Rational Pythagorean-hodograph space curves☆
Highlights
► Rational PH space curves defined by vector field and scalar function. ► Curve is specified as edge of regression of tangent developable. ► Geometric Hermite interpolation by solution of linear equations. ► Conditions for existence of rational rotation-minimizing frames.
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2022, Computer Aided Geometric DesignCitation Excerpt :Albrecht et al. (2017, 2020) introduced PH B spline curves, whose offsets are NURBS curves. The theoretical results of PH curves are also extended to spatial PH curves (Sakkalis and Farouki, 2012; Farouki et al., 2002; Albrecht et al., 2020), Minkowski PH curves (Moon, 2008) and rational PH curves (Pottmann, 1995; Farouki and Šír, 2011). More details can be found in comprehensive references (Farouki et al., 2008; Kosinka and Lavicka, 2014).
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This paper has been recommended for acceptance by G.E. Farin.