TENSION QUARTIC TRIGONOMETRIC BEZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE

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LAMNII A.; OUMELLAL F.; DABOUNOUA J.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2015 | Volume:5 | Issue:2 Page(s): 99-109

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Title

TENSION QUARTIC TRIGONOMETRIC BEZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE

Author(s)

LAMNII A. | OUMELLAL F. | DABOUNOUA J. | Issue Writer Certificate

Keywords

TRIGONOMETRIC BEZIER CURVES

TENSION PARAMETER

SHAPE PARAMETER

INTERPOLATION

Abstract

In this paper simple quartic trigonometric polynomial blending functions, with a TENSION PARAMETER, are presented. These type of functions are useful for constructing TRIGONOMETRIC BEZIER CURVES and surfaces, they can be applied to construct continuous shape preserving INTERPOLATION spline curves with SHAPE PARAMETERs. To better visualize objects and graphics a TENSION PARAMETER is included. In this work we constructed the TRIGONOMETRIC BEZIER CURVES followed by a construction of the shape preserving INTERPOLATION spline curves with local SHAPE PARAMETERs and finally several numerical examples are presented such as open shape preserving INTERPOLATION curve, closed shape preserving INTERPOLATION curve and surfaces. As a direct application we computed the area surrounded by a closed curve.

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APA: Copy

LAMNII, A.. (2015). TENSION QUARTIC TRIGONOMETRIC BEZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 5(2), 99-109. SID. https://sid.ir/paper/328360/en

Vancouver: Copy

LAMNII A.. TENSION QUARTIC TRIGONOMETRIC BEZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2015;5(2):99-109. Available from: https://sid.ir/paper/328360/en

IEEE: Copy

A. LAMNII, “TENSION QUARTIC TRIGONOMETRIC BEZIER CURVES PRESERVING INTERPOLATION CURVES SHAPE,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 5, no. 2, pp. 99–109, 2015, [Online]. Available: https://sid.ir/paper/328360/en

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