Edit Profile (opens in new tab) Costantini, Paolo Giuseppe Co-Author Distance Author ID: costantini.paolo-giuseppe Published as: Costantini, Paolo; Costantini, P.; Costantini, Paolo Giuseppe more...less Documents Indexed: 59 Publications since 1979 1 Contribution as Editor Co-Authors: 14 Co-Authors with 44 Joint Publications 287 Co-Co-Authors all top 5 Co-Authors 16 single-authored 25 Manni, Carla 11 Pelosi, Francesca 9 Sampoli, Maria Lucia 3 Asaturyan, Souren 3 Morandi, Rossana 2 Kaklis, Panagiotis D. 2 Lyche, Tom 1 Cravero, Isabella 1 Farouki, Rida T. 1 Fontanella, Ferruccio 1 Goodman, Timothy N. T. 1 Hahmann, Stefanie 1 Kvasov, Boris I. 1 Sestini, Alessandra all top 5 Serials 9 Computer Aided Geometric Design 5 Advances in Computational Mathematics 4 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 2 ACM Transactions on Mathematical Software 2 BIT 2 Calcolo 2 Numerische Mathematik 2 SIAM Journal on Scientific and Statistical Computing 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 CAD. Computer-Aided Design 1 IMA Journal of Numerical Analysis 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Computing 1 Constructive Approximation 1 Numerical Algorithms 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Bollettino della Unione Matematica Italiana. Series V. A all top 5 Fields 46 Numerical analysis (65-XX) 32 Approximations and expansions (41-XX) 8 Computer science (68-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 540 times in 257 Documents Cited by ▼ Year ▼ On a class of weak Tchebycheff systems. Zbl 1085.41002 Costantini, Paolo; Lyche, Tom; Manni, Carla 71 2005 Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128 Costantini, P. 60 2000 On monotone and convex spline interpolation. Zbl 0617.41015 Costantini, Paolo 36 1986 Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049 Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia 35 2010 Shape-preserving bivariate interpolation. Zbl 0696.65006 Costantini, Paolo; Fontanella, Ferruccio 23 1990 An algorithm for computing shape-preserving interpolating splines of arbitrary degree. Zbl 0646.65009 Costantini, Paolo 16 1988 Shape-preserving approximation of spatial data. Zbl 1045.65010 Costantini, Paolo; Pelosi, Francesca 15 2004 Polynomial cubic splines with tension properties. Zbl 1205.65048 Costantini, P.; Kaklis, P. D.; Manni, C. 15 2010 Geometric construction of spline curves with tension properties. Zbl 1069.41500 Costantini, Paolo; Manni, Carla 14 2003 Monotone and convex cubic spline interpolation. Zbl 0565.41006 Costantini, Paolo; Morandi, Rossana 14 1984 Shape-preserving \(C^3\) interpolation: The curve case. Zbl 1018.65017 Costantini, P.; Manni, C. 13 2003 Co-monotone interpolating splines of arbitrary degree - a local approach. Zbl 0639.65007 Costantini, Paolo 13 1987 Piecewise monotone quadratic histosplines. Zbl 0671.65008 Morandi, Rossana; Costantini, Paolo 11 1989 Variable degree polynomial splines. Zbl 0938.65018 Costantini, Paolo 11 1997 On discrete hyperbolic tension splines. Zbl 0951.65013 Costantini, Paolo; Kvasov, Boris I.; Manni, Carla 11 1999 A bicubic shape-preserving blending scheme. Zbl 0875.68862 Costantini, Paolo; Manni, Carla 10 1996 Computation of optimal composite re-parameterizations. Zbl 0984.68161 Costantini, Paolo; Farouki, Rida T.; Manni, Carla; Sestini, Alessandra 10 2001 Geometric construction of generalized cubic splines. Zbl 1131.65011 Costantini, Paolo; Manni, Carla 10 2006 Local shape-preserving interpolation by space curves. Zbl 0976.65007 Asaturyan, Souren; Costantini, Paolo; Manni, Carla 9 2001 Shape-preserving approximation by space curves. Zbl 1079.65018 Costantini, Paolo; Pelosi, Francesca 9 2001 New spline spaces with generalized tension properties. Zbl 1175.41006 Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria L. 9 2008 Shape-preserving interpolation with variable degree polynomial splines. Zbl 0867.68107 Costantini, Paolo 8 1996 Boundary-valued shape-preserving interpolating splines. Zbl 0887.65010 Costantini, P. 8 1997 An algorithm for computing shape-preserving cubic spline interpolation to data. Zbl 0568.65008 Costantini, P.; Morandi, R. 8 1984 On some recent methods for bivariate shape-preserving interpolation. Zbl 0707.41001 Costantini, P. 8 1990 A local scheme for bivariate co-monotone interpolation. Zbl 0744.65006 Costantini, Paolo; Manni, Carla 8 1991 On constrained nonlinear Hermite subdivision. Zbl 1177.65021 Costantini, Paolo; Manni, Carla 8 2008 Curve and surface construction using Hermite subdivision schemes. Zbl 1181.65021 Costantini, Paolo; Manni, Carla 8 2010 A local shape-preserving interpolation scheme for scattered data. Zbl 0916.68155 Costantini, Paolo; Manni, Carla 7 1999 A geometric approach for Hermite subdivision. Zbl 1198.65043 Costantini, Paolo; Manni, Carla 7 2010 Comonotone parametric \(C^ 1\) interpolation of nongridded data. Zbl 0864.65005 Costantini, P.; Manni, C. 6 1996 Monotonicity-preserving interpolation of nongridded data. Zbl 0900.68408 Costantini, Paolo; Manni, Carla 5 1996 Constructing \(C^3\) shape preserving interpolating space curves. Zbl 0977.65005 Costantini, P.; Goodman, T. N. T.; Manni, C. 5 2001 A general scheme for shape preserving planar interpolating curves. Zbl 1037.65019 Costantini, Paolo; Sampoli, Maria Lucia 5 2003 Properties and applications of new polynomial spaces. Zbl 1139.65303 Costantini, Paolo 5 2006 Data approximation using shape-preserving parametric surfaces. Zbl 1205.65075 Costantini, Paolo; Pelosi, Francesca 4 2009 A parametric cubic element with tension properties. Zbl 0924.65008 Costantini, Paolo; Manni, Carla 4 1998 On a class of polynomial triangular macro-elements. Zbl 0879.65005 Costantini, Paolo; Manni, Carla 3 1996 \(G^2\) shape-preserving parametric planar curve interpolation. Zbl 0927.65016 Asaturyan, Souren; Costantini, Paolo; Manni, Carla 2 1998 Shape-preserving interpolating curves in \(\mathbb{R}^3\): A local approach. Zbl 0927.65017 Asaturyan, Souren; Costantini, Paolo; Manni, Carla 2 1998 Algorithms for shape-preserving interpolation. Zbl 0673.65002 Costantini, Paolo 2 1989 Shape preserving histogram approximation. Zbl 1145.65006 Costantini, Paolo; Pelosi, Francesca 2 2007 Constrained bivariate histosplines. Zbl 1043.65019 Costantini, Paolo; Pelosi, Francesca 2 2003 Boolean surfaces with shape constraints. Zbl 1206.65077 Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria Lucia 2 2008 On the geometrical structure of Euler-Lagrange equations. Zbl 0815.58002 Costantini, Paolo Giuseppe 1 1994 Migliore approssimazione uniforme mediante polinomi vincolati. Zbl 0416.41024 Costantini, Paolo 1 1979 Shape preserving data approximation using new spline spaces. Zbl 1080.65516 Costantini, P.; Pelosi, F. 1 2005 Triangular surface patches with shape constraints. Zbl 1131.65014 Costantini, Paolo; Pelosi, Francesca; Sampoli, M. Lucia 1 2007 Constrained interpolation by Frenet frame continuous quintics. Zbl 1043.65024 Costantini, Paolo; Cravero, Isabella; Manni, Carla 1 2003 Compactly supported splines with tension properties on a three-direction mesh. Zbl 1274.65032 Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria Lucia 1 2010 Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049 Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia 35 2010 Polynomial cubic splines with tension properties. Zbl 1205.65048 Costantini, P.; Kaklis, P. D.; Manni, C. 15 2010 Curve and surface construction using Hermite subdivision schemes. Zbl 1181.65021 Costantini, Paolo; Manni, Carla 8 2010 A geometric approach for Hermite subdivision. Zbl 1198.65043 Costantini, Paolo; Manni, Carla 7 2010 Compactly supported splines with tension properties on a three-direction mesh. Zbl 1274.65032 Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria Lucia 1 2010 Data approximation using shape-preserving parametric surfaces. Zbl 1205.65075 Costantini, Paolo; Pelosi, Francesca 4 2009 New spline spaces with generalized tension properties. Zbl 1175.41006 Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria L. 9 2008 On constrained nonlinear Hermite subdivision. Zbl 1177.65021 Costantini, Paolo; Manni, Carla 8 2008 Boolean surfaces with shape constraints. Zbl 1206.65077 Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria Lucia 2 2008 Shape preserving histogram approximation. Zbl 1145.65006 Costantini, Paolo; Pelosi, Francesca 2 2007 Triangular surface patches with shape constraints. Zbl 1131.65014 Costantini, Paolo; Pelosi, Francesca; Sampoli, M. Lucia 1 2007 Geometric construction of generalized cubic splines. Zbl 1131.65011 Costantini, Paolo; Manni, Carla 10 2006 Properties and applications of new polynomial spaces. Zbl 1139.65303 Costantini, Paolo 5 2006 On a class of weak Tchebycheff systems. Zbl 1085.41002 Costantini, Paolo; Lyche, Tom; Manni, Carla 71 2005 Shape preserving data approximation using new spline spaces. Zbl 1080.65516 Costantini, P.; Pelosi, F. 1 2005 Shape-preserving approximation of spatial data. Zbl 1045.65010 Costantini, Paolo; Pelosi, Francesca 15 2004 Geometric construction of spline curves with tension properties. Zbl 1069.41500 Costantini, Paolo; Manni, Carla 14 2003 Shape-preserving \(C^3\) interpolation: The curve case. Zbl 1018.65017 Costantini, P.; Manni, C. 13 2003 A general scheme for shape preserving planar interpolating curves. Zbl 1037.65019 Costantini, Paolo; Sampoli, Maria Lucia 5 2003 Constrained bivariate histosplines. Zbl 1043.65019 Costantini, Paolo; Pelosi, Francesca 2 2003 Constrained interpolation by Frenet frame continuous quintics. Zbl 1043.65024 Costantini, Paolo; Cravero, Isabella; Manni, Carla 1 2003 Computation of optimal composite re-parameterizations. Zbl 0984.68161 Costantini, Paolo; Farouki, Rida T.; Manni, Carla; Sestini, Alessandra 10 2001 Local shape-preserving interpolation by space curves. Zbl 0976.65007 Asaturyan, Souren; Costantini, Paolo; Manni, Carla 9 2001 Shape-preserving approximation by space curves. Zbl 1079.65018 Costantini, Paolo; Pelosi, Francesca 9 2001 Constructing \(C^3\) shape preserving interpolating space curves. Zbl 0977.65005 Costantini, P.; Goodman, T. N. T.; Manni, C. 5 2001 Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128 Costantini, P. 60 2000 On discrete hyperbolic tension splines. Zbl 0951.65013 Costantini, Paolo; Kvasov, Boris I.; Manni, Carla 11 1999 A local shape-preserving interpolation scheme for scattered data. Zbl 0916.68155 Costantini, Paolo; Manni, Carla 7 1999 A parametric cubic element with tension properties. Zbl 0924.65008 Costantini, Paolo; Manni, Carla 4 1998 \(G^2\) shape-preserving parametric planar curve interpolation. Zbl 0927.65016 Asaturyan, Souren; Costantini, Paolo; Manni, Carla 2 1998 Shape-preserving interpolating curves in \(\mathbb{R}^3\): A local approach. Zbl 0927.65017 Asaturyan, Souren; Costantini, Paolo; Manni, Carla 2 1998 Variable degree polynomial splines. Zbl 0938.65018 Costantini, Paolo 11 1997 Boundary-valued shape-preserving interpolating splines. Zbl 0887.65010 Costantini, P. 8 1997 A bicubic shape-preserving blending scheme. Zbl 0875.68862 Costantini, Paolo; Manni, Carla 10 1996 Shape-preserving interpolation with variable degree polynomial splines. Zbl 0867.68107 Costantini, Paolo 8 1996 Comonotone parametric \(C^ 1\) interpolation of nongridded data. Zbl 0864.65005 Costantini, P.; Manni, C. 6 1996 Monotonicity-preserving interpolation of nongridded data. Zbl 0900.68408 Costantini, Paolo; Manni, Carla 5 1996 On a class of polynomial triangular macro-elements. Zbl 0879.65005 Costantini, Paolo; Manni, Carla 3 1996 On the geometrical structure of Euler-Lagrange equations. Zbl 0815.58002 Costantini, Paolo Giuseppe 1 1994 A local scheme for bivariate co-monotone interpolation. Zbl 0744.65006 Costantini, Paolo; Manni, Carla 8 1991 Shape-preserving bivariate interpolation. Zbl 0696.65006 Costantini, Paolo; Fontanella, Ferruccio 23 1990 On some recent methods for bivariate shape-preserving interpolation. Zbl 0707.41001 Costantini, P. 8 1990 Piecewise monotone quadratic histosplines. Zbl 0671.65008 Morandi, Rossana; Costantini, Paolo 11 1989 Algorithms for shape-preserving interpolation. Zbl 0673.65002 Costantini, Paolo 2 1989 An algorithm for computing shape-preserving interpolating splines of arbitrary degree. Zbl 0646.65009 Costantini, Paolo 16 1988 Co-monotone interpolating splines of arbitrary degree - a local approach. Zbl 0639.65007 Costantini, Paolo 13 1987 On monotone and convex spline interpolation. Zbl 0617.41015 Costantini, Paolo 36 1986 Monotone and convex cubic spline interpolation. Zbl 0565.41006 Costantini, Paolo; Morandi, Rossana 14 1984 An algorithm for computing shape-preserving cubic spline interpolation to data. Zbl 0568.65008 Costantini, P.; Morandi, R. 8 1984 Migliore approssimazione uniforme mediante polinomi vincolati. Zbl 0416.41024 Costantini, Paolo 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 281 Authors 32 Manni, Carla 19 Costantini, Paolo Giuseppe 18 Mazure, Marie-Laurence 13 Han, Xuli 12 Schmidt, Jochen Wilhelm 12 Zhu, Yuanpeng 11 Peña, Juan Manuel 11 Speleers, Hendrik 9 Mainar, Esmeralda 9 Pelosi, Francesca 9 Sampoli, Maria Lucia 8 Hussain, Malik Zawwar 7 Carnicer, Jésus Miguel 6 Chand, Arya Kumar Bedabrata 6 Kvasov, Boris I. 6 Scott, Michael A. 6 Sestini, Alessandra 5 Bracco, Cesare 5 Morandi, Rossana 5 Roman, Fabio 5 Viswanathan, Puthan Veedu 4 Aldaz, Jésus Munárriz 4 Bosner, Tina 4 Cho, Durkbin 4 Gao, Wenwu 4 Hughes, Thomas J. R. 4 Hussain, Maria 4 Kim, Taewan 4 Li, Xin 4 Makarov, Anton Aleksandrovich 4 Oja, Peeter 4 Render, Hermann 4 Rogina, Mladen 4 Sarfraz, Muhammad 4 Sederberg, Thomas W. 3 Beccari, Carolina Vittoria 3 Casciola, Giulio 3 Duan, Qi 3 Evans, Emily J. 3 Giannelli, Carlotta 3 Hernández Mederos, Victoria 3 Heß, Walter 3 Jüttler, Bert 3 Kaklis, Panagiotis D. 3 Kounchev, Ognyan Ivanov 3 Kulikov, Egor Konstantinovich 3 Lyche, Tom 3 Thomas, Derek C. 3 Wang, Guozhao 2 Aimi, Alessandra 2 Conti, Costanza 2 Cravero, Isabella 2 Demichelis, Vittoria 2 Evans, John A. 2 Farouki, Rida T. 2 Fischer, Malle 2 Floater, Michael S. 2 Gabrielides, Nikolaos C. 2 Goodman, Timothy N. T. 2 Hong, Hoon 2 Iqbal, Rafhat 2 Jeong, Byeongseon 2 Kirsiaed, Evely 2 Kong, Voon Pang 2 Kouibia, Abdelouahed 2 Le Méhauté, Alain J. Y. 2 Liu, Shengjun 2 Lu, Lizheng 2 Ong, Boon-Hua 2 Pasadas, Miguel 2 Rasmussen, Atgeirr Flø 2 Reali, Alessandro 2 Renka, Robert J. 2 Sablonnière, Paul 2 Sapidis, Nickolas S. 2 Sbibih, Driss 2 Shah, Gul Wali 2 Shen, Wanqiang 2 Tijini, Ahmed 2 Twizell, E. H. 2 Utreras, Florencio I. 2 Vijender, Nallapu 2 Wang, Dongming 2 Wang, Kai 2 Wu, Zongmin 2 Yang, Jing 2 Yoon, Jungho 2 Zhang, Guicang 1 Abbas, Muhammad Mohsin 1 Agarwal, Ravi P. 1 Ait-Haddou, Rachid 1 Albrecht, Gudrun 1 Alfy, Itzik 1 Ali, Jamaludin Md. 1 Antoine, Xavier 1 Aqeel, Beenish 1 Aràndiga, Francesc 1 Awang, Mohd Nain Hj 1 Bao, Fangxun 1 Baramidze, Victoria ...and 181 more Authors all top 5 Cited in 67 Serials 45 Journal of Computational and Applied Mathematics 32 Computer Aided Geometric Design 14 Computer Methods in Applied Mechanics and Engineering 13 Numerical Algorithms 12 Applied Mathematics and Computation 12 BIT 10 Numerische Mathematik 9 Computers & Mathematics with Applications 9 Computing 7 Advances in Computational Mathematics 6 Mathematics and Computers in Simulation 5 Calcolo 4 Journal of Approximation Theory 4 Applied Numerical Mathematics 4 Constructive Approximation 3 Rocky Mountain Journal of Mathematics 3 Acta Applicandae Mathematicae 3 Journal of Scientific Computing 3 Mathematical Problems in Engineering 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Numerical Analysis 2 Journal of Mathematical Sciences (New York) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Wavelets, Multiresolution and Information Processing 1 The Canadian Journal of Statistics 1 Computer Physics Communications 1 Journal of Computational Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 ACM Transactions on Mathematical Software 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Soviet Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Computer Science and Technology 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Journal of Mathematical Imaging and Vision 1 Advances in Engineering Software 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Differential Equations and Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical Modelling and Analysis 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Journal of Applied Mathematics and Computing 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Zhejiang University. Science A 1 The Journal of Prime Research in Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Algorithms 1 Advances in Numerical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Mathematical Analysis 1 Journal of Fractal Geometry 1 AIMS Mathematics all top 5 Cited in 25 Fields 220 Numerical analysis (65-XX) 135 Approximations and expansions (41-XX) 14 Computer science (68-XX) 7 Partial differential equations (35-XX) 6 Measure and integration (28-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year