lagrange interpolation polynomial 中文意思是什麼
lagrange interpolation polynomial
解釋
拉格郎日插值多項式- lagrange : 拉格蘭格
- interpolation : 補入
- polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
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Research on emile borel ' s work on improving lagrange interpolation polynomial
對波萊爾改進拉格朗日插值公式思想方法的研究 -
In theory of approximations, the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations, such as lagrange interpolation, hermite interpolation and bernstein polynomial approximation
在逼近論中，用多項式逼近有理式的經典的方法是各種插值與運算元逼近方法，如lagrange插值、 hermite插值和bernstein多項式逼近等。 -
A linear combination of lagrange interpolation polynomial
插值多項式的線性組合 -
In the terms of interpolation, the image reconstructed from nearest interpolation or linear interpolation has good edge but serious noise ; reconstruction from 4 * 4cubic interpolation or three b - spline or three - order lagrange interpolations has better local character. 2 x 2cubic interpolations which has both better edge and local character is the ideal interpolation, the following is the basic principle during reconstruction : ( 1 ) the more width of interpolation, the more number of summation and the more order of interpolation polynomial, the higher of density resolution ; ( 2 ) the more of interpolation polynomial and width of interpolation, the more of reconstruction time simultaneously, aimed at eliminating the effects of noise contained in projection data, in this paper, author analysis cause and effects of common artifacts. importantly, discusses convolution back - projection reconstruction algorithm with a shift axis of rotation has been derived for correcting images that acquired with a divergence axis of rotation using the fan beam geometry with an angle - equaled detector
在ct圖像重建時，選擇有限帶寬窗有較好的空間解析度，三角形窗有較好的密度解析度，選擇餘弦窗則使得空間解析度與密度解析度的折衷；從窗函數的頻譜角度來講，可以用於圖像重建的一個良好的卷積窗函數應該具備以下條件： （ ? ）小的3db帶寬b ，即最小的主瓣寬度； （ ? ）最小的旁瓣最大峰值a ； （ ? ）最大的旁瓣峰值衰減速度d ；就內插函數而言，臨近點內插與線性內插重建圖像噪聲大，但有較好的邊緣與細節； 4 4三次內插、三次b -樣條與四次拉格朗日多項式內插圖像平滑，局部特性較好。 -
Estimation of approximation order of lagrange interpolation polynomial after revised
插值多項式的收斂階的估計
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