Planar piecewise algebraic curves

Authors:
Thomas W. Sederberg
Affiliations:
368 Clyde Building, Brigham Young University, Provo, UT 84602, U.S.A.
Venue:
Computer Aided Geometric Design
Year:
1984

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Abstract

An approach is described for piecing together segments of planar algebraic curves with derivative continuity. The application of piecewise algebraic curves to area modelling (the two-dimensional analogue of solid modelling) is discussed. A technique is presented for expressing a planar rational parametric curve as an algebraic curve segment. An upper bound is derived for the farthest distance between two algebraic curves (one of which may also be a parametric curve) within a specified region.