# zbMATH — the first resource for mathematics

## Ball, Alan A.

Compute Distance To:
 Author ID: ball.alan-a Published as: Ball, A. A.; Ball, Alan A.
 Documents Indexed: 20 Publications since 1971, including 1 Book
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#### Co-Authors

 8 single-authored 2 Cripps, Robert J. 2 Storry, D. J. T. 2 Tookey, R. M. 1 Ball, J. V. 1 Lidén, Gunnar 1 Loftus, M. 1 McMullen, Peter 1 Reeve, John-E. 1 Shephard, Geoffrey Colin
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#### Serials

 3 Computer Aided Geometric Design 2 International Journal for Numerical Methods in Engineering 2 International Journal of Production Research 1 IMA Journal of Numerical Analysis 1 Journal of Computational and Applied Mathematics 1 ACM Transactions on Graphics 1 CAD. Computer-Aided Design 1 London Mathematical Society Lecture Note Series
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#### Fields

 14 Numerical analysis (65-XX) 5 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 2 Algebraic geometry (14-XX) 2 Differential geometry (53-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

11 Publications have been cited 174 times in 171 Documents Cited by Year
Convex polytopes and the upper bound conjecture. Zbl 0217.46702
McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A.
1971
Conditions for tangent plane continuity over recursively generated B- spline surfaces. Zbl 0663.65012
Ball, A. A.; Storry, D. J. T.
1988
The generalised Cornu spiral and its application to span generation. Zbl 0939.65017
Ali, J. M.; Tookey, R. M.; Ball, J. V.; Ball, A. A.
1999
The interpolation function of a general serendipity rectangular element. Zbl 0426.73070
Ball, A. A.
1980
Control point surfaces over non-four-sided areas. Zbl 0897.65009
Zheng, J. J.; Ball, A. A.
1997
Reparametrization and its application in computer-aided geometric design. Zbl 0539.65005
Ball, A. A.
1984
Design of an n-sided surface patch from Hermite boundary data. Zbl 0671.65010
Storry, D. J. T.; Ball, A. A.
1989
CAD: Master or servant of engineering? Zbl 0965.65018
Ball, A. A.
1997
Estimation of curvatures from planar point data. Zbl 0965.65019
Tookey, R. M.; Ball, A. A.
1997
Degree elevation for $$n-$$sided surfaces. Zbl 0971.68168
Ball, A. A.; Zheng, J. J.
2001
Orthogonal $$C^2$$ cubic spline curves. Zbl 1060.65531
Cripps, Robert J.; Ball, Alan A.
2004
Orthogonal $$C^2$$ cubic spline curves. Zbl 1060.65531
Cripps, Robert J.; Ball, Alan A.
2004
Degree elevation for $$n-$$sided surfaces. Zbl 0971.68168
Ball, A. A.; Zheng, J. J.
2001
The generalised Cornu spiral and its application to span generation. Zbl 0939.65017
Ali, J. M.; Tookey, R. M.; Ball, J. V.; Ball, A. A.
1999
Control point surfaces over non-four-sided areas. Zbl 0897.65009
Zheng, J. J.; Ball, A. A.
1997
CAD: Master or servant of engineering? Zbl 0965.65018
Ball, A. A.
1997
Estimation of curvatures from planar point data. Zbl 0965.65019
Tookey, R. M.; Ball, A. A.
1997
Design of an n-sided surface patch from Hermite boundary data. Zbl 0671.65010
Storry, D. J. T.; Ball, A. A.
1989
Conditions for tangent plane continuity over recursively generated B- spline surfaces. Zbl 0663.65012
Ball, A. A.; Storry, D. J. T.
1988
Reparametrization and its application in computer-aided geometric design. Zbl 0539.65005
Ball, A. A.
1984
The interpolation function of a general serendipity rectangular element. Zbl 0426.73070
Ball, A. A.
1980
Convex polytopes and the upper bound conjecture. Zbl 0217.46702
McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A.
1971
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#### Cited by 193 Authors

 6 Blind, Gerd 6 Blind, Roswitha 6 Kalai, Gil 6 Lee, Carl W. 5 McMullen, Peter 4 Ball, Alan A. 4 Betke, Ulrich 4 Billera, Louis J. 4 Cripps, Robert J. 3 Bezdek, Károly 3 Cordovil, Raul 3 Fukuda, Komei 3 Kleinschmidt, Peter 3 Schneider, Rolf G. 3 Shemer, Ido 3 Shephard, Geoffrey Colin 2 Altshuler, Amos 2 Bayer, Margaret M. 2 Bedard, Claude 2 Bercovier, Michel 2 Cross, Benjamin 2 Ewald, Günter 2 Filliman, Paul 2 Flaminio, Tommaso 2 German, Oleg N. 2 Gritzmann, Peter 2 Gruber, Peter Manfred 2 Grünbaum, Branko 2 Henk, Martin 2 Hussain, Malik Zawwar 2 Jacobi, Arie 2 Kallay, Michael 2 Kamenev, Georgy K. 2 Kühnel, Wolfgang 2 Kurnosenko, Alexey I. 2 Lacombe, Claude 2 Lassmann, Gunter 2 Okabe, Masayuki 2 Perles, Micha A. 2 Peters, Jorg 2 Reif, Ulrich 2 Stanley, Richard Peter 2 Sturmfels, Bernd 1 Affentranger, Fernando 1 Ait-Haddou, Rachid 1 Alexanderson, Gerald L. 1 Alon, Noga M. 1 Altınel, İsmail Kuban 1 Augsdorfer, Ursula H. 1 Baclawski, Kenneth 1 Ball, J. V. 1 Ball, Michael O. 1 Ballav, R. 1 Bárány, Imre 1 Barker, George Phillip 1 Barthe, Loïc 1 Belegundu, Ashok D. 1 Berglund, Alexander 1 Besau, Florian 1 Bezdek, András 1 Biard, Luc 1 Bisztriczky, Tibor 1 Böhm, Wolfgang 1 Bokowski, Jürgen G. 1 Bosse, Hartwig 1 Braun, Henry I. 1 Browder, Jonathan 1 Brunet, Pere 1 Brunotte, Horst 1 Budach, Lothar 1 Burton, Geoffrey R. 1 Chen, Beifang 1 Chui, Charles Kam-tai 1 Collins, Edmund J. 1 Cook, William John 1 Debrunner, Hans E. 1 Deza, Antoine 1 Dinh, Thanh Giang 1 Dodgson, Neil A. 1 Duchet, Pierre 1 Durodola, John F. 1 Dyer, Martin E. 1 Efremov, Roman V. 1 Emamy-K., M. Reza 1 Farin, Gerald E. 1 Fasshauer, Gregory E. 1 Fishburn, Peter Clingerman 1 Gajnanov, D. N. 1 Gardner, Richard J. 1 Gobithaasan, R. U. 1 Goldman, Ron N. 1 Goodman, Timothy N. T. 1 Grigor’ev, Dmitriĭ Yur’evich 1 Grötschel, Martin 1 Hettinga, Gerben Jan 1 Hochster, Melvin 1 Hosni, Hykel 1 Hussain, Maria 1 Ichim, Bogdan 1 Inoguchi, Jun-ichi ...and 93 more Authors
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#### Cited in 64 Serials

 21 Computer Aided Geometric Design 12 Discrete & Computational Geometry 11 Israel Journal of Mathematics 9 Discrete Mathematics 8 Journal of Combinatorial Theory. Series A 7 Journal of Computational and Applied Mathematics 6 Monatshefte für Mathematik 6 Transactions of the American Mathematical Society 5 European Journal of Combinatorics 4 Advances in Mathematics 4 Linear Algebra and its Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Archiv der Mathematik 3 Geometriae Dedicata 3 Results in Mathematics 3 Combinatorica 2 Information Processing Letters 2 International Journal for Numerical Methods in Engineering 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal of Geometry 2 Mathematische Zeitschrift 2 Mathematical Social Sciences 2 International Journal of Production Research 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Computational Geometry 2 European Journal of Operational Research 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Integral Equations and Operator Theory 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematical Programming 1 Nagoya Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Topology and its Applications 1 Advances in Applied Mathematics 1 OR Spektrum 1 SIAM Journal on Algebraic and Discrete Methods 1 Constructive Approximation 1 Journal of Computer Science and Technology 1 Annals of Operations Research 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Computational Statistics and Data Analysis 1 Computers and Mathematics with Applications. Part A 1 Mathematical Programming. Series A. Series B 1 Computational Complexity 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Journal of Applied Mathematics 1 Sādhanā 1 Bulletin of the American Mathematical Society 1 The Journal of Prime Research in Mathematics 1 Chebyshevskiĭ Sbornik 1 The Review of Symbolic Logic 1 Forum of Mathematics, Sigma
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#### Cited in 29 Fields

 88 Convex and discrete geometry (52-XX) 40 Numerical analysis (65-XX) 31 Combinatorics (05-XX) 23 Computer science (68-XX) 14 Geometry (51-XX) 13 Operations research, mathematical programming (90-XX) 10 Commutative algebra (13-XX) 10 Approximations and expansions (41-XX) 10 Manifolds and cell complexes (57-XX) 8 Differential geometry (53-XX) 7 Number theory (11-XX) 6 Mechanics of deformable solids (74-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Algebraic topology (55-XX) 3 Algebraic geometry (14-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX)