Non-negative rational spline interpolation

Scientific visualization is one of the important areas of computer graphics. This paper is concerned with non-negative C¹-interpolation of non-negative data for visualization proposes. Using the rational cubic spline function of Sarfraz et al. (1997), necessary and sufficient conditions have been derived which ensure the generation of a non-negative curve through given non-negative data. In addition to the pleasant display, the scheme provides extra freedom to the users to play with the shape of the curve to modify it according to their desire. This is done through controlling the default curve within the derived constraints