Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves
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Publication:395899
DOI10.1016/j.cagd.2014.02.002zbMath1293.65027OpenAlexW2070711497WikidataQ114202363 ScholiaQ114202363MaRDI QIDQ395899
Publication date: 7 August 2014
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2014.02.002
complex polynomialsPythagorean-hodograph curves\(G^2\) continuitycurvature distributionrounded corners
Related Items (10)
Classification of polynomial minimal surfaces ⋮ Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths ⋮ Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves ⋮ Geometric characteristics of planar quintic Pythagorean-hodograph curves ⋮ Rational swept surface constructions based on differential and integral sweep curve properties ⋮ High speed machining for linear paths blended with \(G3\) continuous Pythagorean-hodograph curves ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Unnamed Item ⋮ Identification of two classes of planar septic Pythagorean hodograph curves ⋮ Unnamed Item
Cites Work
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- Pythagorean-hodograph curves. Algebra and geometry inseparable
- G\(^{2}\) curves composed of planar cubic and Pythagorean hodograph quintic spirals
- The conformal map \(z\to z^ 2\) of the hodograph plane
- A planar cubic Bézier spiral
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- FAIRING ARC SPLINE AND DESIGNING BY USING CUBIC BÉZIER SPIRAL SEGMENTS
- Cubic Spiral Transition Matching G2 Hermite End Conditions
- G2blends of linear segments with cubics and Pythagorean-hodograph quintics
- Clothoid Spline Transition Spirals
- Planar \(G^2\) transition with a fair Pythagorean hodograph quintic curve
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