{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T12:24:09Z","timestamp":1725798249528},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662441985"},{"type":"electronic","value":"9783662441992"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-662-44199-2_41","type":"book-chapter","created":{"date-parts":[[2014,7,31]],"date-time":"2014-07-31T18:17:11Z","timestamp":1406830631000},"page":"261-268","source":"Crossref","is-referenced-by-count":1,"title":["Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods"],"prefix":"10.1007","author":[{"given":"Zhiwang","family":"Gan","sequence":"first","affiliation":[]},{"given":"Meng","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"41_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/3-540-45654-6_1","volume-title":"Computer Aided Systems Theory - EUROCAST 2001","author":"B. Buchberger","year":"2001","unstructured":"Buchberger, B.: Gr\u00f6bner Bases: A Short Introduction for Systems Theorists. In: Moreno-D\u00edaz Jr., R., Buchberger, B., Freire, J.-L. (eds.) EUROCAST 2001. LNCS, vol.\u00a02178, pp. 1\u201319. Springer, Heidelberg (2001)"},{"key":"41_CR2","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.cagd.2007.07.001","volume":"25","author":"L. Bus\u00e9","year":"2008","unstructured":"Bus\u00e9, L., Elkadi, M., Galligo, A.: Intersection and self-intersection of surfaces by means of bezoutian matrices. Computer Aided Geometric Design\u00a025, 53\u201368 (2008)","journal-title":"Computer Aided Geometric Design"},{"issue":"10-11","key":"41_CR3","doi-asserted-by":"publisher","first-page":"1051","DOI":"10.1016\/j.cad.2008.06.008","volume":"40","author":"X.-D. Chen","year":"2008","unstructured":"Chen, X.-D., Yong, J.-H., Wang, G., Paul, J.-C., Xu, G.: Computing the minimum distance between a point and a nurbs curve. Computer Aided Design\u00a040(10-11), 1051\u20131054 (2008)","journal-title":"Computer Aided Design"},{"key":"41_CR4","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1016\/j.cam.2013.03.031","volume":"251","author":"N. Chernov","year":"2013","unstructured":"Chernov, N., Wijewickrema, S.: Algorithms for projecting points onto conics. Journal of Computational and Applied Mathematics\u00a0251, 8\u201321 (2013)","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"41_CR5","unstructured":"Cox, D., Little, J., O\u2019Shea, D.: Ideals, varieties, and algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer (2007)"},{"issue":"3-4","key":"41_CR6","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1016\/0167-8396(93)90037-4","volume":"10","author":"R. Dietz","year":"1993","unstructured":"Dietz, R., Hoschek, J., J\u00fcttler, B.: An algebraic approach to curves and surfaces on the sphere and on other quadrics. Computer Aided Geometric Design\u00a010(3-4), 211\u2013229 (1993)","journal-title":"Computer Aided Geometric Design"},{"issue":"2","key":"41_CR7","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1109\/56.2083","volume":"4","author":"E. Gilbert","year":"1988","unstructured":"Gilbert, E., Johnson, D., Keerthi, S.: A fast procedure for computing the distance between complex objects in three-dimensional space. IEEE Transactions on Robotics and Automation\u00a04(2), 193\u2013203 (1988)","journal-title":"IEEE Transactions on Robotics and Automation"},{"key":"41_CR8","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/j.cad.2011.01.008","volume":"43","author":"H.C. Song","year":"2011","unstructured":"Song, H.C., Yong, J.H., Yang, Y.J., Liu, X.M.: Algorithm for orthogonal projection of parametric curves onto b-spline surfaces. Computer Aided Design\u00a043, 381\u2013393 (2011)","journal-title":"Computer Aided Design"},{"key":"41_CR9","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1016\/j.cagd.2004.12.001","volume":"22","author":"S.M. Hu","year":"2005","unstructured":"Hu, S.M., Wallner, J.: A second order algorithm for orthogonal projection onto curves and surfaces. Computer Aided Geometric Design\u00a022, 251\u2013260 (2005)","journal-title":"Computer Aided Geometric Design"},{"key":"41_CR10","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1016\/j.cagd.2011.09.002","volume":"28","author":"Y. Huang","year":"2011","unstructured":"Huang, Y., Wang, D.: Computing intersection and self-intersection loci of parametrized surfaces using regular systems and Gr\u00f6bner bases. Computer Aided Geometric Design\u00a028, 566\u2013581 (2011)","journal-title":"Computer Aided Geometric Design"},{"issue":"3","key":"41_CR11","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1016\/0097-8493(95)00009-2","volume":"19","author":"A. Limaiem","year":"1995","unstructured":"Limaiem, A., Trochu, F.: Geometric algorithms for the intersection of curves and surfaces. Computers and Graphics\u00a019(3), 391\u2013403 (1995)","journal-title":"Computers and Graphics"},{"key":"41_CR12","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1016\/j.cagd.2009.01.004","volume":"26","author":"X.-M. Liu","year":"2009","unstructured":"Liu, X.-M., Yang, L., Yong, J.-H., Gu, H.-J., Sun, J.-G.: A torus patch approximation approach for point projection on surfaces. Computer Aided Geometric Design\u00a026, 593\u2013598 (2009)","journal-title":"Computer Aided Geometric Design"},{"key":"41_CR13","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/S0167-8396(03)00021-9","volume":"20","author":"Y.L. Ma","year":"2003","unstructured":"Ma, Y.L., Hewitt, W.T.: Point inversion and projection for nurbs curve and surface: control polygon approach. Computer Aided Geometric Design\u00a020, 79\u201399 (2003)","journal-title":"Computer Aided Geometric Design"},{"key":"41_CR14","doi-asserted-by":"crossref","unstructured":"Mishra, B.: Algorithmic Algebra. Springer (1993)","DOI":"10.1007\/978-1-4612-4344-1"},{"key":"41_CR15","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1016\/j.cagd.2011.04.002","volume":"29","author":"Y.-T. Oh","year":"2012","unstructured":"Oh, Y.-T., Kim, Y.-J., Lee, J., Kim, M.-S., Elber, G.: Efficient point-projection to freeform curves and surfaces. Computer Aided Geometric Design\u00a029, 242\u2013254 (2012)","journal-title":"Computer Aided Geometric Design"},{"key":"41_CR16","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1115\/1.2826855","volume":"118","author":"J. Pegna","year":"1996","unstructured":"Pegna, J., Wolter, F.-E.: Surface curve design by orthogonal projection of space curves onto free-form surfaces. Journal of Mechanical Design\u00a0118, 45\u201352 (1996)","journal-title":"Journal of Mechanical Design"},{"key":"41_CR17","unstructured":"Piegl, L., Tiller, W.: The NURBS book. Springer (2012)"},{"issue":"1","key":"41_CR18","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.cviu.2004.04.002","volume":"95","author":"H. Pottmann","year":"2004","unstructured":"Pottmann, H., Leopoldseder, S., Hofer, M.: Registration without icp. Computer Vision and Image Understanding\u00a095(1), 54\u201371 (2004)","journal-title":"Computer Vision and Image Understanding"},{"key":"41_CR19","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1006\/jsco.1999.0355","volume":"30","author":"D. Wang","year":"2000","unstructured":"Wang, D.: Computing triangular systems and regular systems. Journal of Symbolic Computation\u00a030, 221\u2013236 (2000)","journal-title":"Journal of Symbolic Computation"},{"key":"41_CR20","doi-asserted-by":"crossref","unstructured":"Wang, D.: Elimination Methods. Springer (2001)","DOI":"10.1007\/978-3-7091-6202-6"},{"key":"41_CR21","doi-asserted-by":"crossref","unstructured":"Wang, D.: Elimination Practice: Software Tools and Applications. Imperial College Press (2004)","DOI":"10.1142\/9781848161207"},{"key":"41_CR22","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/S0890-6955(99)00058-9","volume":"40","author":"A. Warkentin","year":"2000","unstructured":"Warkentin, A., Ismail, F., Bedi, S.: Comparison between multi-point and other 5-axis tool positioning strategies. International Journal of Machine Tools & Manufacture\u00a040, 185\u2013208 (2000)","journal-title":"International Journal of Machine Tools & Manufacture"}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2014"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-44199-2_41","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,27]],"date-time":"2019-05-27T09:14:11Z","timestamp":1558948451000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-44199-2_41"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783662441985","9783662441992"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-44199-2_41","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2014]]}}}