Hasik sunwoo, Namyong Lee. A unified matrix representation for reduction of Bezier Curves [ J ]. Computer Aided Geometric Design, 2004,21:151 - 164. 被引量:1

二级参考文献14

共引文献36

同被引文献30

  • 1刘植.Bézier曲线的扩展[J].合肥工业大学学报(自然科学版),2004,27(8):976-979. 被引量:26
  • 2吴晓勤,韩旭里.三次Bézier曲线的扩展[J].工程图学学报,2005,26(6):98-102. 被引量:83
  • 3谢进,邬弘毅.一类带双参数的二次三角Bézier曲线[J].合肥学院学报(自然科学版),2006,16(1):20-23. 被引量:6
  • 4邬弘毅,陈晓彦.多形状参数的三次非均匀三角多项式曲线[J].计算机辅助设计与图形学学报,2006,18(10):1599-1606. 被引量:11
  • 5MERCHANT M E. Basic mechanics of the metal-cutting process[J]. Transactions of the ASME, 1944,66 : A 168. 被引量:1
  • 6AI.rFINTAS Y. Manufacturing automation:metal cutting me chanics, machine tool vibrations and CNC design[M]. Cam-bridge, UK: Cambridge University Press, 2000 : 14 19. 被引量:1
  • 7SABBERWAI. A J P. Chip section and cutting force during the end milling operation[J]. Annals of the CIRP, 1960, 10 ( 3 ) : 197 203. 被引量:1
  • 8ENDRES W J, DEVOR R E, KAPOOR S G. A dual mecha nism approach to the prediction of machining forces, part l model development &. part II: calibration and validation[J] Transactions of the ASME, 1995,117(4):526 54I. 被引量:1
  • 9REDDY R G, KAP(X)R S (9, DEVOR R E. A mechanistic force model for contour turning [J]. Transactions of the ASME, 2000,122 (3) : 398L405. 被引量:1
  • 10YUSSEFIAN N Z, MOETAKEF-1MANI B, ELMOUNAY RIH. The prediction of cutting force for boring process[J].International Journal of Machine Tools and Manufacture 2008,48(12) .- 1387-1394. 被引量:1

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