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We present an efficient algorithm to compute multidimensional spatially variant convolutions-or inner products-between N-dimensional signals and B-splines-or their derivatives-of any order and arbitrary sizes. The multidimensional B-splines are computed as tensor products of 1-D B-splines, and the input signal is expressed in a B-spline basis. The convolution is then computed by using an adequate...
We present a novel adaptive B-spline based smoothing filter for the restoration of micro-CT images of mice lung. Our algorithm implements the filter as the convolution of the input image with a B-spline kernel whose size matches the underlying image local characteristics. We show that our method outperforms other traditional adaptive or anisotropic filters in terms of noise reduction, while preserving...
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