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Interpolating Cubic Splines (Paperback, Softcover reprint of the original 1st ed. 2000)
Loot Price: R2,664
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Interpolating Cubic Splines (Paperback, Softcover reprint of the original 1st ed. 2000)
Series: Progress in Computer Science and Applied Logic, 18
Expected to ship within 10 - 15 working days
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A spline is a thin flexible strip composed of a material such as
bamboo or steel that can be bent to pass through or near given
points in the plane, or in 3-space in a smooth manner. Mechanical
engineers and drafting specialists find such (physical) splines
useful in designing and in drawing plans for a wide variety of
objects, such as for hulls of boats or for the bodies of
automobiles where smooth curves need to be specified. These days,
physi cal splines are largely replaced by computer software that
can compute the desired curves (with appropriate encouragment). The
same mathematical ideas used for computing "spline" curves can be
extended to allow us to compute "spline" surfaces. The application
ofthese mathematical ideas is rather widespread. Spline functions
are central to computer graphics disciplines. Spline curves and
surfaces are used in computer graphics renderings for both real and
imagi nary objects. Computer-aided-design (CAD) systems depend on
algorithms for computing spline functions, and splines are used in
numerical analysis and statistics. Thus the construction of movies
and computer games trav els side-by-side with the art of automobile
design, sail construction, and architecture; and statisticians and
applied mathematicians use splines as everyday computational tools,
often divorced from graphic images."
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