In order to overcome the shortcomings that the reconstructed spectral reflectance may be negative when using the classic principal component analysis （PCA）to reduce the dimensions of the multi-spectral data, a nonne...In order to overcome the shortcomings that the reconstructed spectral reflectance may be negative when using the classic principal component analysis （PCA）to reduce the dimensions of the multi-spectral data, a nonnegative constrained principal component analysis method is proposed to construct a low-dimensional multi-spectral space and accomplish the conversion between the new constructed space and the multispectral space. First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a lowdimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space. Experimental results show that the proposed method can keep the reconstructed spectral data in [ 0, 1 ]. The precision of the space created by the proposed method is equivalent to or even higher than that by the PCA.展开更多
This paper studies and analyzes the response of helical stairs as helicoidal shells in earthquake zones. The response of helical stairs under gravity loads was analyzed by both the membrane theory and finite element m...This paper studies and analyzes the response of helical stairs as helicoidal shells in earthquake zones. The response of helical stairs under gravity loads was analyzed by both the membrane theory and finite element methods. The non-linear response of helical stairs, when subjected to UBC （Uniform Building Code） dynamic and static equivalent earthquake loads, were obtained using finite element models. These responses were compiled and analyzed in order to draw recommendations for the preliminary design of helical stairs in earthquake zones. The analysis of the results obtained showed that helical stairs are stiffer and lighter than regular ones.展开更多
基金The Pre-Research Foundation of National Ministries andCommissions (No9140A16050109DZ01)the Scientific Research Program of the Education Department of Shanxi Province (No09JK701)
文摘In order to overcome the shortcomings that the reconstructed spectral reflectance may be negative when using the classic principal component analysis （PCA）to reduce the dimensions of the multi-spectral data, a nonnegative constrained principal component analysis method is proposed to construct a low-dimensional multi-spectral space and accomplish the conversion between the new constructed space and the multispectral space. First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a lowdimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space. Experimental results show that the proposed method can keep the reconstructed spectral data in [ 0, 1 ]. The precision of the space created by the proposed method is equivalent to or even higher than that by the PCA.
文摘This paper studies and analyzes the response of helical stairs as helicoidal shells in earthquake zones. The response of helical stairs under gravity loads was analyzed by both the membrane theory and finite element methods. The non-linear response of helical stairs, when subjected to UBC （Uniform Building Code） dynamic and static equivalent earthquake loads, were obtained using finite element models. These responses were compiled and analyzed in order to draw recommendations for the preliminary design of helical stairs in earthquake zones. The analysis of the results obtained showed that helical stairs are stiffer and lighter than regular ones.
