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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: 1,977 Publications (since 1984)
References Indexed: 1,819 Publications with 41,205 References.
all top 5

Authors

62 Farouki, Rida T.
46 Goldman, Ronald N.
43 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 Várady, Tamás
10 Walton, Desmond J.
9 Ait-Haddou, Rachid
9 Costantini, Paolo Giuseppe
9 Hoschek, Josef
9 Hu, Shimin
9 Kaklis, Panagiotis D.
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 Wang, Xuhui
8 Casciola, Giulio
8 Choi, Hyeong In
8 Degen, Wendelin L. F.
8 Guo, Xiaohu
8 Hartmann, Erich
8 Monterde, Juan
8 Nowacki, Horst
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
...and 1,960 more Authors
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Fields

1,560 Numerical analysis (65-XX)
522 Computer science (68-XX)
396 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

Citations contained in zbMATH Open

1,627 Publications have been cited 17,220 times in 6,244 Documents Cited by Year
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
228
2012
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
218
1987
A survey of curve and surface methods in CAGD. Zbl 0604.65005
Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen
207
1984
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik
175
2013
Mean value coordinates. Zbl 1069.65553
Floater, Michael S.
174
2003
Blossoms are polar forms. Zbl 0705.65008
Ramshaw, Lyle
138
1989
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
125
2012
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.
113
2012
Algorithms for polynomials in Bernstein form. Zbl 0648.65007
Farouki, R. T.; Rajan, V. T.
110
1988
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
107
1987
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
99
1987
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
98
1995
C-curves: An extension of cubic curves. Zbl 0900.68405
Zhang, Jiwen
94
1996
Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162
Floater, Michael S.
91
1997
The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005
Farouki, Rida T.
89
1994
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
88
2005
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
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
80
1998
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
Dierckx, Paul
77
1997
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
74
1995
Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
74
2016
The geometry of Tchebycheffian splines. Zbl 0777.41016
Pottmann, Helmut
72
1993
Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157
Mainar, E.; Peña, J. M.; Sánchez-Reyes, J.
71
2001
Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
65
2005
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
62
2002
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
61
1985
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
61
2009
Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128
Costantini, P.
60
2000
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
59
2005
Analytic properties of plane offset curves. Zbl 0718.53003
Farouki, R. T.; Neff, C. A.
58
1990
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
Improperly parametrized rational curves. Zbl 0594.65006
Sederberg, Thomas W.
57
1986
A class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
57
2003
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
56
1999
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
55
2007
Tracing surface intersections. Zbl 0659.65012
Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H.
52
1988
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
51
1990
Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
51
1994
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
48
2002
Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
48
2015
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
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
47
1998
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
46
1999
Refinable \(C^1\) spline elements for irregular quad layout. Zbl 1418.65026
Nguyen, Thien; Peters, Jörg
46
2016
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
45
2004
The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158
Chen, F.; Zheng, J.; Sederberg, T. W.
45
2001
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
45
2001
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
45
1995
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
45
1997
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
45
2010
Applications of Laguerre geometry in CAGD. Zbl 0996.65018
Pottmann, Helmut; Peternell, Martin
44
1998
A subdivision scheme for surfaces of revolution. Zbl 0970.68177
Morin, G.; Warren, J.; Weimer, H.
44
2001
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
42
1984
Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
42
1998
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
Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145
Klok, Fopke
41
1986
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
41
2004
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
40
1991
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
40
2005
An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
40
1997
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
39
1990
4–8 Subdivision. Zbl 0969.68157
Velho, L.; Zorin, D.
39
2001
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
39
1996
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
39
1993
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
38
2008
A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155
Zorin, D.; Schröder, P.
38
2001
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
37
1991
An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 1470.65016
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
37
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
37
2016
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
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
36
2010
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
35
1988
Some properties of LR-splines. Zbl 1284.65024
Bressan, Andrea
35
2013
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
35
1988
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
35
1996
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
35
1993
Isogeometric analysis with strong multipatch \(C^{1}\)-coupling. Zbl 1505.65050
Chan, C. L.; Anitescu, C.; Rabczuk, T.
35
2018
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
34
2013
Cyclides in computer aided geometric design. Zbl 0712.65008
Pratt, M. J.
34
1990
Tracing index of rational curve parametrizations. Zbl 0983.68224
Sendra, J. R.; Winkler, F.
34
2001
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
34
2002
Polynomial generation and quasi-interpolation in stationary non-uniform subdivision. Zbl 1069.41503
Levin, A.
34
2003
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
34
2004
A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014
Monterde, J.; Ugail, H.
34
2006
Two different forms of C-B-splines. Zbl 0900.68418
Zhang, Jiwen
34
1997
Properties of \(n\)-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
33
1986
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
33
1985
Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559
Monterde, J.
33
2004
On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018
Pérez-Díaz, Sonia
33
2006
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
33
2009
A normalized basis for reduced Clough-Tocher splines. Zbl 1210.65026
Speleers, Hendrik
33
2010
Planar domain parameterization with THB-splines. Zbl 1417.65066
Falini, Antonella; Špeh, Jaka; Jüttler, Bert
33
2015
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
32
1992
Nonexistence of rational rotation-minimizing frames on cubic curves. Zbl 1172.65327
Han, Chang Yong
32
2008
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
32
1991
On harmonic and biharmonic Bézier surfaces. Zbl 1069.65526
Monterde, J.; Ugail, H.
32
2004
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
32
1986
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 the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
32
1991
Analysis-suitable adaptive T-mesh refinement with linear complexity. Zbl 1375.65035
Morgenstern, Philipp; Peterseim, Daniel
32
2015
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
2
2023
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints. Zbl 1528.65015
Farouki, Rida T.; Pelosi, Francesca; Sampoli, Maria Lucia
1
2023
Generalized plane offsets and rational parameterizations. Zbl 07695027
Rochera, David
1
2023
Sasaki metric for spline models of manifold-valued trajectories. Zbl 1522.65024
Nava-Yazdani, Esfandiar; Ambellan, Felix; Hanik, Martin; von Tycowicz, Christoph
1
2023
Blending Bézier patch for multi-sided surface modeling. Zbl 07734067
Qin, Kaikai; Li, Yajuan; Deng, Chongyang
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
7
2022
Non-uniform interpolatory subdivision schemes with improved smoothness. Zbl 1489.65028
Dyn, Nira; Hormann, Kai; Mancinelli, Claudio
4
2022
Offsets and front tire tracks to projective hedgehogs. Zbl 1504.52001
Rochera, David
4
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
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
Surface patches with rounded corners. Zbl 1497.65039
Marussig, Benjamin; Reif, Ulrich
3
2022
Exact sphere representations over Platonic solids based on rational multisided Bézier patches. Zbl 1501.65006
Grošelj, Jan; Praprotnik, Ada Šadl
3
2022
Approximation by polynomial splines on curved triangulations. Zbl 1489.65023
Schumaker, Larry L.; Yu, Annan
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
Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves. Zbl 1497.65088
Fang, Lincong; Li, Yujun
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
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
Topology of the singularities of 3-RPR planar parallel robots. Zbl 1507.14082
Spartalis, Christoforos; Capco, Jose
1
2022
The uniqueness of the rational Bézier polygon is unique. Zbl 1496.65025
Sánchez-Reyes, Javier
1
2022
D3AdvM: A direct 3D adversarial sample attack inside mesh data. Zbl 07576581
Xu, Huangxinxin; He, Fazhi; Fan, Linkun; Bai, Junwei
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
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
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
Data approximation by \(L^1\) spline fits with free knots. Zbl 07483502
Wang, Ziteng; Xie, Manfei
1
2022
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
5
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
\(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines. Zbl 1472.65014
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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
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
3
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
Parameterization for polynomial curve approximation via residual deep neural networks. Zbl 1467.65017
Scholz, Felix; Jüttler, Bert
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 B-spline surfaces over curved, multi-connected domains. Zbl 1469.65045
Vaitkus, Márton; Várady, Tamás; Salvi, Péter; Sipos, Ágoston
2
2021
A sufficient condition for 3D typical curves. Zbl 1470.65024
Tong, Weihua; Chen, Ming
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
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
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
Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames. Zbl 1469.65049
Kwon, Song-Hwa; Han, Chang Yong
1
2021
Planar class A Bézier curves: the case of real eigenvalues. Zbl 1469.65057
Romani, Lucia; Viscardi, Alberto
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
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
Surfaces containing two isotropic circles through each point. Zbl 1477.14093
Morozov, Egor
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
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
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
Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
10
2020
The distance function from a real algebraic variety. Zbl 1453.65046
Ottaviani, Giorgio; Sodomaco, Luca
9
2020
NLIGA: a MATLAB framework for nonlinear isogeometric analysis. Zbl 1505.65001
Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming
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
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
8
2020
A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants. Zbl 1472.65023
Han, Chang Yong; Moon, Hwan Pyo; Kwon, Song-Hwa
7
2020
Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 1506.65042
Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston
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
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
7
2020
Local (T)HB-spline projectors via restricted hierarchical spline fitting. Zbl 1506.65028
Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos
7
2020
Optimal parametric interpolants of circular arcs. Zbl 1505.65099
Vavpetič, Aleš
7
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
6
2020
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 1506.65209
Gantner, Gregor; Praetorius, Dirk
6
2020
Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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
5
2020
Conversion of B-rep CAD models into globally \(G^1\) triangular splines. Zbl 1505.65062
Hettinga, Gerben Jan; Kosinka, Jiří
5
2020
Rational motions with generic trajectories of low degree. Zbl 1448.70006
Siegele, J.; Scharler, D. F.; Schröcker, H.-P.
4
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
4
2020
Implicit progressive-iterative approximation for curve and surface reconstruction. Zbl 1505.65061
Hamza, Yusuf Fatihu; Lin, Hongwei; Li, Zihao
4
2020
On a progressive and iterative approximation method with memory for least square fitting. Zbl 1450.65019
Huang, Zheng-Da; Wang, Hui-Di
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
Classification of planar Pythagorean hodograph curves. Zbl 1505.65091
Šír, Zbyněk
4
2020
Dimension of polynomial splines of mixed smoothness on T-meshes. Zbl 1506.65032
Toshniwal, Deepesh; Villamizar, Nelly
4
2020
Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 1505.65080
Mainar, E.; Peña, J. M.; Rubio, B.
4
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
3
2020
...and 1527 more Documents
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Cited by 6,786 Authors

100 Farouki, Rida T.
93 Jüttler, Bert
76 Peña, Juan Manuel
70 Goldman, Ronald N.
58 Manni, Carla
54 Romani, Lucia
52 Chen, Falai
52 Mazure, Marie-Laurence
52 Speleers, Hendrik
48 Wang, Guozhao
47 Hughes, Thomas J. R.
47 Peters, Jorg
43 Krajnc, Marjeta
42 Zhang, Yongjie Jessica
41 Giannelli, Carlotta
41 Pérez-Díaz, Sonia
41 Sendra, Juan Rafael
41 Wang, Guojin
40 Conti, Costanza
40 Floater, Michael S.
39 Han, Xuli
38 Mustafa, Ghulam
37 Dyn, Nira
36 Alcazar, Juan Gerardo
36 Deng, Jiansong
36 Pottmann, Helmut
35 Sederberg, Thomas W.
34 Carnicer, Jésus Miguel
33 Lávička, Miroslav
33 Zhu, Chungang
31 Schumaker, Larry L.
31 Sestini, Alessandra
30 Li, Xin
30 Žagar, Emil
29 Mourrain, Bernard
29 Vitrih, Vito
27 Beccari, Carolina Vittoria
27 Deng, Chongyang
27 Hu, Gang
26 Mainar, Esmeralda
26 Šír, Zbyněk
26 Zhu, Yuanpeng
25 Shen, Liyong
25 Xu, Guoliang
24 Casciola, Giulio
24 Delgado, Jorge F. M.
24 Hormann, Kai
24 Lamnii, Abdellah
24 Lu, Lizheng
24 Reif, Ulrich
24 Sampoli, Maria Lucia
23 Ait-Haddou, Rachid
23 Kosinka, Jiří
23 Rabczuk, Timon
23 Reali, Alessandro
23 Schicho, Josef
23 Xu, Gang
23 Zidna, Ahmed
22 Bajaj, Chandrajit L.
22 Buffa, Annalisa
22 Farin, Gerald E.
22 Levin, David N.
22 Lyche, Tom
22 Meek, Dereck S.
22 Sánchez-Reyes, Javier
22 Wang, Renhong
22 Wang, Wenping
22 Wei, Xiaodong
21 Ahn, Young Joon
21 Bracco, Cesare
21 Busé, Laurent
21 Hsu, Ming-Chen
21 Kapl, Mario
21 Karčiauskas, Kęstutis
21 Kozak, Jernej
21 Ma, Weiyin
21 Pelosi, Francesca
21 Siddiqi, Shahid Saeed
21 Takacs, Thomas
20 Goodman, Timothy N. T.
20 Lai, Mingjun
20 Monterde, Juan
20 Sabin, Malcolm A.
20 Vršek, Jan
20 Zheng, Hongchan
20 Zheng, Jianmin
19 Bizzarri, Michal
19 Duan, Qi
19 Elber, Gershon
19 Jaklič, Gašper
19 Lavery, John E.
19 Paluszny, Marco
19 Plaza, Ángel
19 Sbibih, Driss
19 Scott, Michael A.
19 Toshniwal, Deepesh
19 Walton, Desmond J.
18 Amat Plata, Sergio
18 Barton, Michael H.
18 Han, Chang Yong
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Cited in 539 Journals

1,491 Computer Aided Geometric Design
454 Journal of Computational and Applied Mathematics
403 Computer Methods in Applied Mechanics and Engineering
219 Applied Mathematics and Computation
130 Journal of Symbolic Computation
125 Computers & Mathematics with Applications
115 Advances in Computational Mathematics
100 Numerical Algorithms
99 International Journal for Numerical Methods in Engineering
90 Journal of Computational Physics
79 Journal of Approximation Theory
79 Mathematics and Computers in Simulation
53 Applied Numerical Mathematics
51 BIT
51 International Journal of Computer Mathematics
49 Computational Mechanics
48 Mathematics of Computation
46 Constructive Approximation
45 Numerische Mathematik
42 Computing
42 Applied Mathematics. Series B (English Edition)
42 Computational and Applied Mathematics
40 Mathematical Methods in the Applied Sciences
38 Discrete & Computational Geometry
38 International Journal of Computational Geometry & Applications
38 Mathematical Problems in Engineering
36 Journal of Scientific Computing
35 Computational Geometry
35 Linear Algebra and its Applications
34 Engineering Analysis with Boundary Elements
32 Applied Mathematical Modelling
32 SIAM Journal on Scientific Computing
30 Journal of Mathematical Analysis and Applications
30 Journal of Systems Science and Complexity
30 Journal of Zhejiang University. Science A
29 International Journal of Shape Modeling
28 Journal of Mathematical Imaging and Vision
23 Theoretical Computer Science
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Mathematical and Computer Modelling
19 Journal of Geometry
19 ACM Transactions on Graphics
19 Communications in Mathematics and Statistics
18 Results in Mathematics
18 Applied Mathematics Letters
18 Applied and Computational Harmonic Analysis
18 Mathematics in Computer Science
17 Journal of Algebra
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16 Journal of Computer Science and Technology
16 Foundations of Computational Mathematics
16 SIAM Journal on Imaging Sciences
15 RAIRO. Modélisation Mathématique et Analyse Numérique
15 Advances in Applied Clifford Algebras
14 Abstract and Applied Analysis
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Advances in Difference Equations
13 International Journal of Production Research
13 Applicable Algebra in Engineering, Communication and Computing
12 Calcolo
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12 International Journal of Wavelets, Multiresolution and Information Processing
12 Mediterranean Journal of Mathematics
11 Rocky Mountain Journal of Mathematics
11 SIAM Journal on Numerical Analysis
11 Advances in Applied Mathematics
11 Computational Mathematics and Mathematical Physics
11 AIMS Mathematics
10 Discrete Applied Mathematics
10 Journal of Pure and Applied Algebra
10 Journal of Mathematical Sciences (New York)
10 Journal of Inequalities and Applications
10 Boletim da Sociedade Paranaense de Matemática. Terceira Série
9 Computers and Fluids
9 Chaos, Solitons and Fractals
9 Japan Journal of Industrial and Applied Mathematics
9 Journal of Global Optimization
9 Journal of the Egyptian Mathematical Society
8 Beiträge zur Algebra und Geometrie
8 Information Sciences
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8 International Journal of Geometric Methods in Modern Physics
8 Science in China. Series F
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 Journal of Mathematics
7 Applicable Analysis
7 Journal of Optimization Theory and Applications
7 Acta Applicandae Mathematicae
7 Algorithmica
7 International Journal of Algebra and Computation
7 Communications in Numerical Methods in Engineering
7 Filomat
7 Computing and Visualization in Science
7 European Journal of Mechanics. A. Solids
7 Engineering Computations
7 Journal of Algebra and its Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Symmetry
7 Journal of Theoretical Biology
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Cited in 59 Fields

4,336 Numerical analysis (65-XX)
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535 Differential geometry (53-XX)
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258 Partial differential equations (35-XX)
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152 Geometry (51-XX)
142 Commutative algebra (13-XX)
128 Operations research, mathematical programming (90-XX)
110 Harmonic analysis on Euclidean spaces (42-XX)
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95 Biology and other natural sciences (92-XX)
82 Statistics (62-XX)
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