منابع مشابه
The cubic trigonometric Bézier curve with two shape parameters
A new type of cubic trigonometric Bézier curve has been introduced in [1]. This trigonometric curve has two global shape parameters λ and μ. We give a lower boundary to the shape parameters where the curve has lost the variation diminishing property. In this paper the relationship of the two shape parameters and their geometric effect on the curve is discussed. These shape parameters are indepe...
متن کاملA cubic Bézier model with shape parameters
A novel extension of the cubic Bézier curve with two shape parameters is presented in this work. The proposed curve is still a cubic polynomial model, which has simpler structure than other similar models. The proposed curve has the same properties with the usual cubic Bézier curve and its shape can be adjusted by altering values of the two shape parameters while the control points are fixed. W...
متن کاملQuasi-Bézier Curves with Shape Parameters
The universal form of univariate Quasi-Bézier basis functions with multiple shape parameters and a series of corresponding QuasiBézier curveswere constructed step-by-step in this paper, using themethod of undetermined coefficients.The series ofQuasi-Bézier curves had geometric and affine invariability, convex hull property, symmetry, interpolation at the endpoints and tangent edges at the endpo...
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Optical coherence tomography (OCT) allows three-dimensional (3D) imaging of the retina, and is commonly used for assessing pathological changes of fovea and macula in many diseases. Many neuroinflammatory conditions are known to cause modifications to the fovea shape. In this paper, we propose a method for parametric modeling of the foveal shape. Our method exploits invariant features of the ma...
متن کاملThe Rational Quadratic Trigonometric Bézier Curve with Two Shape Parameters
A rational quadratic trigonometric Bézier curve with two shape parameters, which is analogous to cubic Bézier curve, is presented in this paper. The shape of the curve can be adjusted as desired, by simply altering the value of shape parameters, without changing the control polygon. The rational quadratic trigonometric Bézier curve can be made close to the rational cubic Bézier curve or closer ...
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ژورنال
عنوان ژورنال: Applied and Computational Mathematics
سال: 2014
ISSN: 2328-5605
DOI: 10.11648/j.acm.20140306.19