Computer and Modernization ›› 2013, Vol. 218 ›› Issue (10): 22-26.doi: 10.3969/j.issn.1006-2475.2013.10.007

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Smooth Connection of q-Bezier Curve/Surface

HAO Ling1, YANG Jun2   

  1. 1. Quanzhou Information Technology College, Quanzhou 3620000, China;2. School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China
  • Received:2013-04-27 Revised:1900-01-01 Online:2013-10-26 Published:2013-10-26

Abstract: By constructing a matrix transformation operator, the q-Bezier curves/surfaces are transformed into Bezier curves/surfaces. Then, by means of the smooth connection conditions on Bezier curves/surfaces, the geometric continuity conditions on q-Bezier curves/surfaces are given.

Key words: q-Bernstein basis, matrix transformation operator, geometric continuity, conversion matrix

CLC Number: