Singularity analysis of geometric constraint systems
摘要:
Singularity analysis is an important subject of the geometric constraint satisfaction problem. In this paper, three kinds of singularities are described and corresponding identification methods are presented for both under-constrained systems and over-constrained systems. Another special but common singularity for under-constrained geometric systems, pseudo-singularity, is analyzed. Pseudo-singularity is caused by a variety of constraint matching of under-constrained systems and can be removed by improving constraint distribution. To avoid pseudo-singularity and decide redundant constraints adaptively, a differentiation algorithm is proposed in the paper. Its correctness and efficiency have been validated through its practical applications in a 2D/3D geometric constraint solver CBA.
A new algorithm for generalized optimal discriminant vectors
作者:Xiaojun Wu、Yang Jingyu、Shitong Wang、Guo Yuefei、Qiying Cao
DOI:10.1007/bf02947310
日期:2002.5
A study has been conducted on the algorithm of solving generalized optimal set of discriminant vectors in this paper. This paper proposes an analytical algorithm of solving generalized optimal set of discriminant vectors theoretically for the first time. A lot of computation time can be saved because all the generalized optimal sets of discriminant vectors can be obtained simultaneously with the proposed algorithm, while it needs no iterative operations. The proposed algorithm can yield a much higher recognition rate. Furthermore, the proposed algorithm overcomes the shortcomings of conventional human face recognition algorithms which were effective for small sample size problems only. These statements are supported by the numerical simulation experiments on facial database of ORL.
Rheinboldt et al., Universidade de Sao Paulo, Faculdade de Filosofia, Ciencias e Letras, Boletim, Quimica, 1951, # 3, p. 8,26
作者:Rheinboldt et al.
DOI:——
日期:——
Behavior of Naphthoyloxyl and Methoxynaphthoyloxyl Radicals Generated from the Photocleavage of Dinaphthoyl Peroxides and 1-(Naphthoyloxy)-2-pyridones
was compared with that of unsubstituted naphthoyloxyl radicals. The introduction of a methoxy group in the naphthalene ring stabilizes the naphthoyloxyl radicals to prevent their decarboxylation completely and reduces remarkably their reactivities in the addition to olefins and hydrogen-atom abstraction. The structure of the naphthoyloxyl radicals was discussed on the basis of their absorption spectra
Singularity analysis of geometric constraint systems
作者:Xiaobo Peng、Liping Chen、Fanli Zhou、Ji Zhou
DOI:10.1007/bf02947309
日期:2002.5
Singularity analysis is an important subject of the geometric constraint satisfaction problem. In this paper, three kinds of singularities are described and corresponding identification methods are presented for both under-constrained systems and over-constrained systems. Another special but common singularity for under-constrained geometric systems, pseudo-singularity, is analyzed. Pseudo-singularity is caused by a variety of constraint matching of under-constrained systems and can be removed by improving constraint distribution. To avoid pseudo-singularity and decide redundant constraints adaptively, a differentiation algorithm is proposed in the paper. Its correctness and efficiency have been validated through its practical applications in a 2D/3D geometric constraint solver CBA.