logo

SCIENTIA SINICA Informationis, Volume 47 , Issue 4 : 401-415(2017) https://doi.org/10.1360/N112016-00179

Developable surface reconstruction from noisy data with $\boldsymbol L_{\rm 0}$-norm minimization

More info
  • ReceivedJul 15, 2016
  • AcceptedOct 24, 2016
  • PublishedMar 1, 2017

Abstract


Funded by

国家自然科学基金(61672187,61371078)

中央高校基本科研业务费专项资金(HIT.NSRIF.201711)

  • Figure 1

    (Color online) Optimization of normal vector field preserving developability. (a) Original noisy model with normal vector field; (b) neighborhood of data points; (c) optimized normal vector field; (d) original normal vectors on Gaussian sphere (up) and optimized normal vectors on Gaussian sphere (down)

  • Table 1   Computation time
    Model #Vertex $d$ in Eq. (eqn:noise) Time of normal optimization (s) Time of surface fitting (s)
    Figure 2 820 0.08 20 7
    Figure 3 2720 0.08 61 13
    Figure 4 1999 0.05 42 9
    Figure 5 4769 0.08 133 25
    Figure 6 5297 0.1 178 31
    Figure 7 992 0.08 28 11