Found 454 Documents (Results 1–100)
Euler Bézier spirals and Euler B-spline spirals. (English) Zbl 07901447
MSC:
65D17
De Casteljau’s algorithm in geometric data analysis: theory and application. (English) Zbl 07845521
MSC:
65Dxx
Multivariate polynomial splines on generalized oranges. (English) Zbl 1534.41005
Reviewer: Martin D. Buhmann (Gießen)
Numerical algorithms for spline interpolation on space of probability density functions. (English) Zbl 1524.49032
A fully non-invasive hybrid IGA/FEM scheme for the analysis of localized non-linear phenomena. (English) Zbl 1515.74078
Isogeometric analysis of stress concentrations and failure strength in composite plates with circular holes using RHT-splines. (English) Zbl 1517.74085
On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming. (English) Zbl 1524.65063
Extended isogeometric analysis of a progressively fracturing fluid-saturated porous medium. (English) Zbl 1528.74112
Three-dimensional spline scaled boundary finite elements with high-order completeness. (English) Zbl 1535.74644
A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation. (English) Zbl 1540.65043
Characterisation of rational and NURBS developable surfaces in computer aided design. (English) Zbl 1499.65056
A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines. (English) Zbl 1524.65067
\(C^1\)-quartic butterfly-spline interpolation on type-1 triangulations. (English) Zbl 1479.41008
Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 11-26 (2021).
MSC:
41A15
Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parameters. (English) Zbl 1486.65023
Approximate multi-degree reduction of Q-Bézier curves via generalized Bernstein polynomial functions. (English) Zbl 1486.65022
Bézier and B-spline curves – a study and its application in wavelet decomposition. (English) Zbl 07237366
Shape adjustable \(C^2\) continuous quasi-cubic Bézier spline curve. (Chinese. English summary) Zbl 1449.65018
Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation. (English) Zbl 1415.65027
Point and differential \(C^1\) quasi-interpolation on three direction meshes. (English) Zbl 1432.65014
A numerical algorithm for \(C^2\)-splines on symmetric spaces. (English) Zbl 1401.41009
Reviewer: Josef Kofroň (Praha)
The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves. (English) Zbl 06912451
\(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree. (English) Zbl 1524.65065
Bivariate splines on Tohǎneanu partition. (English) Zbl 1439.41006
Reviewer: Martin D. Buhmann (Gießen)
Trivariate near-best blending spline quasi-interpolation operators. (English) Zbl 1400.41008
Reviewer: Aurelian Bejancu (Safat)
Bernstein-Bézier techniques for divergence of polynomial spline vector fields in \(\mathbb{R}^n\). (English) Zbl 1382.41010
Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth. (English) Zbl 1439.74203
Adaptive computation with splines on triangulations with hanging vertices. (English) Zbl 1385.65019
Fasshauer, Gregory E. (ed.) et al., Approximation theory XV: San Antonio 2016. Selected papers based on the presentations at the international conference, San Antonio, TX, USA, May 22–25, 2016. Cham: Springer (ISBN 978-3-319-59911-3/hbk; 978-3-319-59912-0/ebook). Springer Proceedings in Mathematics & Statistics 201, 197-218 (2017).
Caustics of spline curves. (English) Zbl 1399.65050
MSC:
65D07
Gardener’s spline curve. (English) Zbl 1399.65068
On multi-degree splines. (English) Zbl 1381.65008
Cubic spline approximation of a circle with maximal smoothness and accuracy. (English) Zbl 1377.65019
Bézier developable surfaces. (English) Zbl 1375.65024
MSC:
65D17
Smooth Bézier surfaces over unstructured quadrilateral meshes. (English) Zbl 1422.65006
Lecture Notes of the Unione Matematica Italiana 22. Cham: Springer (ISBN 978-3-319-63840-9/pbk; 978-3-319-63841-6/ebook). xx, 192 p. (2017).
Reviewer: Ivana Linkeová (Praha)
On comparison of estimation techniques for solar radiation missing data at alor setar and Penang area in northern peninsular Malaysia. (English) Zbl 1355.41004
Drawing curves. (English) Zbl 1356.65054
Dobashi, Yoshinori (ed.) et al., Mathematical progress in expressive image synthesis III. Selected and extended results from the symposium MEIS 2015, Fukuoka, Japan, September 25–27, 2015. Singapore: Springer (ISBN 978-981-10-1075-0/hbk; 978-981-10-1076-7/ebook). Mathematics for Industry 24, 95-106 (2016).
Interval extension of the cubic parametric curves. (Chinese. English summary) Zbl 1363.65025
MSC:
65D17
Approximation order of \(C^3\) quartic B-spline approximation of circular arc. (English) Zbl 1347.65040
Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming. (English) Zbl 1344.65022
Reviewer: H. P. Dikshit (Bhopal)
Linear differential operators on bivariate spline spaces and spline vector fields. (English) Zbl 1342.41010
Reviewer: Antonio López-Carmona (Granada)
Continuity and convergence in rational triangular Bézier spline based isogeometric analysis. (English) Zbl 1425.65188
A new B-spline representation for cubic splines over Powell-Sabin triangulations. (English) Zbl 1417.65070
Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis. (English) Zbl 1425.65035
The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement. (English) Zbl 1352.65041
Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry. (English) Zbl 1352.65592
Collision-free piecewise quadratic spline with regular quadratic obstacles. (English) Zbl 1356.65057
Reviewer: Nicoleta Breaz (Alba Iulia)
The shape parameter of 2-order trigonometric polynomial curves. (Chinese. English summary) Zbl 1349.65078
Quasi-Bernstein-Bézier polynomials over triangular domain with multiple shape parameters. (English) Zbl 1328.41009
Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions. (English) Zbl 1295.65016
A Hermite interpolatory subdivision scheme for \(C^2\)-quintics on the Powell-Sabin 12-split. (English) Zbl 1364.65031
Data fitting by toric Bézier patch. (Chinese. English summary) Zbl 1324.65028
Redundancy of smoothness conditions and supersmoothness of bivariate splines. (English) Zbl 1302.41015
MSC:
41A15
Introduction to applied geometry. (Einführung in die angewandte Geometrie.) (German) Zbl 1285.51001
Mathematik Kompakt. Basel: Birkhäuser/Springer (ISBN 978-3-0346-0143-6/pbk; 978-3-0346-0651-6/ebook). x, 127 p. (2014).
Reviewer: Rolf Riesinger (Wien)
Circle approximation by quartic \(g^2\) spline using alternation of error function. (English) Zbl 1316.65021
An investigation of L-surface and W-surface on triangular mesh. (Chinese. English summary) Zbl 1299.65029
MSC:
65D17
Approximation and modeling with B-splines. (English) Zbl 1285.65005
Other Titles in Applied Mathematics 132. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-94-8/pbk). xiii, 214 p. (2013).
Reviewer: Nicoleta Breaz (Alba Iulia)
Approximate spline of \(G^2\)-continuity on a generalized hyperbolic paraboloid. (English) Zbl 1269.65018
Reviewer: Krzystof Gdawiec (Sosnowiec)
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. (English) Zbl 1264.41014
Reviewer: Martin D. Buhmann (Gießen)
Digital functions and data reconstruction. Digital-discrete methods. (English) Zbl 1325.65024
New York, NY: Springer (ISBN 978-1-4614-5637-7/hbk; 978-1-4614-5638-4/ebook). xix, 207 p. (2013).
Reviewer: Manfred Tasche (Rostock)
An approximation method to circular arcs. (English) Zbl 1288.65020
MSC:
65D17
Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. (English) Zbl 1312.65197
Study of the smooth degree of the closed C-Bézier and the B-type spline curve. (Chinese. English summary) Zbl 1265.65029
Approximation to the clothoid in the same length via \(\mathrm{G}^1\) quintic Pythagorean hodograph splines. (Chinese. English summary) Zbl 1265.65032
Curve construction based on five trigonometric blending functions. (English) Zbl 1259.65023
Reviewer: Manfred Tasche (Rostock)
Certified approximation of parametric space curves with cubic \(B\)-spline curves. (English) Zbl 1251.65014
Reviewer: Costică Moroşanu (Iaşi)
MSC:
65D17
Approximation power of polynomial splines on \(T\)-meshes. (English) Zbl 1254.65022
Reviewer: Martin D. Buhmann (Gießen)
Local Hermite interpolation by bivariate \(C^1\) cubic splines on checkerboard triangulations. (English) Zbl 1264.41002
Reviewer: Aurelian Bejancu (Safat)
Dimension of bivariate spline space of degree six on uniform type-2 triangulation. (English) Zbl 1258.41004
Reviewer: Antonio López-Carmona (Granada)
L-systems in geometric modeling. (English) Zbl 1254.68316
Reviewer: Krzystof Gdawiec (Sosnowiec)
Optimal Lagrange interpolation with bivariate \(C^1\) quadratic splines of Powell-Sabin triangulations. (English) Zbl 1248.41007
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