Monotonicity-preserving <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si42.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> rational cubic spline for monotone data

Abbas, Muhammad; Majid, Ahmad Zuhairi Abdul; Ali, Jamaludin Md.

doi:10.1016/j.amc.2012.09.007

Cited by 28 publications

References 4 publications

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“…From all numerical results, it can be seen clearly that the proposed 2 C rational cubic spline works very well and it is comparable with existing schemes such as Abbas [4], Abbas et al [1] and Sarfraz et al [19]. Future work will be focusing on other shape preserving criteria.…”

Section: Discussionmentioning

confidence: 85%

“…Meanwhile from Fig. 1(f), shows that PCHIP also can produce the monotonic interpolating curves but not visually pleasing and some part of interpolating curves very tight and the smoothness is only 1 C .…”

Section: Numerical Demonstrationsmentioning

confidence: 99%

“…Figs. 1(b) and 1(c) show the monotonic interpolating by using the rational spline schemes by Sarfraz et al [19] and Abbas et al [1] respectively. Fig.…”

Section: Numerical Demonstrationsmentioning

confidence: 99%

“…Some literature reviews are as follows: Delbourgo and Gregory [6,7] have discussed the monotonicity and convexity preservation by using rational cubic spline (quadratic denominator) with one parameter. Sarfraz [18], Sarfraz et al [19] and Abbas et al [1] also studied the use of rational cubic interpolant for preserving the monotone data. Meanwhile Hussain and Hussain [11] and Hussain et al [12] studied monotonicity preserving for curves and surfaces by utilizing rational cubic spline with quadratic denominator-without any degree freedom i.e.…”

Section: Introductionmentioning

confidence: 99%

“…free parameters for shape modification. Abbas et al [1] discussed the monotonicity by using 2 C rational cubic spline with two free parameters. This paper is a continuation from our previous works (Karim and Kong [14]).…”

Section: Introductionmentioning

confidence: 99%

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Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C² Continuity

Karim

2017

MATEC Web Conf.

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Abstract. Monotonicity preserving interpolation is very important in many sciences and engineering based problems. This paper discuss the monotonicity preserving interpolation for monotone data set by using 2 C rational cubic spline interpolant (cubic/quadratic) with three parameters. The data dependent sufficient conditions for the monotonicity are derived with two degree freedom. Numerical results suggests that the proposed 2 C rational cubic spline preserves the monotonicity of the data and outperform the performance of the other rational cubic spline schemes in term of visually pleasing.

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Section: Discussionmentioning

confidence: 85%

Section: Numerical Demonstrationsmentioning

confidence: 99%

“…Figs. 1(b) and 1(c) show the monotonic interpolating by using the rational spline schemes by Sarfraz et al [19] and Abbas et al [1] respectively. Fig.…”

Section: Numerical Demonstrationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C² Continuity

Karim

2017

MATEC Web Conf.

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Monotonicity-preserving C2 rational cubic spline for monotone data

Cited by 28 publications

References 4 publications

Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C² Continuity

Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C² Continuity

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Monotonicity-preserving C2 rational cubic spline for monotone data

Cited by 28 publications

References 4 publications

Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity

Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C2 Continuity

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Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C² Continuity

Rational Cubic Spline Interpolation for Monotonic Interpolating Curve with C² Continuity