The B-spline curves have been grasped tremendous achievements inside the widely identified field of Computer Aided Geometric Design (CAGD). In CAGD, spline functions have been used for the designing of various objects. In this paper, new Quadratic Trigonometric B-spline (QTBS) functions with two shape parameters are introduced. The proposed QTBS functions inherit the basic properties of classical B-spline and have been proved in this paper. The proposed scheme associated with two shape parameters where the classical B-spline functions do not have. The QTBS has been used for designing of different parts of airplane like winglet, airfoil, turbo-machinery blades and vertical stabilizer. The designed part can be controlled or changed using free parameters. The effect of shape parameters is also expressed.
Citation: Abdul Majeed, Muhammad Abbas, Amna Abdul Sittar, Md Yushalify Misro, Mohsin Kamran. Airplane designing using Quadratic Trigonometric B-spline with shape parameters[J]. AIMS Mathematics, 2021, 6(7): 7669-7683. doi: 10.3934/math.2021445
The B-spline curves have been grasped tremendous achievements inside the widely identified field of Computer Aided Geometric Design (CAGD). In CAGD, spline functions have been used for the designing of various objects. In this paper, new Quadratic Trigonometric B-spline (QTBS) functions with two shape parameters are introduced. The proposed QTBS functions inherit the basic properties of classical B-spline and have been proved in this paper. The proposed scheme associated with two shape parameters where the classical B-spline functions do not have. The QTBS has been used for designing of different parts of airplane like winglet, airfoil, turbo-machinery blades and vertical stabilizer. The designed part can be controlled or changed using free parameters. The effect of shape parameters is also expressed.
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Abdul Majeed, Muhammad Abbas, Amna Abdul Sittar, Md Yushalify Misro, Mohsin Kamran. Airplane designing using Quadratic Trigonometric B-spline with shape parameters[J]. AIMS Mathematics, 2021, 6(7): 7669-7683. doi: 10.3934/math.2021445
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