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- W2001251517 abstract "Wendland radial basis functions are applied as an alternative solution to the interpolation problem when the filtered backprojection algorithm is used in computed tomography. Since we have a regular grid of data points and these functions arecompactly supported, the interpolation can be made as a fast filtering process rather than solving a typical linear systemof equations. This allows us to apply the Error Kernel method, which gives details of the approximation quality in thefrequency domain, when we make interpolation with basis functions such as the B-splines. The Error Kernel provides usa direct comparison between Wendland functions and B-splines. The comparison shows that the Wendland functions canoffer the same interpolation quality of the B-splines when the support is large, but with a small support the performanceis poor. We see this behavior making tomographic reconstructions with different Wendland functions and also withdifferent supports. A numerical experiment consisting of successive image rotations to an image was performed to verifythe similarities between the Wendland functions and B-splines." @default.
- W2001251517 created "2016-06-24" @default.
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- W2001251517 date "2011-08-15" @default.
- W2001251517 modified "2023-09-23" @default.
- W2001251517 title "Wendland radial basis functions applied as filters on computed tomography" @default.
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- W2001251517 doi "https://doi.org/10.1117/12.903420" @default.
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