Vavpetič, Aleš; Žagar, Emil Optimal approximation of spherical squares by tensor product quadratic Bézier patches. (English) Zbl 07736220 Appl. Math. Comput. 457, Article ID 128196, 12 p. (2023). MSC: 65D05 65D07 65D15 65D17 PDFBibTeX XMLCite \textit{A. Vavpetič} and \textit{E. Žagar}, Appl. Math. Comput. 457, Article ID 128196, 12 p. (2023; Zbl 07736220) Full Text: DOI arXiv
Žagar, Emil Arc length preserving \(G^2\) Hermite interpolation of circular arcs. (English) Zbl 1512.65034 J. Comput. Appl. Math. 424, Article ID 115008, 12 p. (2023). MSC: 65D17 65D05 65D07 PDFBibTeX XMLCite \textit{E. Žagar}, J. Comput. Appl. Math. 424, Article ID 115008, 12 p. (2023; Zbl 1512.65034) Full Text: DOI
Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil On the construction of polynomial minimal surfaces with Pythagorean normals. (English) Zbl 1510.53010 Appl. Math. Comput. 435, Article ID 127439, 12 p. (2022). MSC: 53A10 41A10 41A63 65D17 PDFBibTeX XMLCite \textit{R. T. Farouki} et al., Appl. Math. Comput. 435, Article ID 127439, 12 p. (2022; Zbl 1510.53010) Full Text: DOI
Cigler, Grega; Žagar, Emil Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths. (English) Zbl 07559524 Comput. Aided Geom. Des. 96, Article ID 102119, 14 p. (2022). MSC: 65Dxx PDFBibTeX XMLCite \textit{G. Cigler} and \textit{E. Žagar}, Comput. Aided Geom. Des. 96, Article ID 102119, 14 p. (2022; Zbl 07559524) Full Text: DOI
Vavpetič, Aleš; Žagar, Emil Geometric approximation of the sphere by triangular polynomial spline patches. (English) Zbl 1489.65024 Comput. Aided Geom. Des. 92, Article ID 102061, 12 p. (2022). MSC: 65D07 65D18 PDFBibTeX XMLCite \textit{A. Vavpetič} and \textit{E. Žagar}, Comput. Aided Geom. Des. 92, Article ID 102061, 12 p. (2022; Zbl 1489.65024) Full Text: DOI arXiv
Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil Planar projections of spatial Pythagorean-hodograph curves. (English) Zbl 1480.65044 Comput. Aided Geom. Des. 91, Article ID 102049, 15 p. (2021). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{R. T. Farouki} et al., Comput. Aided Geom. Des. 91, Article ID 102049, 15 p. (2021; Zbl 1480.65044) Full Text: DOI
Vavpetič, Aleš; Žagar, Emil On optimal polynomial geometric interpolation of circular arcs according to the Hausdorff distance. (English) Zbl 1467.65011 J. Comput. Appl. Math. 392, Article ID 113491, 14 p. (2021). MSC: 65D05 65D07 65D17 PDFBibTeX XMLCite \textit{A. Vavpetič} and \textit{E. Žagar}, J. Comput. Appl. Math. 392, Article ID 113491, 14 p. (2021; Zbl 1467.65011) Full Text: DOI arXiv
Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil Spatial \(C^2\) closed-loops of prescribed arc length defined by Pythagorean-hodograph curves. (English) Zbl 1462.51016 Appl. Math. Comput. 391, Article ID 125653, 16 p. (2021). MSC: 51N20 53A04 65D17 65H10 PDFBibTeX XMLCite \textit{R. T. Farouki} et al., Appl. Math. Comput. 391, Article ID 125653, 16 p. (2021; Zbl 1462.51016) Full Text: DOI
Vavpetič, Aleš; Žagar, Emil A general framework for the optimal approximation of circular arcs by parametric polynomial curves. (English) Zbl 1401.65021 J. Comput. Appl. Math. 345, 146-158 (2019). MSC: 65D05 65D07 65D17 PDFBibTeX XMLCite \textit{A. Vavpetič} and \textit{E. Žagar}, J. Comput. Appl. Math. 345, 146--158 (2019; Zbl 1401.65021) Full Text: DOI arXiv Link
Knez, Marjeta; Žagar, Emil Interpolation of circular arcs by parametric polynomials of maximal geometric smoothness. (English) Zbl 1441.65030 Comput. Aided Geom. Des. 63, 66-77 (2018). MSC: 65D18 65D05 65D17 PDFBibTeX XMLCite \textit{M. Knez} and \textit{E. Žagar}, Comput. Aided Geom. Des. 63, 66--77 (2018; Zbl 1441.65030) Full Text: DOI
Žagar, Emil Circular sector area preserving approximation of circular arcs by geometrically smooth parametric polynomials. (English) Zbl 1382.65048 J. Comput. Appl. Math. 336, 63-71 (2018). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{E. Žagar}, J. Comput. Appl. Math. 336, 63--71 (2018; Zbl 1382.65048) Full Text: DOI
Kovač, Boštjan; Žagar, Emil Curvature approximation of circular arcs by low-degree parametric polynomials. (English) Zbl 1338.65029 J. Numer. Math. 24, No. 2, 95-104 (2016). MSC: 65D05 65D07 65D17 PDFBibTeX XMLCite \textit{B. Kovač} and \textit{E. Žagar}, J. Numer. Math. 24, No. 2, 95--104 (2016; Zbl 1338.65029) 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 PDFBibTeX XMLCite \textit{M. Krajnc} et al., Comput. Aided Geom. Des. 31, No. 7--8, 427--440 (2014; Zbl 1364.65027) Full Text: DOI
Bastl, Bohumír; Bizzarri, Michal; Ferjančič, Karla; Kovač, Boštjan; Krajnc, Marjeta; Lávička, Miroslav; Michálková, Kristýna; Šír, Zbyněk; Žagar, Emil \(C^2\) Hermite interpolation by Pythagorean-hodograph quintic triarcs. (English) Zbl 1364.65038 Comput. Aided Geom. Des. 31, No. 7-8, 412-426 (2014). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{B. Bastl} et al., Comput. Aided Geom. Des. 31, No. 7--8, 412--426 (2014; Zbl 1364.65038) Full Text: DOI
Kovač, Boštjan; Žagar, Emil Some new \(G^1\) quartic parametric approximants of circular arcs. (English) Zbl 1334.65043 Appl. Math. Comput. 239, 254-264 (2014). MSC: 65D17 PDFBibTeX XMLCite \textit{B. Kovač} and \textit{E. Žagar}, Appl. Math. Comput. 239, 254--264 (2014; Zbl 1334.65043) Full Text: DOI
Bastl, Bohumír; Bizzarri, Michal; Krajnc, Marjeta; Lávička, Miroslav; Slabá, Kristýna; Šír, Zbyněk; Vitrih, Vito; Žagar, Emil \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs. (English) Zbl 1294.65015 J. Comput. Appl. Math. 257, 65-78 (2014). MSC: 65D05 65D17 65D07 PDFBibTeX XMLCite \textit{B. Bastl} et al., J. Comput. Appl. Math. 257, 65--78 (2014; Zbl 1294.65015) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil High-order parametric polynomial approximation of conic sections. (English) Zbl 1276.41003 Constr. Approx. 38, No. 1, 1-18 (2013). Reviewer: Jeremy Wade (Pittsburg) MSC: 41A10 41A25 65D10 65D17 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Constr. Approx. 38, No. 1, 1--18 (2013; Zbl 1276.41003) Full Text: DOI
Jaklič, Gašper; Kanduč, Tadej; Praprotnik, Selena; Žagar, Emil Energy minimizing mountain ascent. (English) Zbl 1257.90116 J. Optim. Theory Appl. 155, No. 2, 680-693 (2012). MSC: 90C90 90C30 PDFBibTeX XMLCite \textit{G. Jaklič} et al., J. Optim. Theory Appl. 155, No. 2, 680--693 (2012; Zbl 1257.90116) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil An approach to geometric interpolation by Pythagorean-hodograph curves. (English) Zbl 1259.65015 Adv. Comput. Math. 37, No. 1, 123-150 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 65D17 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Adv. Comput. Math. 37, No. 1, 123--150 (2012; Zbl 1259.65015) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil High order parametric polynomial approximation of quadrics in \(\mathbb{R}^d\). (English) Zbl 1244.65024 J. Math. Anal. Appl. 388, No. 1, 318-332 (2012). Reviewer: Angelos Mantzaflaris (Linz) MSC: 65D17 41A10 14Q10 PDFBibTeX XMLCite \textit{G. Jaklič} et al., J. Math. Anal. Appl. 388, No. 1, 318--332 (2012; Zbl 1244.65024) Full Text: DOI
Jaklič, Gašper; Žagar, Emil Curvature variation minimizing cubic Hermite interpolants. (English) Zbl 1243.41001 Appl. Math. Comput. 218, No. 7, 3918-3924 (2011). MSC: 41A05 PDFBibTeX XMLCite \textit{G. Jaklič} and \textit{E. Žagar}, Appl. Math. Comput. 218, No. 7, 3918--3924 (2011; Zbl 1243.41001) Full Text: DOI
Jaklič, Gašper; Žagar, Emil Planar cubic \(G^{1}\) interpolatory splines with small strain energy. (English) Zbl 1214.65005 J. Comput. Appl. Math. 235, No. 8, 2758-2765 (2011). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D07 41A15 65D05 PDFBibTeX XMLCite \textit{G. Jaklič} and \textit{E. Žagar}, J. Comput. Appl. Math. 235, No. 8, 2758--2765 (2011; Zbl 1214.65005) Full Text: DOI
Jaklic, Gasper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Zagar, Emil On interpolation by planar cubic \(G^2\) Pythagorean-hodograph spline curves. (English) Zbl 1200.41003 Math. Comput. 79, No. 269, 305-326 (2010). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A15 41A25 41A30 65D05 65D07 65D17 65D10 PDFBibTeX XMLCite \textit{G. Jaklic} et al., Math. Comput. 79, No. 269, 305--326 (2010; Zbl 1200.41003) Full Text: DOI
Jaklič, Gašper; Vitrih, Vito; Žagar, Emil Closed form formula for the number of restricted compositions. (English) Zbl 1226.05039 Bull. Aust. Math. Soc. 81, No. 2, 289-297 (2010). MSC: 05A17 68R05 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Bull. Aust. Math. Soc. 81, No. 2, 289--297 (2010; Zbl 1226.05039) Full Text: DOI
Jaklič, Gašper; Žagar, Emil Shape preserving interpolation by cubic \(G^{1}\) splines in \({\mathbb{R}^3}\). (English) Zbl 1178.65008 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 2, 259-267 (2008). MSC: 65D05 65D07 41A05 41A15 PDFBibTeX XMLCite \textit{G. Jaklič} and \textit{E. Žagar}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 2, 259--267 (2008; Zbl 1178.65008) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; žagar, Emil Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves. (English) Zbl 1172.65331 Comput. Aided Geom. Des. 25, No. 9, 720-728 (2008). MSC: 65D17 65D05 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Comput. Aided Geom. Des. 25, No. 9, 720--728 (2008; Zbl 1172.65331) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil On geometric Lagrange interpolation by quadratic parametric patches. (English) Zbl 1172.65330 Comput. Aided Geom. Des. 25, No. 6, 373-384 (2008). MSC: 65D17 41A05 68U05 65D05 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Comput. Aided Geom. Des. 25, No. 6, 373--384 (2008; Zbl 1172.65330) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; žagar, Emil Approximation of circular arcs by parametric polynomial curves. (English) Zbl 1177.65026 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 271-279 (2007). MSC: 65D10 65D17 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 271--279 (2007; Zbl 1177.65026) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; žagar, Emil On geometric interpolation of circle-like curves. (English) Zbl 1171.65310 Comput. Aided Geom. Des. 24, No. 5, 241-251 (2007). MSC: 65D05 41A63 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Comput. Aided Geom. Des. 24, No. 5, 241--251 (2007; Zbl 1171.65310) Full Text: DOI
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Žagar, Emil On geometric interpolation by planar parametric polynomial curves. (English) Zbl 1201.41001 Math. Comput. 76, No. 260, 1981-1993 (2007). MSC: 41A05 41A10 41A25 65D05 PDFBibTeX XMLCite \textit{G. Jaklič} et al., Math. Comput. 76, No. 260, 1981--1993 (2007; Zbl 1201.41001) Full Text: DOI