B-Spline Approximations of the Gaussian, their Gabor Frame Properties, and Approximately Dual Frames
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-017-9557-3
Abstract: We prove that Gabor systems generated by certain scaled B-splines can be considered as perturbations of the Gabor systems generated by the Gaussian, with a deviation within an arbitrary small tolerance whenever the order N… read more here.
Keywords: spline approximations; gabor frame; scaled splines; approximations gaussian ... See more keywords
Weighted quasi-interpolant spline approximations: Properties and applications
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Algorithms"
DOI: 10.1007/s11075-020-00989-4
Abstract: Continuous representations are fundamental for modeling sampled data and performing computations and numerical simulations directly on the model or its elements. To effectively and efficiently address the approximation of point clouds, we propose the weighted… read more here.
Keywords: interpolant spline; spline approximations; approximations properties; quasi interpolant ... See more keywords