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Two‐dimensional splines on fairly arbitrary meshes
Author(s) -
Riedel K.O.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310168
Subject(s) - spline (mechanical) , polygon mesh , box spline , tensor product , mathematics , smoothing spline , exponential function , spurious relationship , mathematical analysis , geometry , spline interpolation , pure mathematics , physics , statistics , bilinear interpolation , thermodynamics
Applying tension to the cubic spline in order to avoid spurious oscillations leads to the well known exponential spline. We use a special kind of such an exponential spline with variable knots in order to define two‐dimensional splines with tension for fairly arbitrary meshes. Hence, the drawback of tensor product splines, which are only defined on grids consisting of horizontal and vertical lines covering the whole support, is overcome. Further, the efficiency of these novel splines in denoising camera images is shown.