Digital image resampling by modified B-spline functions

We investigate the applicability of modified B-spline functions in digital image resampling tasks. We con-sider a modification that is based on the use of a linear combination of shifted B-splines of different degrees. By optimizing the weighting coefficients, we get interpolat-ing functions with improved frequency responses – flat-ter characteristics in the passband and a higher attenua-tion of unwanted images of the original baseband. We realize a computationally efficient procedure, based on the use of a modified Farrow structure. In our experi-ments, the modified B-spline decimators and interpola-tors have shown a better performance and a better visual quality than their classical B-splines counterparts. 1