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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: 1,855 Publications (since 1984) References Indexed: 1,699 Publications with 36,893 References.
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#### 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 Manni, Carla 18 Elber, Gershon 18 Lávička, Miroslav 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 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 Romani, Lucia 12 Sampoli, Maria Lucia 11 Goodman, Timothy N. T. 11 Krajnc, Marjeta 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 Han, Chang Yong 10 Jia, Xiaohong 10 Kwon, Song-Hwa 10 Lyche, Tom 10 Mourrain, Bernard 10 Peternell, Martin 10 Tu, Changhe 10 Walton, Desmond J. 9 Ait-Haddou, Rachid 9 Hoschek, Josef 9 Hu, Shimin 9 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 Vršek, Jan 9 Wang, Xuhui 9 Žagar, Emil 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 Várady, Tamás 8 Wallner, Johannes 8 Worsey, Andrew J. 7 Alfeld, Peter 7 Barton, Michael H. 7 Bastl, Bohumír 7 Bizzarri, Michal 7 Conti, Costanza 7 Dierckx, Paul 7 Foley, Thomas A. ...and 1,785 more Authors
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#### Fields

 1,456 Numerical analysis (65-XX) 458 Computer science (68-XX) 365 Approximations and expansions (41-XX) 123 Differential geometry (53-XX) 60 Geometry (51-XX) 59 Algebraic geometry (14-XX) 24 General and overarching topics; collections (00-XX) 18 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 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of deformable solids (74-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)

#### Citations contained in zbMATH Open

1,358 Publications have been cited 13,354 times in 4,934 Documents Cited by Year
A 4-point interpolatory subdivision scheme for curve design. Zbl 0638.65009
Dyn, Nira; Levin, David; Gregory, John A.
1987
A survey of curve and surface methods in CAGD. Zbl 0604.65005
Böhm, Wolfgang; Farin, Gerald; Kahmann, Jürgen
1984
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
2012
Polynomial splines over locally refined box-partitions. Zbl 1264.41011
Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik
2013
Mean value coordinates. Zbl 1069.65553
Floater, Michael S.
2003
Blossoms are polar forms. Zbl 0705.65008
Ramshaw, Lyle
1989
Algorithms for polynomials in Bernstein form. Zbl 0648.65007
Farouki, R. T.; Rajan, V. T.
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
Rational curves and surfaces with rational offsets. Zbl 0872.65011
Pottmann, Helmut
1995
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
2012
The conformal map $$z\to z^ 2$$ of the hodograph plane. Zbl 0806.65005
Farouki, Rida T.
1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
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.
2002
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
A unified approach to subdivision algorithms near extraordinary vertices. Zbl 0872.65007
Reif, Ulrich
1995
On calculating normalized Powell-Sabin B-splines. Zbl 0894.68152
Dierckx, Paul
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
Surfaces in computer aided geometric design: A survey with new results. Zbl 0597.65001
Barnhill, R. E.
1985
Convergence and $$C^1$$ analysis of subdivision schemes on manifolds by proximity. Zbl 1083.65023
Wallner, Johannes; Dyn, Nira
2005
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 class of Bézier-like curves. Zbl 1069.65514
Chen, Qinyu; Wang, Guozhao
2003
Totally positive bases for shape preserving curve design and optimality of $$B$$-splines. Zbl 0827.65018
Carnicer, J. M.; Peña, J. M.
1994
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. Zbl 1205.65094
Martin, T.; Cohen, E.; Kirby, R. M.
2009
A Laguerre geometric approach to rational offsets. Zbl 0903.68190
Peternell, Martin; Pottmann, Helmut
1998
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics. Zbl 1171.65325
Beccari, C.; Casciola, G.; Romani, L.
2007
Curvature formulas for implicit curves and surfaces. Zbl 1084.53004
Goldman, Ron
2005
Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011
Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
1990
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. Zbl 1043.53005
Choi, Hyeong In; Han, Chang Yong
2002
Mean value coordinates in 3D. Zbl 1080.52010
Floater, Michael S.; Kós, Géza; Reimers, Martin
2005
Discrete Coons patches. Zbl 0997.65033
Farin, Gerald; Hansford, Dianne
1999
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
Degree reduction of Bézier curves. Zbl 0786.65016
Eck, Matthias
1993
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
1996
Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417
Penã, J. M.
1997
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
1990
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
2001
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
Minkowski Pythagorean hodographs. Zbl 0997.65023
Moon, Hwan Pyo
1999
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
2010
Approximation of circular arcs by cubic polynomials. Zbl 0756.41009
Goldapp, Michael
1991
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere. Zbl 0873.55007
Delfinado, Cecil Jose A.; Edelsbrunner, Herbert
1995
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
2008
Chebyshev economization for parametric surfaces. Zbl 0709.65012
Lachance, Michael A.
1988
Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon. Zbl 0997.65016
Nairn, D.; Peters, J.; Lutterkort, D.
1999
Cubic trigonometric polynomial curves with a shape parameter. Zbl 1069.42500
Han, Xuli
2004
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
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
A trivariate Clough-Tocher scheme for tetrahedral data. Zbl 0566.65003
Alfeld, Peter
1984
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
Curvature continuous curves and surfaces. Zbl 0645.53002
Boehm, Wolfgang
1985
Properties of $$n$$-dimensional triangulations. Zbl 0624.65018
Lawson, Charles L.
1986
Shape preserving properties of the generalised Ball basis. Zbl 0729.65006
Goodman, T. N. T.; Said, H. B.
1991
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
Nuat B-spline curves. Zbl 1069.41510
Wang, Guozhao; Chen, Qinyu; Zhou, Minghua
2004
Discrete Laplace-Beltrami operators and their convergence. Zbl 1069.58500
Xu, Guoliang
2004
A unified framework for primal/dual quadrilateral subdivision schemes. Zbl 0969.68155
Zorin, D.; Schröder, P.
2001
Harmonic rational Bézier curves, $$p$$-Bézier curves and trigonometric polynomials. Zbl 0947.68152
Sánchez-Reyes, Javier
1998
Surface algorithms using bounds on derivatives. Zbl 0632.65013
Filip, Daniel; Magedson, Robert; Markot, Robert
1986
Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves. Zbl 0571.65114
Goldman, R. N.; Sederberg, T. W.; Anderson, D. C.
1984
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
1991
Quadratic trigonometric polynomial curves with a shape parameter. Zbl 0998.68187
Han, Xuli
2002
Quasi-interpolation in isogeometric analysis based on generalized B-splines. Zbl 1205.65049
Costantini, Paolo; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
2010
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. Zbl 1205.65110
Woźny, Paweł; Lewanowicz, Stanisław
2009
An $$O(h^{2n})$$ Hermite approximation for conic sections. Zbl 0906.68153
Floater, Michael S.
1997
Derivatives of rational Bézier curves. Zbl 0760.65013
Floater, M. S.
1992
Real-time CNC interpolators for Pythagorean-hodograph curves. Zbl 0875.68875
Farouki, Rida T.; Shah, Sagar
1996
Nonexistence of rational rotation-minimizing frames on cubic curves. Zbl 1172.65327
Han, Chang Yong
2008
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
1986
Surfaces over Dirichlet tessellations. Zbl 0728.65013
Farin, Gerald
1990
Computation of the solutions of nonlinear polynomial systems. Zbl 0817.65035
Sherbrooke, Evan C.; Patrikalakis, Nicholas M.
1993
Estimating differential quantities using polynomial fitting of osculating jets. Zbl 1084.65017
Cazals, F.; Pouget, M.
2005
Analysis-suitable $$G^1$$ multi-patch parametrizations for $$C^1$$ isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
2016
Local control of interval tension using weighted splines. Zbl 0645.65007
Foley, Thomas A.
1986
Matched $$G^k$$-constructions always yield $$C^k$$-continuous isogeometric elements. Zbl 1375.65026
Groisser, David; Peters, Jörg
2015
Multivariate normalized Powell-Sabin $$B$$-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
2013
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
Geometric Hermite interpolation with maximal order and smoothness. Zbl 0875.68880
Höllig, K.; Koch, J.
1996
Fairing cubic B-spline curves. Zbl 0644.65007
Farin, G.; Rein, G.; Sapidis, N.; Worsey, A. J.
1987
Approximate conversion of spline curves. Zbl 0645.65008
Hoschek, Josef
1987
A spline approximation of offset curves. Zbl 0647.65007
Hoschek, Josef
1988
$$G^ 1$$ interpolation of generally unrestricted cubic Bézier curves. Zbl 0621.65002
Sarraga, Ramon F.
1987
Construction of three-dimensional Delaunay triangulations using local transformations. Zbl 0729.65120
Joe, Barry
1991
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
On the problem of proper reparametrization for rational curves and surfaces. Zbl 1102.65018
Pérez-Díaz, Sonia
2006
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
Rational motions with generic trajectories of low degree. Zbl 1448.70006
Siegele, J.; Scharler, D. F.; Schröcker, H.-P.
2020
Construction of periodic adapted orthonormal frames on closed space curves. Zbl 1453.65036
Farouki, Rida T.; Kim, Soo Hyun; Moon, Hwan Pyo
2020
Approximate symmetries of planar algebraic curves with inexact input. Zbl 1436.14097
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
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
Another map from $$\mathbb{P}^7$$ to the study quadric. Zbl 1441.70001
Selig, J. M.
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
Handling heterogeneous structures and materials using blending schemes in V-reps. Zbl 1460.65016
Cirillo, Emiliano; Elber, Gershon
2020
An in depth analysis, via resultants, of the singularities of a parametric curve. Zbl 1439.14171
Blasco, Angel; Pérez-Díaz, Sonia
2019
A bivariate $$C^1$$ subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
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
Low-rank parameterization of planar domains for isogeometric analysis. Zbl 1441.65016
Pan, Maodong; Chen, Falai; Tong, Weihua
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
Symmetric four-directional bivariate pseudo-spline symbols. Zbl 1398.65022
Conti, Costanza; Deng, Chongyang; Hormann, Kai
2018
Curvature based sampling of curves and surfaces. Zbl 1381.65016
Pagani, Luca; Scott, Paul J.
2018
Functional data approximation on bounded domains using polygonal finite elements. Zbl 1441.65018
Cao, Juan; Xiao, Yanyang; Chen, Zhonggui; Wang, Wenping; Bajaj, Chandrajit
2018
Cissoid constructions of augmented rational ruled surfaces. Zbl 1398.65027
Sendra, J. Rafael; Peternell, Martin; Sendra, Juana
2018
Hermite mean value interpolation on polygons. Zbl 1398.65019
Beatson, Rick; Floater, Michael S.; Kåshagen, Carl Emil
2018
Kinematic generation of Darboux cyclides. Zbl 1439.53014
Lubbes, Niels; Schicho, Josef
2018
Dimension and basis construction for analysis-suitable $$G^1$$ two-patch parameterizations. Zbl 1366.65106
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas
2017
$$G^1$$-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012
Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly
2017
Refinable $$G^1$$ functions on $$G^1$$ free-form surfaces. Zbl 1366.65024
Karčiauskas, Kȩstutis; Peters, Jörg
2017
Construction and analysis of cubic Powell-Sabin B-splines. Zbl 1379.65009
Grošelj, Jan; Speleers, Hendrik
2017
Planar Pythagorean-hodograph B-spline curves. Zbl 1379.65011
Albrecht, Gudrun; Beccari, Carolina Vittoria; Canonne, Jean-Charles; Romani, Lucia
2017
Rectifying control polygon for planar Pythagorean hodograph curves. Zbl 1366.65025
Kim, Soo Hyun; Moon, Hwan Pyo
2017
Low rank interpolation of boundary spline curves. Zbl 1375.65014
Jüttler, Bert; Mokriš, Dominik
2017
On multi-degree splines. Zbl 1381.65008
Beccari, Carolina Vittoria; Casciola, Giulio; Morigi, Serena
2017
Adaptive scattered data fitting by extension of local approximations to hierarchical splines. Zbl 1366.65014
Bracco, Cesare; Giannelli, Carlotta; Sestini, Alessandra
2017
Blended barycentric coordinates. Zbl 1366.65037
Anisimov, Dmitry; Panozzo, Daniele; Hormann, Kai
2017
Interpolation with spatial rational Pythagorean-hodograph curves of class 4. Zbl 1377.65023
Krajnc, Marjeta
2017
Algorithms for computing strong $$\mu$$-bases for rational tensor product surfaces. Zbl 1366.65033
Shen, Li-Yong; Goldman, Ron
2017
Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. Zbl 1366.65098
Wu, Meng; Wang, Yicao; Mourrain, Bernard; Nkonga, Boniface; Cheng, Changzheng
2017
Algebraic and algorithmic aspects of radical parametrizations. Zbl 1375.65043
Sendra, J. Rafael; Sevilla, David; Villarino, Carlos
2017
Enhancement of a multi-sided Bézier surface representation. Zbl 1375.65032
Várady, Tamás; Salvi, Péter; Kovács, István
2017
Surface reconstruction using simplex splines on feature-sensitive configurations. Zbl 1366.65035
Zhang, Yuhua; Cao, Juan; Chen, Zhonggui; Zeng, Xiaoming
2017
Implicit surface reconstruction with total variation regularization. Zbl 1366.65030
Liu, Yuan; Song, Yanzhi; Yang, Zhouwang; Deng, Jiansong
2017
Sliver-suppressing tetrahedral mesh optimization with gradient-based shape matching energy. Zbl 1366.65043
Ni, Saifeng; Zhong, Zichun; Liu, Yang; Wang, Wenping; Chen, Zhonggui; Guo, Xiaohu
2017
Dense packing of congruent circles in free-form non-convex containers. Zbl 1366.65042
Machchhar, Jinesh; Elber, Gershon
2017
An algebraic framework for computing the topology of offsets to rational curves. Zbl 1366.65017
Caravantes, Jorge; Diaz-Toca, Gema Maria; Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
2017
Optimal base complexes for quadrilateral meshes. Zbl 1366.65044
2017
Rapid blending of closed curves based on curvature flow. Zbl 1366.65020
Hirano, Masahiro; Watanabe, Yoshihiro; Ishikawa, Masatoshi
2017
New algebraic conditions for the identification of the relative position of two coplanar ellipses. Zbl 1366.65036
Alberich-Carramiñana, Maria; Elizalde, Borja; Thomas, Federico
2017
Robust mesh denoising via vertex pre-filtering and $$L_1$$-median normal filtering. Zbl 1366.65040
Lu, Xuequan; Chen, Wenzhi; Schaefer, Scott
2017
Semialgebraic splines. Zbl 1375.65016
DiPasquale, Michael; Sottile, Frank; Sun, Lanyin
2017
Sparse Pythagorean hodograph curves. Zbl 1375.65019
2017
Cubic spline approximation of a circle with maximal smoothness and accuracy. Zbl 1377.65019
Apprich, C.; Dieterich, A.; Höllig, K.; Nava-Yazdani, E.
2017
Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form. Zbl 1377.65020
Bizzarri, Michal; Lávička, Miroslav; Vršek, Jan
2017
Hermite parametric surface interpolation based on Argyris element. Zbl 1377.65022
2017
A discrete surface theory. Zbl 1381.65013
Kotani, M.; Naito, H.; Omori, T.
2017
Analysis-suitable $$G^1$$ multi-patch parametrizations for $$C^1$$ isogeometric spaces. Zbl 1418.65017
Collin, Annabelle; Sangalli, Giancarlo; Takacs, Thomas
2016
Refinable $$C^1$$ spline elements for irregular quad layout. Zbl 1418.65026
Nguyen, Thien; Peters, Jörg
2016
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010
Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly
2016
Construction of $$G^1$$ planar Hermite interpolants with prescribed arc lengths. Zbl 1418.65021
Farouki, Rida T.
2016
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
2016
Complexity of hierarchical refinement for a class of admissible mesh configurations. Zbl 1418.65011
Buffa, Annalisa; Giannelli, Carlotta; Morgenstern, Philipp; Peterseim, Daniel
2016
On the dimension of Tchebycheffian spline spaces over planar T-meshes. Zbl 1418.41005
Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik
2016
Area-preserving mesh parameterization for poly-annulus surfaces based on optimal mass transportation. Zbl 1418.65036
Su, Kehua; Cui, Li; Qian, Kun; Lei, Na; Zhang, Junwei; Zhang, Min; Gu, Xianfeng David
2016
Uniform approximation of a circle by a parametric polynomial curve. Zbl 1417.65081
Jaklič, Gašper
2016
The rational motion of minimal dual quaternion degree with prescribed trajectory. Zbl 1417.53012
Li, Z.; Schicho, Josef; Schröcker, Hans-Peter
2016
Polynomial finite element method for domains enclosed by piecewise conics. Zbl 1418.65169
Davydov, Oleg; Kostin, Georgy; Saeed, Abid
2016
Unstructured spline spaces for isogeometric analysis based on spline manifolds. Zbl 1418.41011
Sangalli, Giancarlo; Takacs, Thomas; Vázquez, Rafael
2016
Quartic splines on Powell-Sabin triangulations. Zbl 1366.65013
Grošelj, Jan; Krajnc, Marjeta
2016
On the dimension of spline spaces over T-meshes with smoothing cofactor-conformality method. Zbl 1417.65069
Li, Xin; Deng, Jiansong
2016
Constrained multi-degree reduction with respect to Jacobi norms. Zbl 1417.65074
2016
Computing $$\mu$$-bases from algebraic ruled surfaces. Zbl 1418.65027
Shen, Li-Yong
2016
Converting a CAD model into a non-uniform subdivision surface. Zbl 1366.65032
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
2016
Minimal bi-6 $$G^2$$ completion of bicubic spline surfaces. Zbl 1417.65082
Karčiauskas, Kȩstutis; Peters, Jörg
2016
Subdividing barycentric coordinates. Zbl 1418.65013
Anisimov, Dmitry; Deng, Chongyang; Hormann, Kai
2016
Algebraic methods in approximation theory. Zbl 1418.41012
Schenck, Hal
2016
On recursive refinement of convex polygons. Zbl 1418.65024
Lai, Ming-Jun; Slavov, George
2016
Generalized quantum splines. Zbl 1418.41007
Goldman, Ron; Simeonov, Plamen
2016
Quaternionic approach to equiform kinematics and line-elements of Euclidean 4-space and 3-space. Zbl 1418.53012
Nawratil, Georg
2016
A line/trimmed NURBS surface intersection algorithm using matrix representations. Zbl 1366.65045
Shen, Jingjing; Busé, Laurent; Alliez, Pierre; Dodgson, Neil
2016
Matrix weighted rational curves and surfaces. Zbl 1417.65110
Yang, Xunnian
2016
Revisiting the problem of zeros of univariate scalar Béziers. Zbl 1417.65087
Machchhar, Jinesh; Elber, Gershon
2016
Unsupervised 3D shape segmentation and co-segmentation via deep learning. Zbl 1417.65094
Shu, Zhenyu; Qi, Chengwu; Xin, Shiqing; Hu, Chao; Wang, Li; Zhang, Yu; Liu, Ligang
2016
Kernel-based adaptive sampling for image reconstruction and meshing. Zbl 1417.94012
Zhong, Zichun; Hua, Jing
2016
Convergence of barycentric coordinates to barycentric kernels. Zbl 1418.65022
Kosinka, Jiří; Bartoň, Michael
2016
Repeated local operations for $$m$$-ary $$2N$$-point Dubuc-Deslauriers subdivision schemes. Zbl 1418.65019
Deng, Chongyang; Li, Yajuan; Xu, Huixia
2016
Medial axis transforms yielding rational envelopes. Zbl 1418.65014
Bizzarri, Michal; Lávička, Miroslav; Kosinka, Jiří
2016
Isoptic surfaces of polyhedra. Zbl 1418.51011
Csima, Géza; Szirmai, Jenő
2016
Greville abscissae of totally positive bases. Zbl 1366.65015
Carnicer, J. M.; Mainar, E.; Peña, J. M.
2016
Characterization of bivariate hierarchical quartic box splines on a three-directional grid. Zbl 1417.65071
Villamizar, Nelly; Mantzaflaris, Angelos; Jüttler, Bert
2016
$$G^1$$ interpolation by rational cubic PH curves in $$\mathbb R^3$$. Zbl 1417.65061
Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito
2016
On the monotonicity of generalized barycentric coordinates on convex polygons. Zbl 1417.65106
Floater, Michael S.
2016
Surface fitting with cyclide splines. Zbl 1417.65076
Bo, Pengbo; Liu, Yang; Tu, Changhe; Zhang, Caiming; Wang, Wenping
2016
Tetrahedral meshing via maximal Poisson-disk sampling. Zbl 1418.65189
Guo, Jianwei; Yan, Dong-Ming; Chen, Li; Zhang, Xiaopeng; Deussen, Oliver; Wonka, Peter
2016
Birational 2D free-form deformation of degree $$1\times n$$. Zbl 1418.65035
Sederberg, Thomas W.; Goldman, Ronald N.; Wang, Xuhui
2016
On pseudo-harmonic barycentric coordinates. Zbl 1418.65016
Chen, Renjie; Gotsman, Craig
2016
Smooth bivariate shape-preserving cubic spline approximation. Zbl 1418.65009
Baramidze, Victoria
2016
Multivariate splines and the Bernstein-Bézier form of a polynomial. Zbl 1418.41003
Alfeld, Peter
2016
Splines in geometry and topology. Zbl 1418.41013
Tymoczko, Julianna
2016
Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations. Zbl 1418.41008
Jüttler, Bert; Mokriš, Dominik; Zore, Urška
2016
Dimension of trivariate $$C^1$$ splines on bipyramid cells. Zbl 1418.41006
Colvin, Julien; DiMatteo, Devan; Sorokina, Tatyana
2016
On degree elevation of T-splines. Zbl 1418.65012
Zhang, Jingjing; Li, Xin
2016
Anamorphic free-form deformation. Zbl 1418.68230
Sánchez-Reyes, Javier; Chacón, Jesús M.
2016
High quality local interpolation by composite parametric surfaces. Zbl 1418.65008
Antonelli, Michele; Beccari, Carolina Vittoria; Casciola, Giulio
2016
Design with quasi extended Chebyshev piecewise spaces. Zbl 1418.41009
Mazure, Marie-Laurence
2016
...and 1258 more Documents
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#### Cited by 5,111 Authors

 94 Farouki, Rida T. 74 Jüttler, Bert 64 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 Speleers, Hendrik 40 Romani, Lucia 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. 27 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 Farin, Gerald E. 22 Meek, Dereck S. 21 Casciola, Giulio 21 Kosinka, Jiří 21 Siddiqi, Shahid Saeed 21 Šír, Zbyněk 21 Vitrih, Vito 21 Wang, Renhong 20 Ait-Haddou, Rachid 20 Beccari, Carolina Vittoria 20 Delgado, Jorge F. M. 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 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 Ma, Weiyin 18 Mainar, Esmeralda 18 Paluszny, Marco 18 Reif, Ulrich 18 Sabin, Malcolm A. 18 Sbibih, Driss 18 Zhang, Yongjie Jessica 17 Costantini, Paolo Giuseppe 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. 16 Bajaj, Chandrajit L. 16 Bracco, Cesare 16 Busé, Laurent 16 Han, Chang Yong 16 Jiang, Qingtang 16 Peters, Thomas J. 16 Plaza, Ángel 16 Tan, Jieqing 16 Winkler, Joab R. 16 Woźny, Paweł 15 Elber, Gershon 15 Hsu, Ming-Chen 15 Hu, Gang 15 Lin, Hongwei 15 Pasadas, Miguel 15 Rababah, Abedallah 15 Reali, Alessandro 15 Rehan, Kashif 15 Sablonnière, Paul ...and 5,011 more Authors
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#### Cited in 431 Journals

 1,338 Computer Aided Geometric Design 405 Journal of Computational and Applied Mathematics 263 Computer Methods in Applied Mechanics and Engineering 194 Applied Mathematics and Computation 116 Journal of Symbolic Computation 100 Advances in Computational Mathematics 99 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) 38 Numerische Mathematik 34 International Journal of Computational Geometry & Applications 34 Computational Geometry 34 Mathematical Problems in Engineering 31 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 25 Computational and Applied Mathematics 24 Journal of Mathematical Analysis and Applications 24 Journal of Systems Science and Complexity 22 Theoretical Computer Science 22 Applied Mathematical Modelling 21 Mathematical and Computer Modelling 21 Journal of Scientific Computing 20 SIAM Journal on Scientific Computing 19 Journal of Mathematical Imaging and Vision 18 ACM Transactions on Graphics 18 Engineering Analysis with Boundary Elements 17 Journal of Applied Mathematics 16 Journal of Computer Science and Technology 16 Applied and Computational Harmonic Analysis 16 Mathematics in Computer Science 15 Journal of Geometry 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 SIAM Journal on Imaging Sciences 10 Rocky Mountain Journal of Mathematics 10 Mediterranean Journal of Mathematics 9 Discrete Applied Mathematics 9 Calcolo 9 Journal of Pure and Applied Algebra 9 SIAM Journal on Numerical Analysis 9 Science in China. Series F 8 Chaos, Solitons and Fractals 8 Japan Journal of Industrial and Applied Mathematics 8 Computational Mathematics and Mathematical Physics 8 Journal of Mathematical Sciences (New York) 8 Journal of the Egyptian Mathematical Society 8 Journal of Applied Mathematics and Computing 7 Computers and Fluids 7 Information Sciences 7 Transactions of the American Mathematical Society 7 Algorithmica 7 Communications in Numerical Methods in Engineering 7 Engineering Computations 7 Symmetry 7 Journal of Theoretical Biology 6 Mathematical Methods in the Applied Sciences 6 Monatshefte für Mathematik 6 Advances in Applied Mathematics 6 Acta Applicandae Mathematicae 6 The Visual Computer 6 Engineering with Computers 6 International Journal of Algebra and Computation 6 Journal of Global Optimization 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 ...and 331 more Journals
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#### Cited in 59 Fields

 3,469 Numerical analysis (65-XX) 1,001 Approximations and expansions (41-XX) 891 Computer science (68-XX) 373 Differential geometry (53-XX) 287 Algebraic geometry (14-XX) 271 Mechanics of deformable solids (74-XX) 182 Partial differential equations (35-XX) 122 Geometry (51-XX) 111 Convex and discrete geometry (52-XX) 110 Fluid mechanics (76-XX) 109 Commutative algebra (13-XX) 96 Operations research, mathematical programming (90-XX) 90 Harmonic analysis on Euclidean spaces (42-XX) 70 Biology and other natural sciences (92-XX) 67 Linear and multilinear algebra; matrix theory (15-XX) 54 Information and communication theory, circuits (94-XX) 52 Real functions (26-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 50 Statistics (62-XX) 48 Mechanics of particles and systems (70-XX) 43 Special functions (33-XX) 42 Combinatorics (05-XX) 42 Ordinary differential equations (34-XX) 42 Global analysis, analysis on manifolds (58-XX) 33 Field theory and polynomials (12-XX) 33 Functions of a complex variable (30-XX) 32 Dynamical systems and ergodic theory (37-XX) 28 Manifolds and cell complexes (57-XX) 26 Number theory (11-XX) 22 Systems theory; control (93-XX) 20 Probability theory and stochastic processes (60-XX) 19 Measure and integration (28-XX) 19 Operator theory (47-XX) 19 Geophysics (86-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 General and overarching topics; collections (00-XX) 15 Algebraic topology (55-XX) 15 Optics, electromagnetic theory (78-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Difference and functional equations (39-XX) 13 Functional analysis (46-XX) 12 Integral equations (45-XX) 10 Associative rings and algebras (16-XX) 10 Potential theory (31-XX) 9 History and biography (01-XX) 9 Several complex variables and analytic spaces (32-XX) 9 General topology (54-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Relativity and gravitational theory (83-XX) 5 Integral transforms, operational calculus (44-XX) 5 Quantum theory (81-XX) 5 Mathematics education (97-XX) 4 Sequences, series, summability (40-XX) 3 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX)