{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T13:34:16Z","timestamp":1725543256096},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540367116"},{"type":"electronic","value":"9783540368656"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11802914_4","type":"book-chapter","created":{"date-parts":[[2006,7,17]],"date-time":"2006-07-17T15:55:21Z","timestamp":1153151721000},"page":"45-58","source":"Crossref","is-referenced-by-count":0,"title":["Least\u2013Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process"],"prefix":"10.1007","author":[{"given":"M.","family":"Aigner","sequence":"first","affiliation":[]},{"given":"Z.","family":"\u0160\u00edr","sequence":"additional","affiliation":[]},{"given":"B.","family":"J\u00fcttler","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"4_CR1","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/S0010-4485(00)00089-0","volume":"33","author":"M. Alhanaty","year":"2001","unstructured":"Alhanaty, M., Bercovier, M.: Curve and surface fitting and design by optimal control methods. Computer\u2013Aided Design\u00a033, 167\u2013182 (2001)","journal-title":"Computer\u2013Aided Design"},{"key":"4_CR2","unstructured":"Aigner, M., J\u00fcttler, B.: Hybrid curve fitting. FSP Industrial Geometry, Report no. 2 (2005), available at: \n                    \n                      http:\/\/www.ig.jku.at"},{"key":"4_CR3","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1016\/B978-044451104-1\/50018-6","volume-title":"Handbook of computer aided geometric design","author":"R.T. Farouki","year":"2002","unstructured":"Farouki, R.T.: Pythagorean-hodograph curves. In: Handbook of computer aided geometric design, pp. 405\u2013427. North-Holland, Amsterdam (2002)"},{"issue":"1","key":"4_CR4","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1023\/A:1016621116240","volume":"27","author":"R.T. Farouki","year":"2001","unstructured":"Farouki, R.T., Kuspa, B.K., Manni, C., Sestini, A.: Efficient solution of the complex quadratic tridiagonal system for \n                    \n                      \n                    \n                    $C\\sp 2$\n                   PH quintic splines. Numer. Algorithms\u00a027(1), 35\u201360 (2001)","journal-title":"Numer. Algorithms"},{"issue":"6","key":"4_CR5","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1016\/S0094-114X(97)00099-2","volume":"33","author":"R.T. Farouki","year":"1998","unstructured":"Farouki, R.T., Manjunathaiah, J., Jee, S.: Design of rational cam profiles with pythagorean-hodograph curves. Mech. and Mach. Theory\u00a033(6), 669\u2013682 (1998)","journal-title":"Mech. and Mach. Theory"},{"key":"4_CR6","unstructured":"Farouki, R.T., Saitou, K., Tsai, Y.-F.: Least-squares tool path approximation with Pythagorean-hodograph curves for high-speed CNC machining. In: The mathematics of surfaces, VIII (Birmingham, 1998), Info. Geom., Winchester, pp. 245\u2013264 (1998)"},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Hoff, K.E., Keyser, J., Lin, M., Manocha, D., Culver, T.: Fast computation of generalized Voronoi diagrams using graphics hardware. In: SIGGRAPH 1999, New York, pp. 277\u2013286. ACM Press\/Addison-Wesley (1999)","DOI":"10.1145\/311535.311567"},{"key":"4_CR8","volume-title":"Fundamentals of computer aided geometric design","author":"J. Hoschek","year":"1993","unstructured":"Hoschek, J., Lasser, D.: Fundamentals of computer aided geometric design. A K Peters, Wellesley (1993)"},{"key":"4_CR9","doi-asserted-by":"publisher","first-page":"503","DOI":"10.2307\/2317570","volume":"79","author":"K.K. Kubota","year":"1972","unstructured":"Kubota, K.K.: Pythagorean triplets in unique factorization domains. Amer. Math. Monthly\u00a079, 503\u2013505 (1972)","journal-title":"Amer. Math. Monthly"},{"key":"4_CR10","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00133570","volume":"1","author":"M. Kass","year":"1987","unstructured":"Kass, M., Witkin, A., Terzopoulos, D.: Snakes: active contour models. Int. J. Comp. Vision\u00a01, 321\u2013331 (1987)","journal-title":"Int. J. Comp. Vision"},{"issue":"2","key":"4_CR11","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/S0167-8396(01)00016-4","volume":"18","author":"H.P. Moon","year":"2001","unstructured":"Moon, H.P., Farouki, R.T., Choi, H.I.: Construction and shape analysis of PH quintic Hermite interpolants. Comput. Aided Geom. Design\u00a018(2), 93\u2013115 (2001)","journal-title":"Comput. Aided Geom. Design"},{"issue":"2","key":"4_CR12","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1016\/S0377-0427(97)00066-6","volume":"81","author":"D.S. Meek","year":"1997","unstructured":"Meek, D.S., Walton, D.J.: Geometric Hermite interpolation with Tschirnhausen cubics. J. Comput. Appl. Math.\u00a081(2), 299\u2013309 (1997)","journal-title":"J. Comput. Appl. Math."},{"key":"4_CR13","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1016\/S0167-8396(03)00078-5","volume":"20","author":"H. Pottmann","year":"2003","unstructured":"Pottmann, H., Leopoldseder, S.: A concept for parametric surface fitting which avoids the parametrization problem. Comp. Aided Geom. Design\u00a020, 343\u2013362 (2003)","journal-title":"Comp. Aided Geom. Design"},{"key":"4_CR14","first-page":"8","volume-title":"Proc. Pacific Graphics","author":"H. Pottmann","year":"2002","unstructured":"Pottmann, H., Leopoldseder, S., Hofer, M.: Approximation with active B-spline curves and surfaces. In: Proc. Pacific Graphics, pp. 8\u201325. IEEE Press, Los Alamitos (2002)"},{"key":"4_CR15","doi-asserted-by":"publisher","first-page":"751","DOI":"10.1016\/j.cad.2004.08.013","volume":"37","author":"H. Pottmann","year":"2005","unstructured":"Pottmann, H., Leopoldseder, S., Hofer, M., Steiner, T., Wang, W.: Industrial geometry: recent advances and appl. in CAD. Comp.-Aided Design\u00a037, 751\u2013766 (2005)","journal-title":"Comp.-Aided Design"},{"key":"4_CR16","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1016\/0010-4485(89)90162-0","volume":"21","author":"D. Rogers","year":"1989","unstructured":"Rogers, D., Fog, N.: Constrained B-spline curve and surface fitting. Computer\u2013Aided Design\u00a021, 641\u2013648 (1989)","journal-title":"Computer\u2013Aided Design"},{"issue":"11","key":"4_CR17","doi-asserted-by":"publisher","first-page":"1258","DOI":"10.1016\/j.mechmachtheory.2005.01.012","volume":"40","author":"Z. \u0160\u00edr","year":"2005","unstructured":"\u0160\u00edr, Z., J\u00fcttler, B.: Constructing acceleration continuous tool paths using Pythagorean hodograph curves. Mech. and Mach. Theory\u00a040(11), 1258\u20131272 (2005)","journal-title":"Mech. and Mach. Theory"},{"key":"4_CR18","doi-asserted-by":"publisher","first-page":"869","DOI":"10.1016\/S0167-8396(98)00024-7","volume":"15","author":"T. Speer","year":"1998","unstructured":"Speer, T., Kuppe, M., Hoschek, J.: Global reparametrization for curve approximation. Comput. Aided Geom. Design\u00a015, 869\u2013877 (1998)","journal-title":"Comput. Aided Geom. Design"},{"key":"4_CR19","doi-asserted-by":"crossref","unstructured":"Wang, W., Pottmann, H., Liu, Y.: Fitting B-spline curves to point clouds by squared distance minimization. ACM Transactions on Graphics\u00a025(2) (2006)","DOI":"10.1145\/1138450.1138453"}],"container-title":["Lecture Notes in Computer Science","Geometric Modeling and Processing - GMP 2006"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11802914_4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:25:47Z","timestamp":1619508347000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11802914_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540367116","9783540368656"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/11802914_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}