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Keywords
(1)
Rational Interpolation
Related Publications
(4)
Piecewise rational quadratic interpolation to monotonic data
Constrained Visualization of 2D Positive Data using Modified Quadratic Shepard Method
Convexitypreser...
An interpolation curve using a spline in tension
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Shape Preserving Piecewise Rational Interpolation
Shape Preserving Piecewise Rational Interpolation,10.1137/0906065,Siam Journal on Scientific and Statistical Computing,R. Delbourgo,J. A. Gregory
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Shape Preserving Piecewise Rational Interpolation
(
Citations: 41
)
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R. Delbourgo
,
J. A. Gregory
Journal:
Siam Journal on Scientific and Statistical Computing
, vol. 6, no. 4, 1985
DOI:
10.1137/0906065
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The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
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link.aip.org
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(
bura.brunel.ac.uk
)
Citation Context
(19)
...quadratic and cubic spline interpolation techniques have been adopted in [1, 4,
6
, 8, 1417] for the shape preserving curves, in which degree of smoothness attained is 1...
...Sarfraz, Hussain and Butt [17], Delbourg and Gregory [
6
], have discussed the piecewise cubic interpolation to positive data...
Muhammad Sarfraz
,
et al.
Visualization of Positive Data by Rational Cubic Spline Interpolant
...For brevity the reader is being referred to Delbourgo and Gregory
2
, Gregory and Sarfraz
7
, Sarfraz
12
,
11
, Sarfraz and Hussain
13
, Fahr and Kallay
3
, Hussain and Hussain
9
and references therein...
Malik Zawwar Hussain
,
et al.
Monotone piecewise rational cubic interpolation
...For more details, ones can be referred the references in [
118
] and papers cited therein...
...By using the result in Proposition 2 we obtained visual pleasing curve that preserve the positivity features from the data as we can see clearly from Fig. 2 and Fig. 4. From Fig. 4 we can see that the interpolating curve only preserve positivity but not preserve the monotonicity on interval [0,
2
]...
Samsul Ariffin Abdul Karim
,
et al.
Visualization of Positive and Monotone Data by Rational Quadratic Spli...
...Usually, a shapepreserving scheme is based on a suitable space of functions (exponentials, rationals, variable degree polynomials, ... ) depending on some shape parameters which deeply affect the quality of the resulting approximant (see, e.g., [2,
6
, 13, 14, 27] and references quoted therein)...
Paolo Costantini
,
et al.
On Constrained Nonlinear Hermite Subdivision
...The idea of using rational quadratic splines in the univariate case dates back to Delbourgo and Gregory [8] [17] [
9
] [15] [16]...
Paul Sablonnière
.
Shape Preserving Hermite Interpolation by Rational Biquadratic Splines
References
(8)
Monotone piecewise cubic interpolation
(
Citations: 301
)
F. N. Fritsch
,
R. E. Carlson
Journal:
Siam Journal on Numerical Analysis  SIAM J NUMER ANAL
, vol. 17, no. 2, 1980
Piecewise rational quadratic interpolation to monotonic data
(
Citations: 13
)
J. A. Gregory
,
R. Delbourgo
Published in 1982.
Algorithms for Computing Shape Preserving Spline Interpolations to Data
(
Citations: 27
)
David F. McAllister
,
Eli Passow
,
John A. Roulier
Journal:
Mathematics of Computation  Math. Comput.
, vol. 31, no. 139, pp. 717717, 1977
An Algorithm for Computing a ShapePreserving Osculatory Quadratic Spline
(
Citations: 55
)
David F. McAllister
,
John A. Roulier
Journal:
ACM Transactions on Mathematical Software  TOMS
, vol. 7, no. 3, pp. 331347, 1981
C 2 Rational Quadratic Spline Interpolation to Monotonic Data
(
Citations: 15
)
R. DELBOURGO
,
J. A. GREGORY
Journal:
Ima Journal of Numerical Analysis  IMA J NUMER ANAL
, vol. 3, no. 2, pp. 141152, 1983
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Citations
(41)
Observation of damage evolution in polymer bonded explosives using acoustic emission and digital image correlation
Xian Wang
,
Shaopeng Ma
,
Yingtao Zhao
,
Zhongbin Zhou
,
Pengwan Chen
Journal:
Polymer Testing  POLYM TEST
, vol. 30, no. 8, pp. 861866, 2011
Curve and surface construction using Hermite subdivision schemes
(
Citations: 2
)
Paolo Costantini
,
Carla Manni
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 233, no. 7, pp. 16601673, 2010
A geometric approach for Hermite subdivision
(
Citations: 1
)
Paolo Costantini
,
Carla Manni
Journal:
Numerische Mathematik  NUMER MATH
, vol. 115, no. 3, pp. 333369, 2010
Polynomial cubic splines with tension properties
Paolo Costantini
,
Panagiotis D. Kaklis
,
Carla Manni
Journal:
Computer Aided Geometric Design  CAGD
, vol. 27, no. 8, pp. 592610, 2010
Visualization of Positive Data by Rational Cubic Spline Interpolant
Muhammad Sarfraz
,
Malik Zawwar Hussain
,
Tahira Sumbal Shaikh
Conference:
International Conference on Information Visualisation  IV
, pp. 564569, 2010