计算机工程与设计
計算機工程與設計
계산궤공정여설계
Computer Engineering and Design
2015年
10期
2781-2786
,共6页
非均匀有理B样条%CATIA开发环境%控制点反求%追赶法%曲面重构
非均勻有理B樣條%CATIA開髮環境%控製點反求%追趕法%麯麵重構
비균균유리B양조%CATIA개발배경%공제점반구%추간법%곡면중구
NURBS%CATIA development environment%reverse computation of control points%chasing method%surface recon-struction
基于对NURBS建模方法和CATIA曲线面参数及对象定义的分析，采用对象法读取CATIA曲线面信息，使用解析法获得解析解，两者相互得到验证；在边界切矢连续条件下构建控制点反求矩阵，应用追赶法进行数值求解，采用双参数反求算法实现m × n维型值点阵的N U RBS曲面重构。该算法模型结构简单、计算和显示速度快、易封装，可在复杂曲线面建模分析中作为核心应用。
基于對NURBS建模方法和CATIA麯線麵參數及對象定義的分析，採用對象法讀取CATIA麯線麵信息，使用解析法穫得解析解，兩者相互得到驗證；在邊界切矢連續條件下構建控製點反求矩陣，應用追趕法進行數值求解，採用雙參數反求算法實現m × n維型值點陣的N U RBS麯麵重構。該算法模型結構簡單、計算和顯示速度快、易封裝，可在複雜麯線麵建模分析中作為覈心應用。
기우대NURBS건모방법화CATIA곡선면삼수급대상정의적분석，채용대상법독취CATIA곡선면신식，사용해석법획득해석해，량자상호득도험증；재변계절시련속조건하구건공제점반구구진，응용추간법진행수치구해，채용쌍삼수반구산법실현m × n유형치점진적N U RBS곡면중구。해산법모형결구간단、계산화현시속도쾌、역봉장，가재복잡곡선면건모분석중작위핵심응용。
Based on the analysis of NURBS modeling method and parameter and object definition of curve and surface in CATIA , information of CATIA curve and surface was accessed using object method ,which was then validated using another analytic method .Under the boundary condition of tangent vector continuity ,reverse computation matrix of control points was construc‐ted and solved by chasing method ,so that NURBS surface based on m × n point array was reconfigured using dual parameter re‐verse algorithm .With the features of simple structure ,high computing and display speed as well as easy package ,the algorithm model can be the key model for other complex surface modeling analysis .
