CONSTRAINED INTERPOLATION BY PARAMETRIC RATIONAL CUBIC SPLINES
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Date
2010-06
Authors
LAU, BEE FANG
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Abstract
Constrained interpolation could be useful in problem like designing a curve that
must be restricted within a specified region. In this dissertation, we discuss constrained
interpolation using rational cubic splines introduced in (Goodman et al, 1991). There are
two curve modification methods suggested and the one which involves modification of
the weights a ,p associated with the end points of the curve segments is discussed in
this dissertation. This scheme obtains a G2 interpolating curve which lies on one side of
the given lines as the given data. Extension from this paper, we will derive an alternative
constrained interpolation scheme using rational cubic curve. The weights Q , B
associated with the inner control points are modified to obtain a G1 interpolating curve
which lies on one side of the given lines as the given data.
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PARAMETRIC