{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T11:41:26Z","timestamp":1725795686280},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319079974"},{"type":"electronic","value":"9783319079981"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-07998-1_68","type":"book-chapter","created":{"date-parts":[[2014,6,4]],"date-time":"2014-06-04T17:27:22Z","timestamp":1401902842000},"page":"594-601","source":"Crossref","is-referenced-by-count":0,"title":["New Geometric Constraint Solving Formulation: Application to the 3D Pentahedron"],"prefix":"10.1007","author":[{"given":"Hichem","family":"Barki","sequence":"first","affiliation":[]},{"given":"Jean-Marc","family":"Cane","sequence":"additional","affiliation":[]},{"given":"Dominique","family":"Michelucci","sequence":"additional","affiliation":[]},{"given":"Sebti","family":"Foufou","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"68_CR1","unstructured":"ALIAS-C++, A C++ Algorithms Library of Interval Analysis for equation Systems, \n                    \n                      http:\/\/www-sop.inria.fr\/coprin\/logiciels\/ALIAS\/ALIAS-C++\/ALIAS-C++.html"},{"key":"68_CR2","unstructured":"Coxeter, H.: The Beauty of Geometry: Twelve Essays. Dover books on mathematics. Dover Publications (1999)"},{"key":"68_CR3","unstructured":"Durand, C.: Symbolic and numerical techniques for constraint solving. Ph.D. thesis, West Lafayette, IN, USA (1998)"},{"issue":"1","key":"68_CR4","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.cagd.2011.09.001","volume":"29","author":"C. F\u00fcenfzig","year":"2012","unstructured":"F\u00fcenfzig, C., Michelucci, D., Foufou, S.: Polytope-based computation of polynomial ranges. Computer Aided Geometric Design\u00a029(1), 18\u201329 (2012)","journal-title":"Computer Aided Geometric Design"},{"issue":"5","key":"68_CR5","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1080\/16864360.2005.10738330","volume":"2","author":"C. Hoffmann","year":"2005","unstructured":"Hoffmann, C., Joan-Arinyo, R.: A brief on constraint solving. Computer-Aided Design and Applications\u00a02(5), 655\u2013663 (2005)","journal-title":"Computer-Aided Design and Applications"},{"key":"68_CR6","unstructured":"Hoffmann, C., Peters, J.: Geometric constraints for CAGD. In: Proceedings of the 3rd International Conference on Mathematical Methods for CAGD, Ulvic., pp. 237\u2013254. Vanderbilt University Press (1995)"},{"key":"68_CR7","unstructured":"Hubbard, J., Hubbard, B.: Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach. Matrix Editions (2007)"},{"key":"68_CR8","unstructured":"Johnson, R., Young, J.: Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Houghton, Mifflin Company (1929)"},{"issue":"4","key":"68_CR9","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/BF01534980","volume":"4","author":"G. Laman","year":"1970","unstructured":"Laman, G.: On graphs and rigidity of plane skeletal structures. Journal of Engineering Mathematics\u00a04(4), 331\u2013340 (1970)","journal-title":"Journal of Engineering Mathematics"},{"key":"68_CR10","doi-asserted-by":"crossref","unstructured":"MacDuffee, C.: Theory of Equations. John Wiley (1954)","DOI":"10.1037\/11787-000"},{"key":"68_CR11","unstructured":"Merlet, J.P.: ALIAS: an interval analysis based library for solving and analyzing system of equations. In: SEA, pp. 14\u201316 (2000)"},{"key":"68_CR12","unstructured":"Michelucci, D., Foufou, S.: Using Cayley-Menger determinants for geometric constraint solving. In: Proceedings of the Ninth ACM Symposium on Solid Modeling and Applications, SM 2004, pp. 285\u2013290. Eurographics Association (2004)"},{"key":"68_CR13","doi-asserted-by":"crossref","unstructured":"Michelucci, D., Foufou, S., Lamarque, L., Schreck, P.: Geometric constraints solving: Some tracks. In: Proceedings of the 2006 ACM Symposium on Solid and Physical Modeling, SPM 2006, pp. 185\u2013196. ACM (2006)","DOI":"10.1145\/1128888.1128915"},{"key":"68_CR14","unstructured":"Sommerville, D.: An Introduction to the Geometry of N Dimensions (1958)"}],"container-title":["Lecture Notes in Computer Science","Image and Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-07998-1_68","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,26]],"date-time":"2019-05-26T20:52:42Z","timestamp":1558903962000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-07998-1_68"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319079974","9783319079981"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-07998-1_68","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2014]]}}}