Computer Aided Geometric Design Short Title: Comput. Aided Geom. Des. Publisher: Elsevier (North-Holland), Amsterdam ISSN: 0167-8396 Online: http://www.sciencedirect.com/science/journal/01678396 Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,052 Publications (since 1984) References Indexed: 1,894 Publications with 44,154 References. all top 5 Latest Issues 115 (2024) 114 (2024) 113 (2024) 112 (2024) 111 (2024) 110 (2024) 109 (2024) 108 (2024) 107 (2023) 106 (2023) 105 (2023) 104 (2023) 103 (2023) 102 (2023) 101 (2023) 100 (2023) 99 (2022) 98 (2022) 97 (2022) 96 (2022) 95 (2022) 94 (2022) 93 (2022) 92 (2022) 91 (2021) 90 (2021) 89 (2021) 88 (2021) 87 (2021) 86 (2021) 85 (2021) 84 (2021) 83 (2020) 82 (2020) 81 (2020) 80 (2020) 79 (2020) 78 (2020) 77 (2020) 76 (2020) 75 (2019) 74 (2019) 73 (2019) 72 (2019) 71 (2019) 70 (2019) 69 (2019) 68 (2019) 67 (2018) 66 (2018) 65 (2018) 64 (2018) 63 (2018) 62 (2018) 61 (2018) 60 (2018) 59 (2018) 58 (2017) 57 (2017) 56 (2017) 55 (2017) 54 (2017) 52-53 (2017) 51 (2017) 50 (2017) 49 (2016) 48 (2016) 47 (2016) 46 (2016) 45 (2016) 44 (2016) 43 (2016) 42 (2016) 41 (2016) 40 (2015) 39 (2015) 38 (2015) 37 (2015) 35-36 (2015) 34 (2015) 33 (2015) 32 (2015) 31, No. 9 (2014) 31, No. 7-8 (2014) 31, No. 6 (2014) 31, No. 5 (2014) 31, No. 3-4 (2014) 31, No. 2 (2014) 31, No. 1 (2014) 30, No. 9 (2013) 30, No. 8 (2013) 30, No. 7 (2013) 30, No. 6 (2013) 30, No. 5 (2013) 30, No. 4 (2013) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) 29, No. 9 (2012) 29, No. 8 (2012) ...and 187 more Volumes all top 5 Authors 62 Farouki, Rida T. 46 Goldman, Ronald N. 44 Jüttler, Bert 37 Peters, Jorg 32 Sederberg, Thomas W. 28 Pottmann, Helmut 28 Wang, Wenping 27 Chen, Falai 26 Lávička, Miroslav 25 Hormann, Kai 22 Farin, Gerald E. 22 Prautzsch, Hartmut 20 Elber, Gershon 20 Kosinka, Jiří 20 Manni, Carla 19 Deng, Chongyang 19 Sánchez-Reyes, Javier 18 Peña, Juan Manuel 17 Dyn, Nira 17 Floater, Michael S. 17 Krajnc, Marjeta 17 Sabin, Malcolm A. 17 Schumaker, Larry L. 17 Xu, Guoliang 16 Reif, Ulrich 16 Šír, Zbyněk 16 Speleers, Hendrik 16 Vršek, Jan 15 Alcazar, Juan Gerardo 15 Karčiauskas, Kęstutis 15 Pérez-Díaz, Sonia 15 Romani, Lucia 15 Sestini, Alessandra 15 Wang, Guozhao 15 Zheng, Jianmin 14 Bajaj, Chandrajit L. 14 Bizzarri, Michal 14 Böhm, Wolfgang 13 Dodgson, Neil A. 13 Giannelli, Carlotta 13 Kim, Myung-Soo 13 Sampoli, Maria Lucia 13 Žagar, Emil 12 Beccari, Carolina Vittoria 12 Carnicer, Jésus Miguel 12 Deng, Jiansong 12 Hamann, Bernd 12 Jia, Xiaohong 12 Kwon, Song-Hwa 12 Ma, Weiyin 12 Meek, Dereck S. 12 Qin, Hong 12 Shen, Liyong 12 Tu, Changhe 11 Barton, Michael H. 11 Goodman, Timothy N. T. 11 Mourrain, Bernard 11 Wang, Guojin 10 Ait-Haddou, Rachid 10 Barnhill, Robert E. 10 Gregory, John A. 10 Hagen, Hans-Juergen 10 Han, Chang Yong 10 Hermann, Thomas 10 Lai, Mingjun 10 Liu, Ligang 10 Lyche, Tom 10 Mazure, Marie-Laurence 10 Peternell, Martin 10 Piper, Bruce 10 Várady, Tamás 10 Walton, Desmond J. 9 Costantini, Paolo Giuseppe 9 Hoschek, Josef 9 Hu, Shimin 9 Kaklis, Panagiotis D. 9 Lavery, John E. 9 Lee, E. T. Y. 9 Maekawa, Takashi 9 Manocha, Dinesh 9 Polthier, Konrad 9 Schicho, Josef 9 Seidel, Hans-Peter 9 Sendra, Juan Rafael 9 Wang, Xuhui 8 Casciola, Giulio 8 Choi, Hyeong In 8 Degen, Wendelin L. F. 8 Guo, Xiaohu 8 Hartmann, Erich 8 Li, Yajuan 8 Lin, Hongwei 8 Monterde, Juan 8 Nawratil, Georg 8 Nowacki, Horst 8 Patrikalakis, Nicholas M. 8 Sapidis, Nickolas S. 8 Wallner, Johannes 8 Worsey, Andrew J. 8 Xu, Gang ...and 2,110 more Authors all top 5 Fields 1,631 Numerical analysis (65-XX) 532 Computer science (68-XX) 401 Approximations and expansions (41-XX) 139 Differential geometry (53-XX) 75 Algebraic geometry (14-XX) 66 Geometry (51-XX) 25 General and overarching topics; collections (00-XX) 22 Convex and discrete geometry (52-XX) 21 Mechanics of particles and systems (70-XX) 21 Mechanics of deformable solids (74-XX) 20 Information and communication theory, circuits (94-XX) 17 Commutative algebra (13-XX) 14 Biology and other natural sciences (92-XX) 13 History and biography (01-XX) 12 Combinatorics (05-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 9 Operations research, mathematical programming (90-XX) 8 Partial differential equations (35-XX) 7 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,662 Publications have been cited 17,972 times in 6,534 Documents Cited by ▼ Year ▼ THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030 Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 243 2012 A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009 Dyn, Nira; Levin, David; Gregory, John A. 223 1987 A survey of curve and surface methods in CAGD. Zbl 0604.65005 Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen 210 1984 Mean value coordinates. Zbl 1069.65553 Floater, Michael S. 185 2003 Polynomial splines over locally refined box-partitions. Zbl 1264.41011 Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik 185 2013 The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039 Farouki, Rida T. 145 2012 Blossoms are polar forms. Zbl 0705.65008 Ramshaw, Lyle 141 1989 On linear independence of T-spline blending functions. Zbl 1251.65012 Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 117 2012 Algorithms for polynomials in Bernstein form. Zbl 0648.65007 Farouki, R. T.; Rajan, V. T. 115 1988 On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012 Farouki, R. T.; Rajan, V. T. 111 1987 High accuracy geometric Hermite interpolation. Zbl 0646.65004 de Boor, Carl; Höllig, Klaus; Sabin, Malcolm 103 1987 Rational curves and surfaces with rational offsets. Zbl 0872.65011 Pottmann, Helmut 99 1995 C-curves: An extension of cubic curves. Zbl 0900.68405 Zhang, Jiwen 97 1996 Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162 Floater, Michael S. 93 1997 The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005 Farouki, Rida T. 92 1994 Curvature formulas for implicit curves and surfaces. Zbl 1084.53004 Goldman, Ron 92 2005 The moving line ideal basis of planar rational curves. Zbl 0908.68174 Cox, David A.; Sederberg, Thomas W.; Chen, Falai 87 1998 An interpolating 4-point \(C^2\) ternary stationary subdivision scheme. Zbl 0984.68167 Hassan, M. F.; Ivrissimitzis, I. P.; Dodgson, N. A.; Sabin, M. A. 83 2002 Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017 Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas 80 2016 On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152 Dierckx, Paul 79 1997 A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007 Reif, Ulrich 76 1995 Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157 Mainar, E.; Peña, J. M.; Sánchez-Reyes, J. 74 2001 The geometry of Tchebycheffian splines. Zbl 0777.41016 Pottmann, Helmut 73 1993 Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105 Gonzalez-Vega, Laureano; Necula, Ioana 69 2002 Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023 Wallner, Johannes; Dyn, Nira 68 2005 Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094 Martin, T.; Cohen, E.; Kirby, R. M. 66 2009 Mean value coordinates in 3D. Zbl 1080.52010 Floater, Michael S.; Kós, Géza; Reimers, Martin 64 2005 Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001 Barnhill, R. E. 62 1985 Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128 Costantini, P. 62 2000 Improperly parametrized rational curves. Zbl 0594.65006 Sederberg, Thomas W. 61 1986 Discrete Coons patches. Zbl 0997.65033 Farin, Gerald; Hansford, Dianne 60 1999 An algebraic approach to curves and surfaces on the sphere and on other quadrics. Zbl 0781.65009 Dietz, Roland; Hoschek, Josef; Jüttler, Bert 59 1993 A class of Bézier-like curves. Zbl 1069.65514 Chen, Qinyu; Wang, Guozhao 59 2003 Analytic properties of plane offset curves. Zbl 0718.53003 Farouki, R. T.; Neff, C. A. 58 1990 A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325 Beccari, C.; Casciola, G.; Romani, L. 58 2007 Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011 Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut 55 1990 Tracing surface intersections. Zbl 0659.65012 Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H. 54 1988 Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018 Carnicer, J. M.; Peña, J. M. 52 1994 Refinable \(C^1\) spline elements for irregular quad layout. Zbl 1418.65026 Nguyen, Thien; Peters, Jörg 51 2016 The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158 Chen, F.; Zheng, J.; Sederberg, T. W. 49 2001 Minkowski Pythagorean hodographs. Zbl 0997.65023 Moon, Hwan Pyo 49 1999 Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026 Groisser, David; Peters, Jörg 49 2015 Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005 Choi, Hyeong In; Han, Chang Yong 48 2002 A Laguerre geometric approach to rational offsets. Zbl 0903.68190 Peternell, Martin; Pottmann, Helmut 47 1998 Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500 Xu, Guoliang 47 2004 Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Zbl 1172.65307 Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra 47 2008 An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007 Delfinado, Cecil Jose A.; Edelsbrunner, Herbert 46 1995 A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027 Speleers, Hendrik 46 2010 Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186 Moon, H. P.; Farouki, R. T.; Choi, H. I. 45 2001 Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417 Penã, J. M. 45 1997 A subdivision scheme for surfaces of revolution. Zbl 0970.68177 Morin, G.; Warren, J.; Weimer, H. 44 2001 Applications of Laguerre geometry in CAGD. Zbl 0996.65018 Pottmann, Helmut; Peternell, Martin 44 1998 A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003 Alfeld, Peter 44 1984 Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500 Han, Xuli 44 2004 Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017 Cazals, F.; Pouget, M. 43 2005 An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153 Floater, Michael S. 42 1997 Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152 Sánchez-Reyes, Javier 42 1998 Approximation of circular arcs by cubic polynomials. Zbl 0756.41009 Goldapp, Michael 42 1991 Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145 Klok, Fopke 41 1986 Algebraic properties of plane offset curves. Zbl 0724.65008 Farouki, R. T.; Neff, C. A. 41 1990 An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control. Zbl 1171.65326 Beccari, C.; Casciola, G.; Romani, L. 41 2007 An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 1470.65016 Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas 41 2019 4–8 Subdivision. Zbl 0969.68157 Velho, L.; Zorin, D. 40 2001 The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861 Farouki, Rida T. 40 1996 Direct immersogeometric fluid flow analysis using B-rep CAD models. Zbl 1418.76042 Hsu, Ming-Chen; Wang, Chenglong; Xu, Fei; Herrema, Austin J.; Krishnamurthy, Adarsh 40 2016 A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155 Zorin, D.; Schröder, P. 39 2001 Degree reduction of Bézier curves. Zbl 0786.65016 Eck, Matthias 39 1993 Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035 Sherbrooke, Evan C.; Patrikalakis, Nicholas M. 39 1993 Some properties of LR-splines. Zbl 1284.65024 Bressan, Andrea 39 2013 Tracing index of rational curve parametrizations. Zbl 0983.68224 Sendra, J. R.; Winkler, F. 38 2001 A family of subdivision schemes with cubic precision. Zbl 1172.65308 Hormann, Kai; Sabin, Malcolm A. 38 2008 Shape preserving properties of the generalised Ball basis. Zbl 0729.65006 Goodman, T. N. T.; Said, H. B. 37 1991 Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049 Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia 37 2010 Nuat B-spline curves. Zbl 1069.41510 Wang, Guozhao; Chen, Qinyu; Zhou, Minghua 37 2004 Two different forms of C-B-splines. Zbl 0900.68418 Zhang, Jiwen 36 1997 Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019 Abhyankar, Shreeram S.; Bajaj, Chanderjit L. 36 1988 Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon. Zbl 0997.65016 Nairn, D.; Peters, J.; Lutterkort, D. 36 1999 Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187 Han, Xuli 36 2002 Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559 Monterde, J. 36 2004 Polynomial generation and quasi-interpolation in stationary non-uniform subdivision. Zbl 1069.41503 Levin, A. 36 2003 Isogeometric analysis with strong multipatch \(C^{1}\)-coupling. Zbl 1505.65050 Chan, C. L.; Anitescu, C.; Rabczuk, T. 36 2018 Chebyshev economization for parametric surfaces. Zbl 0709.65012 Lachance, Michael A. 35 1988 A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014 Monterde, J.; Ugail, H. 35 2006 Planar domain parameterization with THB-splines. Zbl 1417.65066 Falini, Antonella; Špeh, Jaka; Jüttler, Bert 35 2015 Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038 Speleers, Hendrik 35 2013 Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863 Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L. 34 1996 Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110 Woźny, Paweł; Lewanowicz, Stanisław 34 2009 Curvature continuous curves and surfaces. Zbl 0645.53002 Boehm, Wolfgang 34 1985 Cyclides in computer aided geometric design. Zbl 0712.65008 Pratt, M. J. 34 1990 Weighted progressive iteration approximation and convergence analysis. Zbl 1210.65044 Lu, Lizheng 34 2010 Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations. Zbl 1366.65106 Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas 34 2017 Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010 Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly 34 2016 On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018 Pérez-Díaz, Sonia 34 2006 Properties of \(n\)-dimensional triangulations. Zbl 0624.65018 Lawson, Charles L. 33 1986 Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120 Joe, Barry 33 1991 A normalized basis for reduced Clough-Tocher splines. Zbl 1210.65026 Speleers, Hendrik 33 2010 On harmonic and biharmonic Bézier surfaces. Zbl 1069.65526 Monterde, J.; Ugail, H. 33 2004 Analysis-suitable adaptive T-mesh refinement with linear complexity. Zbl 1375.65035 Morgenstern, Philipp; Peterseim, Daniel 33 2015 The algebra and geometry of Steiner and other quadratically parametrizable surfaces. Zbl 0875.68860 Coffman, Adam; Schwartz, Art J.; Stanton, Charles 32 1996 Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion. Zbl 1205.65097 Monterde, J. 32 2009 Genuine multi-sided parametric surface patches – a survey. Zbl 07845519 Várady, Tamás; Salvi, Péter; Vaitkus, Márton 1 2024 Quadratic surface preserving parameterization of unorganized point data. Zbl 07845520 Ríos, Dany; Scholz, Felix; Jüttler, Bert 1 2024 De Casteljau’s algorithm in geometric data analysis: theory and application. Zbl 07845521 Hanik, Martin; Nava-Yazdani, Esfandiar; von Tycowicz, Christoph 1 2024 New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves. Zbl 1534.65035 Hormann, Kai; Romani, Lucia; Viscardi, Alberto 1 2024 On discrete constant principal curvature surfaces. Zbl 07873072 Kabata, Yutaro; Matsutani, Shigeki; Ogata, Yuta 1 2024 Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network. Zbl 07873095 Zhan, Zheng; Wang, Wenping; Chen, Falai 1 2024 A tour d’horizon of de Casteljau’s work. Zbl 07923117 Müller, Andreas 1 2024 On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration. Zbl 07686152 Ji, Ye; Chen, Kewang; Möller, Matthias; Vuik, Cornelis 3 2023 Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints. Zbl 1528.65015 Farouki, Rida T.; Pelosi, Francesca; Sampoli, Maria Lucia 3 2023 Sasaki metric for spline models of manifold-valued trajectories. Zbl 1522.65024 Nava-Yazdani, Esfandiar; Ambellan, Felix; Hanik, Martin; von Tycowicz, Christoph 2 2023 Blending Bézier patch for multi-sided surface modeling. Zbl 07734067 Qin, Kaikai; Li, Yajuan; Deng, Chongyang 2 2023 On \(C^0\) and \(C^1\) continuity of envelopes of rotational solids and its application to 5-axis CNC machining. Zbl 1530.65025 Ponce-Vanegas, Felipe; Bizzarri, Michal; Bartoň, Michael 1 2023 Computing symmetries of implicit algebraic surfaces. Zbl 1522.14074 Alcázar, Juan Gerardo; Lávička, Miroslav; Vršek, Jan 1 2023 Point-normal subdivision curves and surfaces. Zbl 07711473 Yang, Xunnian 1 2023 Extraction and application of super-smooth cubic B-splines over triangulations. Zbl 07695025 Grošelj, Jan; Speleers, Hendrik 1 2023 Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation. Zbl 07695026 Xiao, Dong; Shi, Zuoqiang; Li, Siyu; Deng, Bailin; Wang, Bin 1 2023 Generalized plane offsets and rational parameterizations. Zbl 07695027 Rochera, David 1 2023 Computing the Riemannian center of mass on meshes. Zbl 07695028 Mancinelli, Claudio; Puppo, Enrico 1 2023 Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes. Zbl 1516.65007 Groiss, Lisa; Jüttler, Bert; Pan, Maodong 1 2023 Penalty function-based volumetric parameterization method for isogeometric analysis. Zbl 1489.65029 Ji, Ye; Wang, Meng-Yun; Pan, Mao-Dong; Zhang, Yi; Zhu, Chun-Gang 8 2022 Non-uniform interpolatory subdivision schemes with improved smoothness. Zbl 1489.65028 Dyn, Nira; Hormann, Kai; Mancinelli, Claudio 6 2022 Offsets and front tire tracks to projective hedgehogs. Zbl 1504.52001 Rochera, David 5 2022 Constructing planar domain parameterization with HB-splines via quasi-conformal mapping. Zbl 1497.65051 Pan, Maodong; Chen, Falai 4 2022 Exact sphere representations over Platonic solids based on rational multisided Bézier patches. Zbl 1501.65006 Grošelj, Jan; Praprotnik, Ada Šadl 3 2022 Surface patches with rounded corners. Zbl 1497.65039 Marussig, Benjamin; Reif, Ulrich 3 2022 \(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces. Zbl 1527.65017 Marsala, Michelangelo; Mantzaflaris, Angelos; Mourrain, Bernard 3 2022 Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths. Zbl 07559524 Cigler, Grega; Žagar, Emil 3 2022 \(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis. Zbl 1497.65037 Ji, Ye; Li, Jing-Gai; Yu, Ying-Ying; Zhu, Chun-Gang 3 2022 Characteristic parameterizations of surfaces with a constant ratio of principal curvatures. Zbl 1489.65045 Wang, Hui; Pottmann, Helmut 3 2022 A simple formula for the computation of branches and asymptotes of curves and some applications. Zbl 1492.65050 Campo-Montalvo, Elena; de Sevilla, Marián Fernández; Pérez-Díaz, Sonia 3 2022 IGA-reuse-NET: a deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization. Zbl 1493.65273 Wang, Dandan; Xu, Jinlan; Gao, Fei; Wang, Charlie C. L.; Gu, Renshu; Lin, Fei; Rabczuk, Timon; Xu, Gang 2 2022 Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization. Zbl 1503.65044 Hruda, Lukáš; Kolingerová, Ivana; Lávička, Miroslav; Maňák, Martin 2 2022 Determining the asymptotic family of an implicit curve. Zbl 1506.14116 Campo-Montalvo, E.; de Sevilla, M. Fernández; Benedicto, R. Magdalena; Pérez-Díaz, S. 2 2022 Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves. Zbl 1497.65088 Fang, Lincong; Li, Yujun 2 2022 An unrefinement algorithm for planar THB-spline parameterizations. Zbl 1504.65029 Heydarov, Teymur; Buffa, Annalisa; Jüttler, Bert 2 2022 Rational framing motions and spatial rational Pythagorean hodograph curves. Zbl 1504.65054 Kalkan, Bahar; Scharler, Daniel F.; Schröcker, Hans-Peter; Šír, Zbyněk 2 2022 Approximation by polynomial splines on curved triangulations. Zbl 1489.65023 Schumaker, Larry L.; Yu, Annan 2 2022 A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics. Zbl 1489.65042 Lai, Yisheng; Chen, Falai; Shi, Xiaoran; Gao, Yu 2 2022 Geometric approximation of the sphere by triangular polynomial spline patches. Zbl 1489.65024 Vavpetič, Aleš; Žagar, Emil 2 2022 Dense representative tooth landmark/axis detection network on 3D model. Zbl 1489.65033 Wei, Guangshun; Cui, Zhiming; Zhu, Jie; Yang, Lei; Zhou, Yuanfeng; Singh, Pradeep; Gu, Min; Wang, Wenping 2 2022 Hyperbolic barycentric coordinates and applications. Zbl 1493.65041 Bensad, Alaa eddine; Ikemakhen, Aziz 1 2022 Multi-stable design of triangulated origami structures on cones of revolution. Zbl 1493.65042 Nawratil, Georg 1 2022 Contact detection between a small ellipsoid and another quadric. Zbl 1501.51014 Brozos-Vázquez, M.; Pereira-Sáez, M. J.; Rodríguez-Raposo, A. B.; Souto-Salorio, M. J.; Tarrío-Tobar, A. D. 1 2022 D3AdvM: a direct 3D adversarial sample attack inside mesh data. Zbl 07576581 Xu, Huangxinxin; He, Fazhi; Fan, Linkun; Bai, Junwei 1 2022 3D mesh cutting for high quality atlas packing. Zbl 07621036 Wang, Shiyi; Chen, Jiong; Gao, Xifeng; Bao, Hujun; Huang, Jin 1 2022 Topology of the singularities of 3-RPR planar parallel robots. Zbl 1507.14082 Spartalis, Christoforos; Capco, Jose 1 2022 Classification of polynomial minimal surfaces. Zbl 1496.65023 Fang, Lincong; Peng, Yingli; Li, Yujun; Cao, Juan 1 2022 A unified algebraic framework for fast and precise planar swept volumes and Minkowski sums. Zbl 1496.65030 Machchhar, Jinesh 1 2022 Approximate symmetries of perturbed planar discrete curves. Zbl 1496.14060 Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan 1 2022 The uniqueness of the rational Bézier polygon is unique. Zbl 1496.65025 Sánchez-Reyes, Javier 1 2022 Construction of \(C^1\) polygonal splines over quadrilateral partitions. Zbl 07483501 Lai, Ming-Jun; Lanterman, James 1 2022 Data approximation by \(L^1\) spline fits with free knots. Zbl 07483502 Wang, Ziteng; Xie, Manfei 1 2022 Detection and computation of conservative kernels of models consisting of freeform curves and surfaces, using inequality constraints. Zbl 1489.65040 Hong, Q. Youn; Elber, Gershon 1 2022 Intrinsic mixed-integer polycubes for hexahedral meshing. Zbl 1489.65030 Mandad, Manish; Chen, Ruizhi; Bommes, David; Campen, Marcel 1 2022 New shape control tools for rational Bézier curve design. Zbl 1472.65024 Ramanantoanina, Andriamahenina; Hormann, Kai 6 2021 An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010 López-Ureña, Sergio; Viscardi, Alberto 5 2021 Parameterization for polynomial curve approximation via residual deep neural networks. Zbl 1467.65017 Scholz, Felix; Jüttler, Bert 5 2021 Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting. Zbl 1470.65019 Yuan, Guan-Jie; Liu, Hao; Su, Jian-Ping; Fu, Xiao-Ming 4 2021 Multi-sided completion of \(C^2\) bi-3 and \(C^1\) bi-2 splines: a unifying approach. Zbl 1468.65012 Karčiauskas, Kȩstutis; Peters, Jörg 4 2021 A sufficient condition for 3D typical curves. Zbl 1470.65024 Tong, Weihua; Chen, Ming 4 2021 \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines. Zbl 1472.65014 Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan 4 2021 27 variants of Tutte’s theorem for plane near-triangulations and an application to periodic spline surface fitting. Zbl 1472.65017 Groiss, Lisa; Jüttler, Bert; Mokriš, Dominik 3 2021 Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7. Zbl 1505.65071 Knez, Marjeta; Sampoli, Maria Lucia 3 2021 Planar projections of spatial Pythagorean-hodograph curves. Zbl 1480.65044 Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil 2 2021 Surfaces containing two isotropic circles through each point. Zbl 1477.14093 Morozov, Egor 2 2021 Heterogeneous parametric trivariate fillets. Zbl 1469.65052 Masalha, Ramy; Cirillo, Emiliano; Elber, Gershon 2 2021 Representing planar domains by polar parameterizations with parabolic parameter lines. Zbl 1470.65028 Trautner, Sofia; Jüttler, Bert; Kim, Myung-Soo 2 2021 Single-sized spheres on surfaces (S4). Zbl 1469.65050 Lipschütz, Henriette; Skrodzki, Martin; Reitebuch, Ulrich; Polthier, Konrad 2 2021 Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space. Zbl 1506.65045 Özçetin, B. Merih; Düldül, Mustafa 2 2021 Planar class A Bézier curves: the case of real eigenvalues. Zbl 1469.65057 Romani, Lucia; Viscardi, Alberto 2 2021 Multi-sided B-spline surfaces over curved, multi-connected domains. Zbl 1469.65045 Vaitkus, Márton; Várady, Tamás; Salvi, Péter; Sipos, Ágoston 2 2021 Morphing of spherical closed curves. Zbl 1506.65038 Ikemakhen, Aziz; Bellaihou, Mohamed; Ahanchaou, Taoufik 2 2021 Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations. Zbl 1477.65253 Ali, Zulfiqar; Ma, Weiyin 2 2021 Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models. Zbl 1480.65055 Ghadai, Sambit; Lee, Xian Yeow; Balu, Aditya; Sarkar, Soumik; Krishnamurthy, Adarsh 1 2021 Affine invariant triangulations. Zbl 1480.65063 Bose, Prosenjit; Cano, Pilar; Silveira, Rodrigo I. 1 2021 Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. Zbl 1480.65042 Alcázar, Juan Gerardo; Hermoso, Carlos 1 2021 A dynamic sampling approach towards computing Voronoi diagram of a set of circles. Zbl 1505.65133 Mukundan, Manoj Kumar; Muthuganapathy, Ramanathan 1 2021 Tegula – exploring a galaxy of two-dimensional periodic tilings. Zbl 1505.52022 Zeller, Rüdiger; Delgado-Friedrichs, Olaf; Huson, Daniel H. 1 2021 Multi-derivative physical and geometric convolutional embedding networks for skeleton-based action recognition. Zbl 1468.65021 Yan, Guoli; Hua, Michelle; Zhong, Zichun 1 2021 Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches. Zbl 1468.65016 Son, Sang-Hyun; Kim, Myung-Soo; Elber, Gershon 1 2021 Local Delaunay-based high fidelity surface reconstruction from 3D point sets. Zbl 1468.65020 Thayyil, Safeer Babu; Yadav, Sunil Kumar; Polthier, Konrad; Muthuganapathy, Ramanathan 1 2021 Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points. Zbl 1468.65019 Park, Youngjin; Hong, Q. Youn; Kim, Myung-Soo; Elber, Gershon 1 2021 SCN: dilated silhouette convolutional network for video action recognition. Zbl 1512.68393 Hua, Michelle; Gao, Mingqi; Zhong, Zichun 1 2021 Constructing quadratic birational maps via their complex rational representation. Zbl 1472.65026 Wang, Xuhui; Wu, Meng; Liu, Yuan; Ni, Qian 1 2021 Binary segmentation of medical images using implicit spline representations and deep learning. Zbl 1512.92039 Barrowclough, Oliver J. D.; Muntingh, Georg; Nainamalai, Varatharajan; Stangeby, Ivar 1 2021 Tubular parametric volume objects: thickening a piecewise smooth 3D stick figure. Zbl 1469.65054 Peltier, Samuel; Morin, Géraldine; Aholou, Damien 1 2021 Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis. Zbl 1465.14056 Pérez-Díaz, Sonia; Shen, Li-Yong 1 2021 Note on planar Pythagorean hodograph curves of Tschirnhaus type. Zbl 1469.65047 Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan 1 2021 Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets. Zbl 1469.65062 Wadekar, Paras; Amanatides, Chelsea; Kapllani, Levi; Dion, Genevieve; Kamien, Randall; Breen, David E. 1 2021 A phase-field approach to variational hierarchical surface segmentation. Zbl 1469.65060 Meny, Janos; Rumpf, Martin; Sassen, Josua 1 2021 Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames. Zbl 1469.65049 Kwon, Song-Hwa; Han, Chang Yong 1 2021 A simple and complete discrete exterior calculus on general polygonal meshes. Zbl 1469.65055 Ptáčková, Lenka; Velho, Luiz 1 2021 Multiscale persistent topological descriptor for porous structure retrieval. Zbl 1508.68384 Dong, Zhetong; Pu, Junyu; Lin, Hongwei 1 2021 Streaming Hermite interpolation using cubic splinelets. Zbl 1469.65040 Dębski, Roman 1 2021 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 16 2020 Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015 Blidia, Ahmed; Mourrain, Bernard; Xu, Gang 13 2020 Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 1505.65077 Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming 11 2020 Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 1505.65105 Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica 11 2020 Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation. Zbl 1505.65042 Albrecht, Gudrun; Beccari, Carolina Vittoria; Romani, Lucia 11 2020 An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027 Chin, Eric B.; Sukumar, N. 10 2020 ...and 1517 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,161 Authors 102 Farouki, Rida T. 95 Jüttler, Bert 77 Peña, Juan Manuel 71 Goldman, Ronald N. 61 Manni, Carla 57 Chen, Falai 55 Romani, Lucia 55 Speleers, Hendrik 53 Mazure, Marie-Laurence 50 Peters, Jorg 48 Hughes, Thomas J. R. 48 Wang, Guozhao 46 Sendra, Juan Rafael 45 Zhang, Yongjie Jessica 44 Krajnc, Marjeta 44 Pérez-Díaz, Sonia 42 Giannelli, Carlotta 41 Wang, Guojin 40 Conti, Costanza 40 Floater, Michael S. 39 Deng, Jiansong 39 Han, Xuli 39 Mustafa, Ghulam 38 Alcazar, Juan Gerardo 38 Dyn, Nira 37 Pottmann, Helmut 36 Lávička, Miroslav 35 Sederberg, Thomas W. 34 Carnicer, Jésus Miguel 34 Mourrain, Bernard 34 Zhu, Chungang 32 Žagar, Emil 31 Schumaker, Larry L. 31 Sestini, Alessandra 31 Vitrih, Vito 29 Li, Xin 28 Deng, Chongyang 27 Beccari, Carolina Vittoria 27 Hormann, Kai 27 Hu, Gang 27 Mainar, Esmeralda 27 Shen, Liyong 27 Šír, Zbyněk 27 Zhu, Yuanpeng 26 Kosinka, Jiří 26 Xu, Gang 25 Lu, Lizheng 25 Reif, Ulrich 25 Sampoli, Maria Lucia 25 Schicho, Josef 25 Xu, Guoliang 24 Ait-Haddou, Rachid 24 Casciola, Giulio 24 Delgado, Jorge F. M. 24 Lamnii, Abdellah 24 Rabczuk, Timon 24 Zidna, Ahmed 23 Ahn, Young Joon 23 Busé, Laurent 23 Kapl, Mario 23 Lyche, Tom 23 Monterde, Juan 23 Reali, Alessandro 23 Vršek, Jan 23 Wang, Wenping 22 Bajaj, Chandrajit L. 22 Bracco, Cesare 22 Buffa, Annalisa 22 Farin, Gerald E. 22 Hsu, Ming-Chen 22 Karčiauskas, Kęstutis 22 Levin, David N. 22 Meek, Dereck S. 22 Pelosi, Francesca 22 Sánchez-Reyes, Javier 22 Takacs, Thomas 22 Wang, Renhong 22 Wei, Xiaodong 21 Bizzarri, Michal 21 Kozak, Jernej 21 Ma, Weiyin 21 Sabin, Malcolm A. 21 Siddiqi, Shahid Saeed 20 Goodman, Timothy N. T. 20 Gu, Xianfeng David 20 Lai, Mingjun 20 Scott, Michael A. 20 Zheng, Hongchan 20 Zheng, Jianmin 19 Barrera, Domingo 19 Barton, Michael H. 19 Duan, Qi 19 Elber, Gershon 19 Jaklič, Gašper 19 Lavery, John E. 19 Mantzaflaris, Angelos 19 Paluszny, Marco 19 Plaza, Ángel 19 Remogna, Sara 19 Sbibih, Driss ...and 7,061 more Authors all top 5 Cited in 566 Journals 1,539 Computer Aided Geometric Design 467 Journal of Computational and Applied Mathematics 421 Computer Methods in Applied Mechanics and Engineering 221 Applied Mathematics and Computation 135 Journal of Symbolic Computation 127 Computers & Mathematics with Applications 119 Advances in Computational Mathematics 111 International Journal for Numerical Methods in Engineering 100 Numerical Algorithms 95 Journal of Computational Physics 81 Mathematics and Computers in Simulation 79 Journal of Approximation Theory 55 Applied Numerical Mathematics 52 BIT 51 International Journal of Computer Mathematics 50 Computational Mechanics 48 Mathematics of Computation 46 Constructive Approximation 46 Computational and Applied Mathematics 45 Numerische Mathematik 43 Mathematical Methods in the Applied Sciences 42 Computing 42 Applied Mathematics. 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RACSAM 8 Journal of Mathematics 8 SIAM Journal on Applied Algebra and Geometry 7 Applicable Analysis 7 Computer Physics Communications 7 Journal of Geometry and Physics 7 ACM Transactions on Mathematical Software 7 Journal of Optimization Theory and Applications 7 Algorithmica 7 International Journal of Algebra and Computation 7 Communications in Numerical Methods in Engineering ...and 466 more Journals all top 5 Cited in 60 Fields 4,507 Numerical analysis (65-XX) 1,250 Approximations and expansions (41-XX) 1,161 Computer science (68-XX) 566 Differential geometry (53-XX) 499 Mechanics of deformable solids (74-XX) 405 Algebraic geometry (14-XX) 274 Partial differential equations (35-XX) 205 Fluid mechanics (76-XX) 166 Convex and discrete geometry (52-XX) 163 Geometry (51-XX) 158 Commutative algebra (13-XX) 131 Operations research, mathematical programming (90-XX) 116 Harmonic analysis on Euclidean spaces (42-XX) 107 Linear and multilinear algebra; matrix theory (15-XX) 102 Biology and other natural sciences (92-XX) 91 Statistics (62-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 78 Information and communication theory, circuits (94-XX) 75 Combinatorics (05-XX) 68 Mechanics of particles and systems (70-XX) 64 Real functions (26-XX) 64 Global analysis, analysis on manifolds (58-XX) 58 Ordinary differential equations (34-XX) 57 Special functions (33-XX) 47 Functions of a complex variable (30-XX) 45 Field theory and polynomials (12-XX) 45 Manifolds and cell complexes (57-XX) 40 Dynamical systems and ergodic theory (37-XX) 34 Systems theory; control (93-XX) 33 Algebraic topology (55-XX) 32 Number theory (11-XX) 32 Optics, electromagnetic theory (78-XX) 29 Statistical mechanics, structure of matter (82-XX) 28 Measure and integration (28-XX) 28 Probability theory and stochastic processes (60-XX) 27 Operator theory (47-XX) 26 General and overarching topics; collections (00-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Geophysics (86-XX) 18 Integral equations (45-XX) 17 Difference and functional equations (39-XX) 16 Functional analysis (46-XX) 15 Potential theory (31-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Associative rings and algebras (16-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Quantum theory (81-XX) 11 Relativity and gravitational theory (83-XX) 10 History and biography (01-XX) 9 General topology (54-XX) 7 Integral transforms, operational calculus (44-XX) 6 Topological groups, Lie groups (22-XX) 6 Mathematics education (97-XX) 5 Sequences, series, summability (40-XX) 4 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) Citations by Year