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Computer Aided Geometric Design

Short Title: Comput. Aided Geom. Des.
Publisher: Elsevier (North-Holland), Amsterdam
ISSN: 0167-8396
Online: http://www.sciencedirect.com/science/journal/01678396
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,968 Publications (since 1984)
References Indexed: 1,810 Publications with 40,662 References.
all top 5

Authors

62 Farouki, Rida T.
46 Goldman, Ronald N.
42 Jüttler, Bert
37 Peters, Jorg
32 Sederberg, Thomas W.
28 Pottmann, Helmut
26 Chen, Falai
25 Wang, Wenping
23 Hormann, Kai
23 Lávička, Miroslav
22 Farin, Gerald E.
22 Prautzsch, Hartmut
20 Elber, Gershon
19 Manni, Carla
19 Sánchez-Reyes, Javier
18 Deng, Chongyang
18 Kosinka, Jiří
18 Peña, Juan Manuel
17 Floater, Michael S.
17 Krajnc, Marjeta
17 Schumaker, Larry L.
17 Xu, Guoliang
16 Dyn, Nira
16 Reif, Ulrich
16 Sabin, Malcolm A.
16 Šír, Zbyněk
15 Karčiauskas, Kęstutis
15 Sestini, Alessandra
15 Speleers, Hendrik
15 Wang, Guozhao
15 Zheng, Jianmin
14 Alcazar, Juan Gerardo
14 Bajaj, Chandrajit L.
14 Böhm, Wolfgang
14 Pérez-Díaz, Sonia
14 Romani, Lucia
13 Giannelli, Carlotta
13 Kim, Myung-Soo
13 Sampoli, Maria Lucia
13 Vršek, Jan
12 Bizzarri, Michal
12 Carnicer, Jésus Miguel
12 Deng, Jiansong
12 Dodgson, Neil A.
12 Hamann, Bernd
12 Han, Chang Yong
12 Kwon, Song-Hwa
12 Ma, Weiyin
12 Meek, Dereck S.
12 Žagar, Emil
11 Goodman, Timothy N. T.
11 Jia, Xiaohong
11 Mourrain, Bernard
11 Qin, Hong
11 Wang, Guojin
10 Barnhill, Robert E.
10 Barton, Michael H.
10 Beccari, Carolina Vittoria
10 Gregory, John A.
10 Hagen, Hans-Juergen
10 Hermann, Thomas
10 Lai, Mingjun
10 Lyche, Tom
10 Peternell, Martin
10 Shen, Liyong
10 Tu, Changhe
10 Walton, Desmond J.
9 Ait-Haddou, Rachid
9 Costantini, Paolo Giuseppe
9 Hoschek, Josef
9 Hu, Shimin
9 Lavery, John E.
9 Lee, E. T. Y.
9 Liu, Ligang
9 Maekawa, Takashi
9 Manocha, Dinesh
9 Mazure, Marie-Laurence
9 Polthier, Konrad
9 Seidel, Hans-Peter
9 Sendra, Juan Rafael
9 Várady, Tamás
9 Wang, Xuhui
8 Casciola, Giulio
8 Choi, Hyeong In
8 Degen, Wendelin L. F.
8 Guo, Xiaohu
8 Hartmann, Erich
8 Kaklis, Panagiotis D.
8 Monterde, Juan
8 Patrikalakis, Nicholas M.
8 Sapidis, Nickolas S.
8 Schicho, Josef
8 Wallner, Johannes
8 Worsey, Andrew J.
8 Zhang, Renjiang
7 Albrecht, Gudrun
7 Alfeld, Peter
7 Bastl, Bohumír
7 Conti, Costanza
7 Díaz-Toca, Gema María
...and 1,942 more Authors
all top 5

Fields

1,551 Numerical analysis (65-XX)
522 Computer science (68-XX)
395 Approximations and expansions (41-XX)
133 Differential geometry (53-XX)
71 Algebraic geometry (14-XX)
63 Geometry (51-XX)
25 General and overarching topics; collections (00-XX)
21 Convex and discrete geometry (52-XX)
21 Mechanics of particles and systems (70-XX)
21 Mechanics of deformable solids (74-XX)
19 Information and communication theory, circuits (94-XX)
17 Commutative algebra (13-XX)
13 Biology and other natural sciences (92-XX)
12 History and biography (01-XX)
12 Combinatorics (05-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Fluid mechanics (76-XX)
9 Operations research, mathematical programming (90-XX)
8 Partial differential equations (35-XX)
7 Special functions (33-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Functions of a complex variable (30-XX)
4 Algebraic topology (55-XX)
4 Manifolds and cell complexes (57-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Real functions (26-XX)
2 Several complex variables and analytic spaces (32-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,579 Publications have been cited 16,161 times in 5,917 Documents Cited by Year
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
213
1987
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
206
2012
A survey of curve and surface methods in CAGD. Zbl 0604.65005
Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen
184
1984
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik
160
2013
Mean value coordinates. Zbl 1069.65553
Floater, Michael S.
159
2003
Blossoms are polar forms. Zbl 0705.65008
Ramshaw, Lyle
132
1989
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
109
2012
Algorithms for polynomials in Bernstein form. Zbl 0648.65007
Farouki, R. T.; Rajan, V. T.
108
1988
On linear independence of T-spline blending functions. Zbl 1251.65012
Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A.
105
2012
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
103
1987
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
95
1987
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
95
1995
C-curves: An extension of cubic curves. Zbl 0900.68405
Zhang, Jiwen
89
1996
The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005
Farouki, Rida T.
85
1994
Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162
Floater, Michael S.
84
1997
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
82
2005
An interpolating 4-point \(C^2\) ternary stationary subdivision scheme. Zbl 0984.68167
Hassan, M. F.; Ivrissimitzis, I. P.; Dodgson, N. A.; Sabin, M. A.
80
2002
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
80
1998
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
Dierckx, Paul
73
1997
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
71
1995
The geometry of Tchebycheffian splines. Zbl 0777.41016
Pottmann, Helmut
71
1993
Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157
Mainar, E.; Peña, J. M.; Sánchez-Reyes, J.
66
2001
Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
63
2016
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
60
1985
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
59
2002
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
59
2009
Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
59
2005
Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128
Costantini, P.
58
2000
An algebraic approach to curves and surfaces on the sphere and on other quadrics. Zbl 0781.65009
Dietz, Roland; Hoschek, Josef; Jüttler, Bert
57
1993
Analytic properties of plane offset curves. Zbl 0718.53003
Farouki, R. T.; Neff, C. A.
57
1990
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
55
2005
A class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
54
2003
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
54
2007
Improperly parametrized rational curves. Zbl 0594.65006
Sederberg, Thomas W.
54
1986
Tracing surface intersections. Zbl 0659.65012
Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H.
51
1988
Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
51
1994
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
51
1999
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
49
1990
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
48
2002
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
47
1998
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Zbl 1172.65307
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
46
2008
The \(\mu\)-basis of a rational ruled surface. Zbl 0972.68158
Chen, F.; Zheng, J.; Sederberg, T. W.
45
2001
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
44
1995
Applications of Laguerre geometry in CAGD. Zbl 0996.65018
Pottmann, Helmut; Peternell, Martin
44
1998
A subdivision scheme for surfaces of revolution. Zbl 0970.68177
Morin, G.; Warren, J.; Weimer, H.
43
2001
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
43
1999
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
43
2010
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
41
2004
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
41
2001
An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control. Zbl 1171.65326
Beccari, C.; Casciola, G.; Romani, L.
41
2007
Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
41
2015
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
40
1984
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
39
1991
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
39
1997
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
39
1990
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
39
2005
Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145
Klok, Fopke
38
1986
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
38
2004
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
38
1996
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
38
1993
An \(O(h^{2n})\) Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
38
1997
Harmonic rational Bézier curves, \(p\)-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
38
1998
Refinable \(C^1\) spline elements for irregular quad layout. Zbl 1418.65026
Nguyen, Thien; Peters, Jörg
38
2016
4–8 Subdivision. Zbl 0969.68157
Velho, L.; Zorin, D.
37
2001
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
37
2008
A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155
Zorin, D.; Schröder, P.
36
2001
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
35
1988
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
35
1993
Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon. Zbl 0997.65016
Nairn, D.; Peters, J.; Lutterkort, D.
35
1999
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
35
1991
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
34
1988
Cyclides in computer aided geometric design. Zbl 0712.65008
Pratt, M. J.
34
1990
Tracing index of rational curve parametrizations. Zbl 0983.68224
Sendra, J. R.; Winkler, F.
34
2001
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
34
2002
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
34
2010
Direct immersogeometric fluid flow analysis using B-rep CAD models. Zbl 1418.76042
Hsu, Ming-Chen; Wang, Chenglong; Xu, Fei; Herrema, Austin J.; Krishnamurthy, Adarsh
34
2016
Polynomial generation and quasi-interpolation in stationary non-uniform subdivision. Zbl 1069.41503
Levin, A.
33
2003
Two different forms of C-B-splines. Zbl 0900.68418
Zhang, Jiwen
33
1997
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
33
1996
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
33
2013
A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014
Monterde, J.; Ugail, H.
33
2006
Properties of \(n\)-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
32
1986
Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559
Monterde, J.
32
2004
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
32
2004
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
32
1991
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
32
1991
On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018
Pérez-Díaz, Sonia
32
2006
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
31
1986
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
31
1985
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Zbl 1069.65551
Farouki, Rida T.; Han, Chang Yong
31
2003
On harmonic and biharmonic Bézier surfaces. Zbl 1069.65526
Monterde, J.; Ugail, H.
31
2004
Some properties of LR-splines. Zbl 1284.65024
Bressan, Andrea
31
2013
Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves. Zbl 0571.65114
Goldman, R. N.; Sederberg, T. W.; Anderson, D. C.
31
1984
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
31
2009
An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. Zbl 1470.65016
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
31
2019
Isogeometric analysis with strong multipatch \(C^{1}\)-coupling. Zbl 1505.65050
Chan, C. L.; Anitescu, C.; Rabczuk, T.
31
2018
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
30
1992
Surface algorithms using bounds on derivatives. Zbl 0632.65013
Filip, Daniel; Magedson, Robert; Markot, Robert
30
1986
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
30
2004
Real-time CNC interpolators for Pythagorean-hodograph curves. Zbl 0875.68875
Farouki, Rida T.; Shah, Sagar
30
1996
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
5
2022
Interpolation of planar \(G^1\) data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths. Zbl 07559524
Cigler, Grega; Žagar, Emil
3
2022
Non-uniform interpolatory subdivision schemes with improved smoothness. Zbl 1489.65028
Dyn, Nira; Hormann, Kai; Mancinelli, Claudio
3
2022
A simple formula for the computation of branches and asymptotes of curves and some applications. Zbl 1492.65050
Campo-Montalvo, Elena; de Sevilla, Marián Fernández; Pérez-Díaz, Sonia
3
2022
\(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces. Zbl 1527.65017
Marsala, Michelangelo; Mantzaflaris, Angelos; Mourrain, Bernard
2
2022
Rational framing motions and spatial rational Pythagorean hodograph curves. Zbl 1504.65054
Kalkan, Bahar; Scharler, Daniel F.; Schröcker, Hans-Peter; Šír, Zbyněk
2
2022
Approximation by polynomial splines on curved triangulations. Zbl 1489.65023
Schumaker, Larry L.; Yu, Annan
2
2022
Geometric approximation of the sphere by triangular polynomial spline patches. Zbl 1489.65024
Vavpetič, Aleš; Žagar, Emil
2
2022
\(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis. Zbl 1497.65037
Ji, Ye; Li, Jing-Gai; Yu, Ying-Ying; Zhu, Chun-Gang
2
2022
Characteristic parameterizations of surfaces with a constant ratio of principal curvatures. Zbl 1489.65045
Wang, Hui; Pottmann, Helmut
2
2022
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping. Zbl 1497.65051
Pan, Maodong; Chen, Falai
2
2022
Offsets and front tire tracks to projective hedgehogs. Zbl 1504.52001
Rochera, David
2
2022
Determining the asymptotic family of an implicit curve. Zbl 1506.14116
Campo-Montalvo, E.; de Sevilla, M. Fernández; Benedicto, R. Magdalena; Pérez-Díaz, S.
2
2022
Exact sphere representations over Platonic solids based on rational multisided Bézier patches. Zbl 1501.65006
Grošelj, Jan; Praprotnik, Ada Šadl
2
2022
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics. Zbl 1489.65042
Lai, Yisheng; Chen, Falai; Shi, Xiaoran; Gao, Yu
1
2022
Construction of \(C^1\) polygonal splines over quadrilateral partitions. Zbl 07483501
Lai, Ming-Jun; Lanterman, James
1
2022
Multi-stable design of triangulated origami structures on cones of revolution. Zbl 1493.65042
Nawratil, Georg
1
2022
A unified algebraic framework for fast and precise planar swept volumes and Minkowski sums. Zbl 1496.65030
Machchhar, Jinesh
1
2022
Detection and computation of conservative kernels of models consisting of freeform curves and surfaces, using inequality constraints. Zbl 1489.65040
Hong, Q. Youn; Elber, Gershon
1
2022
Intrinsic mixed-integer polycubes for hexahedral meshing. Zbl 1489.65030
Mandad, Manish; Chen, Ruizhi; Bommes, David; Campen, Marcel
1
2022
Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves. Zbl 1497.65088
Fang, Lincong; Li, Yujun
1
2022
D3AdvM: A direct 3D adversarial sample attack inside mesh data. Zbl 07576581
Xu, Huangxinxin; He, Fazhi; Fan, Linkun; Bai, Junwei
1
2022
Surface patches with rounded corners. Zbl 1497.65039
Marussig, Benjamin; Reif, Ulrich
1
2022
Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization. Zbl 1503.65044
Hruda, Lukáš; Kolingerová, Ivana; Lávička, Miroslav; Maňák, Martin
1
2022
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010
López-Ureña, Sergio; Viscardi, Alberto
4
2021
Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting. Zbl 1470.65019
Yuan, Guan-Jie; Liu, Hao; Su, Jian-Ping; Fu, Xiao-Ming
3
2021
Planar projections of spatial Pythagorean-hodograph curves. Zbl 1480.65044
Farouki, Rida T.; Knez, Marjeta; Vitrih, Vito; Žagar, Emil
2
2021
\(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines. Zbl 1472.65014
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
2
2021
Geometric interpolation of ER frames with \(G^2\) Pythagorean-hodograph curves of degree 7. Zbl 1505.65071
Knez, Marjeta; Sampoli, Maria Lucia
2
2021
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models. Zbl 1480.65055
Ghadai, Sambit; Lee, Xian Yeow; Balu, Aditya; Sarkar, Soumik; Krishnamurthy, Adarsh
1
2021
Affine invariant triangulations. Zbl 1480.65063
Bose, Prosenjit; Cano, Pilar; Silveira, Rodrigo I.
1
2021
Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves. Zbl 1480.65042
Alcázar, Juan Gerardo; Hermoso, Carlos
1
2021
Heterogeneous parametric trivariate fillets. Zbl 1469.65052
Masalha, Ramy; Cirillo, Emiliano; Elber, Gershon
1
2021
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
Representing planar domains by polar parameterizations with parabolic parameter lines. Zbl 1470.65028
Trautner, Sofia; Jüttler, Bert; Kim, Myung-Soo
1
2021
Single-sized spheres on surfaces (S4). Zbl 1469.65050
Lipschütz, Henriette; Skrodzki, Martin; Reitebuch, Ulrich; Polthier, Konrad
1
2021
27 variants of Tutte’s theorem for plane near-triangulations and an application to periodic spline surface fitting. Zbl 1472.65017
Groiss, Lisa; Jüttler, Bert; Mokriš, Dominik
1
2021
Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space. Zbl 1506.65045
Özçetin, B. Merih; Düldül, Mustafa
1
2021
Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis. Zbl 1465.14056
Pérez-Díaz, Sonia; Shen, Li-Yong
1
2021
A dynamic sampling approach towards computing Voronoi diagram of a set of circles. Zbl 1505.65133
Mukundan, Manoj Kumar; Muthuganapathy, Ramanathan
1
2021
Tegula – exploring a galaxy of two-dimensional periodic tilings. Zbl 1505.52022
Zeller, Rüdiger; Delgado-Friedrichs, Olaf; Huson, Daniel H.
1
2021
Multi-sided B-spline surfaces over curved, multi-connected domains. Zbl 1469.65045
Vaitkus, Márton; Várady, Tamás; Salvi, Péter; Sipos, Ágoston
1
2021
Note on planar Pythagorean hodograph curves of Tschirnhaus type. Zbl 1469.65047
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
1
2021
A sufficient condition for 3D typical curves. Zbl 1470.65024
Tong, Weihua; Chen, Ming
1
2021
Morphing of spherical closed curves. Zbl 1506.65038
Ikemakhen, Aziz; Bellaihou, Mohamed; Ahanchaou, Taoufik
1
2021
A simple and complete discrete exterior calculus on general polygonal meshes. Zbl 1469.65055
Ptáčková, Lenka; Velho, Luiz
1
2021
New shape control tools for rational Bézier curve design. Zbl 1472.65024
Ramanantoanina, Andriamahenina; Hormann, Kai
1
2021
Streaming Hermite interpolation using cubic splinelets. Zbl 1469.65040
Dębski, Roman
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.
14
2020
Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
9
2020
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 1505.65105
Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica
9
2020
Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation. Zbl 1505.65042
Albrecht, Gudrun; Beccari, Carolina Vittoria; Romani, Lucia
9
2020
The distance function from a real algebraic variety. Zbl 1453.65046
Ottaviani, Giorgio; Sodomaco, Luca
9
2020
Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes. Zbl 1505.65034
Patrizi, Francesco; Dokken, Tor
7
2020
Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. Zbl 1505.74175
Ummidivarapu, Vinay K.; Voruganti, Hari K.; Khajah, Tahsin; Bordas, Stéphane Pierre Alain
7
2020
Optimal parametric interpolants of circular arcs. Zbl 1505.65099
Vavpetič, Aleš
7
2020
A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants. Zbl 1472.65023
Han, Chang Yong; Moon, Hwan Pyo; Kwon, Song-Hwa
6
2020
Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 1506.65042
Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston
6
2020
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 1505.65077
Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming
6
2020
Local (T)HB-spline projectors via restricted hierarchical spline fitting. Zbl 1506.65028
Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos
6
2020
NLIGA: a MATLAB framework for nonlinear isogeometric analysis. Zbl 1505.65001
Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming
6
2020
Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
5
2020
Conversion of B-rep CAD models into globally \(G^1\) triangular splines. Zbl 1505.65062
Hettinga, Gerben Jan; Kosinka, Jiří
5
2020
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 1506.65209
Gantner, Gregor; Praetorius, Dirk
5
2020
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
4
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
4
2020
Mapping rational rotation-minimizing frames from polynomial curves on to rational curves. Zbl 1505.65056
Farouki, Rida T.; Šír, Zbyněk
3
2020
On the application of polygonal finite element method for Stokes flow – a comparison between equal order and different order approximation. Zbl 1505.65295
Natarajan, Sundararajan
3
2020
Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons. Zbl 1505.65084
Moon, Hwan Pyo; Kim, Soo Hyun; Kwon, Song-Hwa
3
2020
Classification of planar Pythagorean hodograph curves. Zbl 1505.65091
Šír, Zbyněk
3
2020
Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 1505.65080
Mainar, E.; Peña, J. M.; Rubio, B.
3
2020
Low degree splines for locally quad-dominant meshes. Zbl 1460.65013
Karčiauskas, Kȩstutis; Peters, Jörg
3
2020
Rational motions with generic trajectories of low degree. Zbl 1448.70006
Siegele, J.; Scharler, D. F.; Schröcker, H.-P.
2
2020
An \(h\)-adaptive meshfree-enriched finite element method based on convex approximations for the three-dimensional ductile crack propagation simulation. Zbl 1440.65153
Ren, Bo; Wu, C. T.; Lyu, Dandan
2
2020
Construction of periodic adapted orthonormal frames on closed space curves. Zbl 1453.65036
Farouki, Rida T.; Kim, Soo Hyun; Moon, Hwan Pyo
2
2020
Argyris type quasi-interpolation of optimal approximation order. Zbl 1505.65025
Grošelj, Jan
2
2020
Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches. Zbl 1505.65115
Zhu, Xuefeng; Ji, Ye; Zhu, Chungang; Hu, Ping; Ma, Zheng-Dong
2
2020
Iterative coordinates. Zbl 1505.65120
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
2
2020
Four-bar linkages, elliptic functions, and flexible polyhedra. Zbl 1505.05114
Izmestiev, Ivan
2
2020
Construction of Minkowski Pythagorean hodograph B-spline curves. Zbl 1505.65046
Bizzarri, Michal; Lávička, Miroslav
2
2020
Dimension of polynomial splines of mixed smoothness on T-meshes. Zbl 1506.65032
Toshniwal, Deepesh; Villamizar, Nelly
2
2020
Smooth polar caps for locally quad-dominant meshes. Zbl 1505.65066
Karčiauskas, Kȩstutis; Peters, Jörg
2
2020
Characterizing envelopes of moving rotational cones and applications in CNC machining. Zbl 1467.65015
Skopenkov, Mikhail; Bo, Pengbo; Bartoň, Michael; Pottmann, Helmut
2
2020
Extending ball B-spline by B-spline. Zbl 1450.65008
Liu, Xinyue; Wang, Xingce; Wu, Zhongke; Zhang, Dan; Liu, Xiangyuan
2
2020
On a progressive and iterative approximation method with memory for least square fitting. Zbl 1450.65019
Huang, Zheng-Da; Wang, Hui-Di
2
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
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 1505.65061
Hamza, Yusuf Fatihu; Lin, Hongwei; Li, Zihao
1
2020
CSIOR: circle-surface intersection ordered resampling. Zbl 1505.65098
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 1505.65041
Ait-Haddou, Rachid; Beccari, Carolina Vittoria; Mazure, Marie-Laurence
1
2020
Spline surfaces with \(C^1\) quintic PH isoparametric curves. Zbl 1505.65070
Knez, Marjeta; Pelosi, Francesca; Sampoli, Maria Lucia
1
2020
Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models. Zbl 1506.65046
Wang, Pengfei; Xin, Shiqing; Tu, Changhe; Yan, Dongming; Zhou, Yuanfeng; Zhang, Caiming
1
2020
\(h\)-Bernstein basis functions over a triangular domain. Zbl 1505.65072
Lamberti, P.; Lamnii, M.; Remogna, S.; Sbibih, D.
1
2020
Ambiguous tiling. Zbl 1505.52021
Sugihara, Kokichi
1
2020
Robust atlas generation via angle-based segmentation. Zbl 1508.68394
Zhang, Chi; Xu, Mao-Feng; Chai, Shuangming; Fu, Xiao-Ming
1
2020
Numerical roadmap of smooth bounded real algebraic surface. Zbl 1512.14034
Chen, Changbo; Wu, Wenyuan; Feng, Yong
1
2020
LRC-Net: learning discriminative features on point clouds by encoding local region contexts. Zbl 1505.94004
Liu, Xinhai; Han, Zhizhong; Hong, Fangzhou; Liu, Yu-Shen; Zwicker, Matthias
1
2020
Laplacian-optimized diffusion for semi-supervised learning. Zbl 1508.68281
Budninskiy, Max; Abdelaziz, Ameera; Tong, Yiying; Desbrun, Mathieu
1
2020
Persistent manifolds of the special Euclidean group \(\mathrm{SE}(3)\): a review. Zbl 1505.70002
Wu, Yuanqing; Carricato, Marco
1
2020
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Cited by 6,393 Authors

100 Farouki, Rida T.
90 Jüttler, Bert
72 Peña, Juan Manuel
66 Goldman, Ronald N.
56 Manni, Carla
51 Chen, Falai
51 Mazure, Marie-Laurence
50 Speleers, Hendrik
49 Romani, Lucia
48 Wang, Guozhao
46 Peters, Jorg
45 Hughes, Thomas J. R.
41 Krajnc, Marjeta
41 Wang, Guojin
41 Zhang, Yongjie Jessica
40 Pérez-Díaz, Sonia
39 Sendra, Juan Rafael
38 Conti, Costanza
38 Floater, Michael S.
38 Giannelli, Carlotta
38 Han, Xuli
38 Mustafa, Ghulam
36 Alcazar, Juan Gerardo
36 Deng, Jiansong
36 Pottmann, Helmut
34 Carnicer, Jésus Miguel
34 Dyn, Nira
33 Lávička, Miroslav
33 Sederberg, Thomas W.
32 Zhu, Chungang
31 Schumaker, Larry L.
30 Sestini, Alessandra
30 Žagar, Emil
28 Li, Xin
28 Mourrain, Bernard
26 Šír, Zbyněk
26 Vitrih, Vito
25 Hu, Gang
25 Xu, Guoliang
25 Zhu, Yuanpeng
24 Casciola, Giulio
24 Delgado, Jorge F. M.
24 Deng, Chongyang
24 Lu, Lizheng
24 Shen, Liyong
23 Sampoli, Maria Lucia
23 Schicho, Josef
22 Ait-Haddou, Rachid
22 Bajaj, Chandrajit L.
22 Farin, Gerald E.
22 Kosinka, Jiří
22 Levin, David N.
22 Mainar, Esmeralda
22 Meek, Dereck S.
22 Reif, Ulrich
22 Wang, Renhong
22 Xu, Gang
21 Beccari, Carolina Vittoria
21 Buffa, Annalisa
21 Karčiauskas, Kęstutis
21 Lamnii, Abdellah
21 Ma, Weiyin
21 Pelosi, Francesca
21 Rabczuk, Timon
21 Sánchez-Reyes, Javier
21 Siddiqi, Shahid Saeed
21 Wang, Wenping
21 Wei, Xiaodong
20 Ahn, Young Joon
20 Bracco, Cesare
20 Hsu, Ming-Chen
20 Lai, Mingjun
20 Lyche, Tom
20 Reali, Alessandro
20 Vršek, Jan
20 Zidna, Ahmed
19 Bizzarri, Michal
19 Busé, Laurent
19 Duan, Qi
19 Goodman, Timothy N. T.
19 Jaklič, Gašper
19 Kapl, Mario
19 Kozak, Jernej
19 Lavery, John E.
19 Monterde, Juan
19 Paluszny, Marco
19 Sabin, Malcolm A.
19 Sbibih, Driss
19 Scott, Michael A.
19 Walton, Desmond J.
19 Zheng, Hongchan
19 Zheng, Jianmin
18 Amat Plata, Sergio
18 Han, Chang Yong
18 Remogna, Sara
18 Toshniwal, Deepesh
17 Costantini, Paolo Giuseppe
17 Elber, Gershon
17 Hussain, Malik Zawwar
17 Kim, Taewan
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Cited in 516 Journals

1,429 Computer Aided Geometric Design
451 Journal of Computational and Applied Mathematics
381 Computer Methods in Applied Mechanics and Engineering
216 Applied Mathematics and Computation
128 Journal of Symbolic Computation
119 Computers & Mathematics with Applications
113 Advances in Computational Mathematics
99 Numerical Algorithms
88 Journal of Computational Physics
77 Journal of Approximation Theory
60 International Journal for Numerical Methods in Engineering
59 Mathematics and Computers in Simulation
53 Applied Numerical Mathematics
51 International Journal of Computer Mathematics
50 BIT
48 Mathematics of Computation
45 Constructive Approximation
44 Computational Mechanics
43 Numerische Mathematik
42 Computing
42 Applied Mathematics. Series B (English Edition)
38 Discrete & Computational Geometry
38 International Journal of Computational Geometry & Applications
37 Mathematical Problems in Engineering
36 Computational and Applied Mathematics
35 Computational Geometry
34 Linear Algebra and its Applications
33 Journal of Scientific Computing
32 Engineering Analysis with Boundary Elements
31 Applied Mathematical Modelling
30 Journal of Zhejiang University. Science A
29 International Journal of Shape Modeling
28 Journal of Mathematical Analysis and Applications
28 Journal of Mathematical Imaging and Vision
28 SIAM Journal on Scientific Computing
28 Journal of Systems Science and Complexity
22 Theoretical Computer Science
22 Mathematical and Computer Modelling
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
19 Journal of Geometry
19 ACM Transactions on Graphics
18 Results in Mathematics
18 Applied Mathematics Letters
18 Communications in Mathematics and Statistics
17 Applied and Computational Harmonic Analysis
17 Journal of Applied Mathematics
17 Mathematics in Computer Science
16 Journal of Algebra
16 Journal of Computer Science and Technology
15 RAIRO. Modélisation Mathématique et Analyse Numérique
15 Advances in Applied Clifford Algebras
15 SIAM Journal on Imaging Sciences
14 Abstract and Applied Analysis
14 Foundations of Computational Mathematics
14 Advances in Difference Equations
13 International Journal of Production Research
13 Applicable Algebra in Engineering, Communication and Computing
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Pattern Recognition
12 International Journal of Wavelets, Multiresolution and Information Processing
12 Mediterranean Journal of Mathematics
11 SIAM Journal on Numerical Analysis
11 Advances in Applied Mathematics
11 Computational Mathematics and Mathematical Physics
11 AIMS Mathematics
10 Discrete Applied Mathematics
10 Rocky Mountain Journal of Mathematics
10 Calcolo
10 Journal of Pure and Applied Algebra
10 Journal of Mathematical Sciences (New York)
10 Boletim da Sociedade Paranaense de Matemática. Terceira Série
9 Chaos, Solitons and Fractals
9 Japan Journal of Industrial and Applied Mathematics
9 Journal of Inequalities and Applications
8 Computers and Fluids
8 Mathematical Methods in the Applied Sciences
8 Information Sciences
8 Transactions of the American Mathematical Society
8 Journal of Global Optimization
8 Journal of the Egyptian Mathematical Society
8 Journal of Applied Mathematics and Computing
8 Science in China. Series F
8 Journal of Mathematics
7 Applicable Analysis
7 Beiträge zur Algebra und Geometrie
7 Journal of Optimization Theory and Applications
7 Acta Applicandae Mathematicae
7 Algorithmica
7 Communications in Numerical Methods in Engineering
7 Computing and Visualization in Science
7 European Journal of Mechanics. A. Solids
7 Engineering Computations
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Symmetry
7 Journal of Theoretical Biology
7 International Journal of Applied and Computational Mathematics
7 SIAM Journal on Applied Algebra and Geometry
7 SMAI Journal of Computational Mathematics
6 Journal of Geometry and Physics
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Cited in 60 Fields

4,116 Numerical analysis (65-XX)
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