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N-Dimensional BSplines

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N-Dimensional BSplines

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18 Apr 2008 (Updated )

Construct coefficients of interpolating or smoothing BSplines from N-dimensional array, analytically

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Description

Class to enable BSpline signal and image processing. Based off of the papers:

M. Unser, A. Aldroubi, and M. Eden, "B-Spline Signal Processing: Part I - Theory," IEEE Trans Sig Proc, 41(2):821-833, Feb 1993.

M. Unser, A. Aldroubi, and M. Eden, "B-Spline Signal Processing: Part II - Efficient Design and Applications," IEEE Trans Sig Proc, 41(2):834-848, Feb 1993.

The class constructor, bsarray.m, takes as input a n-dimensional array, and computes B-spline coefficients for interpolating or smoothing splines of any order less than or equal to 7.

Other member functions enable various computations/manipulations:

indirectFilter.m: reconstructs a signal from BSpline coefficients stored in a bsarray object

partial.m: analytically computes the partial derivative, returning a bsarray object of one less degree in the desired dimension

interp1.m, interp2.m, interp3.m: overloaded versions of interp1, interp2, and interp3, that operate on bsarray objects to interpolate the original data.

See help on each of these functions for instructions on how to call them.

MATLAB release MATLAB 7.5 (R2007b)
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Comments and Ratings (6)
07 Jan 2014 maryam  
15 Feb 2013 Manu

Excellent Toolbox. Thanks!

20 Jan 2013 Farhad M

Thank you very much for the useful code! Is it possible to implement the code on parallel computers for volume image interpolation?

22 Nov 2011 Fer  
10 Feb 2009 Prakash Manandhar

Thanks... Could it be possible to add circular and mirror boundary conditions and non-uniform nodal points?

Prakash.

14 Aug 2008 Shai Bagon

Nice! thanks

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