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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: 1,897 Publications (since 1984)
References Indexed: 1,740 Publications with 38,270 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
23 Chen, Falai
22 Farin, Gerald E.
21 Prautzsch, Hartmut
20 Hormann, Kai
19 Elber, Gershon
19 Lávička, Miroslav
19 Manni, Carla
18 Kosinka, Jiří
17 Deng, Chongyang
17 Floater, Michael S.
17 Krajnc, Marjeta
17 Peña, Juan Manuel
17 Sánchez-Reyes, Javier
17 Schumaker, Larry L.
16 Dyn, Nira
16 Sabin, Malcolm A.
15 Karčiauskas, Kęstutis
15 Reif, Ulrich
15 Sestini, Alessandra
15 Wang, Guozhao
15 Xu, Guoliang
15 Zheng, Jianmin
14 Böhm, Wolfgang
14 Pyo Moon, Hwan
14 Šír, Zbyněk
14 Speleers, Hendrik
13 Giannelli, Carlotta
13 Romani, Lucia
12 Beccari, Carolina Vittoria
12 Carnicer, Jésus Miguel
12 Deng, Jiansong
12 Dodgson, Neil A.
12 Hamann, Bernd
12 Kim, Myung-Soo
12 Ma, Weiyin
12 Meek, Dereck S.
12 Pérez-Díaz, Sonia
12 Sampoli, Maria Lucia
11 Alcazar, Juan Gerardo
11 Goodman, Timothy N. T.
11 Han, Chang Yong
11 Kwon, Song-Hwa
11 Qin, Hong
11 Wang, Guojin
11 Žagar, Emil
10 Bajaj, Chandrajit L.
10 Barnhill, Robert E.
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 Vršek, Jan
10 Walton, Desmond J.
9 Ait-Haddou, Rachid
9 Bizzarri, Michal
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 1,831 more Authors
all top 5

Fields

1,497 Numerical analysis (65-XX)
461 Computer science (68-XX)
365 Approximations and expansions (41-XX)
125 Differential geometry (53-XX)
62 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)
16 Convex and discrete geometry (52-XX)
11 History and biography (01-XX)
9 Combinatorics (05-XX)
9 Biology and other natural sciences (92-XX)
8 Information and communication theory, circuits (94-XX)
7 Special functions (33-XX)
7 Partial differential equations (35-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

1,476 Publications have been cited 14,355 times in 5,286 Documents Cited by Year
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
203
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
166
2012
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik
140
2013
Mean value coordinates. Zbl 1069.65553
Floater, Michael S.
132
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.
98
1988
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
97
1987
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
91
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.
90
2012
C-curves: An extension of cubic curves. Zbl 0900.68405
Zhang, Jiwen
86
1996
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
85
2012
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
83
1995
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.
76
1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
75
1998
Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162
Floater, Michael S.
71
1997
The geometry of Tchebycheffian splines. Zbl 0777.41016
Pottmann, Helmut
70
1993
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
69
2005
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
64
1995
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
Dierckx, Paul
63
1997
Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157
Mainar, E.; Peña, J. M.; Sánchez-Reyes, J.
62
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
54
2005
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
53
1985
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
52
2009
Improperly parametrized rational curves. Zbl 0594.65006
Sederberg, Thomas W.
52
1986
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
Analytic properties of plane offset curves. Zbl 0718.53003
Farouki, R. T.; Neff, C. A.
51
1990
Tracing surface intersections. Zbl 0659.65012
Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H.
50
1988
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
50
2007
A class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
50
2003
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
47
1990
Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
46
1994
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
46
2005
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
45
1998
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
44
1999
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
43
2002
The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158
Chen, F.; Zheng, J.; Sederberg, T. W.
43
2001
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
40
2008
Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
40
2016
An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control. Zbl 1171.65326
Beccari, C.; Casciola, G.; Romani, L.
39
2007
Applications of Laguerre geometry in CAGD. Zbl 0996.65018
Pottmann, Helmut; Peternell, Martin
38
1998
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
38
1995
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
38
1996
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
38
2004
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
37
1990
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
37
1991
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
37
1999
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
37
2001
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
37
1993
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
37
1997
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
36
2010
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
36
1984
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
35
1988
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
35
2008
4–8 Subdivision. Zbl 0969.68157
Velho, L.; Zorin, D.
35
2001
Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145
Klok, Fopke
34
1986
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
34
1991
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
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
34
2004
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
33
1988
Cyclides in computer aided geometric design. Zbl 0712.65008
Pratt, M. J.
33
1990
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
33
2002
Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
33
2015
Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
32
1998
Properties of \(n\)-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
32
1986
Tracing index of rational curve parametrizations. Zbl 0983.68224
Sendra, J. R.; Winkler, F.
32
2001
Two different forms of C-B-splines. Zbl 0900.68418
Zhang, Jiwen
32
1997
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
32
2004
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
31
1985
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
31
2010
A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155
Zorin, D.; Schröder, P.
31
2001
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
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
30
1986
Surface algorithms using bounds on derivatives. Zbl 0632.65013
Filip, Daniel; Magedson, Robert; Markot, Robert
30
1986
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
30
1991
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
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
30
2013
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
30
2005
An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
30
1997
Surfaces over Dirichlet tessellations. Zbl 0728.65013
Farin, Gerald
29
1990
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
29
1991
Nonexistence of rational rotation-minimizing frames on cubic curves. Zbl 1172.65327
Han, Chang Yong
29
2008
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
29
1992
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
29
2009
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
Local control of interval tension using weighted splines. Zbl 0645.65007
Foley, Thomas A.
28
1986
Some properties of LR-splines. Zbl 1284.65024
Bressan, Andrea
28
2013
A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014
Monterde, J.; Ugail, H.
28
2006
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
28
1993
Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559
Monterde, J.
28
2004
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
28
2004
Unifying C-curves and H-curves by extending the calculation to complex numbers. Zbl 1087.65516
Zhang, Jiwen; Krause, Frank-L.; Zhang, Huaiyu
28
2005
\(G^ 1\) interpolation of generally unrestricted cubic Bézier curves. Zbl 0621.65002
Sarraga, Ramon F.
27
1987
Fairing cubic B-spline curves. Zbl 0644.65007
Farin, G.; Rein, G.; Sapidis, N.; Worsey, A. J.
27
1987
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010
López-Ureña, Sergio; Viscardi, Alberto
2
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
Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space. Zbl 07337229
Özçetin, B. Merih; Düldül, Mustafa
1
2021
A sufficient condition for 3D typical curves. Zbl 1470.65024
Tong, Weihua; Chen, Ming
1
2021
Note on planar Pythagorean hodograph curves of Tschirnhaus type. Zbl 1469.65047
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
1
2021
A dynamic sampling approach towards computing Voronoi diagram of a set of circles. Zbl 07424068
Mukundan, Manoj Kumar; Muthuganapathy, Ramanathan
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.
11
2020
The distance function from a real algebraic variety. Zbl 1453.65046
Ottaviani, Giorgio; Sodomaco, Luca
5
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
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
Optimal parametric interpolants of circular arcs. Zbl 07207291
Vavpetič, Aleš
4
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
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
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
3
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
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
Iterative coordinates. Zbl 07200774
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
2
2020
Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation. Zbl 07207279
Albrecht, Gudrun; Beccari, Carolina Vittoria; Romani, Lucia
2
2020
Construction of Minkowski Pythagorean hodograph B-spline curves. Zbl 07207286
Bizzarri, Michal; Lávička, Miroslav
2
2020
Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 07190757
Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston
2
2020
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 07242739
Gantner, Gregor; Praetorius, Dirk
2
2020
Extending ball B-spline by B-spline. Zbl 1450.65008
Liu, Xinyue; Wang, Xingce; Wu, Zhongke; Zhang, Dan; Liu, Xiangyuan
2
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
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
1
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
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
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
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
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
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
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
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
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
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 isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 1470.65016
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
17
2019
Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products. Zbl 07137386
Massarwi, Fady; Antolin, Pablo; Elber, Gershon
10
2019
Offset hypersurfaces and persistent homology of algebraic varieties. Zbl 07137422
Horobeţ, Emil; Weinstein, Madeleine
7
2019
The space of \(C^1\)-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. Zbl 1465.65012
Birner, Katharina; Kapl, Mario
5
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
4
2019
An in depth analysis, via resultants, of the singularities of a parametric curve. Zbl 1439.14171
Blasco, Angel; Pérez-Díaz, Sonia
3
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
Knot calculation for spline fitting based on the unimodality property. Zbl 07137419
Luo, Jiaqi; Kang, Hongmei; Yang, Zhouwang
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
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
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
Localized G-splines for quad & T-gon meshes. Zbl 07137403
Karčiauskas, Kȩstutis; Peters, Jörg
2
2019
Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon. Zbl 07137416
Kim, Soo Hyun; Moon, Hwan Pyo
2
2019
Modified PHT-splines. Zbl 07137418
Ni, Qian; Wang, Xuhui; Deng, Jiansong
2
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
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
Stochastic isogeometric analysis method for plate structures with random uncertainty. Zbl 07137427
Wang, Wenpei; Chen, Guohai; Yang, Dixiong; Kang, Zhan
1
2019
Isogeometric analysis with strong multipatch \(C^{1}\)-coupling. Zbl 06892796
Chan, C. L.; Anitescu, C.; Rabczuk, T.
23
2018
Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition. Zbl 06892777
Xiao, Shiwei; Kang, Hongmei; Fu, Xiao-Ming; Chen, Falai
14
2018
Low-rank parameterization of planar domains for isogeometric analysis. Zbl 1441.65016
Pan, Maodong; Chen, Falai; Tong, Weihua
12
2018
Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570
Hinz, J.; Möller, M.; Vuik, C.
10
2018
Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 07038580
Grošelj, Jan; Speleers, Hendrik
7
2018
Multisided generalisations of Gregory patches. Zbl 06892786
Hettinga, Gerben J.; Kosinka, Jiří
7
2018
Counter examples of “class A Bézier curves”. Zbl 06894879
Wang, Aizeng; Zhao, Gang
4
2018
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
4
2018
Simplex-splines on the Clough-Tocher element. Zbl 07038571
Lyche, Tom; Merrien, Jean-Louis
4
2018
P-Bézier and P-Bspline curves – new representations with proximity control. Zbl 06892783
Kovács, István; Várady, Tamás
4
2018
High order approximation to non-smooth multivariate functions. Zbl 1441.41010
Amir, Anat; Levin, David
3
2018
Interpolation of circular arcs by parametric polynomials of maximal geometric smoothness. Zbl 1441.65030
Knez, Marjeta; Žagar, Emil
3
2018
Conformal mesh parameterization using discrete Calabi flow. Zbl 1441.65028
Zhao, Hui; Li, Xuan; Ge, Huabin; Lei, Na; Zhang, Min; Wang, Xiaoling; Gu, Xianfeng
3
2018
Log-aesthetic curves as similarity geometric analogue of Euler’s elasticae. Zbl 06894878
J. Inoguchi, Jun-ichi; Kajiwara, Kenji; Miura, Kenjiro T.; Sato, Masayuki; Schief, Wolfgang K.; Shimizu, Yasuhiro
3
2018
Kinematic generation of Darboux cyclides. Zbl 1439.53014
Lubbes, Niels; Schicho, Josef
3
2018
\(p\)-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement. Zbl 07038583
Fayolle, Pierre-Alain; Belyaev, Alexander G.
3
2018
Learnt knot placement in B-spline curve approximation using support vector machines. Zbl 06892782
Laube, Pascal; Franz, Matthias O.; Umlauf, Georg
3
2018
Exact conversion from Bézier tetrahedra to Bézier hexahedra. Zbl 06892785
Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon
3
2018
Adaptive Fitting with THB-splines: error analysis and industrial applications. Zbl 06892792
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra
3
2018
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Cited by 5,573 Authors

95 Farouki, Rida T.
81 Jüttler, Bert
66 Peña, Juan Manuel
64 Goldman, Ronald N.
52 Manni, Carla
51 Mazure, Marie-Laurence
48 Wang, Guozhao
46 Romani, Lucia
45 Chen, Falai
44 Peters, Jorg
43 Speleers, Hendrik
41 Wang, Guojin
38 Hughes, Thomas J. R.
37 Sendra, Juan Rafael
36 Conti, Costanza
36 Floater, Michael S.
36 Han, Xuli
36 Krajnc, Marjeta
35 Deng, Jiansong
35 Mustafa, Ghulam
34 Pottmann, Helmut
33 Carnicer, Jésus Miguel
33 Dyn, Nira
32 Giannelli, Carlotta
32 Pérez-Díaz, Sonia
32 Sederberg, Thomas W.
30 Alcazar, Juan Gerardo
30 Schumaker, Larry L.
29 Lávička, Miroslav
28 Sestini, Alessandra
26 Žagar, Emil
26 Zhu, Chungang
25 Mourrain, Bernard
24 Lu, Lizheng
23 Beccari, Carolina Vittoria
23 Casciola, Giulio
23 Deng, Chongyang
23 Vitrih, Vito
23 Xu, Guoliang
23 Zhu, Yuanpeng
22 Ait-Haddou, Rachid
22 Delgado, Jorge F. M.
22 Farin, Gerald E.
22 Meek, Dereck S.
22 Zhang, Yongjie Jessica
21 Hu, Gang
21 Kosinka, Jiří
21 Siddiqi, Shahid Saeed
21 Šír, Zbyněk
21 Wang, Renhong
21 Xu, Gang
20 Karčiauskas, Kęstutis
20 Lai, Mingjun
20 Reif, Ulrich
20 Sampoli, Maria Lucia
20 Sánchez-Reyes, Javier
20 Shen, Liyong
20 Wang, Wenping
19 Duan, Qi
19 Goodman, Timothy N. T.
19 Lavery, John E.
19 Li, Xin
19 Ma, Weiyin
19 Sbibih, Driss
19 Schicho, Josef
19 Walton, Desmond J.
19 Zheng, Jianmin
18 Ahn, Young Joon
18 Jaklič, Gašper
18 Kozak, Jernej
18 Mainar, Esmeralda
18 Paluszny, Marco
18 Pelosi, Francesca
18 Rabczuk, Timon
18 Sabin, Malcolm A.
17 Buffa, Annalisa
17 Costantini, Paolo Giuseppe
17 Han, Chang Yong
17 Hussain, Malik Zawwar
17 Kim, Taewan
17 Lamnii, Abdellah
17 Lyche, Tom
17 Monterde, Juan
17 Plaza, Ángel
17 Reali, Alessandro
17 Sakkalis, Takis
17 Scott, Michael A.
17 Tan, Jieqing
17 Vršek, Jan
16 Bajaj, Chandrajit L.
16 Bracco, Cesare
16 Busé, Laurent
16 Elber, Gershon
16 Hsu, Ming-Chen
16 Jiang, Qingtang
16 Lin, Hongwei
16 Peters, Thomas J.
16 Rababah, Abedallah
16 Winkler, Joab R.
16 Woźny, Paweł
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Cited in 467 Journals

1,369 Computer Aided Geometric Design
422 Journal of Computational and Applied Mathematics
294 Computer Methods in Applied Mechanics and Engineering
199 Applied Mathematics and Computation
120 Journal of Symbolic Computation
107 Computers & Mathematics with Applications
105 Advances in Computational Mathematics
95 Numerical Algorithms
73 Journal of Approximation Theory
66 Journal of Computational Physics
59 International Journal for Numerical Methods in Engineering
51 Mathematics and Computers in Simulation
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50 International Journal of Computer Mathematics
48 BIT
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43 Constructive Approximation
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39 Numerische Mathematik
37 Computational Mechanics
37 International Journal of Computational Geometry & Applications
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32 Linear Algebra and its Applications
31 Computational and Applied Mathematics
30 Journal of Zhejiang University. Science A
29 Applied Mathematical Modelling
29 International Journal of Shape Modeling
26 Engineering Analysis with Boundary Elements
25 Journal of Mathematical Analysis and Applications
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24 Journal of Scientific Computing
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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
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17 Mathematics in Computer Science
16 Results in Mathematics
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16 Applied and Computational Harmonic Analysis
15 RAIRO. Modélisation Mathématique et Analyse Numérique
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13 International Journal of Production Research
13 Applicable Algebra in Engineering, Communication and Computing
13 Advances in Applied Clifford Algebras
13 Abstract and Applied Analysis
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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12 Pattern Recognition
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12 International Journal of Wavelets, Multiresolution and Information Processing
12 SIAM Journal on Imaging Sciences
11 Mediterranean Journal of Mathematics
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9 Calcolo
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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
7 AIMS 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
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6 International Journal of Geometric Methods in Modern Physics
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