One Dimensional Spline Interpolation Algorithms
Together with its compagnion volume this book presents a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided design (CAD) and computer graphics.
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Polygonal Paths as Linear Spline Interpolants
Quadratic Spline Interpolants
Cubic Spline Interpolants
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20 CONTINUE abscissas addition ARRAY(N becomes calculated calling must contain Calling sequence choice chosen coefficient matrix computed consider CONTINUE RETURN END convex corresponding cubic spline interpolant CUBSM1 curve derivatives Description desired Determination DIMENSION end conditions evaluated example existence Figs follows function Further given points gives GOTO GRAD2B Hence holds ICASE IF(IFLAG.NE.O IFLAG IFLAG=0 IFLAG=1 RETURN END interval INTONE iterations knots linear system method monotonically Normal execution Number of given obtain parameters periodic poles polygonal path polynomial possible problem Program listing rational spline interpolant RATSP1 Required subroutine respectively RETURN END Figure satisfy second derivatives segments sk(x slope smoothing solution substitute symmetric system of equations tridiagonal TRIDIS TRIPES uniquely unknowns values X-AXIS Figure Xk+1 Y-AXIS Y-AXIS X-AXIS yk+1 zero
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