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	RELATIVE ORIENTATION DEPENDENT ON DUAL QUATERNIONS 期刊论文 OAI收割 PHOTOGRAMMETRIC RECORD, 2015, 卷号: 30, 期号: 151, 页码: 300-317 作者: Sheng, Qing H.; Shao, Sa; Xiao, Hui; Zhu, Feng; Wang, Qing \| 收藏 \| 浏览/下载：23/0 \| 提交时间：2015/12/02 Digital Photogrammetry Dual Quaternions Euler-angle Method Relative Orientation
	Quaternion based assessment method for color image fusion algorithms (EI CONFERENCE) 会议论文 OAI收割 2010 3rd International Congress on Image and Signal Processing, CISP 2010, October 16, 2010 - October 18, 2010, Yantai, China 作者: Wang Y.; Wang Y.; Wang Y.; Wang Y.; Wang Y. 收藏 \| 浏览/下载：19/0 \| 提交时间：2013/03/25 A new approach to assess the performance of color image fusion algorithms is proposed. The color information is fully used by this method. Quaternions are used to encode the pixels in a color image into a quaternion matrix. Local variance of the luminance layer of the color image is taken as the real part of a quaternion then the three RGB channels of the color image are encoded into the three imaginary parts of a quaternion. The angle between the singular value feature vectors of the quaternion matrices corresponding to one of the source image and the fused image is used to measure their structural similarity. Edge information transferring is used to balance the sensitivity of the assessment methods. Experimental results show that the proposed assessment method is better consistent with the HVS than some of the state-of-the-art method. Accurate assessment results can be given by the proposed method for various of color image fusion algorithms by using the source images and the fused image. 2010 IEEE.
	Color image quality assessment based on quaternion representation for the local variance distribution of RGB Channels (EI CONFERENCE) 会议论文 OAI收割 2009 2nd International Congress on Image and Signal Processing, CISP'09, October 17, 2009 - October 19, 2009, Tianjin, China Yuqing W.; Ming Z. 收藏 \| 浏览/下载：26/0 \| 提交时间：2013/03/25 In this paper Quaternions are used to describe the structural information of a color image in order to assess its quality. The representation method is different from conventional models in that some information that is sensitive to human eyes is reinforced by using local variance. It encodes the local variance distribution of the RGB channels of a color image into the three imaginary parts of a quaternion. The luminance layer of the color image is taken as the real part of the quaternion. The distance between the singular value feature vectors of the source image block and the distorted image block which are described by quaternion matrices is calculated. The final assessment result is calculated by using the mid point of the distances. The experimental results show that the assessment results of the proposed assessment method are more consistent with the Human Visual System than those of the conventional assessment methods. 2009 IEEE.
	Assessment of color image fusion algorithms based on quaternion singular value decomposition (EI CONFERENCE) 会议论文 OAI收割 MIPPR 2009 - Remote Sensing and GIS Data Processing and Other Applications: 6th International Symposium on Multispectral Image Processing and Pattern Recognition, October 30, 2009 - November 1, 2009, Yichang, China 作者: Wang Y.; Wang Y.; Wang Y.; Wang Y.; Wang Y. 收藏 \| 浏览/下载：23/0 \| 提交时间：2013/03/25 In this paper a new approach to objectively assess the performance of image fusion algorithms is proposed. It is based on the quaternion representation for the structural information of color images. Quaternions are used to encode the pixels of a color image into a quaternion matrix. Local variance of the luminance layer of color image is taken as the real part of a quaternion then the three RGB channels of the color image are encoded into the three imaginary parts of the quaternion. The angle between the singular value feature vectors of the quaternion matrices corresponding to the source image and the fused image is used to measure the structural similarity of them. Different weight is given to the source images by using variance. The experiment results show that the proposed assessment method is consistent with the HVS. The color information of a color image can be fully used by this method. It can give an accurate assessment result for each fusion algorithm by using the source images and the fused image. 2009 Copyright SPIE - The International Society for Optical Engineering.
	Geometry of skew-Hermitian matrices 期刊论文 OAI收割 LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 卷号: 396, 页码: 127-157 作者: Huang, LP; Wan, ZX \| 收藏 \| 浏览/下载：15/0 \| 提交时间：2018/07/30 geometry of matrices skew-Hermitian matrix adjacency division ring with an involution division ring of generalized quaternions
	Real homogeneous algebras as truncated division algebras and their automorphism groups 期刊论文 OAI收割 ALGEBRA COLLOQUIUM, 2004, 卷号: 11, 期号: 1, 页码: 11-20 作者: Dokovic, DZ; Zhao, KM \| 收藏 \| 浏览/下载：13/0 \| 提交时间：2018/07/30 real division algebras quaternions octonions homogeneous algebras
	DENSITY OPERATOR-FORMALISM FOR THE DESCRIPTION OF COHERENCE EVOLUTION OF A HOMONUCLEAR 2-SPIN SYSTEM IN ROTATING SOLIDS 期刊论文 OAI收割 SOLID STATE NUCLEAR MAGNETIC RESONANCE, 1994, 卷号: 3, 期号: 5, 页码: 287-292 作者: ZHOU, JY; YE, CH \| 收藏 \| 浏览/下载：11/0 \| 提交时间：2018/11/05 Homonuclear 2-spin System Coherence Transfer Euler Angles Quaternions Rotation Matrix