Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
Conic approximation of conic offsets
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
IGB-offset for plane curves—loop removal by scanning of interval sequences
Computer Aided Geometric Design
Uneven offset method of NC tool path generation for free-form pocket machining
Computers in Industry
CIM algorithm for approximating three-dimensional polygonal curves
Journal of Computer Science and Technology
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Approximation of circular arcs and offset curves by Bézier curves of high degree
Journal of Computational and Applied Mathematics
Unbalanced hermite interpolation with tschirnhausen cubics
CIS'04 Proceedings of the First international conference on Computational and Information Science
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Polyline curves which are composed of line segments and arcs are widely used in engineering applications. In this paper, a novel offset algorithm for polyline curves is proposed. The offset algorithm comprises three steps. Firstly, the offsets of all the segments of polyline curves are calculated. Then all the offsets are trimmed or joined to build polyline curves that are called untrimmed offset curves. Finally, a clipping algorithm is applied to the untrimmed offset curves to yield the final results. The offset algorithm can deal with polyline curves that are self-intersection, overlapping or containing small arcs. The new algorithm has been implemented in a commercial system TiOpenCAD 8.0 and its reliability is verified by a great number of examples.