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A detailed error analysis for the dual-sampling region-ofinterest X-ray tomography is presented. Simulation studies are used along with a range of sampling rates to quantitate the amount of sampling errors within the region of interest. It is shown that as the rate of sampling outside the region of interest becomes sparse the amount of sampling errors within the region of interest increases considerably.

We prove that the Toeplitz binary value matrix inversion associated with mth order E-spline interpolation can be implemented using only 2 (m + 1) additions. We develop pipelined architectures for real time B-spline interpolation based on simple running average filters. We also show that an ideal interpolating function, which is approximated by a truncated sinc function with M half cycles, can be implemented using B-splines with M + 2 multiplies. With insignificant loss of performance, the coefficients at the knots of the truncated sinc function can be approximated using coefficients which are powers of two. The resulting implementation requires only M + 4m + 6 additions. We believe that the truncated sinc function approximated by zero order B-spline functions actually achieves the best visual performance.

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