basic spline 中文意思是什麼
basic spline
解釋
基本樣條-
After introducing some backgrounds and the state of art of motion editing and motion synthesis, we introduce some basic operations of motion editing and show implementation results in eidolon. chapter 3 describes inverse kinematics, and two real time algorithms : ccd and jacobian transpose are discussed in detail. in chapter 4, we introduce the principle of multiple level b - spline, and motion path editing is achieved with such spline
在介紹了運動編輯和合成的一些背景知識和研究現狀后，本文第二章概述了運動編輯的一些基本操作並給出了在eidolon中的實現結果；第三章介紹了逆向運動學演算法，著重講述了兩個具有實時性的演算法：循環坐標下降法和雅克比轉置法；第四章詳細介紹了多層次b樣條原理和用其進行運動路徑編輯的方法。 -
The thesis tells surface analysis method including curvature analysis and curve depth analysis that we using in the skin restoring project. in chapter 2, it tells the definition of b - spline curve and surface and the fundamental algorithm - de boor algorithm for points of curve and surface. as to reconstruct surface from ct data, we discuss some basic algorithm and introduce the wrapping skin algorithm
在第二章中，介紹了b樣條曲線曲面的定義及基本演算法- -求曲線曲面點的德布爾演算法；基於ct數據的曲面重構，討論了重構過程中所應用到的基本演算法（如節點插入及消去演算法、曲線的反算方法等） ，並介紹了曲面重構中常用的蒙皮法。 -
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。 -
The details are as follows. the correlative knowledge of basic spline and bernstein basis functions, the theory of basic spline and bezier curves & surface and their rational forms, all these are regarded as the academic background of further research
涉及b樣條基函數及其性質， b樣條曲線曲面和有理b樣條曲線曲面及其性質， bernstein基函數及其性質， b zier曲線曲面和有理b zier曲線曲面及其性質等等。 -
Basic terminology of spline
花鍵基本術語 -
In the first chapter, we narrate the characteristic of convertible bond, give some clues about development and actuality of the market and its pricing theory ; in the second chapter, we introduce modeling idea and some material problems in the model in detail, draw the yield curve which is very important to the model by spline method ; in the third chapter, we first explain the basic idea and convergent speed of monte carlo method, then, give the mathematical description for financial market, prove equivalence of non - arbitrage market, existence of risk neutral probability measure in the market and the price process of underlying asset is a martingale ; in the forth section, we introduce how to simulate stock price path by monte carlo method in detail, based on foregoing result, we prove the path is a martingale, thereby, the model is logical
本文第一章先對可轉債的特點、市場發展和現狀及其定價理論的發展和現狀作一概述;第二章詳細介紹了建模思想和模型中的一些具體問題，利用spline方法繪出了在模型中具有重要作用的收益曲線;第三章首先敘述了montecarlo方法的基本思想和有關其收斂速度的一些性質，然後從數學的角度給出了對金融市場的描述，證明了市場無套利、市場存在風險中性概率測度及標的資產價格過程為鞅的等價性;在第四節中，對用montecarlo方法模擬的帶跳股價路徑作了詳細介紹，並利用前兩節的結論證明了模擬的帶跳股價路徑為一個鞅過程，從而保證了模型在理論上的合理性。 -
The main research contented and achieved are as follows : first, the paper define the rational space, then require the construction of the rational b - spline basis function, on this basic, paper define a kind of rational b - spline curve with prescribe pole
本文取得的主要研究結果如下:首先，定義了一種指定極點的有理樣條空間，在該空間上給出了有理b樣條（基）函數的構造，由此定義了一種指定極點的有理b樣條曲線 -
We can conclude that the bsc representation of curves and surfaces is the generalized form of basic spline curves and surfaces. the theory of bsc curves and surfaces can be applied to solve the reparametrization problem of basic spline curves and surfaces
結果表明，附權bbc曲線曲面是b虹ier曲線曲面的椎廣形式，它在對b6zier曲線曲面進行重新參數化方面具有很高的應用價值。 -
Firstly, by means of the reparametrization of basic spline basis functions, the basic spline class is established and its properties are discussed. secondly, the bsc form of curves and surfaces are derived and the generating algorithms are investigated. thirdly, the relation between basic spline curves and surfaces and their bsc forms is obtained
這一部分提出了bernstein函數類和bbc函數的概念，討論了它們的性質，在此基礎上研究了bbc曲線曲面，從理論上給出了同一條b zier曲線或同一張b zier曲面的無數種不同的表達形式，同時討論了它們之間的區別與聯系；進一步論述了b zier曲線曲面和bbc曲線曲面以及有理b6zier曲線曲面和附權bbc曲線曲面的聯系，與bbc曲線曲面有關的演算法也有詳細的描述。 -
Non - uniform rational b - spline ( nurbs ) basic parameters of the electrode surfaces were extracted, and the electrode surface was adaptively scattered to a mesh in the compensation process of offset
在偏置補償過程中提取非均勻有理b樣條（ nurbs ）電極曲面的基本參數，對電極曲面進行網格離散。 -
As the basic concept, the first step is to modeling by ug. there is different model between propeller and commonly hardware, so we must be use curve modeling, at the same time, characteristic modeling and entity modeling in the whole process. first, we apply offset data for spline fit curve, then scanner smooth curve face
首先在三維繪圖軟體ug中對螺旋槳及葉片進行三維建模，由於螺旋槳的造型不同於一般零件的cad造型，故在造型過程中同時採用了曲面造型，特徵造型和實體造型幾種方法，先由型值數據生成樣條曲線，再由樣條曲線掃掠生成平滑的曲面，最後通過圓整?延伸得到螺旋槳的三維模型。 -
The first one focuses on the notations and properties of basic spline and bernstein basis functions. at the same time, the theory of basic spline and bezier curves and surfaces are reviewed as the premise of further research. the second one emphasizes in the theory of bsc curves and surfaces
主要是b樣條函數和bernstein基函數的概念和性質， b樣條曲線曲面和b zier曲線曲面的基礎知識，作為研究的理論前提；第二部分為bsc曲線曲面的理論。 -
On the study of interpolation algorithm and cagd theory, two interpolation algorithms are analyzed, basic spline and nurbs interpolation, and thrice basic spline interpolation algorithm is proposed to realize path planning. the simulation of industrial robot is also important in the research of robotics, which displays the robot model on the computer screen and facilitates the devise of robot
在機器人運動空間的插值演算法和計算機輔助幾何設計理論的基礎上，分析了兩種直接插值演算法： b樣條和nurbs曲線插值演算法，提出一種三次b樣條插值演算法來實現工業機器人運動路徑規劃，提高了插值的精度和計算速度。 -
Since nurbs curves possess stronger ability than uniform b - spline curves in shape representation, we give a method of generating non - uniform subdivision surface modeling by improving nurcc surface proposed by sederberg et al. this method can interpolate predefined nurbs curves based on nurcc surface while maintain nurcc surface ' s basic function of the controllability of the continuous order
由於nurbs曲線比均勻b樣條曲線具有更為強大的形狀表示能力，浙江大學博士學位論文因此作者通過改造sederberg等提出的非均勻有理catmull一clark曲面（簡稱nurcc ）生成方法，給出了非均勻細分曲面造型新方法 -
The on - line stroke recognition algorithm can recognize the rough strokes and transform them into three basic geometric line - elements, including straight line, arc and b - spline
筆劃的在線識別主要是將原始筆劃轉換為規則的基本幾何線元，即直線條，圓弧，和樣條曲線。
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