section spline 中文意思是什麼
section spline
解釋
截面樣條線-
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。 -
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 cross section data were fitted and the covariance data were combined for each reaction channel by using the spline fitting program ( spc ) developed at cndc
利用中國核數據中心的spc程序對每一個反應道的各家數據的截面進行擬合、協方差進行合併。 -
According to three dimension braided composites for braided technology - four - step and technology - two - step procedure, and with reference to theories of braided fabric geometry and force models, a geometric model is built. in this model, the cross - section of thread is described as a circle and thread path as a cubic b - spline. braided - fabric structures in three dimensions are displayed by using solid - modeling techniques
本文三維編織物根據四步法和二步法編織工藝，從紗線的力學模型出發，建立了以圓形近似描述紗線的截面形態，以三次b樣條曲線近似描述紗線的屈曲形態的織物空間幾何模型，利用計算機三維實體造型技術，分別建立各自的編織物實體模型，用來模擬織物內部各紗線的空間位置，完成織物結構模擬。 -
In chapter 3, we discuss surface restoring method based on ct data which uses the intersection algorithm between spline curve and radial to resample the section curve, then works out surface controlling point array ; take opengl to display the surface with reality and the lighting, coloring effect
第三章討論了基於ct數據的曲面重構方法，利用樣條曲線與射線的求交演算法對截面曲線進行重新采樣，並反算曲面控制點陣；在其後的顯示過程中，利用opengl實現曲面的真實感顯示，包括顏色、光照的變化等。 -
There are commonness and individuality between subdivision surface and spline surface, based on the research of the algorithm of nc tool path generation for spline surface, used in conjunction with subdivision property, two methods : cross - section method and projecting method are put forward. ( 4 ) subdivision surface is quite adaptive to arbitrary topology, so the subdivision surface reconstruction techniques has also received much attention
細分曲面和樣條曲面既具有共性，又各有個性，本文通過對樣條曲面數控加工刀軌生成演算法進行研究，同時根據細分曲面本身具有的特性，給出了採用截平面法和投影法生成細分曲面數控加工刀軌的演算法。
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