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IMA Journal of Numerical Analysis 1991 11(2):159-180; doi:10.1093/imanum/11.2.159
© 1991 by Institute of Mathematics and its Applications
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The Approximation of a Composite Bézier Cubic Curve by a Composite Bézier Quadratic Curve

M. G. COX and P. M. HARRIS

National Physical Laboratory Teddington, Middlesex TW11 0LW

In the context of the computer representation of textual characters, we describe an algorithm for approximating a composite Bézier cubic curve by a composite Bérier quadratic curve. The knots or breakpoints of the approximating function are determined such that the error of approximation does not exceed a specified value. The number of breakpoints, and hence the number of arcs of the approximation, is not in general optimal but can be expected to be ‘small’. The work is clearly relevant also to other application areas.


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