Study on interpolation approach for 3d parametric curve 三維參數(shù)化曲線插值方法研究
A kind of definition of curvatures on discrete parametric curves net 關(guān)于離散參數(shù)曲線網(wǎng)上曲率的一種刻畫
Implicitization of parametric curves 參數(shù)曲線的隱式化
The degree reduction of parametric curves / surfaces is a key problem for computer aided geometric designed ( cagd ) 參數(shù)曲線曲面降階是計(jì)算機(jī)輔助幾何設(shè)計(jì)與制造中的研究熱點(diǎn)之一。
The experimental result shows that the parametric curve of uniform interpolation in less than 6 rank is better in performance 實(shí)驗(yàn)表明,采用低階(一般小于6階)參數(shù)插值方程實(shí)現(xiàn)連接,效果好。
By analyzing the existing algorithms , we present a new pixel - level algorithm for generating parametric curves by dividing the segments 對此,我們在現(xiàn)有參數(shù)曲線逐點(diǎn)生成算法的基礎(chǔ)上,提出了一個(gè)新的分段繪制參數(shù)曲線的方法。
For the pixel - level generation of parametric curves , we find that the point densities chosen by the existing algorithms are not even along the curves 對于其中的參數(shù)曲線的逐點(diǎn)生成,目前的算法在繪制曲線的過程中會出現(xiàn)所繪制點(diǎn)疏密不均的現(xiàn)象。
Next , in the interior of the patches , surface fitting points and cross boundary derivatives are estimated from the reference curves by constructing virtual iso - parametric curves 其次,在曲面片內(nèi)部,曲面擬合點(diǎn)和邊界方向?qū)?shù)可以從參考曲線中通過構(gòu)建虛擬等參線的方法得到。
Therefore . the thesis discusses the problem of smooth deformation parametric . solving method is to realize smooth merging of parametric curve by smoothing parametric curve 這樣,本文又討論了參數(shù)曲線的光滑變形問題,解決的方法就是通過參數(shù)曲線的磨光法實(shí)現(xiàn)參數(shù)曲線的光滑度。
As far as parametric curves and surfaces are concerned , we discuss the point - by - point generating algorithms for parametric polynomial curves , parametric rational curves and parametric polynomial surfaces 對于參數(shù)曲線曲面,介紹了參數(shù)多項(xiàng)式曲線,有理參數(shù)曲線和參數(shù)多項(xiàng)式曲面的逐點(diǎn)生成算法,這些算法能廣泛地應(yīng)用于實(shí)際。