@article{M2AN_1992__26_1_113_0,
author = {Nowacki, H. and Kaklis, P. D. and Weber, J.},
title = {Curve mesh fairing and $GC^2$ surface interpolation},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {113--135},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {26},
number = {1},
year = {1992},
mrnumber = {1155003},
zbl = {0762.65007},
language = {en},
url = {http://www.numdam.org/item/M2AN_1992__26_1_113_0/}
}
TY - JOUR AU - Nowacki, H. AU - Kaklis, P. D. AU - Weber, J. TI - Curve mesh fairing and $GC^2$ surface interpolation JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1992 SP - 113 EP - 135 VL - 26 IS - 1 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1992__26_1_113_0/ LA - en ID - M2AN_1992__26_1_113_0 ER -
%0 Journal Article %A Nowacki, H. %A Kaklis, P. D. %A Weber, J. %T Curve mesh fairing and $GC^2$ surface interpolation %J ESAIM: Modélisation mathématique et analyse numérique %D 1992 %P 113-135 %V 26 %N 1 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1992__26_1_113_0/ %G en %F M2AN_1992__26_1_113_0
Nowacki, H.; Kaklis, P. D.; Weber, J. Curve mesh fairing and $GC^2$ surface interpolation. ESAIM: Modélisation mathématique et analyse numérique, Topics in computer aided geometric design , Tome 26 (1992) no. 1, pp. 113-135. http://www.numdam.org/item/M2AN_1992__26_1_113_0/
[1] and , A General Method for the Construction of Interpolating Spline Functions, Numer. Math. 12 (1968), 66-82. | MR | Zbl
[2] , Representation and Approximation of Surfaces, in Mathematical Software III, J. R. Rice, éd., Academic Press, New York, 1977, 68-119. | MR | Zbl
[3] and , A New Surface Interpolation Method for Irregular Curve Models, Comput. Graph. Forum 3 (1984), 789-813.
[4] , Surfaces for Computer Aided Design of Space Forms, MIT-Report MAC-TR-41, 1961.
[5] , Multivariate Smoothing Spline Functions, SIAM J. Numer. Anal. 21, N° 4 (1984), 789-813. | MR | Zbl
[6] , An Algorithm for Surface Fitting with Spline Functions, IMA J. Numer. Anal. 1 (1981), 267-283. | MR | Zbl
[7] , A Fast Algorithm for Smoothing Data on a Rectangular Grid while Using Spline Functions, SIAM J. Numer. Anal 19 (1982), 1286-1304. | MR | Zbl
[8] and , Surface Engineering Geometry for Computer-Aided Design and Manufacture, Ellis Horwood Ltd., Chichester, U. K., 1987. | MR
[9] and , On the Estimation of Functions of Several Random Variables from Aggregated Data, SIAM J. Anal. 13, N°1 (1982), 134-152. | MR | Zbl
[10] , Curves and Surfaces for Computer Aided Geometric Design, Academic Press, San Diego, 1990. | MR | Zbl
[11] , The Theory of Matrices, Vol. 1, Chelsea Publ. Comp., New York, 1977. | MR | Zbl
[12] , The Smoothing of Parametric Curves and Surfaces, in Papers of the Fourth Joint Anglo-Hungarian Seminar on Computer Aided Design, G. Renner, M. J. Pratt, eds., published jointly by Computer and Automation Institute, Hungarian Academy of Sciences, and Dept. Appl. Computing and Mathematics, Cranfield Institute of Technology, Budapest, 1985.
[13] , Filling Polygonal Holes with Rectangular Patches, in Theory and Practice of Geometric Modelling, W. Strasser, H. P. Seidel, eds., Springer Verlag, Heidelberg, 1989. | MR | Zbl
[14] and , The Least-Squares Fitting of Cubic Spline Surfaces to General Data Sets, J. Inst. Math. Appl. 14 (1974), 89-103. | MR | Zbl
[15] , Theory of Curve and Surface Synthesis and their Smooth Fitting, Inform. Process. Japan 9 (1969), 60-68. | MR | Zbl
[16] and , Grundlagen der Geometrischen Datenverarbeitung, Teubner, Stuttgart, 1989. | MR | Zbl
[17] and , Bivariate Natural Spline Smoothing, in Approximation and Application, G. Meinardus and G. Nurnberger, eds., Birkhauser, Basel, 1985, 165-179. | MR | Zbl
[18] and , Complete Spline Smoothing, Numer. Math. 49 (1986), 1-10. | MR | Zbl
[19] and , Theory of Extremal Problems, in Stud. Math. Appl. 6, North Holland Publishing Company, Amsterdam, 1979. | MR | Zbl
[20] , Unpublished Notes and Correspondence, 1989.
[21] , Non-rectangular Surface Patches with Curvature Continuity, Comput. Aided Design 6 (1988). | Zbl
[22] , Continuity of Curvature between Adjacent Bézier Patches, in Surfaces in CAGD, North Holland Publ. Comp., Amsterdam, 1983. | MR
[23] , An Approach to Splining Curves and Surfaces, 1970 (unpublished).
[24] , Fairing of 3D Noisy Measurements in the Context of a Curve Mesh, Sonderforschungsbereich 203, Teilprojekt A2, Institut für Schiffs und Meerestechnik, Technische Universität Berlin, Berlin, November 1989.
[25] and , Function Spaces, Noordhoff Internat. Publ., Leyden, 1977. | MR | Zbl
[26] , Computer Methods for Ship Surface Design, Longman Group Ltd, London, 1971.
[27] and , The Theory of Matrices with Applications, Academic Press, New York, 1985. | MR | Zbl
[28] and , GC1 Continuity Conditions between Adjacent Rectangular and Triangular Bézier Surface Patches, Comput. Aided Geom. Design 6 (1989). | Zbl
[29] , Bivariate Spline Functions and the Approximation of Linear Functionals, Numer. Math.21 (1973), 138-160. | MR | Zbl
[30] , Multivariate Smoothing and Interpolating Splines, SIAM J. Numer. Anal. 11, N° 2 (1974), 435-446. | MR | Zbl
[31] , and , Mesh Fairing GCl Surface Generation Method, in Theory and Practice of Geometric Modelling, W. Strasser, H. P. Seidel, eds., Springer Verlag, Heidelberg, 1989, 93-108. | Zbl
[32] and , Design and Fairing of Ship Surfaces, in Surfaces in CAGD, North Holland Publishing Company, Amsterdam, 1983.
[33] , Smoothing by Spline Functions, Numer. Math. 10 (1967), 177-183. | MR | Zbl
[34] , Smoothing by Spline Functions II, Numer. Math. 16 (1971), 451-454. | MR
[35] , Bézier Patches on Cubic Grid Curves. An Application to the Preliminary Design of a Yacht Hull Surface, Comput. Aided Geom. Design 6 (1989).
[36] , G1 Interpolation of Generally Unrestricted Cubic Bézier Curves, Comput. Aided Geom. Design 4 (1987). | MR | Zbl
[37] , Computer Modelling of Surfaces with Arbitrary Shapes, IEEE Comp. Graph. Appl. 10, N° 2 (1990).
[38] , Fitting Surfaces to Scattered Data, in Approximation Theory II, G. G. Lorentz, C. K. Chui and L. Schumaker, eds., Academic Press, New York, 1976. | MR | Zbl
[39] , Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, Springer Verlag, Heidelberg, 1970. | MR | Zbl
[40] and , Computational Geometry, Academic Press and Shanghai Scientifîc and Technical Papers, New York, 1989. | MR | Zbl
[41] , Bounds for Characteristic Roots of Matrices, Duke Math. J. 15 (1948) 1043-1044. | MR | Zbl
[42] , Cross-Validation Techniques for Smoothing Spline Functions in One and Two Dimensions, in Smoothing Techniques in Curve Estimation, M. Rosenblatt, Th. Gasser, eds., Lecture Notes in Math. 757, Springer Verlag, Heidelberg, 1979, 196-232. | MR | Zbl
[43] , On Generalized Cross-Validation for Multivariate Smoothing Spline Functions, SIAM J. Sci. Statist. Comput. 8, N° 4 (1987), 630-643. | MR | Zbl
[44] , Linear Algebra, MIR Publishers, Moscow, 1983. | MR | Zbl
[45] , Convergence Rates of « Thin Plate » Smoothing Splines when the Data are Noisy, in Smoothing Techniques in Curve Estimation, M. Rosenblatt, Th. Gasser, eds., Lecture Notes in Math. 757, Springer Verlag, Heidelberg, 1979, 233-245. | MR | Zbl
[46] and , Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross-Validation, Mon. Weather Rev. 108 (1980), 36-57.
[47] , Bayesian « Confidence Intervals » for the Cross-Validated Smoothing Spline, J. Roy. Statist. Soc., Ser. B 45, N° 1 (1983), 133-150. | MR | Zbl
[48] , Methods for Constructing Curvature Continuous Free Form Surfaces, in German, Dissertation, TU Berlin, 1990.
[49] , Surface Fitting with Scattered Noisy Data on Euclidean D-Space and on the Sphere, Rocky Mountain, J. Math. 14, 1 (1984), 281-299. | MR | Zbl
[50] , On Constrained Multivariate Splines and Their Approximations, Numer. Math. 43 (1984), 141-152. | MR | Zbl
