Skala, V.; Karim, S. A. A.; Kadir, E. A. Scientific computing and computer graphics with GPU: application of projective geometry and principle of duality. (English) Zbl 1476.68290 Int. J. Math. Comput. Sci. 15, No. 3, 769-777 (2020). MSC: 68U05 51N15 65D18 65Y10 PDFBibTeX XMLCite \textit{V. Skala} et al., Int. J. Math. Comput. Sci. 15, No. 3, 769--777 (2020; Zbl 1476.68290) Full Text: Link
Herrmann, Christian; Ziegler, Martin Definable relations in finite dimensional subspace lattices with involution. II. Quantifier-free and homogeneous descriptions. (English) Zbl 1468.06020 Algebra Univers. 80, No. 3, Paper No. 28, 26 p. (2019). MSC: 06C20 03C40 14M15 51M35 51N20 PDFBibTeX XMLCite \textit{C. Herrmann} and \textit{M. Ziegler}, Algebra Univers. 80, No. 3, Paper No. 28, 26 p. (2019; Zbl 1468.06020) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. (English) Zbl 1426.37052 Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 37K20 37K40 14H50 14H70 35C08 35Q51 14M15 51M35 55S45 37K10 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019; Zbl 1426.37052) Full Text: DOI arXiv
Dorst, Leo 3D oriented projective geometry through versors of \(\mathbb R^{3,3}\). (English) Zbl 1379.51001 Adv. Appl. Clifford Algebr. 26, No. 4, 1137-1172 (2016). Reviewer: Horst Szambien (Garbsen) MSC: 51A05 15A66 11E88 15A63 15A75 68U05 PDFBibTeX XMLCite \textit{L. Dorst}, Adv. Appl. Clifford Algebr. 26, No. 4, 1137--1172 (2016; Zbl 1379.51001) Full Text: DOI
Arslan, Ogül; Sin, Peter A remark on Grassmann and Veronese embeddings of \(\mathbb{P}^3\) in characteristic 2. (English) Zbl 1333.51001 Innov. Incidence Geom. 14, 111-117 (2015). Reviewer: Ruifang Song (Mountain View) MSC: 51B25 20G15 14M15 PDFBibTeX XMLCite \textit{O. Arslan} and \textit{P. Sin}, Innov. Incidence Geom. 14, 111--117 (2015; Zbl 1333.51001)
Shafarevich, Igor R.; Remizov, Alexey O. Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. (English) Zbl 1256.15001 Berlin: Springer (ISBN 978-3-642-30993-9/hbk; 978-3-642-30994-6/ebook). xxi, 526 p. (2013). Reviewer: Werner Kleinert (Berlin) MSC: 15-01 51-01 15Axx 51Nxx 51M10 20C15 97H60 97G70 PDFBibTeX XMLCite \textit{I. R. Shafarevich} and \textit{A. O. Remizov}, Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Berlin: Springer (2013; Zbl 1256.15001) Full Text: DOI Backlinks: MO
Skala, Václav Computation in projective space. (English) Zbl 1337.68278 Perlovsky, Leonid (ed.) et al., Mathematical methods, system theory and control. Proceedings of the 11th WSEAS international conference on mathematical methods, computational techniques and intelligent systems (MAMECTIS ’09). Proceedings of the 8th WSEAS international conference on non-linear analysis, non-linear systems and chaos (NOLASC ’09). Proceedings of the 5th WSEAS international conference on dynamical systems and control (CONTROL ’09), University of La Laguna, Tenerife, Canary Islands, Spain, July 1–3, 2009. Athens: WSEAS Press (ISBN 978-960-474-094-9/hbk; 978-960-474-095-6/cd-rom). Mathematics and Computers in Science and Engineering, 152-157 (2009). MSC: 68U05 51N15 PDFBibTeX XMLCite \textit{V. Skala}, in: Mathematical methods, system theory and control. Proceedings of the 11th WSEAS international conference on mathematical methods, computational techniques and intelligent systems (MAMECTIS '09). Proceedings of the 8th WSEAS international conference on non-linear analysis, non-linear systems and chaos (NOLASC '09). Proceedings of the 5th WSEAS international conference on dynamical systems and control (CONTROL '09), University of La Laguna, Tenerife, Canary Islands, Spain, July 1--3, 2009. Athens: WSEAS Press. 152--157 (2009; Zbl 1337.68278)
Richter-Gebert, Jürgen; Orendt, Thorsten Geometries. (Geometriekalküle.) (German) Zbl 1181.00003 Springer-Lehrbuch. Berlin: Springer (ISBN 978-3-642-02529-7/pbk; 978-3-642-02530-3/ebook). xi, 224 p. (2009). Reviewer: Rolf Riesinger (Wien) MSC: 00A05 51-01 51A05 51A25 51A45 51B10 51B25 51M05 51N15 65Z05 PDFBibTeX XMLCite \textit{J. Richter-Gebert} and \textit{T. Orendt}, Geometriekalküle. Berlin: Springer (2009; Zbl 1181.00003) Full Text: DOI
Arnold, Gregory; Stiller, Peter F.; Sturtz, Kirk Object-image metrics for generalized weak perspective projection. (English) Zbl 1188.68243 Krim, Hamid (ed.) et al., Statistics and analysis of shapes. Boston, MA: Birkhäuser (ISBN 0-8176-4376-1/hbk). Modeling and Simulation in Science, Engineering and Technology, 253-279 (2006). MSC: 68T10 68T45 94A08 92C55 51M99 53A40 54C35 PDFBibTeX XMLCite \textit{G. Arnold} et al., in: Statistics and analysis of shapes. Boston, MA: Birkhäuser. 253--279 (2006; Zbl 1188.68243) Full Text: DOI
Smadja, Laurent; Benosman, Ryad; Devars, Jean Cylindrical calibration for hybrid epipolar configurations. (Matrice semi fondamentale pour système de stéréoscopie hybride.) (French) Zbl 1090.94511 Trait. Signal 22, No. 5, 513-526 (2005). MSC: 94A08 68U10 51N20 PDFBibTeX XMLCite \textit{L. Smadja} et al., Trait. Signal 22, No. 5, 513--526 (2005; Zbl 1090.94511)
Odehnal, Boris On the geometric generation of linear line mappings. (Zur geometrischen Erzeugung linearer Geradenabbildungen.) (German) Zbl 1114.51007 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 213, 43-69 (2004). Reviewer: Rolf Riesinger (Wien) MSC: 51M15 51M30 51N15 PDFBibTeX XMLCite \textit{B. Odehnal}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 213, 43--69 (2004; Zbl 1114.51007)
Niu, Xingwen Plücker coordinates representation of the relations and operations between linear subspaces. (Chinese. English summary) Zbl 0985.51017 J. Math. Res. Expo. 21, No. 1, 143-147 (2001). MSC: 51N20 51M30 PDFBibTeX XMLCite \textit{X. Niu}, J. Math. Res. Expo. 21, No. 1, 143--147 (2001; Zbl 0985.51017)
Cossidente, A.; Hirschfeld, J. W. P.; Storme, L. Applications of line geometry. III: The quadric Veronesean and the chords of a twisted cubic. (English) Zbl 0889.51018 Australas. J. Comb. 16, 99-111 (1997). MSC: 51E26 51M35 PDFBibTeX XMLCite \textit{A. Cossidente} et al., Australas. J. Comb. 16, 99--111 (1997; Zbl 0889.51018)
Crapo, Henry; Penne, Rudi Chirality and the isotopy classification of skew lines in projective 3- space. (English) Zbl 0802.51024 Adv. Math. 103, No. 1, 1-106 (1994). Reviewer: H.-D.Hecker (Jena) MSC: 51M30 51N15 14N10 PDFBibTeX XMLCite \textit{H. Crapo} and \textit{R. Penne}, Adv. Math. 103, No. 1, 1--106 (1994; Zbl 0802.51024) Full Text: DOI Link
Ryan, Charles T.; Ryan, Kevin M. The minimum weight of the Grassmann codes C(k,n). (English) Zbl 0705.94017 Discrete Appl. Math. 28, No. 2, 149-156 (1990). MSC: 94B60 14M15 51M35 PDFBibTeX XMLCite \textit{C. T. Ryan} and \textit{K. M. Ryan}, Discrete Appl. Math. 28, No. 2, 149--156 (1990; Zbl 0705.94017) Full Text: DOI
Kempf, George R. Equations of isotropy. (English) Zbl 0691.20030 Group actions and invariant theory, Proc. Conf., Montreal/Can. 1988, CMS Conf. Proc. 10, 85-91 (1989). Reviewer: B.Srinivasan MSC: 20G05 20G15 15A72 51F25 PDFBibTeX XML
Makokha, A. N. Singular lines of a linear complex of planes of type \(A_ 5\). (English. Russian original) Zbl 0598.51022 Sov. Math. 29, No. 12, 28-34 (1985); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 12(283), 22-26 (1985). Reviewer: Vladimir L. Popov (Moskva) MSC: 51N35 PDFBibTeX XMLCite \textit{A. N. Makokha}, Sov. Math. 29, No. 12, 28--34 (1985; Zbl 0598.51022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 12(283), 22--26 (1985)
d’Arcais, F. On coordinates systems. (Sui sistemi di coordinate.) (Italian) JFM 10.0441.01 Battaglini G. XVI, 18-26 (1878). Reviewer: Schlegel, Dr. (Waren) MSC: 51N20 51N35 14H50 PDFBibTeX XMLCite \textit{F. d'Arcais}, Battaglini G. 16, 18--26 (1878; JFM 10.0441.01)
Casorati, F. About the coordinates of points and lines on the plane and of the points and planes in space. (Sulle coordinate dei punti e delle rette nel piano, dei punti e dei piani nello spazio.) (Italian) JFM 09.0468.03 Rend. Ist. Lomb. (2) X, 11-19 (1877); X, 40-45 (1877). Reviewer: Klein, Felix, Prof. (München) MSC: 51N15 51A05 14N05 PDFBibTeX XMLCite \textit{F. Casorati}, Ist. Lombardo, Rend., II. Ser. 10, 11--19 (1877; JFM 09.0468.03)
Voss, A. On the theory of undevelopable surfaces. (Zur Theorie der windschiefen Flächen.) (German) JFM 06.0524.01 Clebsch Ann. VIII, 54-136 (1875). Reviewer: August, Dr. (Berlin) MSC: 53A25 51N35 53A20 51N15 PDFBibTeX XMLCite \textit{A. Voss}, Math. Ann. 8, 54--136 (1875; JFM 06.0524.01) Full Text: DOI EuDML
Fiedler, W. Die darstellende Geometrie. (German) JFM 03.0252.01 Leipzig. Teubner (1871). Reviewer: Scholz, Dr. (Berlin) MSC: 51-01 51N05 PDFBibTeX XML
Drach v. To the theory of lines in space and line complexes. (Zur Theorie der Raumgeraden und der linearen Complexe.) (German) JFM 02.0602.02 Clebsch Ann. II, 128-139 (1870). Reviewer: Schumann, Dr. (Berlin) MSC: 51N20 51M30 PDFBibTeX XMLCite \textit{Drach v}, Math. Ann. 2, 128--139 (1870; JFM 02.0602.02) Full Text: DOI
Janni, G. Exposition of Plücker’s new geometry. (Espozizione della nuova geometria di Plücker.) (Italian) JFM 02.0601.02 Battaglini G. VIII, 302 (1870). Reviewer: Maynz, Dr. (Ludwigslust) MSC: 51N20 51M30 PDFBibTeX XMLCite \textit{G. Janni}, Battaglini G. 8, 302 (1870; JFM 02.0601.02)
Clebsch, A. On the complexes of Plücker. (Ueber die Plücker’schen Complexe.) (German) JFM 02.0602.01 Clebsch Ann. II, 1-8 (1869). Reviewer: Teichert, Dr. (Freienwalde a.O.) MSC: 51N20 51M30 PDFBibTeX XMLCite \textit{A. Clebsch}, Math. Ann. 2, 1--8 (1869; JFM 02.0602.01) Full Text: DOI EuDML
Plücker, J. New geometry of space, based on the consideration of the line as an element of space. (Neue Geometrie des Raumes, gegründet auf die Betrachtung der geraden Linie als Raumelement. Leipzig. Teubner. Erste Abtheilung mit einem Vorwort von A. Clebsch, 1868. Zweite Abtheilung, herausgegeben von Felix Klein, 1869.) (German) JFM 02.0601.01 Gött. Anz. 1869. 1569-1581 (1869). Reviewer: Teichert, Dr. (Freienwalde a.O.) MSC: 51N20 51M30 PDFBibTeX XML Full Text: Link
Plücker, Julius New geometry of [3-dimensional] space based on the consideration of stright lines as space elements. Two parts in one volume. Part 1 1868 with a foreword by A. Clebsch. Part 2 1869, edited by F. Klein. (Neue Geometrie des Raumes gegründet auf die Betrachtung der geraden Linie als Raumelement. Zwei Abtheilungen in einem Bande. I. Abth. 1868 mit einem Vorwort von A. Clebsch. II. Abth. 1869, herausgegeben von F. Klein.) (German) JFM 01.0198.01 Leipzig, Teubner (1868). Reviewer: Teichert, Dr. (Freienwalde a.O.) MSC: 14N05 51N15 PDFBibTeX XML