Interpolation with nonuniform B-splines

We consider the problem of interpolating a continuous-time signal from a set of uniformly spaced discrete-time samples. One of the prime methods of interpolation is based on the use of uniform B-splines. We introduce a new interpolation approach using nonuniform B-splines as interpolation kernels. We show, both theoretically and through simulation results, that using nonuniform B-splines for interpolation of a signal from uniform samples can result in a higher quality of interpolation with respect to uniform B-splines, at the same computational cost.