Edit Profile Dierckx, Paul Compute Distance To: Compute Author ID: dierckx.paul Published as: Dierckx, P.; Dierckx, Paul External Links: MGP · Wikidata Documents Indexed: 38 Publications since 1975, including 2 Books all top 5 Co-Authors 15 single-authored 8 Speleers, Hendrik 8 Vandewalle, Stefan G. 5 Willemans, Karin 4 Windmolders, Joris 3 Bultheel, Adhemar François 3 Vanraes, Evelyne 2 Tytgat, Bart 1 Maes, Jan 1 Piessens, Robert 1 Suetens, Paul 1 Van Leemput, S. 1 Vandermeulen, Dirk 1 Vermeire, T. all top 5 Serials 10 Journal of Computational and Applied Mathematics 7 Computer Aided Geometric Design 3 IMA Journal of Numerical Analysis 2 Computing 2 Numerical Algorithms 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific and Statistical Computing 1 Computer Graphics and Image Processing 1 Monographs In Numerical Analysis all top 5 Fields 34 Numerical analysis (65-XX) 18 Approximations and expansions (41-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 34 Publications have been cited 425 times in 264 Documents Cited by ▼ Year ▼ Curve and surface fitting with splines. Zbl 0782.41016Dierckx, Paul 97 1993 On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152Dierckx, Paul 58 1997 Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 26 2006 Curve and surface fitting with splines. Zbl 0932.41010Dierckx, Paul 26 1995 Algorithms for surface fitting using Powell-Sabin splines. Zbl 0774.65007Dierckx, P.; Van Leemput, S.; Vermeire, T. 24 1992 Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 19 2009 Surface fitting using convex Powell-Sabin splines. Zbl 0827.65017Willemans, Karin; Dierckx, Paul 16 1994 Generating the Bézier points of a \(\beta\)-spline curve. Zbl 0682.65004Dierckx, Paul; Tytgat, Bart 16 1989 Automatic construction of control triangles for subdivided Powell — Sabin splines. Zbl 1069.41508Vanraes, Evelyne; Windmolders, Joris; Bultheel, Adhemar; Dierckx, Paul 13 2004 On the stability of normalized Powell–Sabin B-splines. Zbl 1045.41007Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 13 2004 Subdivision of uniform Powell–Sabin splines. Zbl 0916.68153Windmolders, Joris; Dierckx, Paul 13 1999 An algorithm for cubic spline fitting with convexity constraints. Zbl 0419.65006Dierckx, P. 12 1980 An algorithm for surface-fitting with spline functions. Zbl 0469.65006Dierckx, P. 10 1981 Algorithms for smoothing data on the sphere with tensor product splines. Zbl 0529.65004Dierckx, P. 8 1984 Weight control for modelling with NURPS surfaces. Zbl 1171.65353Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 7 2007 A fast algorithm for smoothing data on a rectangular grid while using spline functions. Zbl 0493.65003Dierckx, Paul 7 1982 Uniform Powell-Sabin spline wavelets. Zbl 1018.65155Windmolders, Joris; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 6 2003 Nonnegative surface fitting with Powell-Sabin splines. Zbl 0832.65007Willemans, Karin; Dierckx, Paul 6 1995 An algorithm for smoothing, differentiation and integration of experimental data using spline functions. Zbl 0311.65009Dierckx, P. 6 1975 On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2010 Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2007 Local subdivision of Powell–Sabin splines. Zbl 1093.65011Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2006 Inserting new knots into beta-spline curves. Zbl 0693.41014Dierckx, P.; Tytgat, B. 5 1989 Smoothing scattered data with a monotone Powell-Sabin spline surface. Zbl 0858.65010Willemans, Karin; Dierckx, Paul 4 1996 Algorithms for smoothing data with periodic and parametric splines. Zbl 0535.65004Dierckx, P. 4 1982 Constrained surface fitting using Powell-Sabin splines. Zbl 0817.65009Willemans, K.; Dierckx, P. 3 1994 On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 2 2008 NURPS for special effects and quadrics. Zbl 0989.65032Windmolders, Joris; Dierckx, Paul 2 2001 Calculation of Fourier coefficients of discrete functions using cubic splines. Zbl 0368.65066Dierckx, P.; Piessens, R. 2 1977 Multigrid methods with Powell-Sabin splines. Zbl 1158.65084Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 1 2008 An algorithm for surface reconstruction from planar contours using smoothing splines. Zbl 0651.65006Dierckx, Paul; Suetens, Paul; Vandermeulen, Dirk 1 1988 Fast algorithms for smoothing data over a disc or a sphere using tensor product splines. Zbl 0617.41023Dierckx, P. 1 1987 Computation of least-squares spline approximation to data over incomplete grids. Zbl 0579.65010Dierckx, Paul 1 1984 An algorithm for least-squares fitting of cubic spline surfaces to functions on a rectilinear mesh over a rectangle. Zbl 0362.65007Dierckx, P. 1 1977 On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2010 Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 19 2009 On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 2 2008 Multigrid methods with Powell-Sabin splines. Zbl 1158.65084Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 1 2008 Weight control for modelling with NURPS surfaces. Zbl 1171.65353Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 7 2007 Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2007 Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 26 2006 Local subdivision of Powell–Sabin splines. Zbl 1093.65011Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2006 Automatic construction of control triangles for subdivided Powell — Sabin splines. Zbl 1069.41508Vanraes, Evelyne; Windmolders, Joris; Bultheel, Adhemar; Dierckx, Paul 13 2004 On the stability of normalized Powell–Sabin B-splines. Zbl 1045.41007Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 13 2004 Uniform Powell-Sabin spline wavelets. Zbl 1018.65155Windmolders, Joris; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 6 2003 NURPS for special effects and quadrics. Zbl 0989.65032Windmolders, Joris; Dierckx, Paul 2 2001 Subdivision of uniform Powell–Sabin splines. Zbl 0916.68153Windmolders, Joris; Dierckx, Paul 13 1999 On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152Dierckx, Paul 58 1997 Smoothing scattered data with a monotone Powell-Sabin spline surface. Zbl 0858.65010Willemans, Karin; Dierckx, Paul 4 1996 Curve and surface fitting with splines. Zbl 0932.41010Dierckx, Paul 26 1995 Nonnegative surface fitting with Powell-Sabin splines. Zbl 0832.65007Willemans, Karin; Dierckx, Paul 6 1995 Surface fitting using convex Powell-Sabin splines. Zbl 0827.65017Willemans, Karin; Dierckx, Paul 16 1994 Constrained surface fitting using Powell-Sabin splines. Zbl 0817.65009Willemans, K.; Dierckx, P. 3 1994 Curve and surface fitting with splines. Zbl 0782.41016Dierckx, Paul 97 1993 Algorithms for surface fitting using Powell-Sabin splines. Zbl 0774.65007Dierckx, P.; Van Leemput, S.; Vermeire, T. 24 1992 Generating the Bézier points of a \(\beta\)-spline curve. Zbl 0682.65004Dierckx, Paul; Tytgat, Bart 16 1989 Inserting new knots into beta-spline curves. Zbl 0693.41014Dierckx, P.; Tytgat, B. 5 1989 An algorithm for surface reconstruction from planar contours using smoothing splines. Zbl 0651.65006Dierckx, Paul; Suetens, Paul; Vandermeulen, Dirk 1 1988 Fast algorithms for smoothing data over a disc or a sphere using tensor product splines. Zbl 0617.41023Dierckx, P. 1 1987 Algorithms for smoothing data on the sphere with tensor product splines. Zbl 0529.65004Dierckx, P. 8 1984 Computation of least-squares spline approximation to data over incomplete grids. Zbl 0579.65010Dierckx, Paul 1 1984 A fast algorithm for smoothing data on a rectangular grid while using spline functions. Zbl 0493.65003Dierckx, Paul 7 1982 Algorithms for smoothing data with periodic and parametric splines. Zbl 0535.65004Dierckx, P. 4 1982 An algorithm for surface-fitting with spline functions. Zbl 0469.65006Dierckx, P. 10 1981 An algorithm for cubic spline fitting with convexity constraints. Zbl 0419.65006Dierckx, P. 12 1980 Calculation of Fourier coefficients of discrete functions using cubic splines. Zbl 0368.65066Dierckx, P.; Piessens, R. 2 1977 An algorithm for least-squares fitting of cubic spline surfaces to functions on a rectilinear mesh over a rectangle. Zbl 0362.65007Dierckx, P. 1 1977 An algorithm for smoothing, differentiation and integration of experimental data using spline functions. Zbl 0311.65009Dierckx, P. 6 1975 all cited Publications top 5 cited Publications all top 5 Cited by 396 Authors 28 Speleers, Hendrik 20 Dierckx, Paul 12 Duan, Qi 10 Jüttler, Bert 10 Sbibih, Driss 9 Bultheel, Adhemar François 8 Grošelj, Jan 8 Tijini, Ahmed 8 Twizell, E. H. 7 Maes, Jan 7 Serghini, Abdelhafid 6 Eilers, Paul H. C. 6 Manni, Carla 6 Mraoui, Hamid 6 Schumaker, Larry L. 6 Vandewalle, Stefan G. 5 Beliakov, Gleb 5 Lamnii, M. 4 Bao, Fangxun 4 Lamnii, Abdelleh 4 Marx, Brian D. 4 Pelosi, Francesca 4 Tutz, Gerhard E. 4 Vanraes, Evelyne 3 Aerts, Marc 3 Cardot, Hervé 3 Demetriou, Ioannis C. 3 Djidjeli, K. 3 Gálvez, Akemi 3 Giannelli, Carlotta 3 Hughes, Thomas J. R. 3 Iglesias, Andrés 3 Knez, Marjeta 3 Lyche, Tom 3 Machalová, Jitka 3 Price, W. Geraint 3 Qian, Xiaoping 3 Sablonnière, Paul 3 Shabana, Ahmed A. 3 Turlach, Berwin A. 3 Willemans, Karin 3 Xia, Songtao 3 Zhang, Yunfeng 2 Barry, Phillip J. 2 Bollaerts, Kaatje 2 Currie, Iain D. 2 de Borst, René 2 Deng, Jiansong 2 Dette, Holger 2 Durban, Maria 2 Faivre, Robert 2 Flöry, Simon 2 Fortes, Miguel Angel 2 Frasso, Gianluca 2 Ghosh, Sujit Kumar 2 Gijbels, Irène 2 Gill, Ryan S. 2 Goga, Camelia 2 Hiemstra, René R. 2 Hron, Karel 2 Hu, Gang 2 Jaeger, Jonathan 2 Kang, Hongmei 2 Kersey, Scott N. 2 Krajnc, Marjeta 2 Lai, Mingjun 2 Lambert, Philippe 2 Lavery, John E. 2 May, Stefan 2 Melas, Viatcheslav B. 2 Mulansky, Bernd 2 Muntingh, Georg 2 Neuman, Edward 2 Nine, B. 2 Pan, Jianxun 2 Pasadas, Miguel 2 Petry, Sebastian 2 Pisinger, Georg 2 Sampoli, Maria Lucia 2 Sanborn, Graham G. 2 Schmidt, Jochen Wilhelm 2 Schütze, Torsten 2 Schwetlick, Hubert 2 Staroswiecki, Marcel 2 Sun, Qinghua 2 Toshniwal, Deepesh 2 Verbeke, Geert N. 2 Vignollet, Julien 2 Villamizar, Nelly 2 Wang, Liqiu 2 Wei, Guo 2 Windmolders, Joris 2 Zerarka, Abdelwahab 2 Zhang, Huanling 2 Zhang, Suxia 2 Zidna, Ahmed 2 Zimmermann, Alexander 1 Abaffy, Jozsef 1 Achterhold, Klaus 1 Agrawal, Mani K. ...and 296 more Authors all top 5 Cited in 82 Serials 40 Computer Aided Geometric Design 30 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 12 Computer Methods in Applied Mechanics and Engineering 11 Computational Statistics and Data Analysis 10 BIT 9 Journal of Applied Statistics 8 Computers & Mathematics with Applications 7 Applied Numerical Mathematics 4 Computing 4 Advances in Computational Mathematics 4 Statistical Modelling 3 Mathematics of Computation 3 Annals of the Institute of Statistical Mathematics 3 International Journal for Numerical Methods in Engineering 3 Numerische Mathematik 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Constructive Approximation 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 Journal of Nonparametric Statistics 3 Nonlinear Dynamics 3 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Mathematical Biosciences 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Biometrics 2 Information Sciences 2 Journal of Approximation Theory 2 Journal of Statistical Planning and Inference 2 Computers & Operations Research 2 Mathematical and Computer Modelling 2 Computational Statistics 2 Mathematical Problems in Engineering 2 International Journal of Wavelets, Multiresolution and Information Processing 2 AStA. Advances in Statistical Analysis 2 Statistics and Computing 1 The Canadian Journal of Statistics 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Psychometrika 1 Automatica 1 Biometrical Journal 1 Journal of Econometrics 1 Journal of Multivariate Analysis 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Statistical Science 1 Discrete & Computational Geometry 1 International Journal of Intelligent Systems 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Signal Processing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Journal of Statistical Computation and Simulation 1 Pattern Recognition 1 Computational Optimization and Applications 1 Lifetime Data Analysis 1 International Journal of Shape Modeling 1 International Journal of Computational Fluid Dynamics 1 Multibody System Dynamics 1 Mechanism and Machine Theory 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Journal of Turbulence 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Review of Derivatives Research 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Mathematical Geosciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computational Visual Media 1 SMAI Journal of Computational Mathematics all top 5 Cited in 27 Fields 190 Numerical analysis (65-XX) 89 Approximations and expansions (41-XX) 57 Statistics (62-XX) 19 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 10 Mechanics of deformable solids (74-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline