Found 201 Documents (Results 1–100)
\(G^2\) blending of cubic Pythagorean hodograph curves with prescribed total arc length. (English) Zbl 1499.65057
Heterogeneous parametric trivariate fillets. (English) Zbl 1469.65052
MSC:
65D17
A new simultaneous extension method for B-spline curves blending with \(G^2\)-continuity. (English) Zbl 1453.65037
Construction of the cubic \(\lambda \mu\)-\(\alpha\)-DP curve with two kinds of shape parameters. (Chinese. English summary) Zbl 1449.65027
Ternary subdivision schemes that blend interpolating and approximating. (Chinese. English summary) Zbl 1438.65023
The construction of AT-\(\beta\)-spline curve and surface meeting with geometric continuity. (Chinese. English summary) Zbl 1424.65011
Symmetries of canal surfaces and Dupin cyclides. (English) Zbl 1381.65010
MSC:
65D17
A family of non-uniform subdivision schemes with variable parameters for curve design. (English) Zbl 1426.65024
MSC:
65D17
Discontinuous Galerkin based isogeometric analysis for geometric flows and applications in geometric modeling. (English) Zbl 1384.65065
Convexity/concavity and stability aspects of rational cubic fractal interpolation surfaces. (English) Zbl 1380.28009
Statistical and geometrical way of model selection for a family of subdivision schemes. (English) Zbl 1381.65014
MSC:
65D17
Some classes of surfaces generated by Nielson and Marshall type operators on the triangle with one curved side. (English) Zbl 1389.41001
Smooth blending of rational trigonometric Bezier curves and surfaces. (Chinese. English summary) Zbl 1374.65018
A class of trigonometric Bézier curve and surface which satisfy \(G^2\) continuity. (Chinese. English summary) Zbl 1374.65019
Tetrisation of triangular meshes and its application in shape blending. (English) Zbl 1356.65048
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, 7-19 (2016).
MSC:
65D17
Partially blended constrained rational cubic trigonometric fractal interpolation surfaces. (English) Zbl 1354.28004
MSC:
28A80
A new class of fractal interpolation surfaces based on functional values. (English) Zbl 1343.65010
Reviewer: Martin D. Buhmann (Gießen)
Recognizing implicitly given rational canal surfaces. (English) Zbl 1359.14053
Reviewer: Nelly Villamizar (Linz)
A novel approach to surface interpolation: marriage of Coons technique and univariate fractal functions. (English) Zbl 1339.65024
Agrawal, P. N. (ed.) et al., Mathematical analysis and its applications. Proceedings of the international conference on recent trends in mathematical analyis and its applications, ICRTMAA 2014, Roorkee, India, December 21–23, 2014. New Delhi: Springer (ISBN 978-81-322-2484-6/hbk; 978-81-322-2485-3/ebook). Springer Proceedings in Mathematics & Statistics 143, 577-592 (2015).
A monotonic rational fractal interpolation surface and its analytical properties. (English) Zbl 1325.65025
Mohapatra, Ram N. (ed.) et al., Mathematics and computing. Selected papers based on the presentations at the 2nd international conference, ICMC, Haldia, India, January 5–10, 2015. New Delhi: Springer (ISBN 978-81-322-2451-8/hbk; 978-81-322-2452-5/ebook). Springer Proceedings in Mathematics & Statistics 139, 203-222 (2015).
Positive blending Hermite rational cubic spline fractal interpolation surfaces. (English) Zbl 1310.28005
A rational interpolation surface model and visualization constraint. (Chinese. English summary) Zbl 1488.65027
Surfaces from curves on triangular surfaces in barycentric coordinates. (English) Zbl 1440.65031
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 619-627 (2014).
MSC:
65D17
\(\mathcal{C}^{1}\)-rational cubic fractal interpolation surface using functional values. (English) Zbl 1317.65051
Bandt, Christoph (ed.) et al., Fractals, wavelets, and their applications. Contributions from the international conference and workshop on fractals and wavelets, Kerala, India, November 9–12, 2013. Cham: Springer (ISBN 978-3-319-08104-5/hbk; 978-3-319-08105-2/ebook). Springer Proceedings in Mathematics & Statistics 92, 349-367 (2014).
An extension of Bézier curve and its application. (Chinese. English summary) Zbl 1313.65026
MSC:
65D17
On the parameterization of rational ringed surfaces and rational canal surfaces. (English) Zbl 1302.65047
Constructive \(G^1\) connection of multiple freeform pipes in arbitrary poses. (English) Zbl 1283.65013
MSC:
65D17
Reconstruction of curves with minimal energy using a blending interpolator. (English) Zbl 1273.65029
New extensions of quadratic uniform B-spline curves and their applications. (Chinese. English summary) Zbl 1265.65020
MSC:
65D17
Curve construction based on five trigonometric blending functions. (English) Zbl 1259.65023
Reviewer: Manfred Tasche (Rostock)
A convexity test for control point based curves. (English) Zbl 1265.65023
MSC:
65D17
A class of quasi-cubic uniform \(B\)-spline curves with two shape parameters. (Chinese. English summary) Zbl 1249.65035
Some researches on regularity for trivariate Lagrange interpolation. (Chinese. English summary) Zbl 1249.65021
Quadratic blending spline curves based on weighted algebraic and trigonometric polynomials. (Chinese. English summary) Zbl 1249.65037
Constructing of blending HC Bézier-like curve preserving continuity. (Chinese. English summary) Zbl 1240.65057
MSC:
65D17
Local progressive-iterative approximation format for blending curves and patches. (English) Zbl 1210.65042
Polyhedral vertex blending with setbacks using rational S-patches. (English) Zbl 1209.65025
MSC:
65D17
Non-uniform quadratic weighted trigonometric hyperbolic spline curves. (Chinese. English summary) Zbl 1224.65028
Blending implicit interval curves and surfaces. (English) Zbl 1181.65023
MSC:
65D17
Scattered data points best interpolation as a problem of the best recovery in the sense of Sard. (English) Zbl 1224.41091
Reviewer: Boško Jovanović (Beograd)
The constructing method of fairing blending surfaces by heat equation and energy optimization. (Chinese. English summary) Zbl 1212.65070
On the representation of Dupin cyclides in Lie sphere geometry with applications. (English) Zbl 1187.68643
Construction of flexible blending parametric surfaces via curves. (English) Zbl 1178.65016
Reviewer: Ivana Linkeová (Praha)
MSC:
65D17
On the quartic curve of Han. (English) Zbl 1155.65017
Linear singular blending C-B spline curve. (Chinese. English summary) Zbl 1199.65036
Rational combinations of surface patches. (English) Zbl 1178.65018
MSC:
65D17
New extension of uniform cubic B-spline curve with multiple local shape parameters. (Chinese. English summary) Zbl 1174.65324
Generation of parametric \(G^n\) blending surfaces based on the relative direction of the base surfaces. (Chinese. English summary) Zbl 1174.68721
\(G^{1}\) blending B-spline surfaces and optimization. (English) Zbl 1160.90688
Le Thi, Hoai An (ed.) et al., Modelling, computation and optimization in information systems and management sciences. Second international conference MCO 2008, Metz, France - Luxembourg, September 8–10, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-87476-8/pbk). Communications in Computer and Information Science 14, 458-467 (2008).
Construction of blending surfaces by parametric discrete interpolation PDE splines. (English) Zbl 1145.65007
Reviewer: Ivana Linkeová (Praha)
Blending of two cylinders with axes in different planes. (Chinese. English summary) Zbl 1150.65327
MSC:
65D18
\(G^1\) or \(G^2\)-continuous parametric of the cubic B spline curve. (Chinese. English summary) Zbl 1120.65019
Extension of the uniform quadratic B-spline curve with three parameters. (Chinese. English summary) Zbl 1118.65009
Parameterization of a kind of quartic implicit algebraic surfaces. (Chinese. English summary) Zbl 1104.65016
MSC:
65D17
Smoothly blending of three quadratic algebraic surfaces along planar sections. (Chinese. English summary) Zbl 1104.65017
MSC:
65D17
The HybridTree: mixing skeletal implicit surfaces, triangle meshes, and point sets in a free-form modeling system. (English) Zbl 1103.68920
Bézier curves with shape parameter. (Chinese. English summary) Zbl 1096.65007
MSC:
65D17
Discrete surface modelling using partial differential equations. (English) Zbl 1083.65018
MSC:
65D17
An extension of the cubic non-uniform \(B\)-spline curve. (Chinese. English summary) Zbl 1087.65509
An extension of Bézier curve. (Chinese. English summary) Zbl 1087.65511
MSC:
65D17
Constructing piecewise algebraic blending surfaces. (English) Zbl 1086.65504
Chen, Falai (ed.) et al., Geometric computation. River Edge, NJ: World Scientific (ISBN 981-238-799-4/hbk). Lecture Notes Series on Computing 11, 34-64 (2004).
Multisided arrays of control points for multisided Bézier patches. (English) Zbl 1069.65519
MSC:
65D17
A derivative method for the blending functions of B spline curve with the help of those of Bezier curve. (Japanese) Zbl 1070.65508
MSC:
65D17
Blending curves for landing problems by numerical differential equations. III: Separation techniques. (English) Zbl 1077.65015
Surface blending using a power series solution to fourth order partial differential equations. (English) Zbl 1060.65550
Geometric B-splines over triangular domains. (English) Zbl 1060.65538
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, 329-340 (2004).
MSC:
65D17
A curve blending algorithm suitable for grid generation. (English) Zbl 1060.65536
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, 279-284 (2004).
MSC:
65D17
Blending of surfaces of revolution and planes by Dupin cyclices. (English) Zbl 1060.65534
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, 215-227 (2004).
MSC:
65D17
Implicit equations of supercyclides. (English) Zbl 1059.65017
Neamtu, Marian (ed.) et al., Advances in constructive approximation: Vanderbilt 2003. Proceedings of the international conference, Nashville, TN, USA, May 14–17, 2003. Brentwood, TN: Nashboro Press (ISBN 0-9728482-2-3/hbk). Modern Methods in Mathematics, 177-189 (2004).
MSC:
65D17
Interpolation with slackness and continuity control and convexity-preservation using singular blending. (English) Zbl 1063.65013
Blending pipe surface by ringed surface and its continuity. (Chinese. English summary) Zbl 1050.65015
Reviewer: Du Ding-Zhu (Minneapolis)
MSC:
65D17
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