New Trigonometric Basis Possessing Denominator Shape Parameters
نویسندگان
چکیده
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...
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In this paper a new kind of quasi-quartic trigonometric polynomial base functions with two shape parameters λ and μ over the space Ω = span {1, sin t, cos t, sin2t, cos2t, sin3t, cos3t} is presented and the corresponding quasi-quartic trigonometric Bézier curves and surfaces are defined by the introduced base functions. Each curve segment is generated by five consecutive control points. The sha...
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The shape features of planar trigonometric Bézier curves with two shape parameters are analyzed. The necessary and sufficient conditions are derived for these curves having one or two inflection points, a loop or a cusp, or be locally or globally convex. All conditions are completely characterized by the relative position of the control polygon’s side vectors. Furthermore we discussed the influ...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2018
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2018/9569834