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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: 1,862 Publications (since 1984)
References Indexed: 1,706 Publications with 37,097 References.
all top 5

Authors

59 Farouki, Rida T.
39 Jüttler, Bert
37 Peters, Jorg
32 Sederberg, Thomas W.
30 Goldman, Ron N.
27 Pottmann, Helmut
23 Wang, Wenping
22 Chen, Falai
22 Farin, Gerald E.
21 Prautzsch, Hartmut
19 Hormann, Kai
19 Lávička, Miroslav
19 Manni, Carla
18 Elber, Gershon
17 Deng, Chongyang
17 Floater, Michael S.
17 Kosinka, Jiří
17 Peña, Juan Manuel
16 Sabin, Malcolm A.
16 Sánchez-Reyes, Javier
16 Schumaker, Larry L.
15 Dyn, Nira
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 Romani, Lucia
12 Beccari, Carolina Vittoria
12 Carnicer, Jésus Miguel
12 Deng, Jiansong
12 Dodgson, Neil A.
12 Giannelli, Carlotta
12 Hamann, Bernd
12 Kim, Myung-Soo
12 Ma, Weiyin
12 Meek, Dereck S.
12 Sampoli, Maria Lucia
11 Goodman, Timothy N. T.
11 Han, Chang Yong
11 Krajnc, Marjeta
11 Kwon, Song-Hwa
11 Pérez-Díaz, Sonia
11 Qin, Hong
11 Wang, Guojin
10 Alcazar, Juan Gerardo
10 Bajaj, Chandrajit L.
10 Barnhill, Robert E.
10 Gregory, John A.
10 Hagen, Hans-Juergen
10 Jia, Xiaohong
10 Lyche, Tom
10 Mourrain, Bernard
10 Peternell, Martin
10 Tu, Changhe
10 Vršek, Jan
10 Walton, Desmond J.
9 Ait-Haddou, Rachid
9 Hoschek, Josef
9 Hu, Shimin
9 Lai, Mingjun
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
9 Žagar, Emil
8 Bizzarri, Michal
8 Casciola, Giulio
8 Choi, Hyeong In
8 Costantini, Paolo Giuseppe
8 Degen, Wendelin L. F.
8 Goldman, Ronald N.
8 Hartmann, Erich
8 Hermann, Thomas
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.
7 Alfeld, Peter
7 Barton, Michael H.
7 Bastl, Bohumír
7 Conti, Costanza
7 Dierckx, Paul
7 Foley, Thomas A.
...and 1,794 more Authors
all top 5

Fields

1,462 Numerical analysis (65-XX)
460 Computer science (68-XX)
365 Approximations and expansions (41-XX)
124 Differential geometry (53-XX)
61 Algebraic geometry (14-XX)
60 Geometry (51-XX)
24 General and overarching topics; collections (00-XX)
19 Mechanics of particles and systems (70-XX)
16 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 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Calculus of variations and optimal control; optimization (49-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

1,440 Publications have been cited 13,641 times in 4,979 Documents Cited by Year
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
190
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
147
2012
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik
131
2013
Mean value coordinates. Zbl 1069.65553
Floater, Michael S.
126
2003
Blossoms are polar forms. Zbl 0705.65008
Ramshaw, Lyle
123
1989
Algorithms for polynomials in Bernstein form. Zbl 0648.65007
Farouki, R. T.; Rajan, V. T.
95
1988
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
93
1987
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
90
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.
88
2012
C-curves: An extension of cubic curves. Zbl 0900.68405
Zhang, Jiwen
85
1996
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
82
1995
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
76
2012
The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005
Farouki, Rida T.
75
1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
74
1998
An interpolating 4-point \(C^2\) ternary stationary subdivision scheme. Zbl 0984.68167
Hassan, M. F.; Ivrissimitzis, I. P.; Dodgson, N. A.; Sabin, M. A.
73
2002
Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162
Floater, Michael S.
69
1997
The geometry of Tchebycheffian splines. Zbl 0777.41016
Pottmann, Helmut
68
1993
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
62
1995
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
Dierckx, Paul
61
1997
Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157
Mainar, E.; Peña, J. M.; Sánchez-Reyes, J.
59
2001
Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128
Costantini, P.
55
2000
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
55
2002
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
53
1985
Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
53
2005
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
51
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 class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
48
2003
Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
46
1994
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
46
2005
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
46
2007
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
45
1998
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
45
2009
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
45
1990
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
43
2002
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
43
2005
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
41
1999
The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158
Chen, F.; Zheng, J.; Sederberg, T. W.
40
2001
A subdivision scheme for surfaces of revolution. Zbl 0970.68177
Morin, G.; Warren, J.; Weimer, H.
39
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
39
2008
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
37
1993
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
37
2001
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
37
1996
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
37
1997
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
37
1999
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
37
1990
An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control. Zbl 1171.65326
Beccari, C.; Casciola, G.; Romani, L.
37
2007
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
36
1995
Applications of Laguerre geometry in CAGD. Zbl 0996.65018
Pottmann, Helmut; Peternell, Martin
36
1998
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
35
1991
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
35
1988
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
35
2010
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.
34
2001
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
34
2004
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
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
33
1984
Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145
Klok, Fopke
33
1986
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
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.
31
2001
Two different forms of C-B-splines. Zbl 0900.68418
Zhang, Jiwen
31
1997
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
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
31
2004
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
31
2004
Properties of \(n\)-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
31
1986
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
31
1985
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
31
1991
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
30
2002
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
Surface algorithms using bounds on derivatives. Zbl 0632.65013
Filip, Daniel; Magedson, Robert; Markot, Robert
30
1986
Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
30
1998
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
30
1991
An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
29
1997
Real-time CNC interpolators for Pythagorean-hodograph curves. Zbl 0875.68875
Farouki, Rida T.; Shah, Sagar
29
1996
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
29
2010
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
29
2009
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
29
1986
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
29
1992
Surfaces over Dirichlet tessellations. Zbl 0728.65013
Farin, Gerald
29
1990
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
29
2013
Nonexistence of rational rotation-minimizing frames on cubic curves. Zbl 1172.65327
Han, Chang Yong
29
2008
Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
29
2016
Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
29
2015
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
28
1993
Local control of interval tension using weighted splines. Zbl 0645.65007
Foley, Thomas A.
28
1986
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
28
2005
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
27
1996
Geometric Hermite interpolation with maximal order and smoothness. Zbl 0875.68880
Höllig, K.; Koch, J.
27
1996
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
27
2004
\(G^ 1\) 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
Approximate conversion of spline curves. Zbl 0645.65008
Hoschek, Josef
27
1987
A spline approximation of offset curves. Zbl 0647.65007
Hoschek, Josef
27
1988
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
27
1991
On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018
Pérez-Díaz, Sonia
26
2006
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010
López-Ureña, Sergio; Viscardi, Alberto
1
2021
A sufficient condition for 3D typical curves. Zbl 07367126
Tong, Weihua; Chen, Ming
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.
6
2020
Geometrically smooth spline bases for data fitting and simulation. Zbl 07190753
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
4
2020
A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants. Zbl 07190756
Han, Chang Yong; Moon, Hwan Pyo; Kwon, Song-Hwa
4
2020
Optimal parametric interpolants of circular arcs. Zbl 07207291
Vavpetič, Aleš
3
2020
The distance function from a real algebraic variety. Zbl 1453.65046
Ottaviani, Giorgio; Sodomaco, Luca
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
Rational motions with generic trajectories of low degree. Zbl 1448.70006
Siegele, J.; Scharler, D. F.; Schröcker, H.-P.
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
Argyris type quasi-interpolation of optimal approximation order. Zbl 07200760
Grošelj, Jan
2
2020
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 07200768
Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming
2
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
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
Extending ball B-spline by B-spline. Zbl 1450.65008
Liu, Xinyue; Wang, Xingce; Wu, Zhongke; Zhang, Dan; Liu, Xiangyuan
1
2020
Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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
Handling heterogeneous structures and materials using blending schemes in V-reps. Zbl 1460.65016
Cirillo, Emiliano; Elber, Gershon
1
2020
Another map from \(\mathbb{P}^7\) to the study quadric. Zbl 1441.70001
Selig, J. M.
1
2020
Conversion of B-rep CAD models into globally \(G^1\) triangular splines. Zbl 07188129
Hettinga, Gerben Jan; Kosinka, Jiří
1
2020
Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 07190757
Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston
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
Iterative coordinates. Zbl 07200774
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
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
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
Local (T)HB-spline projectors via restricted hierarchical spline fitting. Zbl 07207276
Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos
1
2020
NLIGA: a MATLAB framework for nonlinear isogeometric analysis. Zbl 07207280
Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming
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 isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 07038597
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
13
2019
Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products. Zbl 07137386
Massarwi, Fady; Antolin, Pablo; Elber, Gershon
7
2019
Offset hypersurfaces and persistent homology of algebraic varieties. Zbl 07137422
Horobeţ, Emil; Weinstein, Madeleine
5
2019
The space of \(C^1\)-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. Zbl 1465.65012
Birner, Katharina; Kapl, Mario
3
2019
Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension. Zbl 07137431
Toshniwal, Deepesh; Hughes, Thomas J. R.
3
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
3
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
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
Knot calculation for spline fitting based on the unimodality property. Zbl 07137419
Luo, Jiaqi; Kang, Hongmei; Yang, Zhouwang
2
2019
A Cox-de Boor-type recurrence relation for \(C^1\) multi-degree splines. Zbl 07137434
Beccari, Carolina Vittoria; Casciola, Giulio
2
2019
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 07038591
Xu, Xiao-Wei; Goldman, Ron
2
2019
Implicitizing rational surfaces without base points by moving planes and moving quadrics. Zbl 1465.65016
Lai, Yisheng; Chen, Falai; Shi, Xiaoran
1
2019
A fast numerical solver for local barycentric coordinates. Zbl 1465.65011
Tao, Jiong; Deng, Bailin; Zhang, Juyong
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
Arc fibrations of planar domains. Zbl 07137393
Jüttler, Bert; Maroscheck, Sofia; Kim, Myung-Soo; Hong, Q. Youn
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
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
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
Isogeometric analysis with strong multipatch \(C^{1}\)-coupling. Zbl 06892796
Chan, C. L.; Anitescu, C.; Rabczuk, T.
18
2018
Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition. Zbl 06892777
Xiao, Shiwei; Kang, Hongmei; Fu, Xiao-Ming; Chen, Falai
10
2018
Low-rank parameterization of planar domains for isogeometric analysis. Zbl 1441.65016
Pan, Maodong; Chen, Falai; Tong, Weihua
8
2018
Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570
Hinz, J.; Möller, M.; Vuik, C.
7
2018
Multisided generalisations of Gregory patches. Zbl 06892786
Hettinga, Gerben J.; Kosinka, Jiří
6
2018
Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 07038580
Grošelj, Jan; Speleers, Hendrik
5
2018
Counter examples of “class A Bézier curves”. Zbl 06894879
Wang, Aizeng; Zhao, Gang
4
2018
Simplex-splines on the Clough-Tocher element. Zbl 07038571
Lyche, Tom; Merrien, Jean-Louis
4
2018
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
3
2018
Adaptive Fitting with THB-splines: error analysis and industrial applications. Zbl 06892792
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra
3
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
\(p\)-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement. Zbl 07038583
Fayolle, Pierre-Alain; Belyaev, Alexander G.
3
2018
Curvature based sampling of curves and surfaces. Zbl 1381.65016
Pagani, Luca; Scott, Paul J.
2
2018
Simploidal sets: A data structure for handling simploidal Bézier spaces. Zbl 06892778
Peltier, Samuel; Lienhardt, Pascal
2
2018
Learnt knot placement in B-spline curve approximation using support vector machines. Zbl 06892782
Laube, Pascal; Franz, Matthias O.; Umlauf, Georg
2
2018
P-Bézier and P-Bspline curves – new representations with proximity control. Zbl 06892783
Kovács, István; Várady, Tamás
2
2018
Exact conversion from Bézier tetrahedra to Bézier hexahedra. Zbl 06892785
Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon
2
2018
Directional density measure to intrinsically estimate and counteract non-uniformity in point clouds. Zbl 07003479
Skrodzki, Martin; Jansen, Johanna; Polthier, Konrad
2
2018
Topology-driven shape chartification. Zbl 07038567
Sorgente, Tommaso; Biasotti, Silvia; Livesu, Marco; Spagnuolo, Michela
2
2018
\(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length. Zbl 07038579
Knez, Marjeta
2
2018
Cissoid constructions of augmented rational ruled surfaces. Zbl 1398.65027
Sendra, J. Rafael; Peternell, Martin; Sendra, Juana
1
2018
Hermite mean value interpolation on polygons. Zbl 1398.65019
Beatson, Rick; Floater, Michael S.; Kåshagen, Carl Emil
1
2018
Rolling normal filtering for point clouds. Zbl 06892776
Zheng, Yinglong; Li, Guiqing; Xu, Xuemiao; Wu, Shihao; Nie, Yongwei
1
2018
Fast and robust Hausdorff distance computation from triangle mesh to quad mesh in near-zero cases. Zbl 06892781
Kang, Yunku; Kyung, Min-Ho; Yoon, Seung-Hyun; Kim, Myung-Soo
1
2018
Accelerated robust Boolean operations based on hybrid representations. Zbl 06892784
Sheng, Bin; Liu, Bowen; Li, Ping; Fu, Hongbo; Ma, Lizhuang; Wu, Enhua
1
2018
Jointly learning shape descriptors and their correspondence via deep triplet cnns. Zbl 06892788
Chen, Mingjia; Wang, Changbo; Qin, Hong
1
2018
Crossing knot lines in composition of freeform B-spline geometry. Zbl 06892790
van Sosin, Boris; Elber, Gershon
1
2018
Function representation based slicer for 3D printing. Zbl 06892795
Song, Yanzhi; Yang, Zhouwang; Liu, Yuan; Deng, Jiansong
1
2018
Functional data approximation on bounded domains using polygonal finite elements. Zbl 1441.65018
Cao, Juan; Xiao, Yanyang; Chen, Zhonggui; Wang, Wenping; Bajaj, Chandrajit
1
2018
Kinematic generation of Darboux cyclides. Zbl 1439.53014
Lubbes, Niels; Schicho, Josef
1
2018
Spline surface fitting using normal data and norm-like functions. Zbl 07003477
Seiler, Agnes; Großmann, David; Jüttler, Bert
1
2018
New algorithm to find isoptic surfaces of polyhedral meshes. Zbl 07003480
Nagy, Ferenc; Kunkli, Roland; Hoffmann, Miklós
1
2018
Contour curves and isophotes on rational ruled surfaces. Zbl 07038566
Vršek, Jan
1
2018
\(C^{1}\) and \(C^{2}\) interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames. Zbl 07038572
Moon, Hwan Pyo; Farouki, Rida T.
1
2018
Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes. Zbl 07038573
Conti, Costanza; Dyn, Nira
1
2018
Path planning with divergence-based distance functions. Zbl 07038576
Chen, Renjie; Gotsman, Craig; Hormann, Kai
1
2018
A note on zeros of univariate scalar Bernstein polynomials. Zbl 07038577
Machchhar, Jinesh; Elber, Gershon
1
2018
Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations. Zbl 1366.65106
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
16
2017
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Cited by 5,152 Authors

94 Farouki, Rida T.
75 Jüttler, Bert
65 Peña, Juan Manuel
50 Manni, Carla
50 Mazure, Marie-Laurence
48 Wang, Guozhao
44 Chen, Falai
44 Peters, Jorg
43 Goldman, Ron N.
42 Wang, Guojin
41 Romani, Lucia
41 Speleers, Hendrik
37 Sendra, Juan Rafael
36 Floater, Michael S.
35 Deng, Jiansong
35 Han, Xuli
34 Hughes, Thomas J. R.
33 Carnicer, Jésus Miguel
33 Conti, Costanza
33 Mustafa, Ghulam
33 Pottmann, Helmut
32 Sederberg, Thomas W.
31 Dyn, Nira
31 Giannelli, Carlotta
30 Pérez-Díaz, Sonia
29 Alcazar, Juan Gerardo
29 Schumaker, Larry L.
28 Lávička, Miroslav
27 Sestini, Alessandra
24 Žagar, Emil
23 Deng, Chongyang
23 Krajnc, Marjeta
23 Lu, Lizheng
23 Mourrain, Bernard
23 Xu, Guoliang
23 Zhu, Chungang
22 Casciola, Giulio
22 Farin, Gerald E.
22 Meek, Dereck S.
22 Vitrih, Vito
21 Ait-Haddou, Rachid
21 Beccari, Carolina Vittoria
21 Delgado, Jorge F. M.
21 Kosinka, Jiří
21 Siddiqi, Shahid Saeed
21 Šír, Zbyněk
21 Wang, Renhong
20 Karčiauskas, Kęstutis
20 Wang, Wenping
20 Xu, Gang
19 Duan, Qi
19 Goodman, Timothy N. T.
19 Lai, Mingjun
19 Lavery, John E.
19 Ma, Weiyin
19 Reif, Ulrich
19 Sampoli, Maria Lucia
19 Sánchez-Reyes, Javier
19 Schicho, Josef
19 Shen, Liyong
19 Walton, Desmond J.
19 Zheng, Jianmin
19 Zhu, Yuanpeng
18 Ahn, Young Joon
18 Jaklič, Gašper
18 Kozak, Jernej
18 Li, Xin
18 Mainar, Esmeralda
18 Paluszny, Marco
18 Sabin, Malcolm A.
18 Sbibih, Driss
18 Zhang, Yongjie Jessica
17 Costantini, Paolo Giuseppe
17 Han, Chang Yong
17 Hussain, Malik Zawwar
17 Kim, Taewan
17 Lyche, Tom
17 Monterde, Juan
17 Pelosi, Francesca
17 Rabczuk, Timon
17 Sakkalis, Takis
17 Scott, Michael A.
17 Tan, Jieqing
16 Bajaj, Chandrajit L.
16 Bracco, Cesare
16 Busé, Laurent
16 Hsu, Ming-Chen
16 Hu, Gang
16 Jiang, Qingtang
16 Peters, Thomas J.
16 Plaza, Ángel
16 Vršek, Jan
16 Winkler, Joab R.
16 Woźny, Paweł
15 Elber, Gershon
15 Lin, Hongwei
15 Pasadas, Miguel
15 Rababah, Abedallah
15 Reali, Alessandro
15 Rehan, Kashif
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Cited in 436 Journals

1,343 Computer Aided Geometric Design
408 Journal of Computational and Applied Mathematics
263 Computer Methods in Applied Mechanics and Engineering
194 Applied Mathematics and Computation
116 Journal of Symbolic Computation
102 Advances in Computational Mathematics
101 Computers & Mathematics with Applications
92 Numerical Algorithms
73 Journal of Approximation Theory
59 International Journal for Numerical Methods in Engineering
52 Journal of Computational Physics
50 Applied Numerical Mathematics
48 BIT
47 International Journal of Computer Mathematics
43 Mathematics of Computation
43 Mathematics and Computers in Simulation
43 Constructive Approximation
41 Computing
41 Applied Mathematics. Series B (English Edition)
39 Numerische Mathematik
34 International Journal of Computational Geometry & Applications
34 Computational Geometry
34 Mathematical Problems in Engineering
32 Discrete & Computational Geometry
31 Linear Algebra and its Applications
30 Computational Mechanics
30 Journal of Zhejiang University. Science A
29 International Journal of Shape Modeling
27 Computational and Applied Mathematics
24 Journal of Mathematical Analysis and Applications
24 Applied Mathematical Modelling
24 Journal of Systems Science and Complexity
23 Journal of Scientific Computing
22 Theoretical Computer Science
21 Mathematical and Computer Modelling
21 SIAM Journal on Scientific Computing
21 Engineering Analysis with Boundary Elements
19 Journal of Mathematical Imaging and Vision
18 ACM Transactions on Graphics
17 Journal of Applied Mathematics
16 Journal of Geometry
16 Journal of Computer Science and Technology
16 Applied and Computational Harmonic Analysis
16 Mathematics in Computer Science
15 Results in Mathematics
15 RAIRO. Modélisation Mathématique et Analyse Numérique
15 Applied Mathematics Letters
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Journal of Algebra
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
13 Communications in Mathematics and Statistics
12 Pattern Recognition
12 Foundations of Computational Mathematics
11 International Journal of Wavelets, Multiresolution and Information Processing
11 Mediterranean Journal of Mathematics
11 SIAM Journal on Imaging Sciences
10 Rocky Mountain Journal of Mathematics
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10 SIAM Journal on Numerical Analysis
9 Discrete Applied Mathematics
9 Calcolo
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9 Science in China. Series F
8 Chaos, Solitons and Fractals
8 Transactions of the American Mathematical Society
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7 Computers and Fluids
7 Information Sciences
7 Advances in Applied Mathematics
7 Algorithmica
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7 Communications in Numerical Methods in Engineering
7 Engineering Computations
7 Symmetry
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6 Mathematical Methods in the Applied Sciences
6 Monatshefte für Mathematik
6 Acta Applicandae Mathematicae
6 The Visual Computer
6 Engineering with Computers
6 International Journal of Algebra and Computation
6 Journal of Algebra and its Applications
6 International Journal of Geometric Methods in Modern Physics
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 International Journal for Numerical Methods in Biomedical Engineering
6 S\(\vec{\text{e}}\)MA Journal
6 SMAI Journal of Computational Mathematics
5 Biological Cybernetics
5 Bulletin of the Australian Mathematical Society
5 Information Processing Letters
5 Beiträge zur Algebra und Geometrie
5 Journal of Optimization Theory and Applications
5 Proceedings of the American Mathematical Society
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