Curve and surface construction using variable degree polynomial splines

Computer Aided Geometric Design ◽

10.1016/s0167-8396(00)00010-8 ◽

2000 ◽

Vol 17 (5) ◽

pp. 419-446 ◽

Author(s):

Paolo Costantini

Keyword(s):

Variable Degree ◽

Polynomial Splines ◽

Degree Polynomial ◽

Surface Construction

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Quasi-Chebyshev splines with connection matrices: application to variable degree polynomial splines

Computer Aided Geometric Design ◽

10.1016/s0167-8396(01)00031-0 ◽

2001 ◽

Vol 18 (3) ◽

pp. 287-298 ◽

Author(s):

Marie-Laurence Mazure

Keyword(s):

Variable Degree ◽

Polynomial Splines ◽

Degree Polynomial ◽

Connection Matrices ◽

Chebyshev Splines

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Shape-preserving interpolation with variable degree polynomial splines

Advanced Course on FAIRSHAPE ◽

10.1007/978-3-322-82969-6_8 ◽

1996 ◽

pp. 87-114 ◽

Author(s):

Paolo Costantini

Keyword(s):

Variable Degree ◽

Polynomial Splines ◽

Degree Polynomial ◽

Shape Preserving ◽

Shape Preserving Interpolation

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Variable degree polynomial splines are Chebyshev splines

Advances in Computational Mathematics ◽

10.1007/s10444-011-9242-z ◽

2011 ◽

Vol 38 (2) ◽

pp. 383-400 ◽

Author(s):

Tina Bosner ◽

Mladen Rogina

Keyword(s):

Variable Degree ◽

Polynomial Splines ◽

Degree Polynomial ◽

Chebyshev Splines

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C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree

Geometric Modelling ◽

10.1007/978-3-7091-6270-5_8 ◽

2001 ◽

pp. 119-154 ◽

Author(s):

N. C. Gabrielides ◽

P. D. Kaklis

Keyword(s):

Variable Degree ◽

Polynomial Splines ◽

Shape Preserving

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PROPERTIES AND APPLICATIONS OF NEW POLYNOMIAL SPACES

International Journal of Wavelets Multiresolution and Information Processing ◽

10.1142/s0219691306001403 ◽

2006 ◽

Vol 04 (03) ◽

pp. 489-507 ◽

Author(s):

PAOLO COSTANTINI

Keyword(s):

Spline Functions ◽

Variable Degree ◽

Polynomial Space ◽

Degree Polynomial ◽

Tension Properties ◽

Dimensional Variable

The aim of this paper is to describe a new five-dimensional, variable degree polynomial space. This space has the same properties of P4 and possesses generalized tension properties, in the sense that it is close to P2 for large values of the degrees. Its applications in the construction of spline functions will also be discussed.

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Some new linear relations for odd degree polynomial splines at mid-points

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.59.24 ◽

1983 ◽

Vol 59 (1) ◽

pp. 24-25 ◽

Author(s):

Manabu Sakai

Keyword(s):

Polynomial Splines ◽

Degree Polynomial ◽

Linear Relations ◽

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MINIMUM NORM PROPERTIES OF EVEN DEGREE POLYNOMIAL SPLINES WITH RESPECT TO FRACTIONAL DIFFERENTIATION OPERATORS

IFAC Proceedings Volumes ◽

10.3182/20060719-3-pt-4902.00019 ◽

2006 ◽

Vol 39 (11) ◽

pp. 112-117

Author(s):

Wolfgang A. Halang

Keyword(s):

Minimum Norm ◽

Fractional Differentiation ◽

Polynomial Splines ◽

Degree Polynomial

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The Numerical Calculation of Odd-degree Polynomial Splines with Equi-spaced Knots

IMA Journal of Applied Mathematics ◽

10.1093/imamat/7.3.384 ◽

1971 ◽

Vol 7 (3) ◽

pp. 384-397 ◽

Author(s):

E. L. ALBASINY ◽

W. D. HOSKINS

Keyword(s):

Numerical Calculation ◽

Polynomial Splines ◽

Degree Polynomial ◽

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C1sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.03.020 ◽

2018 ◽

Vol 343 ◽

pp. 662-707 ◽

Author(s):

Nikolaos C. Gabrielides ◽

Nickolas S. Sapidis

Keyword(s):

Hermite Polynomial ◽

Variable Degree ◽

Polynomial Splines

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A topological spline system approach to even degree polynomial splines

Numerical Functional Analysis and Optimization ◽

10.1080/01630568708816258 ◽

1987 ◽

Vol 9 (7-8) ◽

pp. 725-742 ◽

Author(s):

Wolfgang A. Halang

Keyword(s):

System Approach ◽

Polynomial Splines ◽

Degree Polynomial

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