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基础矩阵估计的加权归一化线性算法   总被引:3,自引:0,他引:3       下载免费PDF全文
陈泽志  吴成柯  刘勇 《软件学报》2001,12(3):420-426
基础矩阵是对来自同一景物的两幅未定标图像进行分析的基本工具.对其进行估计的常用线性算法有八点算法和改进的八点算法,其最大的优点是运算简单、易于实现,但对噪声和错误数据较敏感,因此实用性差.通过引入与余差有关的代价函数,给出了一种新的鲁棒性线性算法——加权归一化算法.首先将原始输入数据加权归一化处理,然后再用八点算法求F阵的8个参数,实现了F阵的估计.大量的模拟数据和真实图像的实验结果表明,此算法不仅具有良好的鲁棒性,而且可提高基础矩阵的估计精度.  相似文献
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基于深度加权法向映射的三维模型检索   总被引:2,自引:2,他引:0  
提出一种基于深度加权法向映射的三维检索算法,从归一化处理后的物体形状出发,计算关于视点方向的深度加权表面法向统计分布,并将该分布沿视点方向作球面调和分析得到深度加权法向映射特征,通过比较该特征的距离来度量任意三维模型之间的相似性。  相似文献
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Limiting representations for weighted pseudoinverse matrices with positive definite weights are derived. It is shown that regularized problems can be constructed based on such limiting representations intended for evaluation of weighted pseudoinverse matrices and weighted normal pseudosolutions with positive definite weights. The results obtained, concerning regularization of problems on evaluation of weighted normal pseudosolutions, are employed for regularization of least-squares problems with constraints.  相似文献
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Weighted pseudoinverse matrices with positive definite weights are expanded into matrix power products with negative exponents and arbitrary positive parameters. These expansions are used to develop and analyze iterative methods for evaluating weighted pseudoinverse matrices and weighted normal pseudosolutions and solving constrained least-squares problems. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 45–64, January–February 2007.  相似文献
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The authors develop and analyze iterative methods with different (linear, quadratic, or of p (p2) order) rates of convergence. The methods are used to calculate weighted pseudoinverse matrices with positive defined weights. To find weighted normal pseudosolutions with positive defined weights, iterative methods with a quadratic rate of convergence are developed and analyzed. The iterative methods for calculation of weighted normal pseudosolutions are used to solve least-square problems with constraints.Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 20–44, September–October 2004.  相似文献
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用与目标的位置、大小、方向和其他变化无关的特征来识别目标是模式识别领域的一个热点。现存的基于不变特征的二维模式识别方法在目标被模糊了情况下都无法精确识别。本文提出了一种可解决上述问题的新的模式识别方法。该方法用组合不变量作为图像特征,以加权规格化互相关作为分类技术。在分类过程中,使用每一类的所有原型的第k个特征的类内标准方差的均值作为加权因子以提高识别率。对头像的数字试验证实了组合不变量特征对图像的平移、伸缩、旋转和模糊变换的不变性和该模式识别方法的可行性。  相似文献
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Weighted pseudoinverse matrices are expanded into matrix power series with negative exponents and arbitrary positive parameters. Based on this expansion, iterative methods for evaluating weighted pseudoinverse matrices and weighted normal pseudosolutions are designed and analyzed. The iterative methods for weighted normal pseudosolutions are extended to solving constrained least-squares problems. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 32–62, January–February 2006.  相似文献
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A weighted least squares problem {ie863-01} with positive definite weights M and N is considered, where A ∈ Rm×n is a rank-deficient matrix, b ∈ Rm. The hereditary, computational, and global errors of a weighted normal pseudosolution are estimated for perturbed initial data, including the case where the rank of the perturbed matrix varies. Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 83–95, November–December 2008.  相似文献
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The paper reviews studies on the representations and expansions of weighted pseudoinverse matrices with positive definite weights and on iterative methods and regularized problems for calculation of weighted pseudoinverse matrices and weighted normal pseudosolutions. The use of these methods to solve constrained least-squares problems is examined. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 47–73, January–February 2008.  相似文献
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The paper reviews studies on the representations and expansions of weighted pseudoinverse matrices with positive semidefinite weights and on the construction of iterative methods and regularized problems for the calculation of weighted pseudoinverses and weighted normal pseudosolutions based on these representations and expansions. The use of these methods to solve constrained least squares problems is examined. Continued from Cybernetics and Systems Analysis, 44, No. 1, 36–55 (2008). __________ Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 75–102, May–June 2008.  相似文献
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