引言 本文主要是针对《Least-Squares Fitting of Two 3-D Point Sets》论文SVD求解旋转矩阵中推导过程中使用到的一些线性代数相关的内容做一些说明,具体算法实现不是很复杂,也有很多其他博客可以参考,比如参…
对H3×3 进行SVD分解: (7)H=∑i=1Nqiqi′T=UΛVT注意, U, V 均是正交矩阵, Λ 为对角阵且对角线上的元素大于0。令 X=VUT 为正交矩阵。(因为 XTX=(VUT)T(VUT)=(UVTVU)=E) 我们有: (8)XH=VUTUΛT=VΛVT XH 为对称正定矩阵,所以由引理知,对于任意的正交矩阵 B3×3 , trace(XH)≥trace...
Two point sets { pi } and { p' }; i = 1, 2, 9 , N are related by p' = Rpi + T + Ni, where R is a rotation matrix, T a translation vector, and Ni a noise vector. Given { pi } and { p' }, we present an algorithm for finding the least-squares solution of R
Least-Squares+Fitting+of+Two+3-D+Point+S...
PointSetsFitting In this repository are implementations of the algorithm "Least-Squares Fitting of two 3d Point Sets" in Python and C++. This method can be used to compute the rigid transformation between two sets of corresponding 3D vectors. Point sets and the rigid transformation In regards to...
Least-Squares Fitting of Two 3-D Point Sets 来自 mendeley.com 喜欢 0 阅读量: 2363 作者: ARUN,K. S. 摘要: Two point sets {pi} and {p'i}; i = 1, 2,..., N are related by p'i = Rpi + T + Ni, where R is a rotation matrix, T a translation vector, and Ni a noise...
Least-Squares Fitting of Two 3-D Point Sets 热度: nullCURVE FITTING AND THE METHOD OF LEAST SQUARES 热度: An adaptive moving total least squares method for curve fitting 热度: 相关推荐 Least-SquaresFittingofCirclesandEllipses ∗ WalterGanderGeneH.GolubRolfStrebel Dedicatedto ˚ AkeBj¨orc...
Least-Squares Fitting of Two 3-D Point Sets 热度: 相关推荐 OrdinaryLeast-Squares Outline Linearregression Geometryofleast-squares DiscussionoftheGauss-Markovtheorem One-dimensionalregression One-dimensionalregression Findalinethatrepresentthe ”best”linearrelationship: One-dimensionalregression Problem:thedata...
Arun KS, Huang TS, Blostein SD (1987) Least-squares fitting of two 3-D point sets. IEEE Trans Pattern Anal 9(5):698–700 CrossRef Awange JL, Grafarend EW, Palancz B, Zaletnyik P (2010) Algebraic geodesy and geoinformatics, 2nd edn. Springer, Berlin CrossRef Bleich P, Illner ...
Point-Charge Models for Molecules Derived from Least-Squares Fitting of the Electric Potential. Adv. Atomic Mol. Phys 1988;23:87-130.Williams, D. E., Yan, J. M., Point-charge models for molecules derived from least-squares fitting of the electronic potential, Adv. Atomic and Molecular ...