This paper generalizes the classical cubic spline with the construction of the cubic spline coalescence hidden variable fractal interpolation function (CHFIF) through its moments, i.e. its second derivative at the mesh points. The second derivative of a cubic spline CHFIF is a typical fractal function that is self-affine or non-self-affine depending on the parameters of the generalized iterated...

Hyung-Myung Kim Korea Advanced Institute of Science and Technology (KAIST) Department of Electrical Engineering 373-1 Kusong-Dong, Yusong-Gu Taejon 305-701 South Korea Abstract. The authors derive an adaptive version of cubic convolution interpolation for the enlargement or reduction of digital images by arbitrary scaling factors. The adaptation is performed in each subblock (typically L3L rect...