Found 78 Documents (Results 1–78)
Paul de Casteljau: the story of my adventure. From an autobiographical letter. (English) Zbl 07845517
MSC:
65Dxx
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface. (English) Zbl 1496.05078
A polynomial blossoming approach to stabilization of periodic time-varying systems. (English) Zbl 1491.93095
Nonlinear weighted average and blossoming. (English) Zbl 1450.65009
MSC:
65D10
Blossoming bijection for higher-genus maps. (English) Zbl 1414.05149
MSC:
05C30
The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions. (English) Zbl 1388.41019
Reviewer: Yuri A. Farkov (Moscow)
\(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function. (English) Zbl 1379.41014
Reviewer: Krzystof Gdawiec (Sosnowiec)
On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus. III: Blossoming. (English) Zbl 1418.65028
NURBS or not NURBS? (NURBS ou pas?) (English. French summary) Zbl 1347.41004
Reviewer: Martin D. Buhmann (Gießen)
A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines. (English) Zbl 1375.65018
Dimension elevation in Müntz spaces: a new emergence of the Müntz condition. (English) Zbl 1288.65017
Construction of quintic Powell-Sabin spline quasi-interpolants based on blossoming. (English) Zbl 1285.65006
Chebyshev blossoming in Müntz spaces: toward shaping with Young diagrams. (English) Zbl 1291.65051
Reviewer: Krzystof Gdawiec (Sosnowiec)
On multivariate polynomials in Bernstein-Bézier form and tensor algebra. (English) Zbl 1233.65016
Reviewer: H. P. Dikshit (Bhopal)
Triangular Bézier sub-surfaces on a triangular Bézier surface. (English) Zbl 1232.65029
Reviewer: Gabriela Cristescu (Arad)
Convexity preserving splines over triangulations. (English) Zbl 1229.65043
Reviewer: Juan Monterde (Burjasot)
A refinement of the variation diminishing property of Bézier curves. (English) Zbl 1210.65030
MSC:
65D17
Conversion between rational rectangular and rational triangular Bézier patches by blossoming method. (Chinese. English summary) Zbl 1174.65336
Real-time algebraic surface visualization. (English) Zbl 1126.65020
Hasle, Geir (ed.) et al., Geometric modelling, numerical simulation, and optimization: applied mathematics at SINTEF. Berlin: Springer (ISBN 978-3-540-68782-5/hbk). 163-183 (2007).
Two blossoming proofs of the Lane-Riesenfeld algorithm. (English) Zbl 1125.65015
Reviewer: Aurelian Bejancu (Safat)
Pseudoaffinity, de Boor algorithm, and blossoms. (English) Zbl 1122.65019
Reviewer: Ljubiša Kocić (Niš)
Choosing spline spaces for interpolation. (English) Zbl 1196.41006
Dumas, Jean-Guillaume (ed.), Transgressive computing 2006. A conference in honor of Jean Della Dora, Granada, España, April 24–26, 2006. Proceedings. Granada: Universidad de Granada (ISBN 84-689-8381-0/pbk). 311-326 (2006).
Reviewer: Martin D. Buhmann (Gießen)
Composition of parametrizations, using the paired algebras of forms and sites. (English) Zbl 1085.65020
MSC:
65D17
Towards existence of piecewise Chebyshevian B-spline bases. (English) Zbl 1103.41008
Reviewer: Martin D. Buhmann (Gießen)
Fundamental Bézier simplices. (English) Zbl 1079.65511
Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces: Tromsø2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1–6, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-4-X/hbk). Modern Methods in Mathematics, 373-386 (2005).
MSC:
65D17
Blossoming stories. (English) Zbl 1071.65016
Reviewer: Sonia Pérez Díaz (Madrid)
MSC:
65D17
Blossoming analytic functions using the paired algebras of forms and sites. (English) Zbl 1060.65535
Lucian, Miriam L. (ed.) et al., Geometric modeling and computing: Seattle 2003. Selected papers of the 8th SIAM conference on geometric design and computing, Seattle, WA, USA, November 9–13, 2003. Brentwood, TN: Nashboro Press (ISBN 0-0-9728482-3-1/hbk). Modern Methods in Mathematics, 249-278 (2004).
MSC:
65D17
Blossoms and optimal bases. (English) Zbl 1042.65016
Reviewer: H. P. Dikshit (New Delhi)
Toric Bézier patches with depth. (English) Zbl 1039.65014
Goldman, Ron (ed.) et al., Topics in algebraic geometry and geometric modeling. Proceedings of the workshop on algebraic geometry and geometric modeling, July 29–August 2, 2002, Vilnius, Lithuania. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3420-7/pbk). Contemp. Math. 334, 65-91 (2003).
B-spline bases and osculating flats: One result of H. -P. Seidel revisited. (English) Zbl 1027.65020
MSC:
65D17
Blossoming: From polynomials to power series. (English) Zbl 1034.65014
MSC:
65D17
The analytic blossom. (English) Zbl 0989.65026
Lyche, Tom (ed.) et al., Mathematical methods for curves and surfaces. 5th international conference, Oslo, Norway, June 29 - July 4, 2000. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 325-346 (2001).
Four properties to characterize Chebyshev blossoms. (English) Zbl 0987.65017
Reviewer: H.P.Dikshit (New Delhi)
MSC:
65D17
Quasi-Chebyshev splines with connection matrices: Application to variable degree polynomial splines. (English) Zbl 0978.41006
MSC:
41A15
Chebyshev splines beyond total positivity. (English) Zbl 0971.41006
Reviewer: E.Deeba (Houston)
MSC:
41A15
Curve and surface construction using variable degree polynomial splines. (English) Zbl 0938.68128
MSC:
68U05
Blossoming with cancellation. (English) Zbl 0997.65020
MSC:
65D17
Chebyshev-Bernstein bases. (English) Zbl 0997.65022
MSC:
65D17
Curves and surfaces in geometric modeling. Theory and algorithms. (English) Zbl 0988.65008
The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling. San Francisco, CA: Morgan Kaufmann. xvi, 491 p. $ 69.95/hbk (1999).
New control polygons for polynomial curves. (English) Zbl 0969.65014
Dubuc, Serge (ed.) et al., Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. CRM Proc. Lect. Notes. 18, 65-76 (1999).
MSC:
65D17
Piecewise smooth spaces in duality: Application to blossoming. (English) Zbl 0952.41010
Reviewer: H.P.Dikshit (Bhopal)
MSC:
41A15
Blossoming: A geometrical approach. (English) Zbl 0924.65010
Reviewer: Helmut Pottmann (Wien)
MSC:
65D17
Blossoming method to the dimension of the bivariate spline space. (Chinese. English summary) Zbl 0921.65003
A class of multivariate de Boor–Fix formulae. (English) Zbl 0908.68170
MSC:
68U05
Nested sequences of Chebyshev spaces and shape parameters. (English) Zbl 0922.65010
Reviewer: D.Braess (Bochum)
MSC:
65D17
Vandermonde type determinants and blossoming. (English) Zbl 0906.65014
Reviewer: H.Guggenheimer (West Hempstead)
Algorithms from blossoms. (English) Zbl 0938.65027
Le Méhauté, Alain (ed.) et al., Curves and surfaces with applications in CAGD. Vol. 1 of the proceedings of the 3rd international conference on Curves and surfaces, held in Chamonix-Mont-Blanc, France, June 27-July 3, 1996. Nashville, TN: Vanderbilt University Press. 287-294 (1997).
MSC:
65D17
A simple, efficient degree raising algorithm for B-spline curves. (English) Zbl 0896.65005
MSC:
65D07
A blossoming approach to accuracy of the degree elevation process. (English) Zbl 0869.65010
Reviewer: H.Guggenheimer (West Hempstead)
de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves. (English) Zbl 0854.41010
On the convergence of \(B\)-patch subdivision. (English) Zbl 0860.41012
Reviewer: M.Lenard (Kuwait)
MSC:
41A15
A blossoming approach to accuracy of the degree elevation process. (English. Abridged French version) Zbl 0845.65003
MSC:
65D17
An algorithmic approach to polynomials and splines. (Ein algorithmischer Zugang zu Polynomen und Splines.) (German) Zbl 0870.41006
MSC:
41A15
A blossoming approach to quasiinterpolants. (English) Zbl 0843.65013
Bainov, D. (ed.) et al., Proceedings of the third international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13-17, 1994. Utrecht: VSP. 201-207 (1995).
From Bernstein’s theorem to Walsh’s theorem. (Du théorème de Bernstein au théorème de Walsh.) (French) Zbl 0824.30003
David, Sinnou (ed.), Séminaire de théorie des nombres, Paris, France, 1991-92. Boston, MA: Birkhäuser. Prog. Math. 116, 73-88 (1994).
Reviewer: E.J.Barbeau (Toronto)
Multiplication as a general operation for splines. (English) Zbl 0815.65014
Laurent, Pierre-Jean (ed.) et al., Curves and surfaces in geometric design. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Wellesley, MA: A K Peters. 475-482 (1994).
Using general polar values as control points for polynomial curves. (English) Zbl 0805.65020
Reviewer: H.Guggenheimer (West Hempstead)
A new approach to polynomial spline-quasi-interpolation. (Ein neuer Zugang zur polynomialen Spline-Quasiinterpolation.) (German) Zbl 0838.41010
Hagen: FB Math., Fernuniv. Hagen, 108 S. (1993).
Reviewer: E.Quak (Schwerte)
Rational linear reparametrization of NURBS and the blossoming principle. (English) Zbl 0792.65007
Reviewer: G.Walz (Mannheim)
An introduction to blossoming. (English) Zbl 0791.41011
Goldman, Ronald N. (ed.) et al., Knot insertion and deletion algorithms for B-spline curves and surfaces. Philadelphia, PA: SIAM. 1-10 (1993).
MSC:
41A15
An implementation of triangular B-spline surfaces over arbitrary triangulations. (English) Zbl 0781.65010
Reviewer: A.López-Carmona (Granada)
MSC:
65D17
Blossoming Marsden’s identity. (English) Zbl 0818.65009
A characterization theorem of multivariate splines in blossoming form. (English) Zbl 0745.41010
Reviewer: W.Plesniak (Kraków)
Geometrische Verfahren der Graphischen Datenverarbeitung. (German) Zbl 0718.68003
Beiträge zur Graphischen Datenverarbeitung. Berlin etc.: Springer- Verlag. VIII, 362 p. (1990).
Reviewer: W.Böhm (Braunschweig)
Blossoming and knot insertion algorithms for B-spline curves. (English) Zbl 0713.65006
Reviewer: G.Grozev
Algebraic and differential geometric methods in C.A.G.D. (English) Zbl 0705.68101
Computation of curves and surfaces, Proc. NATO ASI, Puerto de la Cruz, Tenerife/Spain 1989, NATO ASI Ser., Ser. C 307, 425-455 (1990).
Reviewer: E.Ederle
De Boor-Fix functionals and polar forms. (English) Zbl 0702.65014
Reviewer: P.Narain
Blossoms are polar forms. (English) Zbl 0705.65008
A new multiaffine approach to B-splines. (English) Zbl 0666.65011
Reviewer: H.P.Dikshit
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