The Visual Computer

, Volume 27, Issue 6–8, pp 485–494 | Cite as

Genetic B-Spline approximation on combined B-reps

  • Matthias Bein
  • Dieter W. Fellner
  • André Stork
Original Article


We present a genetic algorithm for approximating densely sampled curves with uniform cubic B-Splines suitable for Combined B-reps. A feature of this representation is altering the continuity property of the B-Spline at any knot, allowing to combine freeform curves and polygonal parts within one representation. Naturally there is a trade-off between different approximation properties like accuracy and the number of control points needed. Our algorithm creates very accurate B-Splines with few control points, as shown in Fig. 1. Since the approximation problem is highly nonlinear, we approach it with genetic methods, leading to better results compared to classical gradient based methods. Parallelization and adapted evolution strategies are used to create results very fast.


Spline Approximation Genetic Parallel Combined B-reps Subdivision 


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Matthias Bein
    • 1
  • Dieter W. Fellner
    • 1
  • André Stork
    • 1
  1. 1.TU Darmstadt & Fraunhofer IGDDarmstadtGermany

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