PHquintic
swMATH ID:  14455 
Software Authors:  Dong, B., Farouki, R.T. 
Description:  Algorithm 952: PHquintic: a library of basic functions for the construction and analysis of planar quintic Pythagorean–hodograph curves. The implementation of a library of basic functions for the construction and analysis of planar quintic Pythagoreanhodograph (PH) curves is presented using the complex representation. The special algebraic structure of PH curves permits exact algorithms for the computation of key properties, such as arc length, elastic bending energy, and offset (parallel) curves. Single planar PH quintic segments are constructed as interpolants to firstorder Hermite data (end points and derivatives), and this construction is then extended to open or closed C2 PH quintic spline curves interpolating a sequence of points in the plane. The nonlinear nature of PH curves incurs a multiplicity of formal solutions to such interpolation problems, and a key aspect of the algorithms is to efficiently single out the unique “good” interpolant among them. 
Homepage:  http://dl.acm.org/citation.cfm?id=2699467 
Related Software:  BPOLY 
Referenced in:  4 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 952: PHquintic: a library of basic functions for the construction and analysis of planar quintic Pythagoreanhodograph curves. Zbl 1347.65045 Dong, Bohan; Farouki, Rida T. 
2015

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Referenced by 6 Authors
3  Farouki, Rida T. 
1  Dong, Bohan 
1  Giannelli, Carlotta 
1  Kang, Hongmei 
1  Li, Xin 
1  Sestini, Alessandra 
Referenced in 4 Serials
1  ACM Transactions on Mathematical Software 
1  Computer Aided Geometric Design 
1  Advances in Computational Mathematics 
1  Communications in Mathematics and Statistics 
Referenced in 2 Fields
4  Numerical analysis (65XX) 
1  Computer science (68XX) 