Date : 1979
This book deals with the mathematical tech-
niques which have been developed in recent
years for the representation, analysis and
synthesis of "shape information" by com-
puters. This area of mathematics is now
assuming major importance in the manufac-
turing industries with the increasing use of
computer-aided design and manufacture,
which require a precise geometrical description
of the product.
The authors gather together for the first time
material from widely scattered sources in the
technical and mathematical literature. There is
extensive discussion given of splines and
related means for defining composite curves
and "patched" surfaces, and coverage of both
parametric and non-parametric techniques. The
book is primarily concerned with the math-
ematics of the various methods, and gives
numerous references to descriptions of their
practical application.
The foundations of the subject in classical and
vector geometry are reviewed in the early
chapters, while matrices and basic numerical
analysis are dealt with in Appendices. The book
should therefore be self-contained for readers
familiar with elementary calculus.
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