Visualization of Shaped Data by Cubic Spline Interpolation

This chapter reiterates the subject of the previous chapter. Instead of a rational cubic model, a polynomial cubic spline has been presented here for the same objective. A piecewise cubic spline has been introduced to preserve the shape of the data when it is convex, monotone or positive. The spline representation is interpolatory and applicable to the scalar valued data. The shape parameters, in the description of the cubic, have been constrained in such a way that they control the shape of the curve to avoid any noise. As far as visual smoothness is concerned, the curve scheme under discussion is GC1. Thus the continuity constraints have been relaxed from C1 to GC1.


Spline Interpolation Positive Data Comput Graphic Spline Curve Previous Chapter 
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