{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T03:52:56Z","timestamp":1742961176239,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319420844"},{"type":"electronic","value":"9783319420851"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-42085-1_2","type":"book-chapter","created":{"date-parts":[[2016,7,1]],"date-time":"2016-07-01T02:50:27Z","timestamp":1467341427000},"page":"18-35","source":"Crossref","is-referenced-by-count":5,"title":["\u201cExtended Cross-Product\u201d and Solution of a Linear System of Equations"],"prefix":"10.1007","author":[{"given":"Vaclav","family":"Skala","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,7,21]]},"reference":[{"key":"2_CR1","volume-title":"Introduction to Geometry","author":"HSM Coxeter","year":"1961","unstructured":"Coxeter, H.S.M.: Introduction to Geometry. Wiley, New York (1961)"},{"key":"2_CR2","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511807497","volume-title":"Geometric Algebra for Physicists","author":"Ch Doran","year":"2003","unstructured":"Doran, Ch., Lasenby, A.: Geometric Algebra for Physicists. Cambridge University Press, Cambridge (2003)"},{"key":"2_CR3","volume-title":"Geometric Algebra for Computer Science","author":"L Dorst","year":"2007","unstructured":"Dorst, L., Fontine, D., Mann, S.: Geometric Algebra for Computer Science. Morgan Kaufmann, San Francisco (2007)"},{"key":"2_CR4","unstructured":"Calvet, R.G.: Treatise of Plane Geometry through Geometric Algebra (2007)"},{"key":"2_CR5","volume-title":"MultiView Geometry in Computer Vision","author":"R Hartley","year":"2000","unstructured":"Hartley, R., Zisserman, A.: MultiView Geometry in Computer Vision. Cambridge University Press, Cambridge (2000)"},{"key":"2_CR6","series-title":"Geometry and Computing","volume-title":"Foundations of Geometric Algebra Computing","author":"D Hildenbrand","year":"2012","unstructured":"Hildenbrand, D.: Foundations of Geometric Algebra Computing. Geometry and Computing. Springer, Heidelberg (2012)"},{"key":"2_CR7","doi-asserted-by":"crossref","DOI":"10.1201\/b18273","volume-title":"Understanding Geometric Algebra","author":"K Kanatani","year":"2015","unstructured":"Kanatani, K.: Understanding Geometric Algebra. CRC Press, Boca Raton (2015)"},{"key":"2_CR8","unstructured":"Krumm, J.: Intersection of Two Planes, Microsoft Research, May 2000. http:\/\/research.microsoft.com\/apps\/pubs\/default.aspx?id=68640"},{"issue":"11","key":"2_CR9","first-page":"171","volume":"32","author":"M Johnson","year":"1996","unstructured":"Johnson, M.: Proof by duality: or the discovery of \u201cnew\u201d theorems. Math. Today 32(11), 171\u2013174 (1996)","journal-title":"Math. Today"},{"key":"2_CR10","volume-title":"Linear and Geometric Algebra","author":"A MacDonald","year":"2011","unstructured":"MacDonald, A.: Linear and Geometric Algebra. CreateSpace, Charleston (2011)"},{"issue":"11","key":"2_CR11","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1007\/s00371-005-0305-3","volume":"21","author":"V Skala","year":"2005","unstructured":"Skala, V.: A new approach to line and line segment clipping in homogeneous coordinates. Vis. Comput. 21(11), 905\u2013914 (2005)","journal-title":"Vis. Comput."},{"issue":"4","key":"2_CR12","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1142\/S0219467806002422","volume":"6","author":"V Skala","year":"2006","unstructured":"Skala, V.: Length, area and volume computation in homogeneous coordinates. Int. J. Image Graph. 6(4), 625\u2013639 (2006)","journal-title":"Int. J. Image Graph."},{"issue":"1","key":"2_CR13","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.cag.2007.09.007","volume":"32","author":"V Skala","year":"2008","unstructured":"Skala, V.: Barycentric Coordinates Computation in Homogeneous Coordinates. Comput. Graph. 32(1), 120\u2013127 (2008). ISSN 0097-8493","journal-title":"Comput. Graph."},{"key":"2_CR14","unstructured":"Skala, V.: Projective geometry, duality and precision of computation in computer graphics, visualization and games. In: Tutorial Eurographics 2013, Girona (2013)"},{"key":"2_CR15","unstructured":"Skala, V.: Projective Geometry and Duality for Graphics, Games and Visualization - Course SIGGRAPH Asia 2012, Singapore (2012). ISBN:978-1-4503-1757-3"},{"issue":"4","key":"2_CR16","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1142\/S021946780800326X","volume":"8","author":"V Skala","year":"2008","unstructured":"Skala, V.: Intersection computation in projective space using homogeneous coordinates. Int. J. Image Graph. 8(4), 615\u2013628 (2008)","journal-title":"Int. J. Image Graph."},{"key":"2_CR17","doi-asserted-by":"crossref","unstructured":"Skala, V.: Modified gaussian elimination without division operations. In: ICNAAM 2013, AIP Conference Proceedings Rhodos, Greece, no. 1558, pp. 1936\u20131939. AIP Publishing (2013)","DOI":"10.1063\/1.4825912"},{"key":"2_CR18","volume-title":"Geometric Algebra for Computer Science","author":"J Vince","year":"2008","unstructured":"Vince, J.: Geometric Algebra for Computer Science. Springer, London (2008)"},{"key":"2_CR19","volume-title":"Divine Proportions: Rational Trigonometry to Universal Geometry","author":"NJ Wildberger","year":"2005","unstructured":"Wildberger, N.J.: Divine Proportions: Rational Trigonometry to Universal Geometry. Wild Egg Pty, Sydney (2005)"},{"key":"2_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-4-431-67881-6","volume-title":"Computer Aided Geometric Design: A totally Four Dimensional Approach","author":"F Yamaguchi","year":"2002","unstructured":"Yamaguchi, F.: Computer Aided Geometric Design: A totally Four Dimensional Approach. Springer, Tokyo (2002)"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2016"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-42085-1_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T13:35:16Z","timestamp":1498311316000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-42085-1_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319420844","9783319420851"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-42085-1_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]}}}