grid_spline_5-Multilevel_B-Spline_Interpolation__from_Grid

Multilevel B-Spline Interpolation (from Grid)

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contributed at 2018-11-06

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Multilevel B-spline algorithm for spatial interpolation of scattered data as proposed by Lee, Wolberg and Shin (1997). The algorithm makes use of a coarse-to-fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions, whose sum approaches the desired interpolation function. Large performance gains are realized by using B-spline refinement to reduce the sum of these functions into one equivalent B-spline function. The 'Maximum Level' determines the maximum size of the final B-spline matrix and increases exponential with each level. Where level=10 requires about 1mb level=12 needs about 16mb and level=14 about 256mb(!) of additional memory. Reference: - Lee, S., Wolberg, G., Shin, S.Y. (1997): 'Scattered Data Interpolation with Multilevel B-Splines', IEEE Transactions On Visualisation And Computer Graphics, Vol.3, No.3

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SAGA (2018). grid_spline_5-Multilevel_B-Spline_Interpolation__from_Grid, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/940497f7-ad36-4577-b40e-dd5a91c2a4f5
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contributed at 2018-11-06

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