{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T13:45:54Z","timestamp":1725630354990},"publisher-location":"Berlin, Heidelberg","reference-count":52,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540123088"},{"type":"electronic","value":"9783642690273"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1983]]},"DOI":"10.1007\/978-3-642-69027-3_11","type":"book-chapter","created":{"date-parts":[[2011,11,5]],"date-time":"2011-11-05T13:40:44Z","timestamp":1320500444000},"page":"173-217","source":"Crossref","is-referenced-by-count":5,"title":["Grundlagen Kurven- und Fl\u00e4chen\u2014Orientierter Modellierung"],"prefix":"10.1007","author":[{"given":"Wolfgang","family":"B\u00f6hm","sequence":"first","affiliation":[]},{"given":"J\u00fcrgen","family":"Kahmann","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"11_CR1","doi-asserted-by":"crossref","unstructured":"Ball, A.A.: Consurf I-III, Computer-aided Design 6 (1974),243\u2013249, 7 (1975), 237\u2013242, 9 (1977), 9\u201312","DOI":"10.1016\/0010-4485(75)90068-8"},{"volume-title":"Computer Aided Geometric Design","year":"1974","author":"RE Barnhill","key":"11_CR2","unstructured":"Barnhill, R.E.; Riesenfeld, R,F.(eds.): Computer Aided Geometric Design, Academic Press (1974)"},{"volume-title":"Mathematical Software","year":"1977","author":"RE Barnhill","key":"11_CR3","unstructured":"Barnhill, R.E.: Representation and Approximation of Surfaces, in Mathematical Software I II, J.R. Rice ed., Academic Press (1977)"},{"key":"11_CR4","doi-asserted-by":"crossref","unstructured":"Barnhill, R.E.: Computer Aided Surface Representation and Design, in 1Bar82b1","DOI":"10.1016\/0167-8396(84)90002-5"},{"volume-title":"Surfaces in CAGD","year":"1982","author":"RE Barnhill","key":"11_CR5","unstructured":"Barnhill, R.E,; B\u00f6hm, W. (eds.): Surfaces in CAGD, North-Holland (1982)"},{"volume-title":"Essai de D\u00e9finition Num\u00e9rique des Courbes et de Surfaces Exp\u00e9rimentales","year":"1977","author":"P B\u00e9zier","key":"11_CR6","unstructured":"B\u00e9zier, P.: Essai de D\u00e9finition Num\u00e9rique des Courbes et de Surfaces Exp\u00e9rimentales, Diss. Paris (1977)"},{"key":"11_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-322-85528-2","volume-title":"Einf\u00fchrung in die Methoden der Numerischen Mathematik","author":"W B\u00f6hm","year":"1977","unstructured":"B\u00f6hm, W.; Gose, G.: Einf\u00fchrung in die Methoden der Numerischen Mathematik, Vieweg (1977)"},{"key":"11_CR8","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1007\/BF02260739","volume":"19","author":"W B\u00f6hm","year":"1977","unstructured":"B\u00f6hm, W.: Cubic B-Spline Curves and Surfaces in CAGD, Computing 19 (1977), 29\u201334","journal-title":"Computing"},{"key":"11_CR9","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/0010-4485(80)90154-2","volume":"12","author":"W B\u00f6hm","year":"1980","unstructured":"B\u00f6hm, W.: Inserting new Knots into B-Spline Curves, Computer-aided Design 12 (1980), 199\u2013201","journal-title":"Computer-aided Design"},{"key":"11_CR10","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1016\/0010-4485(81)90213-X","volume":"13","author":"W B\u00f6hm","year":"1981","unstructured":"B\u00f6hm, W.: Generating the B\u00e9zier Points of B-Spline Curves and Surfaces, Computer-aided Design 13 (1981), 365\u2013366","journal-title":"Computer-aided Design"},{"volume-title":"Mathematische Grundlagen der Geometrischen Datenverarbeitung","year":"1981","author":"W B\u00f6hm","key":"11_CR11","unstructured":"B\u00f6hm, W.: Mathematische Grundlagen der Geometrischen Datenverarbeitung, Vorlesung TU Braunschweig (1981)"},{"key":"11_CR12","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1016\/0146-664X(82)90009-0","volume":"19","author":"W B\u00f6hm","year":"1982","unstructured":"B\u00f6hm, W.: On Cubics, A Survey, Computer Graphics and Image Processing 19 (1982), 201\u2013226","journal-title":"Computer Graphics and Image Processing"},{"key":"11_CR13","unstructured":"B\u00f6hm, W.: Generating the B\u00e9zier Points of, Triangular Splines, in 1Bar82bI"},{"key":"11_CR14","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/0021-9045(72)90080-9","volume":"6","author":"C Boor de","year":"1972","unstructured":"de Boor, C.: On Calculating with B-Splines, J. Approximation Theory 6 (1972), 50\u201362","journal-title":"J. Approximation Theory"},{"key":"11_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6333-3","volume-title":"A Practical Guide to Splines","author":"C Boor de","year":"1978","unstructured":"de Boor, C.: A Practical Guide to Splines, Springer (1978)"},{"volume-title":"Die Verwendung von bikubischen Splinefl\u00e4chen zur Darstellung von Tragfl\u00fcgeln und Propellern","year":"1978","author":"D Breden","key":"11_CR16","unstructured":"Breden, D.: Die Verwendung von bikubischen Splinefl\u00e4chen zur Darstellung von Tragfl\u00fcgeln und Propellern, Diss. TU Braunschweig (1982)"},{"volume-title":"Conforming and Nonconforming Finite Element Models for Curved Regions","year":"1976","author":"JH Brown","key":"11_CR17","unstructured":"Brown, J.H.: Conforming and Nonconforming Finite Element Models for Curved Regions, Diss. Dundee (1976)"},{"key":"11_CR18","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/0010-4485(80)90213-4","volume":"12","author":"I Bruckner","year":"1980","unstructured":"Bruckner, I.: Construction of B\u00e9zier Points of Quadrilaterals from Those of Triangles, Computer-aided Design 12 (1980), 21\u201324","journal-title":"Computer-aided Design"},{"volume-title":"Courbes et Surfaces a Poles","year":"1959","author":"F Casteljau de","key":"11_CR19","unstructured":"de Casteljau, F.: Courbes et Surfaces a Poles, Andre Citro\u00ebn Automobiles SA, Paris (1959)"},{"key":"11_CR20","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/0010-4485(78)90110-0","volume":"10","author":"EE Catmull","year":"1978","unstructured":"Catmull, E.E., Clark, J.H.: Recursively Generated B-Spline Surfaces on Arbitrary Topological Meshes, Computer-aided Design 10 (1978), 350\u2013355","journal-title":"Computer-aided Design"},{"key":"11_CR21","doi-asserted-by":"publisher","first-page":"346","DOI":"10.1016\/0146-664X(74)90028-8","volume":"3","author":"GM Chaikin","year":"1974","unstructured":"Chaikin, G.M.: An Algorithm for High Speed Curve Algorithm, Computer Graphics and Image Processing 3 (1974), 346\u2013349","journal-title":"Computer Graphics and Image Processing"},{"key":"11_CR22","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/0146-664X(80)90040-4","volume":"14","author":"E Cohen","year":"1980","unstructured":"Cohen, E.; Lyche, T.; Riesenfeld, R.F.: Discrete B-Splines and Subdivision Techniques in Computer Aided Geometric Design and Computer Graphics, Computer Graphics and Image Processing 14 (1980), 87\u2013111","journal-title":"Computer Graphics and Image Processing"},{"key":"11_CR23","doi-asserted-by":"crossref","unstructured":"Coons, S.A.: Surfaces for Computer Aided Design of Space Forms, MIT Project MAC-TR-41 (1967)","DOI":"10.21236\/AD0663504"},{"key":"11_CR24","doi-asserted-by":"publisher","first-page":"356","DOI":"10.1016\/0010-4485(78)90111-2","volume":"6","author":"D Doo","year":"1978","unstructured":"Doo, D.; Sabin, M.A.: Behavior of Recursive Division Surfaces near Extraordinary Points, Computer-aided Design 6 (1978), 356\u2013360","journal-title":"Computer-aided Design"},{"volume-title":"A Subdivision Algorithm for Smoothing Down Irregular Shaped Polyhedrons, Eurographics \u201978","year":"1978","author":"DWH Doo","key":"11_CR25","unstructured":"Doo, D.W.H.:A Subdivision Algorithm for Smoothing Down Irregular Shaped Polyhedrons, Eurographics \u201978, Bologna (1978)"},{"volume-title":"Diplom-Arbeit TU Braunschweig","year":"1977","author":"GE Farin","key":"11_CR26","unstructured":"Farin, G.E.: Konstruktion und Eigenschaften von B\u00e9zier-Kurven und B\u00e9zier-Fl\u00e4chen, Diplom-Arbeit TU Braunschweig (1977)"},{"volume-title":"Diss.TU Braunschweig","year":"1979","author":"GE Farin","key":"11_CR27","unstructured":"Farin, G.E.: Subsplines \u00fcber Dreiecken, Diss.TU Braunschweig (1979)"},{"key":"11_CR28","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/0010-4485(82)90103-8","volume":"14","author":"GE Farin","year":"1982","unstructured":"Farin, G.E.: Designing C1 Surfaces consisting of Triangular Cubic Patches, Computer-aided Design 14 (1982), 253\u2013256","journal-title":"Computer-aided Design"},{"key":"11_CR29","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/0010-4485(82)90326-8","volume":"14","author":"GE Farin","year":"1982","unstructured":"Farin, G.E.: Visually C2 Cubic Splines, Computer-aided Design 14 (1982), 137\u2013139","journal-title":"Computer-aided Design"},{"key":"11_CR30","unstructured":"Farin, G.E.: Smooth Interpolation to Scattered 3D Data, in 1Bar82bI"},{"volume-title":"Computational Geometry for Design and Manufacture","year":"1979","author":"ID Faux","key":"11_CR31","unstructured":"Faux, I. D.; Pratt, M. J.: Computational Geometry for Design and Manufacture, Ellis Horwood (1979)"},{"key":"11_CR32","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1016\/0010-4485(80)90149-9","volume":"12","author":"AR Forrest","year":"1980","unstructured":"Forrest, A.R.: The Twisted Cubic Curve: A Computer Aided Geometric Design Approach, Computer-aided Design 12 (1980), 165\u2013172","journal-title":"Computer-aided Design"},{"volume-title":"Approx. with Special Emphasis on Spline Functions","year":"1969","author":"W Gordon","key":"11_CR33","unstructured":"Gordon, W.: Distributive Lattices and the Approximation of Multivariate Functions, in Approx. with Special Emphasis on Spline Functions ( Schoenberg ed. ), Academic Press (1969)"},{"key":"11_CR34","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1137\/0708019","volume":"8","author":"W Gordon","year":"1971","unstructured":"Gordon, W.: Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation, SIAM J. Numerical Analysis 8 (1971), 158\u2013177","journal-title":"J. Numerical Analysis"},{"key":"11_CR35","unstructured":"Gordon, W.; Riesenfeld, R.E.: B-Spline Curves and Surfaces, in IBar741"},{"key":"11_CR36","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1016\/0146-664X(80)90117-3","volume":"13","author":"JA Gregory","year":"1980","unstructured":"Gregory, J.A.: A CI Triangular Interpolation Patch for Computer Aided Geometric Design, Computer Graphics and Image Processing 13 (1980), 80\u201387","journal-title":"Computer Graphics and Image Processing"},{"key":"11_CR37","unstructured":"Gregory, 3.A.: C1 Rectangular and Non-Rectangular Surface Patches, in IBar820"},{"volume-title":"Inequalities","year":"1967","author":"TNE Greville","key":"11_CR38","unstructured":"Greville, T.N.E.: On the Normalisation of the B-Splines and the Locationof the Nodes for the Case of Unequally Spaced Knots, in Inequalities (O.Shisha ed.),Academic Press (1967)"},{"volume-title":"Synthesis Methods of Curves and Surfaces in Interactive CAD, Eurographics \u201978","year":"1978","author":"M Hosaka","key":"11_CR39","unstructured":"Hosaka, M.; Kimura, F.: Synthesis Methods of Curves and Surfaces in Interactive CAD, Eurographics \u201978, Bologna (1978)"},{"volume-title":"TU Braunschweig","year":"1982","author":"J Kahmann","key":"11_CR40","unstructured":"Kahmann, J.: Kr\u00fcmmungs\u00fcberg\u00e4nge zusammengesetzter Kurven und Fl\u00e4chen, Diss. TU Braunschweig (1982)"},{"volume-title":"Einf\u00fchrung in Computer Graphics","year":"1974","author":"W Kestner","key":"11_CR41","unstructured":"Kestner, W.; Saniter, J.et al.: Einf\u00fchrung in Computer Graphics, TU Berlin (1974)"},{"key":"11_CR42","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1109\/TPAMI.1980.4766968","volume":"2","author":"JM Lane","year":"1980","unstructured":"Lane, J.M.; Riesenfeld, R.F.: A Theoretical Development for the Computer Generation of Piecewise Polynomial Surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI 2, (1980), 35\u201346","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI"},{"key":"11_CR43","unstructured":"Lee, E.: A Simplified B-Spline Computation Routine, ersch.demn."},{"key":"11_CR44","unstructured":"Little, F.F.: Convex Combination Surfaces, in IBar82bI"},{"key":"11_CR45","unstructured":"Nielson, G.M.: Some Piecewise Polynomial Alternatives to Splines under Tension, in IBar741"},{"volume-title":"A Boolean Sum Interpolation Scheme to Random Data for Computer Aided Geometric Design","year":"1975","author":"CC Poeppelmeier","key":"11_CR46","unstructured":"Poeppelmeier, C.C.: A Boolean Sum Interpolation Scheme to Random Data for Computer Aided Geometric Design, Master\u2019s Thesis, U Salt Lake City (1975)"},{"volume-title":"MTA Budapest","year":"1977","author":"MA Sabin","key":"11_CR47","unstructured":"Sabin, M.A.: The Use of Piecewise Forms for the Numerical Representation of Shape, Diss., MTA Budapest (1977)"},{"key":"11_CR48","unstructured":"Schmidt, R.M.: Fitting Scattered Surface Data with Large Gaps, in 1Bar82b1"},{"volume-title":"On Numerical Approximation","year":"1959","author":"I Schoenberg","key":"11_CR49","unstructured":"Schoenberg, I.: On Variation Diminishing Approximation Methods, in On Numerical Approximation (R. Langer ed.),Madison-Wisc. (1959)"},{"volume-title":"Inequalities","year":"1967","author":"I Schoenberg","key":"11_CR50","unstructured":"Schoenberg, I.: On Spline Functions, in Inequalities (O. Shisha ed.),Academic Press (1967)"},{"key":"11_CR51","first-page":"517","volume-title":"A Two Dimensional Interpolation Function for IrregularlySpaced Data, Proc","author":"D Shepard","year":"1965","unstructured":"Shepard, D.: A Two Dimensional Interpolation Function for IrregularlySpaced Data, Proc. ACM Nat. Conf. (1965), 517\u2013524"},{"volume-title":"Mehrfach differenzierbare B\u00e9zier-Kurven und B\u00e9zierFl\u00e4chen","year":"1976","author":"E St\u00e4rk","key":"11_CR52","unstructured":"St\u00e4rk, E.: Mehrfach differenzierbare B\u00e9zier-Kurven und B\u00e9zierFl\u00e4chen, Diss TU Braunschweig (1976)"}],"container-title":["Informatik-Fachberichte","Geometrisches Modellieren"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-69027-3_11.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,6]],"date-time":"2021-05-06T08:58:53Z","timestamp":1620291533000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-69027-3_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983]]},"ISBN":["9783540123088","9783642690273"],"references-count":52,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-69027-3_11","relation":{},"ISSN":["0343-3005"],"issn-type":[{"type":"print","value":"0343-3005"}],"subject":[],"published":{"date-parts":[[1983]]}}}