计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
19期
152-155
,共4页
计算机应用%渐进迭代%T-Bézier三角曲面%散乱点数据拟合%逼近
計算機應用%漸進迭代%T-Bézier三角麯麵%散亂點數據擬閤%逼近
계산궤응용%점진질대%T-Bézier삼각곡면%산란점수거의합%핍근
computer application%progressive iterative%triangular T-Bézier surface%fitting scatted data points%approximation
渐进迭代逼近在散乱点数据的拟合及逆向工程中有重要应用，研究了一类T-Bézier三角曲面的渐进迭代算法；提出了T-Bézier三角曲面渐进迭代算法，并分析了算法的收敛性；基于2-范数给出了渐进迭代算法的逼近误差。最后，举例说明了该算法的有效性及应用。
漸進迭代逼近在散亂點數據的擬閤及逆嚮工程中有重要應用，研究瞭一類T-Bézier三角麯麵的漸進迭代算法；提齣瞭T-Bézier三角麯麵漸進迭代算法，併分析瞭算法的收斂性；基于2-範數給齣瞭漸進迭代算法的逼近誤差。最後，舉例說明瞭該算法的有效性及應用。
점진질대핍근재산란점수거적의합급역향공정중유중요응용，연구료일류T-Bézier삼각곡면적점진질대산법；제출료T-Bézier삼각곡면점진질대산법，병분석료산법적수렴성；기우2-범수급출료점진질대산법적핍근오차。최후，거례설명료해산법적유효성급응용。
The progressive iterative algorithm has important application in fitting scatted data points and reverse engineering, this paper studies the progressive iterative algorithm for a kind of triangular T-Bézier surface. Firstly, the paper presents the progressive iterative algorithm for triangular T-Bézier surface, and then the convergence is analyzed. Secondly, the approximation error in L2-norm is calculated. Finally, some numerical examples are given to illustrate the effectiveness and its application of this algorithm.
