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: 1,968 Publications (since 1984) References Indexed: 1,810 Publications with 40,662 References. all top 5 Latest Issues 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) 29, No. 7 (2012) 29, No. 6 (2012) 29, No. 2 (2012) 29, No. 1 (2012) 28, No. 9 (2011) 28, No. 8 (2011) 28, No. 7 (2011) ...and 180 more Volumes all top 5 Authors 62 Farouki, Rida T. 46 Goldman, Ronald N. 42 Jüttler, Bert 37 Peters, Jorg 32 Sederberg, Thomas W. 28 Pottmann, Helmut 26 Chen, Falai 25 Wang, Wenping 23 Hormann, Kai 23 Lávička, Miroslav 22 Farin, Gerald E. 22 Prautzsch, Hartmut 20 Elber, Gershon 19 Manni, Carla 19 Sánchez-Reyes, Javier 18 Deng, Chongyang 18 Kosinka, Jiří 18 Peña, Juan Manuel 17 Floater, Michael S. 17 Krajnc, Marjeta 17 Schumaker, Larry L. 17 Xu, Guoliang 16 Dyn, Nira 16 Reif, Ulrich 16 Sabin, Malcolm A. 16 Šír, Zbyněk 15 Karčiauskas, Kęstutis 15 Sestini, Alessandra 15 Speleers, Hendrik 15 Wang, Guozhao 15 Zheng, Jianmin 14 Alcazar, Juan Gerardo 14 Bajaj, Chandrajit L. 14 Böhm, Wolfgang 14 Pérez-Díaz, Sonia 14 Romani, Lucia 13 Giannelli, Carlotta 13 Kim, Myung-Soo 13 Sampoli, Maria Lucia 13 Vršek, Jan 12 Beccari, Carolina Vittoria 12 Bizzarri, Michal 12 Carnicer, Jésus Miguel 12 Deng, Jiansong 12 Dodgson, Neil A. 12 Hamann, Bernd 12 Han, Chang Yong 12 Kwon, Song-Hwa 12 Ma, Weiyin 12 Meek, Dereck S. 12 Žagar, Emil 11 Goodman, Timothy N. T. 11 Jia, Xiaohong 11 Mourrain, Bernard 11 Qin, Hong 11 Wang, Guojin 10 Barnhill, Robert E. 10 Barton, Michael H. 10 Gregory, John A. 10 Hagen, Hans-Juergen 10 Hermann, Thomas 10 Lai, Mingjun 10 Lyche, Tom 10 Peternell, Martin 10 Shen, Liyong 10 Tu, Changhe 10 Walton, Desmond J. 9 Ait-Haddou, Rachid 9 Costantini, Paolo Giuseppe 9 Hoschek, Josef 9 Hu, Shimin 9 Lavery, John E. 9 Lee, E. T. Y. 9 Liu, Ligang 9 Maekawa, Takashi 9 Manocha, Dinesh 9 Mazure, Marie-Laurence 9 Polthier, Konrad 9 Seidel, Hans-Peter 9 Sendra, Juan Rafael 9 Várady, Tamás 9 Wang, Xuhui 8 Casciola, Giulio 8 Choi, Hyeong In 8 Degen, Wendelin L. F. 8 Guo, Xiaohu 8 Hartmann, Erich 8 Kaklis, Panagiotis D. 8 Monterde, Juan 8 Patrikalakis, Nicholas M. 8 Sapidis, Nickolas S. 8 Schicho, Josef 8 Wallner, Johannes 8 Worsey, Andrew J. 8 Zhang, Renjiang 7 Albrecht, Gudrun 7 Alfeld, Peter 7 Bastl, Bohumír 7 Conti, Costanza 7 Díaz-Toca, Gema María ...and 1,943 more Authors all top 5 Fields 1,551 Numerical analysis (65-XX) 522 Computer science (68-XX) 395 Approximations and expansions (41-XX) 133 Differential geometry (53-XX) 71 Algebraic geometry (14-XX) 63 Geometry (51-XX) 25 General and overarching topics; collections (00-XX) 21 Convex and discrete geometry (52-XX) 21 Mechanics of particles and systems (70-XX) 21 Mechanics of deformable solids (74-XX) 19 Information and communication theory, circuits (94-XX) 17 Commutative algebra (13-XX) 13 Biology and other natural sciences (92-XX) 12 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) 5 Global analysis, analysis on manifolds (58-XX) 4 Functions of a complex variable (30-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 Several complex variables and analytic spaces (32-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-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 1,590 Publications have been cited 16,443 times in 6,001 Documents Cited by ▼ Year ▼ A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009 Dyn, Nira; Levin, David; Gregory, John A. 214 1987 THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030 Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 213 2012 A survey of curve and surface methods in CAGD. Zbl 0604.65005 Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen 186 1984 Polynomial splines over locally refined box-partitions. Zbl 1264.41011 Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik 162 2013 Mean value coordinates. Zbl 1069.65553 Floater, Michael S. 161 2003 Blossoms are polar forms. Zbl 0705.65008 Ramshaw, Lyle 132 1989 The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039 Farouki, Rida T. 112 2012 Algorithms for polynomials in Bernstein form. Zbl 0648.65007 Farouki, R. T.; Rajan, V. T. 108 1988 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. 107 2012 On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012 Farouki, R. T.; Rajan, V. T. 103 1987 High accuracy geometric Hermite interpolation. Zbl 0646.65004 de Boor, Carl; Höllig, Klaus; Sabin, Malcolm 98 1987 Rational curves and surfaces with rational offsets. Zbl 0872.65011 Pottmann, Helmut 95 1995 C-curves: An extension of cubic curves. Zbl 0900.68405 Zhang, Jiwen 90 1996 Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162 Floater, Michael S. 87 1997 The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005 Farouki, Rida T. 86 1994 Curvature formulas for implicit curves and surfaces. Zbl 1084.53004 Goldman, Ron 84 2005 The moving line ideal basis of planar rational curves. Zbl 0908.68174 Cox, David A.; Sederberg, Thomas W.; Chen, Falai 80 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. 80 2002 On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152 Dierckx, Paul 74 1997 A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007 Reif, Ulrich 71 1995 The geometry of Tchebycheffian splines. Zbl 0777.41016 Pottmann, Helmut 71 1993 Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017 Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas 69 2016 Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157 Mainar, E.; Peña, J. M.; Sánchez-Reyes, J. 66 2001 Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105 Gonzalez-Vega, Laureano; Necula, Ioana 61 2002 Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094 Martin, T.; Cohen, E.; Kirby, R. M. 60 2009 Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023 Wallner, Johannes; Dyn, Nira 60 2005 Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001 Barnhill, R. E. 60 1985 Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128 Costantini, P. 58 2000 An algebraic approach to curves and surfaces on the sphere and on other quadrics. Zbl 0781.65009 Dietz, Roland; Hoschek, Josef; Jüttler, Bert 58 1993 Analytic properties of plane offset curves. Zbl 0718.53003 Farouki, R. T.; Neff, C. A. 57 1990 Mean value coordinates in 3D. Zbl 1080.52010 Floater, Michael S.; Kós, Géza; Reimers, Martin 55 2005 Improperly parametrized rational curves. Zbl 0594.65006 Sederberg, Thomas W. 55 1986 A class of Bézier-like curves. Zbl 1069.65514 Chen, Qinyu; Wang, Guozhao 54 2003 A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325 Beccari, C.; Casciola, G.; Romani, L. 54 2007 Discrete Coons patches. Zbl 0997.65033 Farin, Gerald; Hansford, Dianne 54 1999 Tracing surface intersections. Zbl 0659.65012 Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H. 51 1988 Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018 Carnicer, J. M.; Peña, J. M. 51 1994 Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011 Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut 51 1990 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 Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Zbl 1172.65307 Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra 46 2008 The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158 Chen, F.; Zheng, J.; Sederberg, T. W. 45 2001 Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026 Groisser, David; Peters, Jörg 45 2015 Minkowski Pythagorean hodographs. Zbl 0997.65023 Moon, Hwan Pyo 45 1999 An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007 Delfinado, Cecil Jose A.; Edelsbrunner, Herbert 44 1995 Applications of Laguerre geometry in CAGD. Zbl 0996.65018 Pottmann, Helmut; Peternell, Martin 44 1998 A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027 Speleers, Hendrik 43 2010 A subdivision scheme for surfaces of revolution. Zbl 0970.68177 Morin, G.; Warren, J.; Weimer, H. 43 2001 Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500 Xu, Guoliang 42 2004 Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186 Moon, H. P.; Farouki, R. T.; Choi, H. I. 42 2001 Refinable \(C^1\) spline elements for irregular quad layout. Zbl 1418.65026 Nguyen, Thien; Peters, Jörg 42 2016 A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003 Alfeld, Peter 41 1984 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 Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500 Han, Xuli 40 2004 Approximation of circular arcs by cubic polynomials. Zbl 0756.41009 Goldapp, Michael 40 1991 An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153 Floater, Michael S. 39 1997 Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152 Sánchez-Reyes, Javier 39 1998 Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017 Cazals, F.; Pouget, M. 39 2005 Algebraic properties of plane offset curves. Zbl 0724.65008 Farouki, R. T.; Neff, C. A. 39 1990 Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417 Penã, J. M. 39 1997 Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145 Klok, Fopke 38 1986 4–8 Subdivision. Zbl 0969.68157 Velho, L.; Zorin, D. 38 2001 The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861 Farouki, Rida T. 38 1996 Degree reduction of Bézier curves. Zbl 0786.65016 Eck, Matthias 38 1993 A family of subdivision schemes with cubic precision. Zbl 1172.65308 Hormann, Kai; Sabin, Malcolm A. 37 2008 A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155 Zorin, D.; Schröder, P. 36 2001 An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 1470.65016 Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas 36 2019 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 36 2016 Chebyshev economization for parametric surfaces. Zbl 0709.65012 Lachance, Michael A. 35 1988 Shape preserving properties of the generalised Ball basis. Zbl 0729.65006 Goodman, T. N. T.; Said, H. B. 35 1991 Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035 Sherbrooke, Evan C.; Patrikalakis, Nicholas M. 35 1993 Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon. Zbl 0997.65016 Nairn, D.; Peters, J.; Lutterkort, D. 35 1999 Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019 Abhyankar, Shreeram S.; Bajaj, Chanderjit L. 34 1988 Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049 Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia 34 2010 Tracing index of rational curve parametrizations. Zbl 0983.68224 Sendra, J. R.; Winkler, F. 34 2001 A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014 Monterde, J.; Ugail, H. 34 2006 Cyclides in computer aided geometric design. Zbl 0712.65008 Pratt, M. J. 34 1990 Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187 Han, Xuli 34 2002 Isogeometric analysis with strong multipatch \(C^{1}\)-coupling. Zbl 1505.65050 Chan, C. L.; Anitescu, C.; Rabczuk, T. 34 2018 Polynomial generation and quasi-interpolation in stationary non-uniform subdivision. Zbl 1069.41503 Levin, A. 33 2003 Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559 Monterde, J. 33 2004 Two different forms of C-B-splines. Zbl 0900.68418 Zhang, Jiwen 33 1997 Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863 Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L. 33 1996 Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038 Speleers, Hendrik 33 2013 Nuat B-spline curves. Zbl 1069.41510 Wang, Guozhao; Chen, Qinyu; Zhou, Minghua 32 2004 A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546 Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R. 32 2004 On harmonic and biharmonic Bézier surfaces. Zbl 1069.65526 Monterde, J.; Ugail, H. 32 2004 On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018 Pérez-Díaz, Sonia 32 2006 On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018 Farouki, R. T. 32 1991 Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120 Joe, Barry 32 1991 Properties of \(n\)-dimensional triangulations. Zbl 0624.65018 Lawson, Charles L. 32 1986 Some properties of LR-splines. Zbl 1284.65024 Bressan, Andrea 32 2013 Curvature continuous curves and surfaces. Zbl 0645.53002 Boehm, Wolfgang 31 1985 Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110 Woźny, Paweł; Lewanowicz, Stanisław 31 2009 Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Zbl 1069.65551 Farouki, Rida T.; Han, Chang Yong 31 2003 Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves. Zbl 0571.65114 Goldman, R. N.; Sederberg, T. W.; Anderson, D. C. 31 1984 The approximation of non-degenerate offset surfaces. Zbl 0621.65003 Farouki, R. T. 31 1986 Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations. Zbl 1366.65106 Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas 31 2017 Planar domain parameterization with THB-splines. Zbl 1417.65066 Falini, Antonella; Špeh, Jaka; Jüttler, Bert 31 2015 Surface algorithms using bounds on derivatives. Zbl 0632.65013 Filip, Daniel; Magedson, Robert; Markot, Robert 30 1986 Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints. Zbl 1528.65015 Farouki, Rida T.; Pelosi, Francesca; Sampoli, Maria Lucia 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 6 2022 Non-uniform interpolatory subdivision schemes with improved smoothness. Zbl 1489.65028 Dyn, Nira; Hormann, Kai; Mancinelli, Claudio 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 Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths. Zbl 07559524 Cigler, Grega; Žagar, Emil 3 2022 Constructing planar domain parameterization with HB-splines via quasi-conformal mapping. Zbl 1497.65051 Pan, Maodong; Chen, Falai 3 2022 Offsets and front tire tracks to projective hedgehogs. Zbl 1504.52001 Rochera, David 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 2 2022 Characteristic parameterizations of surfaces with a constant ratio of principal curvatures. Zbl 1489.65045 Wang, Hui; Pottmann, Helmut 2 2022 \(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces. Zbl 1527.65017 Marsala, Michelangelo; Mantzaflaris, Angelos; Mourrain, Bernard 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 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 Exact sphere representations over Platonic solids based on rational multisided Bézier patches. Zbl 1501.65006 Grošelj, Jan; Praprotnik, Ada Šadl 2 2022 Approximation by polynomial splines on curved triangulations. Zbl 1489.65023 Schumaker, Larry L.; Yu, Annan 2 2022 Geometric approximation of the sphere by triangular polynomial spline patches. Zbl 1489.65024 Vavpetič, Aleš; Žagar, Emil 2 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 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 1 2022 Multi-stable design of triangulated origami structures on cones of revolution. Zbl 1493.65042 Nawratil, Georg 1 2022 A unified algebraic framework for fast and precise planar swept volumes and Minkowski sums. Zbl 1496.65030 Machchhar, Jinesh 1 2022 The uniqueness of the rational Bézier polygon is unique. Zbl 1496.65025 Sánchez-Reyes, Javier 1 2022 Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves. Zbl 1497.65088 Fang, Lincong; Li, Yujun 1 2022 D3AdvM: A direct 3D adversarial sample attack inside mesh data. Zbl 07576581 Xu, Huangxinxin; He, Fazhi; Fan, Linkun; Bai, Junwei 1 2022 Surface patches with rounded corners. Zbl 1497.65039 Marussig, Benjamin; Reif, Ulrich 1 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 1 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 1 2022 Construction of \(C^1\) polygonal splines over quadrilateral partitions. Zbl 07483501 Lai, Ming-Jun; Lanterman, James 1 2022 An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010 López-Ureña, Sergio; Viscardi, Alberto 4 2021 New shape control tools for rational Bézier curve design. Zbl 1472.65024 Ramanantoanina, Andriamahenina; Hormann, Kai 4 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 3 2021 \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines. Zbl 1472.65014 Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan 3 2021 Planar projections of spatial Pythagorean-hodograph curves. Zbl 1480.65044 Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil 2 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 2 2021 Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7. Zbl 1505.65071 Knez, Marjeta; Sampoli, Maria Lucia 2 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-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 Heterogeneous parametric trivariate fillets. Zbl 1469.65052 Masalha, Ramy; Cirillo, Emiliano; Elber, Gershon 1 2021 Representing planar domains by polar parameterizations with parabolic parameter lines. Zbl 1470.65028 Trautner, Sofia; Jüttler, Bert; Kim, Myung-Soo 1 2021 Single-sized spheres on surfaces (S4). Zbl 1469.65050 Lipschütz, Henriette; Skrodzki, Martin; Reitebuch, Ulrich; Polthier, Konrad 1 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 1 2021 Parameterization for polynomial curve approximation via residual deep neural networks. Zbl 1467.65017 Scholz, Felix; Jüttler, Bert 1 2021 Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space. Zbl 1506.65045 Özçetin, B. Merih; Düldül, Mustafa 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 A sufficient condition for 3D typical curves. Zbl 1470.65024 Tong, Weihua; Chen, Ming 1 2021 Morphing of spherical closed curves. Zbl 1506.65038 Ikemakhen, Aziz; Bellaihou, Mohamed; Ahanchaou, Taoufik 1 2021 Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations. Zbl 1477.65253 Ali, Zulfiqar; Ma, Weiyin 1 2021 A simple and complete discrete exterior calculus on general polygonal meshes. Zbl 1469.65055 Ptáčková, Lenka; Velho, Luiz 1 2021 Streaming Hermite interpolation using cubic splinelets. Zbl 1469.65040 Dębski, Roman 1 2021 Multi-sided B-spline surfaces over curved, multi-connected domains. Zbl 1469.65045 Vaitkus, Márton; Várady, Tamás; Salvi, Péter; Sipos, Ágoston 1 2021 Note on planar Pythagorean hodograph curves of Tschirnhaus type. Zbl 1469.65047 Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan 1 2021 A phase-field approach to variational hierarchical surface segmentation. Zbl 1469.65060 Meny, Janos; Rumpf, Martin; Sassen, Josua 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 10 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 10 2020 The distance function from a real algebraic variety. Zbl 1453.65046 Ottaviani, Giorgio; Sodomaco, Luca 9 2020 Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation. Zbl 1505.65042 Albrecht, Gudrun; Beccari, Carolina Vittoria; Romani, Lucia 9 2020 Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 1505.65077 Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming 8 2020 An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027 Chin, Eric B.; Sukumar, N. 7 2020 Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes. Zbl 1505.65034 Patrizi, Francesco; Dokken, Tor 7 2020 Local (T)HB-spline projectors via restricted hierarchical spline fitting. Zbl 1506.65028 Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos 7 2020 NLIGA: a MATLAB framework for nonlinear isogeometric analysis. Zbl 1505.65001 Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming 7 2020 Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 1505.74175 Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain 7 2020 Optimal parametric interpolants of circular arcs. Zbl 1505.65099 Vavpetič, Aleš 7 2020 A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants. Zbl 1472.65023 Han, Chang Yong; Moon, Hwan Pyo; Kwon, Song-Hwa 6 2020 Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 1506.65042 Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston 6 2020 Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves. Zbl 1450.65006 Farouki, Rida T.; Hormann, Kai; Nudo, Federico 5 2020 Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 1506.65209 Gantner, Gregor; Praetorius, Dirk 5 2020 Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097 Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan 5 2020 Conversion of B-rep CAD models into globally \(G^1\) triangular splines. Zbl 1505.65062 Hettinga, Gerben Jan; Kosinka, Jiří 5 2020 Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches. Zbl 1505.65115 Zhu, Xuefeng; Ji, Ye; Zhu, Chungang; Hu, Ping; Ma, Zheng-Dong 4 2020 Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons. Zbl 1505.65084 Moon, Hwan Pyo; Kim, Soo Hyun; Kwon, Song-Hwa 4 2020 Dimension of polynomial splines of mixed smoothness on T-meshes. Zbl 1506.65032 Toshniwal, Deepesh; Villamizar, Nelly 4 2020 On a progressive and iterative approximation method with memory for least square fitting. Zbl 1450.65019 Huang, Zheng-Da; Wang, Hui-Di 3 2020 Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 1505.65080 Mainar, E.; Peña, J. M.; Rubio, B. 3 2020 Rational motions with generic trajectories of low degree. Zbl 1448.70006 Siegele, J.; Scharler, D. F.; Schröcker, H.-P. 3 2020 On the application of polygonal finite element method for Stokes flow – a comparison between equal order and different order approximation. Zbl 1505.65295 Natarajan, Sundararajan 3 2020 Mapping rational rotation-minimizing frames from polynomial curves on to rational curves. Zbl 1505.65056 Farouki, Rida T.; Šír, Zbyněk 3 2020 Classification of planar Pythagorean hodograph curves. Zbl 1505.65091 Šír, Zbyněk 3 2020 Construction of Minkowski Pythagorean hodograph B-spline curves. Zbl 1505.65046 Bizzarri, Michal; Lávička, Miroslav 3 2020 Low degree splines for locally quad-dominant meshes. Zbl 1460.65013 Karčiauskas, Kȩstutis; Peters, Jörg 3 2020 Shape analysis of planar PH curves with the Gauss-Legendre control polygons. Zbl 1450.65020 Pyo Moon, Hwan; Kim, Soo Hyun; Kwon, Song-Hwa 2 2020 Extending ball B-spline by B-spline. Zbl 1450.65008 Liu, Xinyue; Wang, Xingce; Wu, Zhongke; Zhang, Dan; Liu, Xiangyuan 2 2020 Smooth polar caps for locally quad-dominant meshes. Zbl 1505.65066 Karčiauskas, Kȩstutis; Peters, Jörg 2 2020 An \(h\)-adaptive meshfree-enriched finite element method based on convex approximations for the three-dimensional ductile crack propagation simulation. Zbl 1440.65153 Ren, Bo; Wu, C. T.; Lyu, Dandan 2 2020 Construction of periodic adapted orthonormal frames on closed space curves. Zbl 1453.65036 Farouki, Rida T.; Kim, Soo Hyun; Moon, Hwan Pyo 2 2020 Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation. Zbl 1470.74061 Bishop, Joseph E.; Sukumar, N. 2 2020 Computing the topology of a plane or space hyperelliptic curve. Zbl 1442.14182 Alcázar, Juan Gerardo; Caravantes, Jorge; Diaz-Toca, Gema M.; Tsigaridas, Elias 2 2020 Argyris type quasi-interpolation of optimal approximation order. Zbl 1505.65025 Grošelj, Jan 2 2020 Iterative coordinates. Zbl 1505.65120 Deng, Chongyang; Chang, Qingjun; Hormann, Kai 2 2020 Four-bar linkages, elliptic functions, and flexible polyhedra. Zbl 1505.05114 Izmestiev, Ivan 2 2020 Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 1505.65123 Hormann, Kai; Zheng, Jianmin 2 2020 An optimized yarn-level geometric model for finite element analysis of weft-knitted fabrics. Zbl 1505.65142 Wadekar, Paras; Perumal, Vignesh; Dion, Genevieve; Kontsos, Antonios; Breen, David 2 2020 Characterizing envelopes of moving rotational cones and applications in CNC machining. Zbl 1467.65015 Skopenkov, Mikhail; Bo, Pengbo; Bartoň, Michael; Pottmann, Helmut 2 2020 Inflection points on 3D curves. Zbl 1451.65016 Gabrielides, Nikolaos C.; Sapidis, Nickolas S. 1 2020 A few conjectures on a four-point interpolatory subdivision scheme. Zbl 1450.65007 Zhang, Ren-Jiang 1 2020 A trivariate T-spline based framework for modeling heterogeneous solids. Zbl 1505.65075 Li, Bin; Fu, Jianzhong; Zhang, Yongjie Jessica; Pawar, Aishwarya 1 2020 Recognizing algebraic affine rotation surfaces. Zbl 1505.65043 Alcázar, Juan G.; Goldman, Ron 1 2020 ...and 1490 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,507 Authors 100 Farouki, Rida T. 91 Jüttler, Bert 72 Peña, Juan Manuel 67 Goldman, Ronald N. 57 Manni, Carla 52 Chen, Falai 51 Mazure, Marie-Laurence 51 Speleers, Hendrik 50 Romani, Lucia 48 Wang, Guozhao 46 Hughes, Thomas J. R. 46 Peters, Jorg 41 Krajnc, Marjeta 41 Wang, Guojin 41 Zhang, Yongjie Jessica 40 Pérez-Díaz, Sonia 39 Sendra, Juan Rafael 38 Conti, Costanza 38 Floater, Michael S. 38 Giannelli, Carlotta 38 Han, Xuli 38 Mustafa, Ghulam 36 Alcazar, Juan Gerardo 36 Deng, Jiansong 36 Pottmann, Helmut 34 Carnicer, Jésus Miguel 34 Dyn, Nira 33 Lávička, Miroslav 33 Sederberg, Thomas W. 32 Zhu, Chungang 31 Schumaker, Larry L. 30 Sestini, Alessandra 30 Žagar, Emil 28 Li, Xin 28 Mourrain, Bernard 26 Šír, Zbyněk 26 Vitrih, Vito 25 Beccari, Carolina Vittoria 25 Hu, Gang 25 Shen, Liyong 25 Xu, Guoliang 25 Zhu, Yuanpeng 24 Casciola, Giulio 24 Delgado, Jorge F. M. 24 Deng, Chongyang 24 Lu, Lizheng 23 Sampoli, Maria Lucia 23 Schicho, Josef 22 Ait-Haddou, Rachid 22 Bajaj, Chandrajit L. 22 Farin, Gerald E. 22 Kosinka, Jiří 22 Levin, David N. 22 Mainar, Esmeralda 22 Meek, Dereck S. 22 Rabczuk, Timon 22 Reali, Alessandro 22 Reif, Ulrich 22 Sánchez-Reyes, Javier 22 Wang, Renhong 22 Xu, Gang 21 Ahn, Young Joon 21 Buffa, Annalisa 21 Karčiauskas, Kęstutis 21 Lamnii, Abdellah 21 Ma, Weiyin 21 Pelosi, Francesca 21 Siddiqi, Shahid Saeed 21 Wang, Wenping 21 Wei, Xiaodong 20 Bracco, Cesare 20 Hsu, Ming-Chen 20 Kapl, Mario 20 Lai, Mingjun 20 Lyche, Tom 20 Vršek, Jan 20 Zidna, Ahmed 19 Bizzarri, Michal 19 Busé, Laurent 19 Duan, Qi 19 Goodman, Timothy N. T. 19 Jaklič, Gašper 19 Kozak, Jernej 19 Lavery, John E. 19 Monterde, Juan 19 Paluszny, Marco 19 Sabin, Malcolm A. 19 Sbibih, Driss 19 Scott, Michael A. 19 Takacs, Thomas 19 Toshniwal, Deepesh 19 Walton, Desmond J. 19 Zheng, Hongchan 19 Zheng, Jianmin 18 Amat Plata, Sergio 18 Han, Chang Yong 18 Remogna, Sara 17 Costantini, Paolo Giuseppe 17 Elber, Gershon 17 Hussain, Malik Zawwar ...and 6,407 more Authors all top 5 Cited in 526 Journals 1,433 Computer Aided Geometric Design 451 Journal of Computational and Applied Mathematics 391 Computer Methods in Applied Mechanics and Engineering 216 Applied Mathematics and Computation 128 Journal of Symbolic Computation 119 Computers & Mathematics with Applications 115 Advances in Computational Mathematics 100 Numerical Algorithms 89 Journal of Computational Physics 78 Journal of Approximation Theory 68 International Journal for Numerical Methods in Engineering 59 Mathematics and Computers in Simulation 53 Applied Numerical Mathematics 51 BIT 51 International Journal of Computer Mathematics 48 Mathematics of Computation 47 Computational Mechanics 46 Constructive Approximation 44 Numerische Mathematik 42 Computing 42 Applied Mathematics. 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RACSAM 7 Symmetry 7 Journal of Theoretical Biology ...and 426 more Journals all top 5 Cited in 60 Fields 4,165 Numerical analysis (65-XX) 1,184 Approximations and expansions (41-XX) 1,076 Computer science (68-XX) 507 Differential geometry (53-XX) 421 Mechanics of deformable solids (74-XX) 361 Algebraic geometry (14-XX) 248 Partial differential equations (35-XX) 186 Fluid mechanics (76-XX) 150 Convex and discrete geometry (52-XX) 147 Geometry (51-XX) 139 Commutative algebra (13-XX) 126 Operations research, mathematical programming (90-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 94 Linear and multilinear algebra; matrix theory (15-XX) 94 Biology and other natural sciences (92-XX) 76 Information and communication theory, circuits (94-XX) 75 Statistics (62-XX) 73 Calculus of variations and optimal control; optimization (49-XX) 62 Combinatorics (05-XX) 59 Global analysis, analysis on manifolds (58-XX) 59 Mechanics of particles and systems (70-XX) 58 Real functions (26-XX) 55 Special functions (33-XX) 50 Ordinary differential equations (34-XX) 43 Functions of a complex variable (30-XX) 40 Manifolds and cell complexes (57-XX) 38 Dynamical systems and ergodic theory (37-XX) 37 Field theory and polynomials (12-XX) 32 Systems theory; control (93-XX) 29 Algebraic topology (55-XX) 28 Number theory (11-XX) 26 Optics, electromagnetic theory (78-XX) 25 Geophysics (86-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 General and overarching topics; collections (00-XX) 23 Measure and integration (28-XX) 23 Probability theory and stochastic processes (60-XX) 22 Operator theory (47-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Functional analysis (46-XX) 16 Difference and functional equations (39-XX) 16 Integral equations (45-XX) 14 Potential theory (31-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Associative rings and algebras (16-XX) 11 Relativity and gravitational theory (83-XX) 10 History and biography (01-XX) 10 General topology (54-XX) 10 Quantum theory (81-XX) 6 Mathematics education (97-XX) 5 Topological groups, Lie groups (22-XX) 5 Sequences, series, summability (40-XX) 5 Integral transforms, operational calculus (44-XX) 3 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 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) Citations by Year