rational integer 中文意思是什麼
rational integer
解釋
有理整數-
Another algorithm is based on pixels : sample many points along the curve, round them to the nearest integer and set each pixel the computed point falls in. although this algorithm uses integer arithmetic, it provides the smooth curve possible at the expense of computation time as many points have to be computed to ensure that no gaps are created along the curve. furthermore these two algorithms we mentioned above is appropriate for low degree parametric curves, for high degree parametric curves, we usually approach them by using low degree rational parametric curves, the generating curve ' s fairness property is not very good
我們知道當節點矢量的兩端節點均為k重節點且無內節點時， b樣條基函數退化為bemstein多項式，因此該生成演算法還可推廣到b能ier曲線中，具有廣泛的應用價值、同樣地，在cad和cagd中，有理b樣條曲線，特別是非均勻有理b樣條曲線（ nurbs ）已經成為曲線曲面設計中最廣為流行的技術，然而對這些曲線目前也尚無很好的曲線生成演算法，因此有理b樣條曲線的生成演算法無疑有著更重要的意義 -
This thesis analyze different cases where the sampling rate ratio is integer, rational, and irrational, in which the emphases is the irrational case
本文對于速率變換的整數倍、分數倍和無理數倍不同情況進行了詳細的分析，其中無理數倍的速率變換是本文研究的重點。 -
Paper [ 76 ] provides a integer algorithm for rasterizing free curves, we need change the curve form to implicit function form, then use curve ' s positive - negative property to draw, but we ca n ' t use this algorithm when curve ' s degree is higher than 3 and this algorithm ca n ' t avoid using multiplication ; paper [ 77 ] provides a new generating algorithm, this algorithm can draw bezier very well, but for b - spline curve, we need use convert them into bernstein base form. because this process spends a lot of time, this algorithm has not a good speed and effect for rendering rational b - spline curve
現在經常採用的演算法也是基於幾何的演算法（即線式生成演算法）和基於像素的演算法（點式生成演算法） ;文獻78 ]提供了一種有理參數曲線的快速逐點生成演算法，該演算法對有理b吮ier曲線的繪制，能起到很好的作用，但是對于有理b樣條曲線，必須先通過多項式的代數基與bemstein基間的變換矩陣，把原式用bemstein基表示，這一過程由於計算量大，降低了曲線生成的速度和效率 -
This paper mainly discusses rational blossoming in computer aided geometry design. specifically, we apply the fact that the binomial theorem is valid for negative integer and fractional exponents, introduce the rational bernstein bases and fractional bernstein bases, discuss the properties of rb curves and poisson curves, give the rational blossom and analytic blossom
本文主要討論了cagd中的有理blossoming方法，具體來說，利用指數為負整數、分數的二項式定理，引入了負n次bernstein基函數、分數次bernstein基函數，討論了rb曲線、 poisson曲線的性質，並且介紹了有理blossom與解析blossom
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