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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: Indexed cover-to-cover
Documents Indexed: 1,913 Publications (since 1984)
References Indexed: 1,755 Publications with 38,777 References.
all top 5

Authors

60 Farouki, Rida T.
44 Goldman, Ronald N.
39 Jüttler, Bert
37 Peters, Jorg
32 Sederberg, Thomas W.
28 Pottmann, Helmut
25 Wang, Wenping
24 Chen, Falai
22 Farin, Gerald E.
22 Prautzsch, Hartmut
20 Hormann, Kai
20 Lávička, Miroslav
19 Elber, Gershon
19 Manni, Carla
18 Kosinka, Jiří
18 Sánchez-Reyes, Javier
17 Deng, Chongyang
17 Floater, Michael S.
17 Krajnc, Marjeta
17 Peña, Juan Manuel
17 Schumaker, Larry L.
16 Dyn, Nira
16 Reif, Ulrich
16 Sabin, Malcolm A.
15 Karčiauskas, Kęstutis
15 Pyo Moon, Hwan
15 Sestini, Alessandra
15 Wang, Guozhao
15 Xu, Guoliang
15 Zheng, Jianmin
14 Böhm, Wolfgang
14 Šír, Zbyněk
14 Speleers, Hendrik
13 Giannelli, Carlotta
13 Romani, Lucia
12 Alcazar, Juan Gerardo
12 Beccari, Carolina Vittoria
12 Carnicer, Jésus Miguel
12 Deng, Jiansong
12 Dodgson, Neil A.
12 Hamann, Bernd
12 Han, Chang Yong
12 Kim, Myung-Soo
12 Kwon, Song-Hwa
12 Ma, Weiyin
12 Meek, Dereck S.
12 Pérez-Díaz, Sonia
12 Sampoli, Maria Lucia
12 Žagar, Emil
11 Goodman, Timothy N. T.
11 Qin, Hong
11 Vršek, Jan
11 Wang, Guojin
10 Bajaj, Chandrajit L.
10 Barnhill, Robert E.
10 Bizzarri, Michal
10 Gregory, John A.
10 Hagen, Hans-Juergen
10 Hermann, Thomas
10 Jia, Xiaohong
10 Lai, Mingjun
10 Lyche, Tom
10 Mourrain, Bernard
10 Peternell, Martin
10 Tu, Changhe
10 Walton, Desmond J.
9 Ait-Haddou, Rachid
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 Shen, Liyong
9 Várady, Tamás
9 Wang, Xuhui
8 Barton, Michael H.
8 Casciola, Giulio
8 Choi, Hyeong In
8 Costantini, Paolo Giuseppe
8 Degen, Wendelin L. F.
8 Guo, Xiaohu
8 Hartmann, Erich
8 Kaklis, Panagiotis D.
8 Monterde, Juan
8 Nowacki, Horst
8 Patrikalakis, Nicholas M.
8 Sapidis, Nickolas S.
8 Wallner, Johannes
8 Worsey, Andrew J.
8 Zhang, Renjiang
7 Albrecht, Gudrun
7 Alfeld, Peter
7 Bastl, Bohumír
7 Conti, Costanza
...and 1,840 more Authors
all top 5

Fields

1,512 Numerical analysis (65-XX)
465 Computer science (68-XX)
366 Approximations and expansions (41-XX)
125 Differential geometry (53-XX)
63 Algebraic geometry (14-XX)
61 Geometry (51-XX)
25 General and overarching topics; collections (00-XX)
19 Mechanics of particles and systems (70-XX)
17 Commutative algebra (13-XX)
17 Convex and discrete geometry (52-XX)
12 History and biography (01-XX)
9 Combinatorics (05-XX)
9 Biology and other natural sciences (92-XX)
8 Partial differential equations (35-XX)
8 Information and communication theory, circuits (94-XX)
7 Special functions (33-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Operations research, mathematical programming (90-XX)
5 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 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)
2 Algebraic topology (55-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Probability theory and stochastic processes (60-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,506 Publications have been cited 14,723 times in 5,411 Documents Cited by Year
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
206
1987
A survey of curve and surface methods in CAGD. Zbl 0604.65005
Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen
181
1984
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
171
2012
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik
141
2013
Mean value coordinates. Zbl 1069.65553
Floater, Michael S.
136
2003
Blossoms are polar forms. Zbl 0705.65008
Ramshaw, Lyle
127
1989
Algorithms for polynomials in Bernstein form. Zbl 0648.65007
Farouki, R. T.; Rajan, V. T.
99
1988
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
97
1987
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.
92
2012
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
92
1987
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
91
2012
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
87
1995
C-curves: An extension of cubic curves. Zbl 0900.68405
Zhang, Jiwen
86
1996
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.
79
2002
The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005
Farouki, Rida T.
78
1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
78
1998
Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162
Floater, Michael S.
72
1997
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
71
2005
The geometry of Tchebycheffian splines. Zbl 0777.41016
Pottmann, Helmut
70
1993
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
65
1995
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
Dierckx, Paul
64
1997
Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157
Mainar, E.; Peña, J. M.; Sánchez-Reyes, J.
63
2001
Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128
Costantini, P.
58
2000
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
56
2002
Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
55
2005
Improperly parametrized rational curves. Zbl 0594.65006
Sederberg, Thomas W.
54
1986
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
53
1985
Analytic properties of plane offset curves. Zbl 0718.53003
Farouki, R. T.; Neff, C. A.
53
1990
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
53
2009
An algebraic approach to curves and surfaces on the sphere and on other quadrics. Zbl 0781.65009
Dietz, Roland; Hoschek, Josef; Jüttler, Bert
52
1993
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
51
2007
Tracing surface intersections. Zbl 0659.65012
Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H.
51
1988
A class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
51
2003
Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
48
1994
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
47
2005
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
47
1990
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
46
1999
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
45
1998
Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
44
2016
The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158
Chen, F.; Zheng, J.; Sederberg, T. W.
43
2001
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
43
2002
A subdivision scheme for surfaces of revolution. Zbl 0970.68177
Morin, G.; Warren, J.; Weimer, H.
42
2001
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Zbl 1172.65307
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
41
2008
An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control. Zbl 1171.65326
Beccari, C.; Casciola, G.; Romani, L.
40
2007
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
40
1999
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
39
1995
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
38
1996
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
38
1997
Applications of Laguerre geometry in CAGD. Zbl 0996.65018
Pottmann, Helmut; Peternell, Martin
38
1998
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
38
2001
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
38
2004
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
37
1991
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
37
1993
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
37
1990
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
37
2010
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
36
1984
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
36
2008
Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145
Klok, Fopke
35
1986
4–8 Subdivision. Zbl 0969.68157
Velho, L.; Zorin, D.
35
2001
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
35
1988
Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
34
2015
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
34
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.
34
1999
Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
34
1998
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
34
2004
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
34
1991
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
33
2002
Cyclides in computer aided geometric design. Zbl 0712.65008
Pratt, M. J.
33
1990
Two different forms of C-B-splines. Zbl 0900.68418
Zhang, Jiwen
32
1997
An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
32
1997
Tracing index of rational curve parametrizations. Zbl 0983.68224
Sendra, J. R.; Winkler, F.
32
2001
A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155
Zorin, D.; Schröder, P.
32
2001
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
32
2004
Properties of \(n\)-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
32
1986
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
32
2010
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
31
1985
Polynomial generation and quasi-interpolation in stationary non-uniform subdivision. Zbl 1069.41503
Levin, A.
31
2003
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Zbl 1069.65551
Farouki, Rida T.; Han, Chang Yong
31
2003
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
31
2005
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
30
1986
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.
30
1984
Nonexistence of rational rotation-minimizing frames on cubic curves. Zbl 1172.65327
Han, Chang Yong
30
2008
Surface algorithms using bounds on derivatives. Zbl 0632.65013
Filip, Daniel; Magedson, Robert; Markot, Robert
30
1986
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
30
1992
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
30
1993
Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559
Monterde, J.
30
2004
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
30
1991
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
30
1991
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
30
2009
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
30
2013
On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018
Pérez-Díaz, Sonia
29
2006
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
29
1996
Real-time CNC interpolators for Pythagorean-hodograph curves. Zbl 0875.68875
Farouki, Rida T.; Shah, Sagar
29
1996
A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014
Monterde, J.; Ugail, H.
29
2006
Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients. Zbl 1069.41504
Ahn, Young Joon; Lee, Byung-Gook; Park, Yunbeom; Yoo, Jaechil
29
2004
Surfaces over Dirichlet tessellations. Zbl 0728.65013
Farin, Gerald
29
1990
\(G^ 1\) interpolation of generally unrestricted cubic Bézier curves. Zbl 0621.65002
Sarraga, Ramon F.
28
1987
Some properties of LR-splines. Zbl 1284.65024
Bressan, Andrea
28
2013
Local control of interval tension using weighted splines. Zbl 0645.65007
Foley, Thomas A.
28
1986
Real rational curves are not ‘unit speed’. Zbl 0746.41019
Farouki, Rida T.; Sakkalis, Takis
28
1991
Approximation by polynomial splines on curved triangulations. Zbl 1489.65023
Schumaker, Larry L.; Yu, Annan
2
2022
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
1
2022
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010
López-Ureña, Sergio; Viscardi, Alberto
3
2021
\(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines. Zbl 1472.65014
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
2
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
1
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
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
Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space. Zbl 07337229
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
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
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
Planar projections of spatial Pythagorean-hodograph curves. Zbl 1480.65044
Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil
1
2021
A dynamic sampling approach towards computing Voronoi diagram of a set of circles. Zbl 07424068
Mukundan, Manoj Kumar; Muthuganapathy, Ramanathan
1
2021
Note on planar Pythagorean hodograph curves of Tschirnhaus type. Zbl 1469.65047
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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.
12
2020
The distance function from a real algebraic variety. Zbl 1453.65046
Ottaviani, Giorgio; Sodomaco, Luca
6
2020
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 07207278
Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica
5
2020
Optimal parametric interpolants of circular arcs. Zbl 07207291
Vavpetič, Aleš
5
2020
Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
4
2020
A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants. Zbl 1472.65023
Han, Chang Yong; Moon, Hwan Pyo; Kwon, Song-Hwa
4
2020
Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation. Zbl 07207279
Albrecht, Gudrun; Beccari, Carolina Vittoria; Romani, Lucia
4
2020
NLIGA: a MATLAB framework for nonlinear isogeometric analysis. Zbl 07207280
Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming
4
2020
Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 07207289
Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain
4
2020
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 07242739
Gantner, Gregor; Praetorius, Dirk
4
2020
Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 07190757
Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston
3
2020
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 07200768
Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming
3
2020
Local (T)HB-spline projectors via restricted hierarchical spline fitting. Zbl 07207276
Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos
3
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
3
2020
Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes. Zbl 07188120
Patrizi, Francesco; Dokken, Tor
2
2020
Conversion of B-rep CAD models into globally \(G^1\) triangular splines. Zbl 07188129
Hettinga, Gerben Jan; Kosinka, Jiří
2
2020
Argyris type quasi-interpolation of optimal approximation order. Zbl 07200760
Grošelj, Jan
2
2020
Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches. Zbl 07200764
Zhu, Xuefeng; Ji, Ye; Zhu, Chungang; Hu, Ping; Ma, Zheng-Dong
2
2020
Iterative coordinates. Zbl 07200774
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
2
2020
Classification of planar Pythagorean hodograph curves. Zbl 07207277
Šír, Zbyněk
2
2020
Construction of Minkowski Pythagorean hodograph B-spline curves. Zbl 07207286
Bizzarri, Michal; Lávička, Miroslav
2
2020
Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 07242735
Mainar, E.; Peña, J. M.; Rubio, B.
2
2020
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
2
2020
Extending ball B-spline by B-spline. Zbl 1450.65008
Liu, Xinyue; Wang, Xingce; Wu, Zhongke; Zhang, Dan; Liu, Xiangyuan
2
2020
Rational motions with generic trajectories of low degree. Zbl 1448.70006
Siegele, J.; Scharler, D. F.; Schröcker, H.-P.
2
2020
Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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
On the application of polygonal finite element method for Stokes flow – a comparison between equal order and different order approximation. Zbl 07188122
Natarajan, Sundararajan
1
2020
Another map from \(\mathbb{P}^7\) to the study quadric. Zbl 1441.70001
Selig, J. M.
1
2020
Implicit progressive-iterative approximation for curve and surface reconstruction. Zbl 07188124
Hamza, Yusuf Fatihu; Lin, Hongwei; Li, Zihao
1
2020
An approach to construct a three-dimensional isogeometric model from \(\mu\)-CT scan data with an application to the bridge of a violin. Zbl 1472.65025
Marschke, Sandra; Wunderlich, Linus; Ring, Wolfgang; Achterhold, Klaus; Pfeiffer, Franz
1
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
1
2020
CSIOR: circle-surface intersection ordered resampling. Zbl 07200761
Tortorici, Claudio; Riahi, Mohamed Kamel; Berretti, Stefano; Werghi, Naoufel
1
2020
Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines. Zbl 07200762
Ait-Haddou, Rachid; Beccari, Carolina Vittoria; Mazure, Marie-Laurence
1
2020
Spline surfaces with \(C^1\) quintic PH isoparametric curves. Zbl 07200763
Knez, Marjeta; Pelosi, Francesca; Sampoli, Maria Lucia
1
2020
Numerical roadmap of smooth bounded real algebraic surface. Zbl 07200772
Chen, Changbo; Wu, Wenyuan; Feng, Yong
1
2020
Laplacian-optimized diffusion for semi-supervised learning. Zbl 07200776
Budninskiy, Max; Abdelaziz, Ameera; Tong, Yiying; Desbrun, Mathieu
1
2020
Four-bar linkages, elliptic functions, and flexible polyhedra. Zbl 07200777
Izmestiev, Ivan
1
2020
Persistent manifolds of the special Euclidean group SE(3): a review. Zbl 07200778
Wu, Yuanqing; Carricato, Marco
1
2020
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 07200779
Hormann, Kai; Zheng, Jianmin
1
2020
Euclidean offset and bisector approximations of curves over freeform surfaces. Zbl 07207271
Elber, Gershon; Kim, Myung-Soo
1
2020
Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons. Zbl 07207272
Moon, Hwan Pyo; Kim, Soo Hyun; Kwon, Song-Hwa
1
2020
EasyMesh: an efficient method to reconstruct 3D mesh from a single image. Zbl 07207275
Sun, Xiao; Lian, Zhouhui
1
2020
Spherical interpolatory geometric subdivision schemes. Zbl 07207281
Bellaihou, Mohamed; Ikemakhen, Aziz
1
2020
P2MAT-NET: learning medial axis transform from sparse point clouds. Zbl 07207282
Yang, Baorong; Yao, Junfeng; Wang, Bin; Hu, Jianwei; Pan, Yiling; Pan, Tianxiang; Wang, Wenping; Guo, Xiaohu
1
2020
Reverse engineering of CAD models via clustering and approximate implicitization. Zbl 07207284
Raffo, Andrea; Barrowclough, Oliver J. D.; Muntingh, Georg
1
2020
Refinable tri-variate \(C^1\) splines for box-complexes including irregular points and irregular edges. Zbl 07207285
Peters, Jörg
1
2020
Dimension of polynomial splines of mixed smoothness on T-meshes. Zbl 07207288
Toshniwal, Deepesh; Villamizar, Nelly
1
2020
An optimized yarn-level geometric model for finite element analysis of weft-knitted fabrics. Zbl 07207290
Wadekar, Paras; Perumal, Vignesh; Dion, Genevieve; Kontsos, Antonios; Breen, David
1
2020
On a progressive and iterative approximation method with memory for least square fitting. Zbl 1450.65019
Huang, Zheng-Da; Wang, Hui-Di
1
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
Handling heterogeneous structures and materials using blending schemes in V-reps. Zbl 1460.65016
Cirillo, Emiliano; Elber, Gershon
1
2020
Characterizing envelopes of moving rotational cones and applications in CNC machining. Zbl 1467.65015
Skopenkov, Mikhail; Bo, Pengbo; Bartoň, Michael; Pottmann, Helmut
1
2020
Kinematic interpretation of Darboux cyclides. Zbl 1473.65017
Krasauskas, R.; Zube, S.
1
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
1
2020
An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 1470.65016
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
18
2019
Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products. Zbl 07137386
Massarwi, Fady; Antolin, Pablo; Elber, Gershon
11
2019
Offset hypersurfaces and persistent homology of algebraic varieties. Zbl 07137422
Horobeţ, Emil; Weinstein, Madeleine
8
2019
The space of \(C^1\)-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. Zbl 1465.65012
Birner, Katharina; Kapl, Mario
6
2019
A geometric view of optimal transportation and generative model. Zbl 1430.49050
Lei, Na; Su, Kehua; Cui, Li; Yau, Shing-Tung; Gu, Xianfeng David
5
2019
Knot calculation for spline fitting based on the unimodality property. Zbl 07137419
Luo, Jiaqi; Kang, Hongmei; Yang, Zhouwang
5
2019
An in depth analysis, via resultants, of the singularities of a parametric curve. Zbl 1439.14171
Blasco, Angel; Pérez-Díaz, Sonia
4
2019
Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon. Zbl 07137416
Kim, Soo Hyun; Moon, Hwan Pyo
4
2019
On initialization of milling paths for 5-axis flank CNC machining of free-form surfaces with general milling tools. Zbl 07137388
Bo, Pengbo; Bartoň, Michael
3
2019
Arc fibrations of planar domains. Zbl 07137393
Jüttler, Bert; Maroscheck, Sofia; Kim, Myung-Soo; Hong, Q. Youn
3
2019
Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension. Zbl 1470.65018
Toshniwal, Deepesh; Hughes, Thomas J. R.
3
2019
A Cox-de Boor-type recurrence relation for \(C^1\) multi-degree splines. Zbl 07137434
Beccari, Carolina Vittoria; Casciola, Giulio
3
2019
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 07038591
Xu, Xiao-Wei; Goldman, Ron
2
2019
A note on spectral properties of Hermite subdivision operators. Zbl 07038593
Moosmüller, Caroline
2
2019
Implicitizing rational surfaces without base points by moving planes and moving quadrics. Zbl 1465.65016
Lai, Yisheng; Chen, Falai; Shi, Xiaoran
2
2019
A fast numerical solver for local barycentric coordinates. Zbl 1465.65011
Tao, Jiong; Deng, Bailin; Zhang, Juyong
2
2019
Localized G-splines for quad & T-gon meshes. Zbl 07137403
Karčiauskas, Kȩstutis; Peters, Jörg
2
2019
Modified PHT-splines. Zbl 07137418
Ni, Qian; Wang, Xuhui; Deng, Jiansong
2
2019
\(\mu\)-bases for rational canal surfaces. Zbl 07038594
Yao, Shanshan; Jia, Xiaohong
1
2019
A merged tuning of binary and ternary Loop’s subdivision. Zbl 07038595
Donatelli, Marco; Novara, Paola; Romani, Lucia; Serra-Capizzano, Stefano; Sesana, Debora
1
2019
\(C^{1}\) analysis of some 2D subdivision schemes refining point-normal pairs with the circle average. Zbl 07038596
Lipovetsky, Evgeny; Dyn, Nira
1
2019
Q-MAT+: an error-controllable and feature-sensitive simplification algorithm for medial axis transform. Zbl 07137387
Pan, Yiling; Wang, Bin; Guo, Xiaohu; Zeng, Hua; Ma, Yuexin; Wang, Wenping
1
2019
Surface reconstruction by parallel and unified particle-based resampling from point clouds. Zbl 07137389
Zhong, Sikai; Zhong, Zichun; Hua, Jing
1
2019
A bivariate \(C^1\) subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
1
2019
Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines. Zbl 07137400
Qarariyah, Ammar; Yang, Tianhui; Deng, Jiansong
1
2019
Classification of the relative positions between a small ellipsoid and an elliptic paraboloid. Zbl 07137408
Brozos-Vázquez, M.; Pereira-Sáez, M. J.; Souto-Salorio, M. J.; Tarrío-Tobar, A. D.
1
2019
Holes and dependences in an ordered complex. Zbl 07137415
Edelsbrunner, Herbert; Ölsböck, Katharina
1
2019
Gauss-Lobatto polygon of Pythagorean hodograph curves. Zbl 07137423
Kim, Soo Hyun; Moon, Hwan Pyo
1
2019
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Cited by 5,721 Authors

97 Farouki, Rida T.
81 Jüttler, Bert
68 Peña, Juan Manuel
65 Goldman, Ronald N.
53 Manni, Carla
51 Mazure, Marie-Laurence
48 Wang, Guozhao
46 Chen, Falai
46 Romani, Lucia
44 Peters, Jorg
44 Speleers, Hendrik
41 Wang, Guojin
39 Krajnc, Marjeta
38 Hughes, Thomas J. R.
37 Mustafa, Ghulam
37 Sendra, Juan Rafael
36 Conti, Costanza
36 Floater, Michael S.
36 Han, Xuli
35 Deng, Jiansong
34 Pérez-Díaz, Sonia
34 Pottmann, Helmut
33 Carnicer, Jésus Miguel
33 Dyn, Nira
32 Alcazar, Juan Gerardo
32 Giannelli, Carlotta
32 Sederberg, Thomas W.
31 Schumaker, Larry L.
30 Lávička, Miroslav
28 Sestini, Alessandra
28 Žagar, Emil
28 Zhu, Chungang
25 Mourrain, Bernard
25 Vitrih, Vito
24 Lu, Lizheng
23 Beccari, Carolina Vittoria
23 Casciola, Giulio
23 Deng, Chongyang
23 Xu, Guoliang
23 Zhu, Yuanpeng
22 Ait-Haddou, Rachid
22 Delgado, Jorge F. M.
22 Farin, Gerald E.
22 Hu, Gang
22 Meek, Dereck S.
22 Xu, Gang
22 Zhang, Yongjie Jessica
21 Kosinka, Jiří
21 Reif, Ulrich
21 Sampoli, Maria Lucia
21 Sánchez-Reyes, Javier
21 Shen, Liyong
21 Siddiqi, Shahid Saeed
21 Šír, Zbyněk
21 Wang, Renhong
20 Karčiauskas, Kęstutis
20 Lai, Mingjun
20 Li, Xin
20 Mainar, Esmeralda
20 Wang, Wenping
19 Duan, Qi
19 Goodman, Timothy N. T.
19 Lavery, John E.
19 Ma, Weiyin
19 Pelosi, Francesca
19 Sbibih, Driss
19 Schicho, Josef
19 Walton, Desmond J.
19 Zheng, Jianmin
18 Ahn, Young Joon
18 Buffa, Annalisa
18 Han, Chang Yong
18 Jaklič, Gašper
18 Kozak, Jernej
18 Lamnii, Abdellah
18 Paluszny, Marco
18 Rabczuk, Timon
18 Sabin, Malcolm A.
18 Vršek, Jan
17 Costantini, Paolo Giuseppe
17 Hsu, Ming-Chen
17 Hussain, Malik Zawwar
17 Kim, Taewan
17 Lyche, Tom
17 Monterde, Juan
17 Plaza, Ángel
17 Reali, Alessandro
17 Sakkalis, Takis
17 Scott, Michael A.
17 Tan, Jieqing
17 Zheng, Hongchan
17 Zidna, Ahmed
16 Bajaj, Chandrajit L.
16 Bizzarri, Michal
16 Bracco, Cesare
16 Busé, Laurent
16 Elber, Gershon
16 Jiang, Qingtang
16 Kapl, Mario
16 Lin, Hongwei
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Cited in 480 Journals

1,383 Computer Aided Geometric Design
428 Journal of Computational and Applied Mathematics
302 Computer Methods in Applied Mechanics and Engineering
201 Applied Mathematics and Computation
124 Journal of Symbolic Computation
109 Computers & Mathematics with Applications
105 Advances in Computational Mathematics
96 Numerical Algorithms
73 Journal of Approximation Theory
70 Journal of Computational Physics
59 International Journal for Numerical Methods in Engineering
52 Mathematics and Computers in Simulation
51 Applied Numerical Mathematics
50 International Journal of Computer Mathematics
48 BIT
45 Mathematics of Computation
43 Constructive Approximation
42 Computing
42 Numerische Mathematik
41 Applied Mathematics. Series B (English Edition)
40 Computational Mechanics
37 International Journal of Computational Geometry & Applications
36 Discrete & Computational Geometry
34 Computational Geometry
34 Mathematical Problems in Engineering
33 Linear Algebra and its Applications
33 Computational and Applied Mathematics
30 Journal of Zhejiang University. Science A
29 Applied Mathematical Modelling
29 International Journal of Shape Modeling
28 Journal of Scientific Computing
27 Engineering Analysis with Boundary Elements
26 Journal of Systems Science and Complexity
25 Journal of Mathematical Analysis and Applications
25 Journal of Mathematical Imaging and Vision
23 SIAM Journal on Scientific Computing
22 Theoretical Computer Science
21 Mathematical and Computer Modelling
19 ACM Transactions on Graphics
17 Journal of Geometry
17 Applied Mathematics Letters
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Applied and Computational Harmonic Analysis
17 Journal of Applied Mathematics
17 Mathematics in Computer Science
16 Results in Mathematics
16 Journal of Computer Science and Technology
15 RAIRO. Modélisation Mathématique et Analyse Numérique
14 Journal of Algebra
14 Advances in Applied Clifford Algebras
14 Abstract and Applied Analysis
14 Communications in Mathematics and Statistics
13 International Journal of Production Research
13 Applicable Algebra in Engineering, Communication and Computing
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Advances in Difference Equations
12 Pattern Recognition
12 Foundations of Computational Mathematics
12 International Journal of Wavelets, Multiresolution and Information Processing
12 SIAM Journal on Imaging Sciences
11 Computational Mathematics and Mathematical Physics
11 Mediterranean Journal of Mathematics
11 AIMS Mathematics
10 Rocky Mountain Journal of Mathematics
10 Journal of Pure and Applied Algebra
10 SIAM Journal on Numerical Analysis
10 Journal of Mathematical Sciences (New York)
9 Discrete Applied Mathematics
9 Chaos, Solitons and Fractals
9 Calcolo
8 Computers and Fluids
8 Transactions of the American Mathematical Society
8 Advances in Applied Mathematics
8 Japan Journal of Industrial and Applied Mathematics
8 Journal of the Egyptian Mathematical Society
8 Journal of Inequalities and Applications
8 Journal of Applied Mathematics and Computing
8 Science in China. Series F
8 Journal of Mathematics
7 Applicable Analysis
7 Information Sciences
7 Algorithmica
7 Journal of Global Optimization
7 Communications in Numerical Methods in Engineering
7 Engineering Computations
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Symmetry
7 Journal of Theoretical Biology
7 International Journal of Applied and Computational Mathematics
6 Mathematical Methods in the Applied Sciences
6 Beiträge zur Algebra und Geometrie
6 Journal of Optimization Theory and Applications
6 Monatshefte für Mathematik
6 Proceedings of the American Mathematical Society
6 Acta Applicandae Mathematicae
6 The Visual Computer
6 Engineering with Computers
6 International Journal of Algebra and Computation
6 Filomat
6 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
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Cited in 59 Fields

3,775 Numerical analysis (65-XX)
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972 Computer science (68-XX)
434 Differential geometry (53-XX)
314 Algebraic geometry (14-XX)
314 Mechanics of deformable solids (74-XX)
215 Partial differential equations (35-XX)
158 Fluid mechanics (76-XX)
131 Geometry (51-XX)
125 Convex and discrete geometry (52-XX)
121 Commutative algebra (13-XX)
115 Operations research, mathematical programming (90-XX)
97 Harmonic analysis on Euclidean spaces (42-XX)
82 Linear and multilinear algebra; matrix theory (15-XX)
82 Biology and other natural sciences (92-XX)
63 Information and communication theory, circuits (94-XX)
62 Calculus of variations and optimal control; optimization (49-XX)
58 Statistics (62-XX)
55 Real functions (26-XX)
54 Mechanics of particles and systems (70-XX)
51 Combinatorics (05-XX)
46 Special functions (33-XX)
46 Global analysis, analysis on manifolds (58-XX)
44 Ordinary differential equations (34-XX)
36 Functions of a complex variable (30-XX)
36 Dynamical systems and ergodic theory (37-XX)
35 Manifolds and cell complexes (57-XX)
34 Field theory and polynomials (12-XX)
30 Systems theory; control (93-XX)
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19 Statistical mechanics, structure of matter (82-XX)
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