Keskin, Özgür; Altin, Ayşe; Ekmekci, Faik Nejat; Yayli, Yusuf On calculation of the pitch and angle of pitch of a closed ruled surface of dimension \((k + 1)\) using a rotation minimizing frame in Euclidean space \(\mathbb{R}^n\). (English) Zbl 1473.53012 Math. Methods Appl. Sci. 44, No. 8, 7004-7016 (2021). MSC: 53A07 53A04 53A05 57R25 × Cite Format Result Cite Review PDF Full Text: DOI
Farouki, Rida T.; Šír, Zbyněk Mapping rational rotation-minimizing frames from polynomial curves on to rational curves. (English) Zbl 1505.65056 Comput. Aided Geom. Des. 78, Article ID 101833, 13 p. (2020). MSC: 65D17 53A04 × Cite Format Result Cite Review PDF Full Text: DOI Link
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames. (English) Zbl 1410.53002 J. Comput. Appl. Math. 352, 240-254 (2019). MSC: 53A04 68U05 70B10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Moon, Hwan Pyo; Farouki, Rida T. \(C^{1}\) and \(C^{2}\) interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames. (English) Zbl 1505.65083 Comput. Aided Geom. Des. 66, 1-15 (2018). MSC: 65D17 53A04 65D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Farouki, Rida T.; Moon, Hwan Pyo Rational frames of minimal twist along space curves under specified boundary conditions. (English) Zbl 1419.14046 Adv. Comput. Math. 44, No. 5, 1627-1650 (2018). Reviewer: Nelly Villamizar (Swansea) MSC: 14H50 53A04 65D17 68U05 68U07 65D18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Farouki, Rida T. Rational rotation-minimizing frames – recent advances and open problems. (English) Zbl 1410.53001 Appl. Math. Comput. 272, Part 1, 80-91 (2016). MSC: 53A04 65D17 68U05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Farouki, Rida T.; Gutierrez, Robert Geometry of the ringed surfaces in \(\mathbb{R}^4\) that generate spatial Pythagorean hodographs. (English) Zbl 1326.53013 J. Symb. Comput. 73, 87-103 (2016). MSC: 53A07 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Krajnc, Marjeta; Sampoli, Maria Lucia; Sestini, Alessandra; Žagar, Emil \(C^1\) interpolation by rational biarcs with rational rotation minimizing directed frames. (English) Zbl 1364.65027 Comput. Aided Geom. Des. 31, No. 7-8, 427-440 (2014). MSC: 65D05 65D17 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Rena Drawing ruled surfaces using the dual De Boor algorithm. (English) Zbl 1268.65026 Harland, James (ed.), CATS’02. Computing: the Australasian theory symposium. Proceedings of the 8th symposium, Monash, Australia, January 28 – February 1, 2002. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 61, 178-190 (2002). MSC: 65D17 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Hyeong In; Han, Chang Yong Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. (English) Zbl 1043.53005 Comput. Aided Geom. Des. 19, No. 8, 603-620 (2002). MSC: 53A04 65D18 68U05 × Cite Format Result Cite Review PDF Full Text: DOI