## 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.
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### 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
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### 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)

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1,476 Publications have been cited 14,355 times in 5,286 Documents Cited by Year
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1987
A survey of curve and surface methods in CAGD. Zbl 0604.65005
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1984
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
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2012
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
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2013
Mean value coordinates. Zbl 1069.65553
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Blossoms are polar forms. Zbl 0705.65008
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Algorithms for polynomials in Bernstein form. Zbl 0648.65007
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1988
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
1987
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
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.
2012
C-curves: An extension of cubic curves. Zbl 0900.68405
Zhang, Jiwen
1996
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
2012
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
1995
An interpolating 4-point $$C^2$$ ternary stationary subdivision scheme. Zbl 0984.68167
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2002
The conformal map $$z\to z^ 2$$ of the hodograph plane. Zbl 0806.65005
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1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174
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1998
Parametrization and smooth approximation of surface triangulations. Zbl 0906.68162
Floater, Michael S.
1997
The geometry of Tchebycheffian splines. Zbl 0777.41016
Pottmann, Helmut
1993
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
2005
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
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1995
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
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1997
Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157
Mainar, E.; Peña, J. M.; Sánchez-Reyes, J.
2001
Curve and surface construction using variable degree polynomial splines. Zbl 0938.68128
Costantini, P.
2000
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
2002
Convergence and $$C^1$$ analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
2005
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
1985
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
2009
Improperly parametrized rational curves. Zbl 0594.65006
Sederberg, Thomas W.
1986
An algebraic approach to curves and surfaces on the sphere and on other quadrics. Zbl 0781.65009
Dietz, Roland; Hoschek, Josef; Jüttler, Bert
1993
Analytic properties of plane offset curves. Zbl 0718.53003
Farouki, R. T.; Neff, C. A.
1990
Tracing surface intersections. Zbl 0659.65012
Bajaj, C. L.; Hoffmann, C. M.; Lynch, R. E.; Hopcroft, J. E. H.
1988
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
2007
A class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
2003
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
1990
Totally positive bases for shape preserving curve design and optimality of $$B$$-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
1994
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
2005
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
1998
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
1999
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
2002
The $$\mu$$-basis of a rational ruled surface. Zbl 0972.68158
Chen, F.; Zheng, J.; Sederberg, T. W.
2001
A subdivision scheme for surfaces of revolution. Zbl 0970.68177
Morin, G.; Warren, J.; Weimer, H.
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
2008
Analysis-suitable $$G^1$$ multi-patch parametrizations for $$C^1$$ isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
2016
An interpolating 4-point $$C^{2}$$ ternary non-stationary subdivision scheme with tension control. Zbl 1171.65326
Beccari, C.; Casciola, G.; Romani, L.
2007
Applications of Laguerre geometry in CAGD. Zbl 0996.65018
Pottmann, Helmut; Peternell, Martin
1998
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
1995
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
1996
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
2004
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
1990
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
1991
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
1999
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
2001
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
1993
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
1997
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
2010
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
1984
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
1988
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
2008
4–8 Subdivision. Zbl 0969.68157
Velho, L.; Zorin, D.
2001
Two moving coordinate frames for sweeping along a 3D trajectory. Zbl 0631.65145
Klok, Fopke
1986
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
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.
1999
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
2004
Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves. Zbl 0655.65019
Abhyankar, Shreeram S.; Bajaj, Chanderjit L.
1988
Cyclides in computer aided geometric design. Zbl 0712.65008
Pratt, M. J.
1990
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
2002
Matched $$G^k$$-constructions always yield $$C^k$$-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
2015
Harmonic rational Bézier curves, $$p$$-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
1998
Properties of $$n$$-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
1986
Tracing index of rational curve parametrizations. Zbl 0983.68224
Sendra, J. R.; Winkler, F.
2001
Two different forms of C-B-splines. Zbl 0900.68418
Zhang, Jiwen
1997
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
2004
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
1985
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
2010
A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155
Zorin, D.; Schröder, P.
2001
Polynomial generation and quasi-interpolation in stationary non-uniform subdivision. Zbl 1069.41503
Levin, A.
2003
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Zbl 1069.65551
Farouki, Rida T.; Han, Chang Yong
2003
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
1986
Surface algorithms using bounds on derivatives. Zbl 0632.65013
Filip, Daniel; Magedson, Robert; Markot, Robert
1986
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
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.
1984
Multivariate normalized Powell-Sabin $$B$$-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
2013
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
2005
An $$O(h^{2n})$$ Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
1997
Surfaces over Dirichlet tessellations. Zbl 0728.65013
Farin, Gerald
1990
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
1991
Nonexistence of rational rotation-minimizing frames on cubic curves. Zbl 1172.65327
Han, Chang Yong
2008
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
1992
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
2009
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
Real-time CNC interpolators for Pythagorean-hodograph curves. Zbl 0875.68875
Farouki, Rida T.; Shah, Sagar
1996
Local control of interval tension using weighted splines. Zbl 0645.65007
Foley, Thomas A.
1986
Some properties of LR-splines. Zbl 1284.65024
Bressan, Andrea
2013
A general 4th-order PDE method to generate Bézier surfaces from the boundary. Zbl 1083.65014
Monterde, J.; Ugail, H.
2006
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
1993
Bézier surfaces of minimal area: the Dirichlet approach. Zbl 1069.65559
Monterde, J.
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
2004
Unifying C-curves and H-curves by extending the calculation to complex numbers. Zbl 1087.65516
Zhang, Jiwen; Krause, Frank-L.; Zhang, Huaiyu
2005
$$G^ 1$$ interpolation of generally unrestricted cubic Bézier curves. Zbl 0621.65002
Sarraga, Ramon F.
1987
Fairing cubic B-spline curves. Zbl 0644.65007
Farin, G.; Rein, G.; Sapidis, N.; Worsey, A. J.
1987
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision. Zbl 1467.65010
López-Ureña, Sergio; Viscardi, Alberto
2021
$$C^d$$ Hermite interpolations with spatial Pythagorean hodograph B-splines. Zbl 1472.65014
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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
2021
Curvature computations for the intersection curves of hypersurfaces in Euclidean $$n$$-space. Zbl 07337229
Özçetin, B. Merih; Düldül, Mustafa
2021
A sufficient condition for 3D typical curves. Zbl 1470.65024
Tong, Weihua; Chen, Ming
2021
Note on planar Pythagorean hodograph curves of Tschirnhaus type. Zbl 1469.65047
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
2021
A dynamic sampling approach towards computing Voronoi diagram of a set of circles. Zbl 07424068
Mukundan, Manoj Kumar; Muthuganapathy, Ramanathan
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.
2020
The distance function from a real algebraic variety. Zbl 1453.65046
Ottaviani, Giorgio; Sodomaco, Luca
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
2020
NLIGA: a MATLAB framework for nonlinear isogeometric analysis. Zbl 07207280
Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming
2020
Optimal parametric interpolants of circular arcs. Zbl 07207291
Vavpetič, Aleš
2020
Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
2020
A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants. Zbl 1472.65023
Han, Chang Yong; Moon, Hwan Pyo; Kwon, Song-Hwa
2020
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA. Zbl 07200768
Liu, Hao; Yang, Yang; Liu, Yuan; Fu, Xiao-Ming
2020
Local (T)HB-spline projectors via restricted hierarchical spline fitting. Zbl 07207276
Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos
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
2020
Rational motions with generic trajectories of low degree. Zbl 1448.70006
Siegele, J.; Scharler, D. F.; Schröcker, H.-P.
2020
Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
2020
Construction of periodic adapted orthonormal frames on closed space curves. Zbl 1453.65036
Farouki, Rida T.; Kim, Soo Hyun; Moon, Hwan Pyo
2020
Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes. Zbl 07188120
Patrizi, Francesco; Dokken, Tor
2020
Conversion of B-rep CAD models into globally $$G^1$$ triangular splines. Zbl 07188129
Hettinga, Gerben Jan; Kosinka, Jiří
2020
Argyris type quasi-interpolation of optimal approximation order. Zbl 07200760
Grošelj, Jan
2020
Iterative coordinates. Zbl 07200774
Deng, Chongyang; Chang, Qingjun; Hormann, Kai
2020
Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation. Zbl 07207279
Albrecht, Gudrun; Beccari, Carolina Vittoria; Romani, Lucia
2020
Construction of Minkowski Pythagorean hodograph B-spline curves. Zbl 07207286
Bizzarri, Michal; Lávička, Miroslav
2020
Multi-sided Bézier surfaces over curved, multi-connected domains. Zbl 07190757
Várady, Tamás; Salvi, Péter; Vaitkus, Márton; Sipos, Ágoston
2020
Adaptive IGAFEM with optimal convergence rates: T-splines. Zbl 07242739
Gantner, Gregor; Praetorius, Dirk
2020
Extending ball B-spline by B-spline. Zbl 1450.65008
Liu, Xinyue; Wang, Xingce; Wu, Zhongke; Zhang, Dan; Liu, Xiangyuan
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
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
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
2020
Another map from $$\mathbb{P}^7$$ to the study quadric. Zbl 1441.70001
Selig, J. M.
2020
Implicit progressive-iterative approximation for curve and surface reconstruction. Zbl 07188124
Hamza, Yusuf Fatihu; Lin, Hongwei; Li, Zihao
2020
CSIOR: circle-surface intersection ordered resampling. Zbl 07200761
Tortorici, Claudio; Riahi, Mohamed Kamel; Berretti, Stefano; Werghi, Naoufel
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
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
2020
Laplacian-optimized diffusion for semi-supervised learning. Zbl 07200776
Budninskiy, Max; Abdelaziz, Ameera; Tong, Yiying; Desbrun, Mathieu
2020
Four-bar linkages, elliptic functions, and flexible polyhedra. Zbl 07200777
Izmestiev, Ivan
2020
Persistent manifolds of the special Euclidean group SE(3): a review. Zbl 07200778
Wu, Yuanqing; Carricato, Marco
2020
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets. Zbl 07200779
Hormann, Kai; Zheng, Jianmin
2020
Euclidean offset and bisector approximations of curves over freeform surfaces. Zbl 07207271
Elber, Gershon; Kim, Myung-Soo
2020
Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons. Zbl 07207272
Moon, Hwan Pyo; Kim, Soo Hyun; Kwon, Song-Hwa
2020
Spherical interpolatory geometric subdivision schemes. Zbl 07207281
Bellaihou, Mohamed; Ikemakhen, Aziz
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
2020
Dimension of polynomial splines of mixed smoothness on T-meshes. Zbl 07207288
Toshniwal, Deepesh; Villamizar, Nelly
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
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
2020
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
2020
On a progressive and iterative approximation method with memory for least square fitting. Zbl 1450.65019
Huang, Zheng-Da; Wang, Hui-Di
2020
A few conjectures on a four-point interpolatory subdivision scheme. Zbl 1450.65007
Zhang, Ren-Jiang
2020
Handling heterogeneous structures and materials using blending schemes in V-reps. Zbl 1460.65016
Cirillo, Emiliano; Elber, Gershon
2020
Characterizing envelopes of moving rotational cones and applications in CNC machining. Zbl 1467.65015
Skopenkov, Mikhail; Bo, Pengbo; Bartoň, Michael; Pottmann, Helmut
2020
Kinematic interpretation of Darboux cyclides. Zbl 1473.65017
Krasauskas, R.; Zube, S.
2020
An isogeometric $$C^{1}$$ subspace on unstructured multi-patch planar domains. Zbl 1470.65016
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
2019
Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products. Zbl 07137386
Massarwi, Fady; Antolin, Pablo; Elber, Gershon
2019
Offset hypersurfaces and persistent homology of algebraic varieties. Zbl 07137422
2019
The space of $$C^1$$-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. Zbl 1465.65012
Birner, Katharina; Kapl, Mario
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
2019
An in depth analysis, via resultants, of the singularities of a parametric curve. Zbl 1439.14171
Blasco, Angel; Pérez-Díaz, Sonia
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
2019
Arc fibrations of planar domains. Zbl 07137393
Jüttler, Bert; Maroscheck, Sofia; Kim, Myung-Soo; Hong, Q. Youn
2019
Knot calculation for spline fitting based on the unimodality property. Zbl 07137419
Luo, Jiaqi; Kang, Hongmei; Yang, Zhouwang
2019
Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension. Zbl 1470.65018
Toshniwal, Deepesh; Hughes, Thomas J. R.
2019
A Cox-de Boor-type recurrence relation for $$C^1$$ multi-degree splines. Zbl 07137434
Beccari, Carolina Vittoria; Casciola, Giulio
2019
Implicitizing rational surfaces without base points by moving planes and moving quadrics. Zbl 1465.65016
Lai, Yisheng; Chen, Falai; Shi, Xiaoran
2019
A fast numerical solver for local barycentric coordinates. Zbl 1465.65011
Tao, Jiong; Deng, Bailin; Zhang, Juyong
2019
On Lototsky-Bernstein operators and Lototsky-Bernstein bases. Zbl 07038591
Xu, Xiao-Wei; Goldman, Ron
2019
A note on spectral properties of Hermite subdivision operators. Zbl 07038593
Moosmüller, Caroline
2019
Localized G-splines for quad & T-gon meshes. Zbl 07137403
Karčiauskas, Kȩstutis; Peters, Jörg
2019
Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon. Zbl 07137416
Kim, Soo Hyun; Moon, Hwan Pyo
2019
Modified PHT-splines. Zbl 07137418
Ni, Qian; Wang, Xuhui; Deng, Jiansong
2019
A merged tuning of binary and ternary Loop’s subdivision. Zbl 07038595
Donatelli, Marco; Novara, Paola; Romani, Lucia; Serra-Capizzano, Stefano; Sesana, Debora
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
2019
Surface reconstruction by parallel and unified particle-based resampling from point clouds. Zbl 07137389
Zhong, Sikai; Zhong, Zichun; Hua, Jing
2019
A bivariate $$C^1$$ subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
2019
Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines. Zbl 07137400
Qarariyah, Ammar; Yang, Tianhui; Deng, Jiansong
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.
2019
Holes and dependences in an ordered complex. Zbl 07137415
Edelsbrunner, Herbert; Ölsböck, Katharina
2019
Gauss-Lobatto polygon of Pythagorean hodograph curves. Zbl 07137423
Kim, Soo Hyun; Moon, Hwan Pyo
2019
Stochastic isogeometric analysis method for plate structures with random uncertainty. Zbl 07137427
Wang, Wenpei; Chen, Guohai; Yang, Dixiong; Kang, Zhan
2019
Isogeometric analysis with strong multipatch $$C^{1}$$-coupling. Zbl 06892796
Chan, C. L.; Anitescu, C.; Rabczuk, T.
2018
Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition. Zbl 06892777
Xiao, Shiwei; Kang, Hongmei; Fu, Xiao-Ming; Chen, Falai
2018
Low-rank parameterization of planar domains for isogeometric analysis. Zbl 1441.65016
Pan, Maodong; Chen, Falai; Tong, Weihua
2018
Elliptic grid generation techniques in the framework of isogeometric analysis applications. Zbl 07038570
Hinz, J.; Möller, M.; Vuik, C.
2018
Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 07038580
Grošelj, Jan; Speleers, Hendrik
2018
Multisided generalisations of Gregory patches. Zbl 06892786
Hettinga, Gerben J.; Kosinka, Jiří
2018
Counter examples of “class A Bézier curves”. Zbl 06894879
Wang, Aizeng; Zhao, Gang
2018
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
2018
Simplex-splines on the Clough-Tocher element. Zbl 07038571
Lyche, Tom; Merrien, Jean-Louis
2018
P-Bézier and P-Bspline curves – new representations with proximity control. Zbl 06892783
2018
High order approximation to non-smooth multivariate functions. Zbl 1441.41010
Amir, Anat; Levin, David
2018
Interpolation of circular arcs by parametric polynomials of maximal geometric smoothness. Zbl 1441.65030
Knez, Marjeta; Žagar, Emil
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
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
2018
Kinematic generation of Darboux cyclides. Zbl 1439.53014
Lubbes, Niels; Schicho, Josef
2018
$$p$$-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement. Zbl 07038583
Fayolle, Pierre-Alain; Belyaev, Alexander G.
2018
Learnt knot placement in B-spline curve approximation using support vector machines. Zbl 06892782
Laube, Pascal; Franz, Matthias O.; Umlauf, Georg
2018
Exact conversion from Bézier tetrahedra to Bézier hexahedra. Zbl 06892785
Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon
2018
Adaptive Fitting with THB-splines: error analysis and industrial applications. Zbl 06892792
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra
2018
...and 1376 more Documents
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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 ...and 5,473 more Authors
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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 51 Applied Numerical Mathematics 50 International Journal of Computer Mathematics 48 BIT 43 Mathematics of Computation 43 Constructive Approximation 42 Computing 41 Applied Mathematics. Series B (English Edition) 39 Numerische Mathematik 37 Computational Mechanics 37 International Journal of Computational Geometry & Applications 34 Discrete & Computational Geometry 34 Computational Geometry 34 Mathematical Problems in Engineering 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 25 Journal of Systems Science and Complexity 24 Journal of Scientific Computing 24 Journal of Mathematical Imaging and Vision 23 SIAM Journal on Scientific Computing 22 Theoretical Computer Science 21 Mathematical and Computer Modelling 19 ACM Transactions on Graphics 17 Journal of Geometry 17 Applied Mathematics Letters 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Journal of Applied Mathematics 17 Mathematics in Computer Science 16 Results in Mathematics 16 Journal of Computer Science and Technology 16 Applied and Computational Harmonic Analysis 15 RAIRO. Modélisation Mathématique et Analyse Numérique 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 12 International Journal of Wavelets, Multiresolution and Information Processing 12 SIAM Journal on Imaging Sciences 11 Mediterranean Journal of Mathematics 10 Rocky Mountain Journal of Mathematics 10 Journal of Pure and Applied Algebra 10 SIAM Journal on Numerical Analysis 9 Discrete Applied Mathematics 9 Chaos, Solitons and Fractals 9 Calcolo 9 Journal of Mathematical Sciences (New York) 9 Advances in Difference Equations 8 Computers and Fluids 8 Transactions of the American Mathematical Society 8 Advances in Applied Mathematics 8 Japan Journal of Industrial and Applied Mathematics 8 Computational Mathematics and Mathematical Physics 8 Journal of the Egyptian Mathematical Society 8 Journal of Inequalities and Applications 8 Journal of Applied Mathematics and Computing 8 Science in China. Series F 8 Journal of Mathematics 7 Applicable Analysis 7 Information Sciences 7 Algorithmica 7 Journal of Global Optimization 7 Communications in Numerical Methods in Engineering 7 Engineering Computations 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Symmetry 7 Journal of Theoretical Biology 7 International Journal of Applied and Computational Mathematics 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 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 ...and 367 more Journals
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### Cited in 59 Fields

 3,696 Numerical analysis (65-XX) 1,055 Approximations and expansions (41-XX) 949 Computer science (68-XX) 417 Differential geometry (53-XX) 307 Mechanics of deformable solids (74-XX) 303 Algebraic geometry (14-XX) 205 Partial differential equations (35-XX) 149 Fluid mechanics (76-XX) 129 Geometry (51-XX) 121 Convex and discrete geometry (52-XX) 117 Commutative algebra (13-XX) 108 Operations research, mathematical programming (90-XX) 97 Harmonic analysis on Euclidean spaces (42-XX) 80 Biology and other natural sciences (92-XX) 75 Linear and multilinear algebra; matrix theory (15-XX) 61 Information and communication theory, circuits (94-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 56 Statistics (62-XX) 53 Real functions (26-XX) 51 Mechanics of particles and systems (70-XX) 47 Combinatorics (05-XX) 45 Global analysis, analysis on manifolds (58-XX) 44 Ordinary differential equations (34-XX) 43 Special functions (33-XX) 35 Functions of a complex variable (30-XX) 34 Field theory and polynomials (12-XX) 34 Dynamical systems and ergodic theory (37-XX) 34 Manifolds and cell complexes (57-XX) 27 Systems theory; control (93-XX) 26 Number theory (11-XX) 22 Geophysics (86-XX) 21 Measure and integration (28-XX) 21 Probability theory and stochastic processes (60-XX) 21 Optics, electromagnetic theory (78-XX) 20 Algebraic topology (55-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Operator theory (47-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 General and overarching topics; collections (00-XX) 15 Difference and functional equations (39-XX) 15 Functional analysis (46-XX) 13 Several complex variables and analytic spaces (32-XX) 13 Integral equations (45-XX) 11 Potential theory (31-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Associative rings and algebras (16-XX) 9 History and biography (01-XX) 9 General topology (54-XX) 9 Relativity and gravitational theory (83-XX) 6 Quantum theory (81-XX) 6 Mathematics education (97-XX) 5 Sequences, series, summability (40-XX) 4 Integral transforms, operational calculus (44-XX) 3 Mathematical logic and foundations (03-XX) 3 Topological groups, Lie groups (22-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX)