Artifacts

Abstract

We have seen the use of two particular data patterns, cardinal data where only one control point has a unit value and all others are zero, and polynomial data where all control points have values lying on some polynomial. Cardinal data led us to the basis function; polynomial data led to global approximation properties of the limit curve. We have also analysed what continuity the limit curve has. But continuity is essentially a local property.We now look at what happens with yet another data pattern, that when all control points have values lying on a sinusoid, and this tells us about structures intermediate in scale between the two.