spline approximation 中文意思是什麼
spline approximation
解釋
樣條逼近/樣條擬合- spline : n. 1. 【機械工程】花鍵；方栓；止轉楔；齒槽，齒條，鍵槽條。2. 【建築】塞縫片。3. 活動曲線規。vt. 1. 開鍵槽于。2. 用花鍵（或方栓）聯接。
- approximation : n. 1. 接近；近似。2. 【數學】近似值。3. 概算，略計。
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Except for method of spline interpolation, mra method are used to resolve numerical approximation problems, too
除了應用樣條函數插值方法外，解決數值逼近問題還可以採用小波分析中多尺度分析的方法。 -
Then a high - degree geometric continuity blending surface is obtained with transfinite interpolate method. ( e ) g3 blending surface with approximation can be constructed by lofting if geometric invariant errors are given, the surface can be converted to b - spline, nurbs form for the purpose of system aggregation
最後，為滿足曲面造型系統集成的需要，在保證曲率、曲率導數和撓率精度情況下，將上述研究結果應用於曲面放樣逼近方法，得到參數過渡曲面轉換成b樣條曲面或nurbs曲面的形式。 -
In proc. acm siggraph, 1994, pp. 303 - 309. 21 pottmann h, leopoldseder s, hofer m. approximation with active b - spline curve and surfaces
此處，我們引入了具有最小能量的控制曲線，由此降低了曲面次數並很好的控制了曲面的形狀。 -
This process is as follows : firstly, the data of different section contour and of section line have been obtained by reverse - engineering ; secondly, non - uniform b - spline approximation algorithm is used to fit the discrete data ; then the data have been optimized and reduced by adopting adaptive sampling of key points of the fitted curve based on vertical distance, sequently the adaptive sampling data is transformed into the format of the. ibl file of the famous 3 - d design software pro / e. therefore we reconstruct the surface and a model is generated ; lastly, the effectiveness of the adopted algorithm and modeling approach are demonstrated by the experiments
建模型的過程中，首先運用逆向工程測量方法，獲得曲面物體上不同截面輪廓線的測量數據點列，接著對測量數據點進行平滑處理，用最小二乘法求解基於數據點列的控制多邊形，以非均勻三次b樣條曲線擬合截面輪廓曲線；然後利用基於垂距的數據采樣演算法，對擬合曲線上的數據點進行重新采樣，達到優化數據點的分佈及減少描述曲線數據量的目的。 -
Firstly, in the reproducing kernel space, the spline function is discussed and its equivalent relations are gived ; we prove that the 2 - th differential operator interpolation spline function in the space can be expressed not only by the reproducing kernels but also by polygonal functions. so it is easy to prove its best approximation properties in theory and is convenient for numerical calculation in applications, too
首先，在再生核空間中討論樣條函數，給出其等價性條件；證明了空間中的一個二階微分運算元插值樣條既可由再生核函數表示又可由折線函數表示，這不僅在理論上便於獲得此種插值樣條函數的最佳逼近性質，而且在應用上也便於數值計算。 -
Global b - spline approximation of given data points
樣條曲線逼近 -
So as to deal with this problem, local b - spline surface designing method with complicated trimmed boundary constraints is advanced. for two neighboring surfaces, we first trim a belt along the common boundary and then bridge a b - spline surface between these two trimmed surfaces with a smooth blending. with respect to the comer area comprised of several adjoining surfaces, a rectangular region covering the comer area is obtained by trimming operations at first, and later a local b - spline for filling the rectangular region is completed through interpolation or approximation
在兩張相鄰的曲面之間，先在其公共邊界處裁剪出一個帶狀區域，然後再採用曲面搭接的方式實現曲面之間的光滑過渡；而在鄰接曲面的公共角點處，先在該角點附近區域裁剪出一個矩形拓撲域，然後運用插值或逼近的方法，設計出一張既滿足於該區域的邊界條件同時又插值或逼近內部采樣點的b樣條曲面。 -
The analysis is relatively simple due to the good approximation and the compact expression of the spline function
由於樣條函數有良好的逼近性及緊湊性，使得層合板在脈動流這種復雜荷載作用下的動力分析也相對簡單。 -
An experiment is carried out to test the feasibility of the spline approximation to calculate the kinematic parameters
試驗表明樣條插值的方法能夠求解出平臺一階、二階運動學參數。 -
23 bajaj c, xu g. spline approximation of real algebraic surfaces. journal of symbolic computation, 1997, 23 : 315 - 333
基於向量運算，我們給出了插值曲面的完全顯式解，保證了曲面的快速生成。 -
A cubic constrained rational interpolating spline and its approximation
一種三次約束有理插值樣條及其逼近性質 -
Approximation method based on qurbs ( quasi - uniform rational b - spline ) is adopted and a iterative algorithm is introduced to improve the precision in the paper
在曲面片的逼近中採用邊界替換演算法以保證曲面片具有公共的邊界曲線，所以達到gc ~ 0連續。
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