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Sabin, Malcolm A.

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Author ID: sabin.malcolm-a Recent zbMATH articles by "Sabin, Malcolm A."
Published as: Sabin, M. A.; Sabin, Malcolm; Sabin, Malcolm A.; Sabin, Malcom A.
Documents Indexed: 57 Publications since 1976, including 5 Books

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 628 times in 514 Documents Cited by Year
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
165
1977
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
90
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.
70
2002
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
42
2008
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
36
2008
A circle-preserving variant of the four-point subdivision scheme. Zbl 1079.65514
Sabin, Malcolm A.; Dodgson, Neil A.
24
2005
Hexahedral mesh generation by medial surface subdivision. I: Solids with convex edges. Zbl 0835.73080
Price, M. A.; Armstrong, C. G.; Sabin, M. A.
22
1995
Variations on the four-point subdivision scheme. Zbl 1210.65052
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
11
2010
Analysis and design of univariate subdivision schemes. Zbl 1215.68002
Sabin, Malcolm
11
2010
A method for displaying the intersection curve of two quadric surfaces. Zbl 0345.65006
Sabin, M. A.
11
1976
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.
10
2009
Recent progress in subdivision: a survey. Zbl 1065.65038
Sabin, Malcolm
9
2005
A generative classification of mesh refinement rules with lattice transformations. Zbl 1069.65521
Ivrissimtzis, I. P.; Dodgson, N. A.; Sabin, M. A.
9
2004
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
Transfinite surface interpolation. Zbl 0879.68106
Sabin, Malcolm
8
1996
Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces. Zbl 1364.65046
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm A.; Dodgson, Neil A.
7
2014
Artifacts in box-spline surfaces. Zbl 1141.68639
Sabin, Malcolm A.; Augsdörfer, Ursula H.; Dodgson, Neil A.
7
2005
On the geometry of recursive subdivision. Zbl 1113.68580
Ivrissimtzis, I. P.; Dodgson, N. A.; Hasssan, M. F.; Sabin, M. A.
7
2002
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.
5
2009
The conversion matrix between uniform B-spline and Bézier representations. Zbl 1069.65532
Romani, L.; Sabin, M. A.
5
2004
Boundary conditions for the 3-direction box-spline. Zbl 1274.65050
Sabin, Malcolm A.; Bejancu, Aurelian
5
2003
Interactive implicit modelling based on C\(^1\) continuous reconstruction of regular grids. Zbl 1098.65013
Barthe, Loic; Mora, Benjamin; Dodgson, Neil; Sabin, Malcolm
5
2002
Cubic recursive division with bounded curvature. Zbl 0733.41021
Sabin, M. A.
5
1991
Converting a CAD model into a non-uniform subdivision surface. Zbl 1366.65032
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
4
2016
Non-uniform B-spline subdivision using refine and smooth. Zbl 1163.68348
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
4
2007
\(\sqrt 5\)-subdivision. Zbl 1065.65035
Ivrissimtzis, Ioannis P.; Dodgson, Neil A.; Sabin, Malcolm
4
2005
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
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
Further transfinite surface developments. Zbl 0961.65013
Sabin, M. A.
3
1998
Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures. Zbl 1441.65026
Xiao, Xiao; Sabin, Malcolm; Cirak, Fehmi
2
2019
Cubic subdivision schemes with double knots. Zbl 1255.65052
Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
2
2013
Subdivision as a sequence of sampled \(C^p\) surfaces. Zbl 1065.65031
Gérot, Cédric; Barthe, Loïc; Dodgson, Neil A.; Sabin, Malcolm
2
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.
2
2005
Characteristics of dual triangular \(\sqrt{3}\) subdivision. Zbl 1036.65016
Dodgson, N. A.; Ivrissimtzis, I. P.; Sabin, M. A.
2
2003
Subdivision of box-splines. Zbl 1004.65026
Sabin, Malcolm
2
2002
Two-sided patches suitable for inclusion in a B-spline surface. Zbl 0906.65016
Sabin, Malcolm
2
1998
Circles and cyclides - applying the absolute. Zbl 0725.68106
Sabin, Malcolm
2
1989
A bivariate \(C^1\) subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
1
2019
Old problems and new challenges in subdivision. Zbl 1415.65049
Reif, Ulrich; Sabin, Malcolm A.
1
2019
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.
1
2011
Removing polar rendering artifacts in subdivision surfaces. Zbl 1184.68556
Augsdörfer, Ursula H.; Dodgson, Neil A.; Sabin, Malcolm A.
1
2009
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
Advances in multiresolution for geometric modelling. Papers presented at the MINGLE 2003 workshop, Cambridge, UK, September 9–11, 2003. Zbl 1047.65001
Dodgson, Neil A. (ed.); Floater, Michael S. (ed.); Sabin, Malcom A. (ed.)
1
2005
The refinability of the four point scheme. Zbl 0995.68156
Ivrissimtzis, I. P.; Dodgson, N. A.; Hassan, M. F.; Sabin, M. A.
1
2002
Fast solution of the thin plate spline equation. Zbl 0965.65016
Sabin, M. A.
1
1997
Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures. Zbl 1441.65026
Xiao, Xiao; Sabin, Malcolm; Cirak, Fehmi
2
2019
A bivariate \(C^1\) subdivision scheme based on cubic half-box splines. Zbl 1450.65015
Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiří
1
2019
Old problems and new challenges in subdivision. Zbl 1415.65049
Reif, Ulrich; Sabin, Malcolm A.
1
2019
Converting a CAD model into a non-uniform subdivision surface. Zbl 1366.65032
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm; Dodgson, Neil
4
2016
Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces. Zbl 1364.65046
Shen, Jingjing; Kosinka, Jiří; Sabin, Malcolm A.; Dodgson, Neil A.
7
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.
1
2011
Variations on the four-point subdivision scheme. Zbl 1210.65052
Augsdörfer, U. H.; Dodgson, N. A.; Sabin, M. A.
11
2010
Analysis and design of univariate subdivision schemes. Zbl 1215.68002
Sabin, Malcolm
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.
10
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.
5
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
42
2008
A family of subdivision schemes with cubic precision. Zbl 1172.65308
Hormann, Kai; Sabin, Malcolm A.
36
2008
Non-uniform B-spline subdivision using refine and smooth. Zbl 1163.68348
Cashman, Thomas J.; Dodgson, Neil A.; Sabin, Malcolm A.
4
2007
A circle-preserving variant of the four-point subdivision scheme. Zbl 1079.65514
Sabin, Malcolm A.; Dodgson, Neil A.
24
2005
Recent progress in subdivision: a survey. Zbl 1065.65038
Sabin, Malcolm
9
2005
Artifacts in box-spline surfaces. Zbl 1141.68639
Sabin, Malcolm A.; Augsdörfer, Ursula H.; Dodgson, Neil A.
7
2005
\(\sqrt 5\)-subdivision. Zbl 1065.65035
Ivrissimtzis, Ioannis P.; Dodgson, Neil A.; Sabin, Malcolm
4
2005
Subdivision as a sequence of sampled \(C^p\) surfaces. Zbl 1065.65031
Gérot, Cédric; Barthe, Loïc; Dodgson, Neil A.; Sabin, Malcolm
2
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.
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
Advances in multiresolution for geometric modelling. Papers presented at the MINGLE 2003 workshop, Cambridge, UK, September 9–11, 2003. Zbl 1047.65001
Dodgson, Neil A. (ed.); Floater, Michael S. (ed.); Sabin, Malcom A. (ed.)
1
2005
A generative classification of mesh refinement rules with lattice transformations. Zbl 1069.65521
Ivrissimtzis, I. P.; Dodgson, N. A.; Sabin, M. A.
9
2004
The conversion matrix between uniform B-spline and Bézier representations. Zbl 1069.65532
Romani, L.; Sabin, M. A.
5
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
5
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.
70
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
5
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.
3
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
8
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.
22
1995
Cubic recursive division with bounded curvature. Zbl 0733.41021
Sabin, M. A.
5
1991
Circles and cyclides - applying the absolute. Zbl 0725.68106
Sabin, Malcolm
2
1989
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
90
1987
Piecewise quadratic approximations on triangles. Zbl 0375.41010
Powell, M. J. D.; Sabin, M. A.
165
1977
A method for displaying the intersection curve of two quadric surfaces. Zbl 0345.65006
Sabin, M. A.
11
1976
all top 5

Cited by 608 Authors

25 Romani, Lucia
19 Speleers, Hendrik
18 Mustafa, Ghulam
16 Sabin, Malcolm A.
15 Siddiqi, Shahid Saeed
13 Conti, Costanza
12 Dierckx, Paul
12 Peters, Jorg
11 Fortes, Miguel Angel
11 Rehan, Kashif
10 Dodgson, Neil A.
10 Jiang, Qingtang
10 Krajnc, Marjeta
9 Beccari, Carolina Vittoria
9 Bultheel, Adhemar François
9 Hughes, Thomas J. R.
9 Pasadas, Miguel
9 Zhang, Shangyou
8 Deng, Chongyang
8 Dyn, Nira
8 Floater, Michael S.
8 Grošelj, Jan
8 Kosinka, Jiří
8 Sbibih, Driss
8 Tijini, Ahmed
8 Zheng, Hongchan
7 Ahn, Young Joon
7 Casciola, Giulio
7 Lyche, Tom
7 Ma, Weiyin
7 Maes, Jan
7 Manni, Carla
7 Meek, Dereck S.
7 Sablonnière, Paul
7 Serghini, Abdelhafid
7 Sorokina, Tatyana
6 Chui, Charles Kam-tai
6 Farouki, Rida T.
6 Hormann, Kai
6 Jaklič, Gašper
6 Tan, Jieqing
6 Vandewalle, Stefan G.
6 Žagar, Emil
6 Zhang, Li
5 Bajaj, Chandrajit L.
5 Ghaffar, Abdul
5 Kozak, Jernej
5 Scott, Michael A.
5 Walton, Desmond J.
5 Wang, Guozhao
5 Wang, Renhong
5 Zhang, Yongjie
4 Ahmad, Nadeem
4 Albrecht, Gudrun
4 Amat, Sergio P.
4 Augsdorfer, Ursula H.
4 Bejancu, Aurelian jun.
4 Cashman, Thomas J.
4 Degen, Wendelin L. F.
4 Farin, Gerald E.
4 Gérot, Cédric
4 González, Patricio
4 Höllig, Klaus H.
4 Lu, Lizheng
4 Muntingh, Georg
4 Qian, Xiaoping
4 Rababah, Abedallah
4 Reif, Ulrich
4 Schumaker, Larry L.
4 Umlauf, Georg
4 Vanraes, Evelyne
4 Worsey, Andrew J.
4 Xu, Xuejun
3 Ashraf, Pakeeza
3 Barrera, Domingo
3 Bashir, Robina
3 Charina, Maria
3 Evans, John A.
3 Gemignani, Luca
3 Ginkel, Ingo
3 Goodman, Timothy N. T.
3 Hameed, Rabia
3 Han, Bin
3 Johnson, Michael James
3 Jüttler, Bert
3 Kaklis, Panagiotis D.
3 Karčiauskas, Kęstutis
3 Khan, Faheem
3 Lamnii, M.
3 Luo, Zhongxuan
3 Mørken, Knut M.
3 Mraoui, Hamid
3 Novara, Paola
3 Nürnberger, Günther
3 Paluszny, Marco
3 Pelosi, Francesca
3 Peng, Guohua
3 Sederberg, Thomas W.
3 Seidel, Hans-Peter
3 Shen, Jingjing
...and 508 more Authors
all top 5

Cited in 91 Serials

138 Computer Aided Geometric Design
69 Journal of Computational and Applied Mathematics
31 Applied Mathematics and Computation
28 Computer Methods in Applied Mechanics and Engineering
15 Advances in Computational Mathematics
13 Mathematics of Computation
12 BIT
10 International Journal for Numerical Methods in Engineering
10 Applied Numerical Mathematics
9 Computers & Mathematics with Applications
9 Journal of Approximation Theory
8 Journal of Mathematical Analysis and Applications
8 Computing
8 Constructive Approximation
8 International Journal of Computer Mathematics
6 Mathematics and Computers in Simulation
6 Numerical Algorithms
5 Applied Mathematics Letters
5 Journal of Scientific Computing
5 International Journal of Wavelets, Multiresolution and Information Processing
4 Applied and Computational Harmonic Analysis
3 Applicable Analysis
3 Numerical Methods for Partial Differential Equations
3 International Journal of Computational Geometry & Applications
3 Mathematical Problems in Engineering
3 Lobachevskii Journal of Mathematics
3 SMAI Journal of Computational Mathematics
2 Journal of Computational Physics
2 Chaos, Solitons and Fractals
2 Calcolo
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 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 S\(\vec{\text{e}}\)MA Journal
2 Open Mathematics
1 Journal d’Analyse Mathématique
1 Rocky Mountain Journal of Mathematics
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal of Computer & Information Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 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 Computer Graphics Forum
1 Computational Optimization and Applications
1 Applied Mathematics. Series B (English Edition)
1 Computational and Applied Mathematics
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 Engineering Computations
1 Archives of Computational Methods in Engineering
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 GAMM-Mitteilungen
1 Journal of Zhejiang University. Science A
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Science China. Mathematics
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
1 Bulletin of Computational Applied Mathematics
1 International Journal of Applied and Computational Mathematics
1 Computational Visual Media
1 SIAM Journal on Applied Algebra and Geometry
1 Communications on Applied Mathematics and Computation

Citations by Year