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    基于分割點的C-Bézier曲線降階逼近和誤差估計.pdf 38頁

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    REDUCTION APPROXIMATION AND ERROR ESTIMATES OFC-BéZIER CURVE BASED ON INFLECTION POINT DIVISION ABSTRACT Keeping the advantages of Bézier curves, C-Bézier curves could more convenient, concise, accurate express the conics. Reduction approximation of parametric Curves is the need of data transmission and exchange between the CAD systems, while reducing the amount of storage curves shape information. In practice, C-Bézier curves on the reduced-order approximation directly can not satisfy the allowable error, need to be Segmentation. However, with more ups and downs C-Bézier curve, the error in general still can not meet tolerance requirements, is usually spilt the curves for reduction approximation again. This paper presents a way to choose a suitable split points, such as the inflection point on the C-Bézier curves of reduced-order approximation, it can effectively improve the results of curve approximation , reducing the number of partitions and the computational complexity. II Chapter I describes the development process of nonparametric and the parametric curves and surfaces, summarizes the reduction theory history of parametric curves and surfaces. Chapter II firstly reviewed the definition and nature of the C-Bézier curves , and then analyzes the derivation of control points and the expression of post-split C-Bézier curves. Chapter III analyzes two classic reduction approximation methods on the application in C-Bézier curves, applying generalized inverse matrix method and Perturbation co

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