Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 79, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cagd.2020.101873
Keywords
Quartic Bezier curves; Offset curves; Pythagorean hodograph
Funding
- MOE Tier-2 Grant of Singapore [2017-T2-1-076]
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Planar polynomial curves have rational offset curves, if they are either Pythagorean-hodograph (PH) or indirect Pythagorean-hodograph (iPH) curves. In this paper, we derive an algebraic and two geometric characterizations for planar quartic iPH curves. The characterizations are given in terms of quantities related to the Bezier control polygon of the curve, and naturally extend to quartic and cubic PH and quadratic iPH curves. (C) 2020 Elsevier B.V. All rights reserved.
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