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- 저자 : Ruixia Song (검색결과 3 건)
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Spectral Analysis of the Moving System with Multi-object Based on V-system
Ruixia Song,Chenghua Li,Xiaochun Wang,Yena Wang,Yanqing Xu,Dongxu Qi (사)한국CDE학회 2013 한국CAD/CAM학회 국제학술발표 논문집 Vol.2010 No.8
Based on an orthogonal function system over triangular domain, V-system, decomposing orthogonally a moving system with multiple moving objects into V-series, motion state of this moving system at different moment can be expressed in the frequency domain. To make full use of the advantage of the V-system, the capability to precisely express a 3D object group, each moving object is represented by a triangular mesh model, and then the energy curve data for the moving system is calculated by determining the coefficients of the V-series. The energy curve can be applied to the state analysis of the moving system. The relationship of energy curves of a moving system with different triangular mesh resolutions is analyzed. The experiment results show that there exist no strong dependence between energy curve and the resolution of 3D model, so when performing spectral analysis for a moving system, we can choose the model with low resolution, so that the computation can be reduced and the analysis efficiency can be improved. Finally, the mathematic relationship between energy of a moving system and some related variables is obtained by processing a large number of experimental data using the linear regression method. The characteristic of this study is reflected in the whole expression of a 3D model group, and the objects in the group are in motion.
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Multiwavelets over a Triangular Domain
Jian Li,Ruixia Song,Xiaochun Wang,Dongxu Qi (사)한국CDE학회 2010 한국CAD/CAM학회 국제학술발표 논문집 Vol.2010 No.8
Employing barycentric coordinates, this paper propose a kind of orthogonal muliwavelet over a triangular domain, called V-system. The V-system consists of not only smooth functions but also functions with discontinuities. Finitely terms of the V-system can exactly represent the geometric objects which can be expressed by a piecewise polynomials. Since barycentric coordinates are a fundamental tool for dealing with the case of triangles, and the expressions of the basic functions of the V-system in baycentric coordinates have short support, orthogonality, symmetry and vanishing moments, so the system is more concise and convenient to be used to realize orthogonal decomposition for the complex geometry models in CAGD. Especially, the geometry model composed of several separate parts can be exactly reconstructed, which can’t be realized by other continuous wavelets. The orthogonal decomposition provides theoretic fundament for feature extraction and further classification and shape retrieval. Experiment results show that this method is feasible and easy to use, and it worth being extended.
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