%0 Journal Article %1 Riedel.2005 %A Riedel, Oliver %D 2005 %J ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik %K 2021-01-20;Arbitrary mesh;Exponential processing;Smoothing;Tension;Tensor product spline spline;Image %N 3 %P 176--188 %R 10.1002/zamm.200310168 %T Two-dimensional splines on fairly arbitrary meshes %V 85 %X 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. \copyright 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

@article{Riedel.2005, abstract = {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. {\copyright} 2005 WILEY-VCH Verlag GmbH {\&} Co. KGaA, Weinheim.}, added-at = {2021-03-22T18:31:26.000+0100}, author = {Riedel, Oliver}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2fe473615e6884e2b0435e3732546c98d/oliverriedelisw}, doi = {10.1002/zamm.200310168}, file = {https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=15744374926&origin=inward}, interhash = {29d1dad67f60f7710b8f6675aa48a5c2}, intrahash = {fe473615e6884e2b0435e3732546c98d}, issn = {00442267}, journal = {ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik}, keywords = {2021-01-20;Arbitrary mesh;Exponential processing;Smoothing;Tension;Tensor product spline spline;Image}, number = 3, pages = {176--188}, timestamp = {2021-03-22T17:32:45.000+0100}, title = {Two-dimensional splines on fairly arbitrary meshes}, volume = 85, year = 2005 }