Dissertation > Excellent graduate degree dissertation topics show

Research on B(?)zier Curve and Surface with Multiple Shape Parameters

Author: LiuXiaoQiong
Tutor: LiuChaoYang
School: Zhengzhou University
Course: Computational Mathematics
Keywords: Computer Aided Geometric Design basic function B(?)zier curve shape parameter
CLC: TP391.7
Type: Master's thesis
Year: 2012
Downloads: 39
Quote: 0
Read: Download Dissertation

Abstract


The expansion of Bezier curve with shape parameter is studied in this paper. A new extension method of the quartic Bezier and n degree Bezier is proposed on the original basis.In the first chapter, we introduce the research background and content about the Computer Aided Geometric Design.In the second chapter, we give the definition and the properties of the Bezier curve and surface. The expansion of the quartic Bezier and n degree Bezier with a shape parameter are recommended.In the third chapter, a new extension of the quartic Bezier curve with a shape pa-rameter is provided by adding shape parameters.In the fourth chapter, we use the same method of adding shape parameters, then exploit de Casteljau recursive method to get a new extension of n degree Bezier.In the end, we summarize the full text and point out the existing problems of Bezier curve and the future research directions.

Related Dissertations

  1. GPU-accelerated affine arithmetic in geometric design of applied research,TP391.41
  2. A System of Visualized Generation and Treatment for Freedom Curves and Surfaces,TP391.72
  3. The Survey of Curves and Surfaces with Adjustable Parameters,TP391.7
  4. Construction and application of two types of mixed the Coons class surfaces with shape parameter,O186.11
  5. Cubic Hermite curve refinement optimization,O186.11
  6. Rational Approximation of Offset Curves of Rational Bézier Curves,O182.1
  7. Study on Hydraulic Characteristics of the Vertical Pipe Intake of Pumped Storage Plants,TV135
  8. With shape parameters Bézier curve and surface studies,O241.5
  9. Fatigue Strengthen Assessment of Large PCTC,U661.43
  10. Research on Bézier-Type Curve and Surface with Shape Parameters,TP391.7
  11. Generalized Ball curves , surfaces, research,TP391.7
  12. Study on the Recognition Method of Water-Flooded Zone in Thick Oil Reservoirs during High Water Cut Stage,P631.81
  13. With shape parameter rational Coons surface structure,TP391.7
  14. Surfaces and algebraic curves multilateral domain structure and implementation of,TP391.72
  15. Constructing of G~2 Quartic Bézier Interpolation Curve,TP391.7
  16. Study on Bond Performance of Cold-rolled Spirals Steel Bars and the Bend Behavior of Cold-rolled Spiral Steel Bars RC Slabs,TU375.2
  17. Design and Research on CE-Bezier Developable Surfaces and λ、μ-B Spline Developable Surfaces,TP391.7
  18. Nonlinear Subdivision for Freeform Curve Design and Its Application in Image Processing,TP391.41
  19. The Design of Ultra Wideband Radio Pulse Shapes and the Study of Ultra Wideband Modulation Scheme,TN925
  20. Optimal Multi-degree Reduction of a New Curve That Has Shape Preserving and Linear Evaluation Properties,TP391.7
  21. Airborne radome analysis and design,V243.4

CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Machine-assisted technology
© 2012 www.DissertationTopic.Net  Mobile