Bendokat, Thomas; Zimmermann, Ralf; Absil, P.-A. A Grassmann manifold handbook: basic geometry and computational aspects. (English) Zbl 07796538 Adv. Comput. Math. 50, No. 1, Paper No. 6, 51 p. (2024). MSC: 53-02 51-02 53A15 14M15 15B10 15A18 51A50 51N05 51N10 PDFBibTeX XMLCite \textit{T. Bendokat} et al., Adv. Comput. Math. 50, No. 1, Paper No. 6, 51 p. (2024; Zbl 07796538) Full Text: DOI arXiv
Davydov, Alexander A.; Marcugini, Stefano; Pambianco, Fernanda Upper bounds on the length function for covering codes with covering radius \(R\) and codimension \(tR+1\). (English) Zbl 1521.94137 Adv. Math. Commun. 17, No. 1, 98-118 (2023). MSC: 94B75 94B05 51E21 51E22 PDFBibTeX XMLCite \textit{A. A. Davydov} et al., Adv. Math. Commun. 17, No. 1, 98--118 (2023; Zbl 1521.94137) Full Text: DOI arXiv
Betsakos, Dimitrios; Solynin, Alexander; Vuorinen, Matti Conformal capacity of hedgehogs. (English) Zbl 1508.30048 Conform. Geom. Dyn. 27, 55-97 (2023). MSC: 30C85 31A15 51M10 PDFBibTeX XMLCite \textit{D. Betsakos} et al., Conform. Geom. Dyn. 27, 55--97 (2023; Zbl 1508.30048) Full Text: DOI arXiv
Wang, Yu Guang; Womersley, Robert S.; Wu, Hau-Tieng; Yu, Wei-Hsuan Numerical computation of triangular complex spherical designs with small mesh ratio. (English) Zbl 1498.65038 J. Comput. Appl. Math. 421, Article ID 114796, 15 p. (2023). MSC: 65D30 32A50 32C15 32Q10 51M25 62K05 65K10 PDFBibTeX XMLCite \textit{Y. G. Wang} et al., J. Comput. Appl. Math. 421, Article ID 114796, 15 p. (2023; Zbl 1498.65038) Full Text: DOI arXiv
Nanda, Pritam; Singha, Chiranjeeb; Tripathy, Pabitra; Ghosh, Amit Hawking radiation as quantum mechanical reflection. (English) Zbl 1515.83058 Gen. Relativ. Gravitation 54, No. 10, Paper No. 120, 18 p. (2022). MSC: 83C30 83C57 83C45 51F15 76P05 80A10 52A55 81U26 PDFBibTeX XMLCite \textit{P. Nanda} et al., Gen. Relativ. Gravitation 54, No. 10, Paper No. 120, 18 p. (2022; Zbl 1515.83058) Full Text: DOI arXiv
Bay, Thierry; Cattiaux-Huillard, Isabelle; Saini, Laura Hermite interpolation by planar cubic-like ATPH. (English) Zbl 07608422 Adv. Comput. Math. 48, No. 5, Paper No. 64, 24 p. (2022). MSC: 65-XX 41A05 42A15 51N05 65D05 65D07 65D10 65D17 68U07 PDFBibTeX XMLCite \textit{T. Bay} et al., Adv. Comput. Math. 48, No. 5, Paper No. 64, 24 p. (2022; Zbl 07608422) Full Text: DOI
Nicuşor, Minculete; Laurian-Ioan, Pişcoran Vectorial and metrical relations in tetrahedron. (English) Zbl 1508.51010 J. Math. Inequal. 16, No. 2, 687-706 (2022). Reviewer: Lionel Pournin (Paris) MSC: 51M20 51M25 PDFBibTeX XMLCite \textit{M. Nicuşor} and \textit{P. Laurian-Ioan}, J. Math. Inequal. 16, No. 2, 687--706 (2022; Zbl 1508.51010) Full Text: DOI
Gunter, Slade; Palsson, Eyvi; Rhodes, Ben; Senger, Steven Bounds on point configurations determined by distances and dot products. (English) Zbl 07620497 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 243-260 (2021). MSC: 51A20 11Txx 52C10 PDFBibTeX XMLCite \textit{S. Gunter} et al., Springer Proc. Math. Stat. 347, 243--260 (2021; Zbl 07620497) Full Text: DOI arXiv
Akopyan, Arseniy V.; Bobenko, Alexander I.; Schief, Wolfgang K.; Techter, Jan On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs. (English) Zbl 1473.51004 Discrete Comput. Geom. 66, No. 3, 938-976 (2021). MSC: 51B15 51N20 52C99 53A60 PDFBibTeX XMLCite \textit{A. V. Akopyan} et al., Discrete Comput. Geom. 66, No. 3, 938--976 (2021; Zbl 1473.51004) 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
Altunkaya, Bülent Mappings that preserve helices in the \(n\)-dimensional Minkowski spaces. (English) Zbl 07813576 Int. J. Geom. Methods Mod. Phys. 17, No. 10, Article ID 2050107, 13 p. (2020). MSC: 51B20 53B30 53B50 PDFBibTeX XMLCite \textit{B. Altunkaya}, Int. J. Geom. Methods Mod. Phys. 17, No. 10, Article ID 2050107, 13 p. (2020; Zbl 07813576) Full Text: DOI
Cattiaux-Huillard, Isabelle; Saini, Laura Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves. (English) Zbl 07188448 Adv. Comput. Math. 46, No. 2, Paper No. 28, 28 p. (2020). MSC: 65D17 51N05 PDFBibTeX XMLCite \textit{I. Cattiaux-Huillard} and \textit{L. Saini}, Adv. Comput. Math. 46, No. 2, Paper No. 28, 28 p. (2020; Zbl 07188448) Full Text: DOI
Bobenko, Alexander I.; Schief, Wolfgang K.; Techter, Jan Checkerboard incircular nets: Laguerre geometry and parametrisation. (English) Zbl 1432.51003 Geom. Dedicata 204, 97-129 (2020). MSC: 51B15 37J35 51N15 PDFBibTeX XMLCite \textit{A. I. Bobenko} et al., Geom. Dedicata 204, 97--129 (2020; Zbl 1432.51003) Full Text: DOI arXiv
Zhang, Erchuan; Noakes, Lyle Optimal interpolants on Grassmann manifolds. (English) Zbl 1422.53009 Math. Control Signals Syst. 31, No. 3, 363-383 (2019). MSC: 53A17 53B20 53Z05 51P05 49Q99 49K15 PDFBibTeX XMLCite \textit{E. Zhang} and \textit{L. Noakes}, Math. Control Signals Syst. 31, No. 3, 363--383 (2019; Zbl 1422.53009) Full Text: DOI
da Silva, Luiz C. B. The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces. (English) Zbl 1418.51012 J. Geom. 110, No. 2, Paper No. 31, 18 p. (2019). MSC: 51N25 53A35 53A55 53B05 PDFBibTeX XMLCite \textit{L. C. B. da Silva}, J. Geom. 110, No. 2, Paper No. 31, 18 p. (2019; Zbl 1418.51012) Full Text: DOI arXiv
Anisimov, Dmitry; Hormann, Kai; Schneider, Teseo Behaviour of exponential three-point coordinates at the vertices of convex polygons. (English) Zbl 1524.65090 J. Comput. Appl. Math. 350, 114-129 (2019). MSC: 65D18 51M20 51N20 PDFBibTeX XMLCite \textit{D. Anisimov} et al., J. Comput. Appl. Math. 350, 114--129 (2019; Zbl 1524.65090) Full Text: DOI Link
Nawratil, Georg Alternative interpretation of the Plücker quadric’s ambient space and its application. (English) Zbl 1400.51010 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 918-929 (2019). MSC: 51M05 51A05 PDFBibTeX XMLCite \textit{G. Nawratil}, Adv. Intell. Syst. Comput. 809, 918--929 (2019; Zbl 1400.51010) Full Text: DOI arXiv
Noack, Kevin; Lordick, Daniel Optimized ruled surfaces with an application to thin-walled concrete shells. (English) Zbl 1400.51021 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 338-349 (2019). MSC: 51M30 53A05 PDFBibTeX XMLCite \textit{K. Noack} and \textit{D. Lordick}, Adv. Intell. Syst. Comput. 809, 338--349 (2019; Zbl 1400.51021) Full Text: DOI
Nawratil, Georg The Plücker quadric’s ambient space: alternative interpretation and its application. (English) Zbl 1412.51018 J. Geom. Graph. 22, No. 2, 229-244 (2018). MSC: 51M30 53A17 PDFBibTeX XMLCite \textit{G. Nawratil}, J. Geom. Graph. 22, No. 2, 229--244 (2018; Zbl 1412.51018) Full Text: Link
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria On the honeycomb conjecture for a class of minimal convex partitions. (English) Zbl 1396.52024 Trans. Am. Math. Soc. 370, No. 10, 7149-7179 (2018). MSC: 52C20 51M16 65N25 49Q10 PDFBibTeX XMLCite \textit{D. Bucur} et al., Trans. Am. Math. Soc. 370, No. 10, 7149--7179 (2018; Zbl 1396.52024) Full Text: DOI arXiv
Klawitter, Daniel; Tonn, Christian; Bringmann, Oliver A dual quaternion based pipe alignment algorithm for constrained pipe systems. (English) Zbl 1390.53010 J. Geom. Graph. 21, No. 1, 119-130 (2017). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A17 68U07 51N20 PDFBibTeX XMLCite \textit{D. Klawitter} et al., J. Geom. Graph. 21, No. 1, 119--130 (2017; Zbl 1390.53010) Full Text: Link
Müller, Christian Planar discrete isothermic nets of conical type. (English) Zbl 1338.51003 Beitr. Algebra Geom. 57, No. 2, 459-482 (2016). MSC: 51B10 52B70 52C26 53A10 PDFBibTeX XMLCite \textit{C. Müller}, Beitr. Algebra Geom. 57, No. 2, 459--482 (2016; Zbl 1338.51003) Full Text: DOI
Dahl, Heidi E. I. Isotropic Möbius geometry and i-M circles on singular isotropic cyclides. (English) Zbl 1365.51001 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 160-168 (2015). MSC: 51B10 PDFBibTeX XMLCite \textit{H. E. I. Dahl}, Lect. Notes Comput. Sci. 9213, 160--168 (2015; Zbl 1365.51001) Full Text: DOI
Huhnen-Venedey, Emanuel; Rörig, Thilo Discretization of asymptotic line parametrizations using hyperboloid surface patches. (English) Zbl 1286.51015 Geom. Dedicata 168, 265-289 (2014). MSC: 51M30 53A05 65D17 PDFBibTeX XMLCite \textit{E. Huhnen-Venedey} and \textit{T. Rörig}, Geom. Dedicata 168, 265--289 (2014; Zbl 1286.51015) Full Text: DOI arXiv
Nilov, Fedor; Skopenkov, Mikhail A surface containing a line and a circle through each point is a quadric. (English) Zbl 1273.14077 Geom. Dedicata 163, 301-310 (2013). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14J26 51M04 PDFBibTeX XMLCite \textit{F. Nilov} and \textit{M. Skopenkov}, Geom. Dedicata 163, 301--310 (2013; Zbl 1273.14077) Full Text: DOI arXiv
Li, Tongzhu Laguerre homogeneous surfaces in \(\mathbb R^3\). (English) Zbl 1286.53014 Sci. China, Math. 55, No. 6, 1197-1214 (2012). Reviewer: Norbert Knarr (Gießen) MSC: 53A40 51B15 PDFBibTeX XMLCite \textit{T. Li}, Sci. China, Math. 55, No. 6, 1197--1214 (2012; Zbl 1286.53014) Full Text: DOI
Bobenko, Alexander I.; Huhnen-Venedey, Emanuel Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides. (English) Zbl 1404.53013 Geom. Dedicata 159, 207-237 (2012). MSC: 53A30 51B10 PDFBibTeX XMLCite \textit{A. I. Bobenko} and \textit{E. Huhnen-Venedey}, Geom. Dedicata 159, 207--237 (2012; Zbl 1404.53013) Full Text: DOI arXiv
Bannai, Eiichi; Bannai, Etsuko Tight 9-designs on two concentric spheres. (English) Zbl 1235.05026 J. Math. Soc. Japan 63, No. 4, 1359-1376 (2011). MSC: 05B30 51M04 65D32 PDFBibTeX XMLCite \textit{E. Bannai} and \textit{E. Bannai}, J. Math. Soc. Japan 63, No. 4, 1359--1376 (2011; Zbl 1235.05026) Full Text: DOI arXiv
Kosinka, Jiří; Lávička, Miroslav A unified Pythagorean hodograph approach to the medial axis transform and offset approximation. (English) Zbl 1217.65041 J. Comput. Appl. Math. 235, No. 12, 3413-3424 (2011). MSC: 65D17 65D05 51B20 PDFBibTeX XMLCite \textit{J. Kosinka} and \textit{M. Lávička}, J. Comput. Appl. Math. 235, No. 12, 3413--3424 (2011; Zbl 1217.65041) Full Text: DOI
Pottmann, Helmut; Grohs, Philipp; Blaschitz, Bernhard Edge offset meshes in Laguerre geometry. (English) Zbl 1213.68654 Adv. Comput. Math. 33, No. 1, 45-73 (2010). MSC: 68U05 53A40 51B15 PDFBibTeX XMLCite \textit{H. Pottmann} et al., Adv. Comput. Math. 33, No. 1, 45--73 (2010; Zbl 1213.68654) Full Text: DOI
Kosinka, Jiří; Lávička, Miroslav On rational Minkowski Pythagorean hodograph curves. (English) Zbl 1211.51002 Comput. Aided Geom. Des. 27, No. 7, 514-524 (2010). MSC: 51B20 53A04 14H50 PDFBibTeX XMLCite \textit{J. Kosinka} and \textit{M. Lávička}, Comput. Aided Geom. Des. 27, No. 7, 514--524 (2010; Zbl 1211.51002) Full Text: DOI
Bobenko, Alexander I.; Pottmann, Helmut; Wallner, Johannes A curvature theory for discrete surfaces based on mesh parallelity. (English) Zbl 1219.51014 Math. Ann. 348, No. 1, 1-24 (2010). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 51K10 37K25 52A39 52B70 53A05 53A10 53C42 65D17 PDFBibTeX XMLCite \textit{A. I. Bobenko} et al., Math. Ann. 348, No. 1, 1--24 (2010; Zbl 1219.51014) Full Text: DOI arXiv
Pottmann, Helmut; Grohs, Philipp; Mitra, Niloy J. Laguerre minimal surfaces, isotropic geometry and linear elasticity. (English) Zbl 1425.65034 Adv. Comput. Math. 31, No. 4, 391-419 (2009). MSC: 65D17 51B15 53A40 PDFBibTeX XMLCite \textit{H. Pottmann} et al., Adv. Comput. Math. 31, No. 4, 391--419 (2009; Zbl 1425.65034) Full Text: DOI
Choi, Hyeong In; Farouki, Rida T.; Han, Chang Yong; Moon, Hwan Pyo Computing the Minkowski value of the exponential function over a complex disk. (English) Zbl 1166.65323 Kapur, Deepak (ed.), Computer mathematics. 8th Asian symposium, ASCM 2007, Singapore, December 15–17, 2007. Revised and invited papers. Berlin: Springer (ISBN 978-3-540-87826-1/pbk). Lecture Notes in Computer Science 5081. Lecture Notes in Artificial Intelligence, 1-21 (2008). MSC: 65E05 51B20 65D17 PDFBibTeX XMLCite \textit{H. I. Choi} et al., Lect. Notes Comput. Sci. 5081, 1--21 (2008; Zbl 1166.65323) Full Text: DOI
Wallner, Johannes; Pottmann, Helmut Infinitesimally flexible meshes and discrete minimal surfaces. (English) Zbl 1151.53011 Monatsh. Math. 153, No. 4, 347-365 (2008). MSC: 53A10 52C99 51B15 65D18 PDFBibTeX XMLCite \textit{J. Wallner} and \textit{H. Pottmann}, Monatsh. Math. 153, No. 4, 347--365 (2008; Zbl 1151.53011) Full Text: DOI
Farouki, Rida T.; Han, Chang Yong; Hass, Joel Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves. (English) Zbl 1087.65011 Numer. Algorithms 40, No. 3, 251-283 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D17 65G30 51B20 PDFBibTeX XMLCite \textit{R. T. Farouki} et al., Numer. Algorithms 40, No. 3, 251--283 (2005; Zbl 1087.65011) Full Text: DOI
Farouki, Rida T.; Han, Chang Yong Solution of elementary equations in the Minkowski geometric algebra of complex sets. (English) Zbl 1065.51002 Adv. Comput. Math. 22, No. 4, 301-323 (2005). MSC: 51B20 PDFBibTeX XMLCite \textit{R. T. Farouki} and \textit{C. Y. Han}, Adv. Comput. Math. 22, No. 4, 301--323 (2005; Zbl 1065.51002) Full Text: DOI
Cho, Hee Cheol; Choi, Hyeong In; Kwon, Song-Hwa; Lee, Doo Seok; Wee, Nam-Sook Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces. (English) Zbl 1069.15500 Comput. Aided Geom. Des. 21, No. 4, 327-339 (2004). MSC: 15A66 51N25 PDFBibTeX XMLCite \textit{H. C. Cho} et al., Comput. Aided Geom. Des. 21, No. 4, 327--339 (2004; Zbl 1069.15500) Full Text: DOI
Carnicer, J. M.; Mainar, E.; Peña, J. M. Representing circles with five control points. (English) Zbl 1069.65509 Comput. Aided Geom. Des. 20, No. 8-9, 501-511 (2003). MSC: 65D17 51N25 68U05 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Comput. Aided Geom. Des. 20, No. 8--9, 501--511 (2003; Zbl 1069.65509) Full Text: DOI
Pottmann, Helmut Curve design with rational Pythagorean-hodograph curves. (English) Zbl 0831.65013 Adv. Comput. Math. 3, No. 1-2, 147-170 (1995). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D17 65D18 51N15 PDFBibTeX XMLCite \textit{H. Pottmann}, Adv. Comput. Math. 3, No. 1--2, 147--170 (1995; Zbl 0831.65013) Full Text: DOI
Molland, A. G. Shifting the foundations: Descartes’s transformation of ancient geometry. (English) Zbl 0332.01005 Hist. Math. 3, 21-49 (1976). MSC: 01A45 51-03 PDFBibTeX XMLCite \textit{A. G. Molland}, Hist. Math. 3, 21--49 (1976; Zbl 0332.01005) Full Text: DOI