Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  is concerned with a new generalization of rational Bernstein-Bezier curves involving q -integers as shape parameters. A one parameter family of rational Bernstein-Bezier curves, ighted Lupas q -Bezier curves, is constructed based on a set of Lupas q -analogue of Bernstein functions which is proved to be a normalized totally positive basis. The generalized rational Bezier curve is investigated from a geometric point of view. The investigation provides the geometric meaning of the ights and the representation for conic sections.  also obtain degree evaluation and de Casteljau algorithms by means of homogeneous coordinates. Numerical examples show that ighted Lupas q -Bezier curves have more modeling flexibility than classical rational Bernstein-Bezier curves and Lupas q -Bezier curves, and meanwhile they provide better approximations to the control polygon than rational Phillips q -Bezier curves.
['Li-Wen Han', 'Ya-Sha Wu', 'Ying Chu']
I am writing a research paper on a idea Weighted Lupaş q -Bézier curves
[{"from": "human", "value": "I am writing a research paper on a idea Weighted Lupa\u015f q -B\u00e9zier curves"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  is concerned with a new generalization of rational Bernstein-Bezier curves involving q -integers as shape parameters. A one parameter family of rational Bernstein-Bezier curves, ighted Lupas q -Bezier curves, is constructed based on a set of Lupas q -analogue of Bernstein functions which is proved to be a normalized totally positive basis. The generalized rational Bezier curve is investigated from a geometric point of view. The investigation provides the geometric meaning of the ights and the representation for conic sections.  also obtain degree evaluation and de Casteljau algorithms by means of homogeneous coordinates. Numerical examples show that ighted Lupas q -Bezier curves have more modeling flexibility than classical rational Bernstein-Bezier curves and Lupas q -Bezier curves, and meanwhile they provide better approximations to the control polygon than rational Phillips q -Bezier curves."}]