B-spline tools
B-splines is a natural signal representation for continous signals, where
many continous-domain operations can be carried out exactly once the
B-spline approximation has been done.
The B-spline estimation procedure in this toolbox using allpole filters
is based on the classic papers by M. Unser and others [1,2,3], it allows
very fast estimation of B-spline coefficients when the sampling grid is
uniform. Evaluation/interpolation is also a linear filter operation.
The toolbox has two layers; a set of functions for the fundamental
operations on polynomial B-splines, and an object-oriented wrapper which
keeps track of the properties of a spline signal and overload common
operators.
The representation is dimensionality-independent, and much of the code is
vectorized.
Units tests are included, these require the MATLAB xunit toolbox.
[1] M. Unser, A. Aldroubi, M. Eden, "B-Spline Signal Processing: Part
I-Theory", IEEE Transactions on Signal Processing, vol. 41, no. 2, pp.
821-833, February 1993
[2] M. Unser, A. Aldroubi, M. Eden, "B-Spline Signal Processing: Part
II-Efficient Design and Applications", IEEE Transactions on Signal
Processing, vol. 41, no. 2, pp. 834-848, February 1993
[3] M.Unser, "Splines: A Perfect Fit for Signal and Image Processing",
IEEE Signal Processing Magazine, vol. 16, no. 6, pp. 22-38, 1999
Cite As
Jan Tore Korneliussen (2021). B-spline tools (https://www.mathworks.com/matlabcentral/fileexchange/27047-b-spline-tools), MATLAB Central File Exchange. Retrieved .
Comments and Ratings (2)
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First of all, thanks a lot for the code..In bsplineNdtrans.m, roots of pole are being calculated and poles only between _1 to +1 are being considered. The roots of pole for any particular spline will be same and i feel this as a redundant calculation.
Also i am interested in calculating the partial derivatives(2-D data) i.e wrt x,y,xx,yy,xy,etc. It would be of great help if you can illustrate these calculations with the help of an example
Any help would be greatly appreciated..