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Author ID: sabin.malcolm-a Recent zbMATH articles by "Sabin, Malcolm A."
Published as: Sabin, Malcolm; Sabin, M. A.; Sabin, Malcolm A.

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 752 times in 625 Documents Cited by Year
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
205
1977
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
99
1987
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.
83
2002
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
53
2008
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
38
2008
Hexahedral mesh generation by medial surface subdivision. I: Solids with convex edges. Zbl 0835.73080
Price, M. A.; Armstrong, C. G.; Sabin, M. A.
37
1995
A circle-preserving variant of the four-point subdivision scheme. Zbl 1079.65514
Sabin, Malcolm A.; Dodgson, Neil A.
27
2005
Analysis and design of univariate subdivision schemes. Zbl 1215.68002
Sabin, Malcolm
15
2010
Recent progress in subdivision: a survey. Zbl 1065.65038
Sabin, Malcolm
13
2005
A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines. Zbl 1205.65045
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
11
2009
Variations on the four-point subdivision scheme. Zbl 1210.65052
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
11
2010
Transfinite surface interpolation. Zbl 0879.68106
Sabin, Malcolm
10
1996
Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces. Zbl 1364.65046
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm A.; Dodgson, Neil A.
9
2014
Artifacts in box-spline surfaces. Zbl 1141.68639
Sabin, Malcolm A.; Augsdörfer, Ursula H.; Dodgson, Neil A.
8
2005
Artifacts in recursive subdivision surfaces. Zbl 1036.65022
Sabin, Malcolm; Barthe, Loïc
8
2003
Eigenanalysis and artifacts of subdivision curves and surfaces. Zbl 1004.65025
Sabin, Malcolm
8
2002
On the geometry of recursive subdivision. Zbl 1113.68580
Ivrissimtzis, I. P.; Dodgson, N. A.; Hasssan, M. F.; Sabin, M. A.
7
2002
A generative classification of mesh refinement rules with lattice transformations. Zbl 1069.65521
Ivrissimtzis, I. P.; Dodgson, N. A.; Sabin, M. A.
7
2004
Cubic recursive division with bounded curvature. Zbl 0733.41021
Sabin, M. A.
7
1991
Old problems and new challenges in subdivision. Zbl 1415.65049
Reif, Ulrich; Sabin, Malcolm A.
6
2019
The conversion matrix between uniform B-spline and Bézier representations. Zbl 1069.65532
Romani, L.; Sabin, M. A.
6
2004
Converting a CAD model into a non-uniform subdivision surface. Zbl 1366.65032
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
6
2016
Numerical checking of \(C ^{1}\) for arbitrary degree quadrilateral subdivision schemes. Zbl 1258.65012
Augsdörfer, U. H.; Cashman, T. J.; Dodgson, N. A.; Sabin, M. A.
6
2009
Non-uniform B-spline subdivision using refine and smooth. Zbl 1163.68348
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
6
2007
Boundary conditions for the 3-direction box-spline. Zbl 1274.65050
Sabin, Malcolm A.; Bejancu, Aurelian
6
2003
Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures. Zbl 1441.65026
Xiao, Xiao; Sabin, Malcolm; Cirak, Fehmi
6
2019
\(\sqrt 5\)-subdivision. Zbl 1065.65035
Ivrissimtzis, Ioannis P.; Dodgson, Neil A.; Sabin, Malcolm
5
2005
A method for displaying the intersection curve of two quadric surfaces. Zbl 0345.65006
Sabin, M. A.
5
1976
Further transfinite surface developments. Zbl 0961.65013
Sabin, M. A.
5
1998
A bivariate \(C^1\) subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
4
2019
Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh. Zbl 1078.41011
Bejancu, Aurelian; Sabin, Malcolm A.
3
2005
Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision. Zbl 1205.65046
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
3
2009
Deriving box-spline subdivision schemes. Zbl 1258.65014
Dodgson, N. A.; Augsdörfer, U. H.; Cashman, T. J.; Sabin, M. A.
3
2009
Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra. Zbl 1220.65017
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
3
2011
Interactive implicit modelling based on C\(^1\) continuous reconstruction of regular grids. Zbl 1098.65013
Barthe, Loic; Mora, Benjamin; Dodgson, Neil; Sabin, Malcolm
2
2002
Subdivision as a sequence of sampled \(C^p\) surfaces. Zbl 1065.65031
Gérot, Cédric; Barthe, Loïc; Dodgson, Neil A.; Sabin, Malcolm
2
2005
Circles and cyclides - applying the absolute. Zbl 0725.68106
Sabin, Malcolm
2
1989
Open questions in the application of multivariate B-splines. Zbl 0675.41027
Sabin, Malcolm
2
1989
Characteristics of dual triangular \(\sqrt{3}\) subdivision. Zbl 1036.65016
Dodgson, N. A.; Ivrissimtzis, I. P.; Sabin, M. A.
2
2003
Two-sided patches suitable for inclusion in a B-spline surface. Zbl 0906.65016
Sabin, Malcolm
2
1998
Subdivision of box-splines. Zbl 1004.65026
Sabin, Malcolm
2
2002
Artifact analysis on B-splines, box-splines and other surfaces defined by quadrilateral polyhedra. Zbl 1387.65010
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
2
2011
Cubic subdivision schemes with double knots. Zbl 1255.65052
Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
2
2013
Simple computation of the eigencomponents of a subdivision matrix in the Fourier domain. Zbl 1065.65027
Barthe, Loïc; Gérot, Cédric; Sabin, Malcolm; Kobbelt, Leif
1
2005
Mathematical methods in computer graphics and design. Based on the proceedings of the conference on mathematical methods in computer graphics and design, organized by the Institute of Mathematics and its Applications and held at the University of Leicester on September 28th, 1978. Zbl 0507.68076
1
1980
Fast solution of the thin plate spline equation. Zbl 0965.65016
Sabin, M. A.
1
1997
The refinability of the four point scheme. Zbl 0995.68156
Ivrissimtzis, I. P.; Dodgson, N. A.; Hassan, M. F.; Sabin, M. A.
1
2002
Removing polar rendering artifacts in subdivision surfaces. Zbl 1184.68556
Augsdörfer, Ursula H.; Dodgson, Neil A.; Sabin, Malcolm A.
1
2009
Adaptivity with B-spline elements. Zbl 1422.65035
Sabin, Malcolm
1
2017
Old problems and new challenges in subdivision. Zbl 1415.65049
Reif, Ulrich; Sabin, Malcolm A.
6
2019
Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures. Zbl 1441.65026
Xiao, Xiao; Sabin, Malcolm; Cirak, Fehmi
6
2019
A bivariate \(C^1\) subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
4
2019
Adaptivity with B-spline elements. Zbl 1422.65035
Sabin, Malcolm
1
2017
Converting a CAD model into a non-uniform subdivision surface. Zbl 1366.65032
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
6
2016
Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces. Zbl 1364.65046
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm A.; Dodgson, Neil A.
9
2014
Cubic subdivision schemes with double knots. Zbl 1255.65052
Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
2
2013
Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra. Zbl 1220.65017
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
3
2011
Artifact analysis on B-splines, box-splines and other surfaces defined by quadrilateral polyhedra. Zbl 1387.65010
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
2
2011
Analysis and design of univariate subdivision schemes. Zbl 1215.68002
Sabin, Malcolm
15
2010
Variations on the four-point subdivision scheme. Zbl 1210.65052
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
11
2010
A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines. Zbl 1205.65045
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
11
2009
Numerical checking of \(C ^{1}\) for arbitrary degree quadrilateral subdivision schemes. Zbl 1258.65012
Augsdörfer, U. H.; Cashman, T. J.; Dodgson, N. A.; Sabin, M. A.
6
2009
Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision. Zbl 1205.65046
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
3
2009
Deriving box-spline subdivision schemes. Zbl 1258.65014
Dodgson, N. A.; Augsdörfer, U. H.; Cashman, T. J.; Sabin, M. A.
3
2009
Removing polar rendering artifacts in subdivision surfaces. Zbl 1184.68556
Augsdörfer, Ursula H.; Dodgson, Neil A.; Sabin, Malcolm A.
1
2009
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
53
2008
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
38
2008
Non-uniform B-spline subdivision using refine and smooth. Zbl 1163.68348
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
6
2007
A circle-preserving variant of the four-point subdivision scheme. Zbl 1079.65514
Sabin, Malcolm A.; Dodgson, Neil A.
27
2005
Recent progress in subdivision: a survey. Zbl 1065.65038
Sabin, Malcolm
13
2005
Artifacts in box-spline surfaces. Zbl 1141.68639
Sabin, Malcolm A.; Augsdörfer, Ursula H.; Dodgson, Neil A.
8
2005
\(\sqrt 5\)-subdivision. Zbl 1065.65035
Ivrissimtzis, Ioannis P.; Dodgson, Neil A.; Sabin, Malcolm
5
2005
Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh. Zbl 1078.41011
Bejancu, Aurelian; Sabin, Malcolm A.
3
2005
Subdivision as a sequence of sampled \(C^p\) surfaces. Zbl 1065.65031
Gérot, Cédric; Barthe, Loïc; Dodgson, Neil A.; Sabin, Malcolm
2
2005
Simple computation of the eigencomponents of a subdivision matrix in the Fourier domain. Zbl 1065.65027
Barthe, Loïc; Gérot, Cédric; Sabin, Malcolm; Kobbelt, Leif
1
2005
A generative classification of mesh refinement rules with lattice transformations. Zbl 1069.65521
Ivrissimtzis, I. P.; Dodgson, N. A.; Sabin, M. A.
7
2004
The conversion matrix between uniform B-spline and Bézier representations. Zbl 1069.65532
Romani, L.; Sabin, M. A.
6
2004
Artifacts in recursive subdivision surfaces. Zbl 1036.65022
Sabin, Malcolm; Barthe, Loïc
8
2003
Boundary conditions for the 3-direction box-spline. Zbl 1274.65050
Sabin, Malcolm A.; Bejancu, Aurelian
6
2003
Characteristics of dual triangular \(\sqrt{3}\) subdivision. Zbl 1036.65016
Dodgson, N. A.; Ivrissimtzis, I. P.; Sabin, M. A.
2
2003
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.
83
2002
Eigenanalysis and artifacts of subdivision curves and surfaces. Zbl 1004.65025
Sabin, Malcolm
8
2002
On the geometry of recursive subdivision. Zbl 1113.68580
Ivrissimtzis, I. P.; Dodgson, N. A.; Hasssan, M. F.; Sabin, M. A.
7
2002
Interactive implicit modelling based on C\(^1\) continuous reconstruction of regular grids. Zbl 1098.65013
Barthe, Loic; Mora, Benjamin; Dodgson, Neil; Sabin, Malcolm
2
2002
Subdivision of box-splines. Zbl 1004.65026
Sabin, Malcolm
2
2002
The refinability of the four point scheme. Zbl 0995.68156
Ivrissimtzis, I. P.; Dodgson, N. A.; Hassan, M. F.; Sabin, M. A.
1
2002
Further transfinite surface developments. Zbl 0961.65013
Sabin, M. A.
5
1998
Two-sided patches suitable for inclusion in a B-spline surface. Zbl 0906.65016
Sabin, Malcolm
2
1998
Fast solution of the thin plate spline equation. Zbl 0965.65016
Sabin, M. A.
1
1997
Transfinite surface interpolation. Zbl 0879.68106
Sabin, Malcolm
10
1996
Hexahedral mesh generation by medial surface subdivision. I: Solids with convex edges. Zbl 0835.73080
Price, M. A.; Armstrong, C. G.; Sabin, M. A.
37
1995
Cubic recursive division with bounded curvature. Zbl 0733.41021
Sabin, M. A.
7
1991
Circles and cyclides - applying the absolute. Zbl 0725.68106
Sabin, Malcolm
2
1989
Open questions in the application of multivariate B-splines. Zbl 0675.41027
Sabin, Malcolm
2
1989
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
99
1987
Mathematical methods in computer graphics and design. Based on the proceedings of the conference on mathematical methods in computer graphics and design, organized by the Institute of Mathematics and its Applications and held at the University of Leicester on September 28th, 1978. Zbl 0507.68076
1
1980
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
205
1977
A method for displaying the intersection curve of two quadric surfaces. Zbl 0345.65006
Sabin, M. A.
5
1976
all top 5

Cited by 707 Authors

28 Romani, Lucia
23 Mustafa, Ghulam
23 Speleers, Hendrik
16 Sabin, Malcolm A.
15 Conti, Costanza
15 Peters, Jorg
15 Siddiqi, Shahid Saeed
13 Dyn, Nira
13 Krajnc, Marjeta
13 Zheng, Hongchan
12 Dierckx, Paul
12 Zhang, Shangyou
11 Beccari, Carolina Vittoria
11 Fortes, Miguel Angel
11 Hughes, Thomas J. R.
11 Pasadas, Miguel
11 Rehan, Kashif
10 Dodgson, Neil A.
10 Grošelj, Jan
10 Jiang, Qingtang
10 Lyche, Tom
10 Zhang, Yongjie Jessica
9 Ahn, Young Joon
9 Bultheel, Adhemar François
9 Manni, Carla
8 Casciola, Giulio
8 Deng, Chongyang
8 Floater, Michael S.
8 Hormann, Kai
8 Kosinka, Jiří
8 Kozak, Jernej
8 Sbibih, Driss
8 Tijini, Ahmed
7 Cirak, Fehmi
7 Ma, Weiyin
7 Maes, Jan
7 Meek, Dereck S.
7 Serghini, Abdelhafid
7 Tan, Jieqing
6 Amat Plata, Sergio
6 Barrera, Domingo
6 Chui, Charles Kam-tai
6 Farouki, Rida T.
6 Ghaffar, Abdul
6 Jaklič, Gašper
6 Lamnii, Abdellah
6 Reif, Ulrich
6 Sablonnière, Paul
6 Sorokina, Tatyana
6 Vandewalle, Stefan G.
6 Viscardi, Alberto
6 Žagar, Emil
6 Zhang, Li
5 Bajaj, Chandrajit L.
5 Bejancu, Aurelian jun.
5 de Borst, René
5 Eddargani, Salah
5 Gérot, Cédric
5 Hameed, Rabia
5 Jüttler, Bert
5 Karčiauskas, Kęstutis
5 Rababah, Abedallah
5 Scott, Michael A.
5 Shahpar, Shahrokh
5 Walton, Desmond J.
5 Wang, Guozhao
5 Wang, Renhong
5 Xu, Xuejun
5 Ye, Xiu
5 Zhang, Baoxing
4 Ahmad, Nadeem
4 Albrecht, Gudrun
4 Ashraf, Pakeeza
4 Augsdorfer, Ursula H.
4 Băleanu, Dumitru I.
4 Cashman, Thomas J.
4 Charina, Maria
4 Degen, Wendelin L. F.
4 Farin, Gerald E.
4 Gemignani, Luca
4 Han, Bin
4 Höllig, Klaus H.
4 Kaklis, Panagiotis D.
4 Khan, Faheem
4 Lu, Lizheng
4 Merrien, Jean-Louis
4 Muntingh, Georg
4 Novara, Paola
4 Pelosi, Francesca
4 Qian, Xiaoping
4 Sajo-Castelli, Andrés M.
4 Schumaker, Larry L.
4 Umlauf, Georg
4 Vanraes, Evelyne
4 Wei, Xiaodong
4 Worsey, Andrew J.
4 Zhou, Jie
3 Ali, Zaib
3 Bashir, Robina
3 Busé, Laurent
...and 607 more Authors
all top 5

Cited in 106 Serials

144 Computer Aided Geometric Design
79 Journal of Computational and Applied Mathematics
40 Computer Methods in Applied Mechanics and Engineering
36 Applied Mathematics and Computation
19 Advances in Computational Mathematics
16 International Journal for Numerical Methods in Engineering
14 Mathematics of Computation
13 BIT
12 Computers & Mathematics with Applications
12 Journal of Approximation Theory
12 Mathematics and Computers in Simulation
10 Applied Numerical Mathematics
9 Constructive Approximation
9 International Journal of Computer Mathematics
8 Journal of Mathematical Analysis and Applications
8 Computing
6 Numerical Algorithms
5 Applied Mathematics Letters
5 Journal of Scientific Computing
5 Applied and Computational Harmonic Analysis
5 Computational and Applied Mathematics
5 International Journal of Wavelets, Multiresolution and Information Processing
4 Mathematical Problems in Engineering
4 Journal of Inequalities and Applications
4 SMAI Journal of Computational Mathematics
3 Applicable Analysis
3 Journal of Computational Physics
3 Calcolo
3 Numerical Methods for Partial Differential Equations
3 International Journal of Computational Geometry & Applications
3 Lobachevskii Journal of Mathematics
3 Foundations of Computational Mathematics
3 Science China. Mathematics
3 Journal of Mathematics
3 Open Mathematics
2 Rocky Mountain Journal of Mathematics
2 Chaos, Solitons and Fractals
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerische Mathematik
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Linear Algebra and its Applications
2 The Journal of Fourier Analysis and Applications
2 International Journal of Computational Fluid Dynamics
2 Abstract and Applied Analysis
2 Journal of Applied Mathematics
2 International Journal of Numerical Analysis and Modeling
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 S\(\vec{\text{e}}\)MA Journal
2 AIMS Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Methods in the Applied Sciences
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal of Computer & Information Sciences
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 ACM Transactions on Graphics
1 Discrete & Computational Geometry
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Japan Journal of Industrial and Applied Mathematics
1 Computational Statistics
1 Computational Mathematics and Mathematical Physics
1 Computer Graphics Forum
1 Computational Optimization and Applications
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series B (English Edition)
1 Filomat
1 International Journal of Shape Modeling
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Taiwanese Journal of Mathematics
1 Journal of Applied Statistics
1 LMS Journal of Computation and Mathematics
1 Communications of the Korean Mathematical Society
1 Engineering Computations
1 Archives of Computational Methods in Engineering
1 Computational Methods in Applied Mathematics
1 Journal of Numerical Mathematics
1 Journal of Applied Mathematics and Computing
1 Analysis in Theory and Applications
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 Science in China. Series F
1 Journal of Zhejiang University. Science A
1 Journal of Mathematics and the Arts
1 Communications in Computational Physics
1 Mathematical Geosciences
1 Journal of Mathematics and Computer Science. JMCS
1 ISRN Applied Mathematics
1 ISRN Computational Mathematics
1 International Journal of Analysis
1 Journal of Function Spaces
1 Nonlinear Analysis. Theory, Methods & Applications
...and 6 more Serials

Citations by Year