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The Visual Computer

, Volume 26, Issue 6–8, pp 823–829 | Cite as

Generating B-spline curves with points, normals and curvature constraints: a constructive approach

  • Abdulwahed Abbas
  • Ahmad Nasri
  • Takashi Maekawa
Original Article

Abstract

This paper presents a constructive method for generating a uniform cubic B-spline curve interpolating a set of data points simultaneously controlled by normal and curvature constraints. By comparison, currently published methods have addressed one or two of those constraints (point, normal or cross-curvature interpolation), but not all three constraints simultaneously with C2 continuity. Combining these constraints provides better control of the generated curve in particular for feature curves on free-form surfaces. Our approach is local and provides exact interpolation of these constraints.

Keywords

B-splines curves and surfaces Recursive subdivision Limit curve and surface Fitting Interpolation Normal Curvature 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Abdulwahed Abbas
    • 1
  • Ahmad Nasri
    • 2
  • Takashi Maekawa
    • 3
  1. 1.Department of Computer ScienceThe University of BalamandTripoliLebanon
  2. 2.Department of Computer ScienceAmerican University of BeirutBeirutLebanon
  3. 3.Department of Mechanical EngineeringYokohama National UniversityYokohamaJapan

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