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3D reconstruction of single rising bubble in water using digital image processing and characteristic matrix

Particuology 2013年第2期11卷 170-183页

作者： Yuchen Bian Feng Dong Weida Zhang Hongyi Wang Chao Tan Zhiqiang Zhang Tianjin Key Laboratory of Process Measurement and Control School of Electrical Engineering and AutomationTianjin University School of Electrical Engineering and Automation Tianjin Polytechnic University

Reconstructing the shape of a bubble will lay a firm foundation for further description of the dynamic characteristics of bubbly flow, especially for a single rising bubble or separate bubbles whose interaction could be neglected. In this case, the rising bubble is usually simulated as an ellipsoid consisting of two semi-eUipsoids up and down. Thus the projected image of a bubble consists of two semi-ellipses. In this paper, a method for reconstructing the ellipsoid bubble model is described following digital image processing, using the Hough transform in 2D ellipse parameter extraction which could cover most of the bubble edge points in the image. Then a method based on characteristic symmetric matrix is described to detect 3D bubble ellipsoid model parameters from 2D ellipse parameters of projection planes. This method can be applied to bubbles rising with low-velocity in static flow field much in conformity with the projection theory and the shape variation of the rising bubble. This method does not need to solve nonlinear equation sets and provides an easy way to calculate the characteristic matrix of a space ellipsoid model for deformed bubble. For bubble application, two assumed conditions and a calibration factor are proposed to simplify calculation and detection. Errors of ellipsoid center and three axes are minor. Errors of the three rotation angles have no negative effect on further study on bubbly flow.

关键词： Bubble Digital image processing Parameter extraction Ellipsoid model Reconstruction characteristic matrix

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Finite p-groups with a minimal non-abelian subgroup of index p(Ⅲ)

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Science China Mathematics 2015年第4期58卷 763-780页

作者： QU HaiPeng XU MingYao AN LiJian School of Mathematics and Computation Science Shanxi Normal University

This paper finishes the classification of three-generator finite p-groups G such that Φ(G) Z(G).This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p, and partly sol... 详细信息

关键词： characteristic matrix At-groups congruent sub-congruent quasi-congruent

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Extraction of Content-Free Basal Image and Its Application in Face Recognition

Extraction of Content-Free Basal Image and Its Application i...

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第32届中国控制与决策会议

作者： Lan Zhangli Shen Dexing Tang Ranran Chongqing Jiaotong University School of information science and engineering Chongqing highway bureau

ISBN: (数字)9781728158556

ISBN: (纸本)9781728158563

As a typical signal,an image can be composed of a series of basic signals,which are called basal *** order to find the basic signals of a group of reconfigurable arbitrary images and optimize the face recognition algorithm,a feature-based basal image extraction method is proposed and applied to face recognition,so that the basal image can be extracted from any set of images and the performance of face recognition algorithm to local changes such as illumination and expression can be *** extraction algorithm is used to decompose a series of basal images from the training set image,the algorithm flow of basal image decomposition and extraction is expounded,the projection coefficient is obtained by projecting the face image into the space constituted by the basal image,the distance between the test sample and the training sample coefficient matrix is calculated,and the minimum distance classifier is used for *** experimental results show that the basal image obtained from any image set can be used for face recognition,and the basal image have content *** the same time,this method is better than the traditional feature face recognition method in light,expression,wearing accessories and other local changes.

关键词： Face recognition Feature extraction characteristic matrix Basal image Content-free

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characteristic MATRICES AND SIMILARITY OF TIME-VARYING LINEAR DIFFERENTIAL SYSTEMS

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Annals of Differential Equations 1997年第1期13卷 10-15页

作者：邓飞其刘永清冯昭枢华南理工大学 510641

In this paper, we discuss foe characteristic matrices and similarity of timevarying linear differential systems with emphasis on the relationship of similarityand characteristic matrices of the systems, obtaining the necessary and sufficientcondition for a matrix bein characteristic matrix, the necessary and sufficientcondition for time-varying linear systems being similar and the necessary andsufficient condition for a time-varying linear system being similar to a blockdiagonai system. We improve one of t,he main results of [4].

关键词： Time-varying system characteristic matrix Similarity Blockdiagonal system

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