Curve and surface fitting. An introduction. (English) Zbl 0649.65012

Lancaster, Peter; Salkauskas, Kestutis

London etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XII, 280 p. (1986).

The purpose of this introductory textbook, as its authors claim is ”to reveal to the interested (but perhaps mathematically unsophisticated) user the foundation and major features of several basic methods for curve and surface fitting that are currently in use”, and this purpose is achieved. The book does not contain any new results or proofs but nevertheless it may be useful for pure mathematicians who turn to the applications as it shows which methods may prove to be popular among users of computer graphics.

Reviewer: Ya.Seliger

MSC:

65D10	Numerical smoothing, curve fitting
65-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
53A04	Curves in Euclidean and related spaces
43A05	Measures on groups and semigroups, etc.
65D05	Numerical interpolation
65D07	Numerical computation using splines
65D15	Algorithms for approximation of functions

Keywords:

polynomial fitting; spline fitting; finite elements; introductory textbook; curve and surface fitting; computer graphics