The purpose of this paper is to study the topological relations of four simple regions. We extend 4-intersection matrix model to 16-intersections matrix model to represent the spatial relations of four simple regions,...
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The purpose of this paper is to study the topological relations of four simple regions. We extend 4-intersection matrix model to 16-intersections matrix model to represent the spatial relations of four simple regions, and prove that these topological relations are exclusive and complete. Moreover, we obtained 32406 topological relations in practice by programs, and we illustrate that the 16-intersections matrix model has stronger expressive ability than the topological relations given by RCC-5 in pairs.
This paper presents an efficient technique for processing of 3D meshed surfaces via spherical wavelets. More specifically, an input 3D mesh is firstly transformed into a spherical vector signal by a fast low distortio...
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This paper presents an efficient technique for processing of 3D meshed surfaces via spherical wavelets. More specifically, an input 3D mesh is firstly transformed into a spherical vector signal by a fast low distortion spherical parameterization approach based on symmetry analysis of 3D meshes. This signal is then sampled on the sphere with the help of an adaptive sampling scheme. Finally, the sampled signal is transformed into the wavelet domain according to spherical wavelet transform where many 3D mesh processing operations can be implemented such as smoothing, enhancement, compression, and so on. Our main contribution lies in incorporating a fast low distortion spherical parameterization approach and an adaptive sampling scheme into the frame for pro- cessing 3D meshed surfaces by spherical wavelets, which can handle surfaces with complex shapes. A number of experimental ex- amples demonstrate that our algorithm is robust and efficient.
In this paper, based on the newly introduced mappings ξi (x, yi) ∈ Rn, i = 1, , m and ηi (x, zj) ∈ Rn, j = 1, , l, using the idea of homotopy methods, we propose a homotopy interior point method for solving the op...
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An imbalanced data classification algorithm named as SBoost is proposed. SBoost regards the decision tree as a weak classifier. Only the instances that their prediction value is more than the threshold are updated wit...
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An imbalanced data classification algorithm named as SBoost is proposed. SBoost regards the decision tree as a weak classifier. Only the instances that their prediction value is more than the threshold are updated with their weights in every iteration. At the beginning of each iteration, SBoost makes use of data generation method to add synthetic minority class instances in order to balance training information. After the sub-classifier is formed, the algorithm deletes the synthetic instances that are not correctly classified. This paper puts forwards the theoretical analysis of training error bound. The experimental results show that SBoost has advantages on imbalanced data classification problem.
Clustering semi-structured dataset is a hot research topic recent years. In this paper, we proposed an algorithm named LESC to cluster XML documents collection by the leaf elements. First, we discuss the basic princip...
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A performance evaluation model, weighted AUC (wAUC), is proposed to determine a better way to measure the imbalanced data learning classifiers. When computing the weighted area under the ROC curve, weights vary with t...
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Multi-objective decision-making problems have been widely applied to business, financial investment, transportation, optimal routing design, environment protection, and military strategies. In this paper, we give a no...
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作者：
LI YONG XU LUCollege of Mathematics
Key Laboratory of Symbolic computation and Knowledge Engineering of Ministry of Education Jilin University Changchun 130012
In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small per...
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In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation. Using this result, we can describe the stability of the non-autonomous dynamic systems.
To satisfy the requirements of real-time and high quality mosaics, a bionic compound eye visual system was designed by simulating the visual mechanism of a fly compound eye. Several CCD cameras were used in this syste...
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To satisfy the requirements of real-time and high quality mosaics, a bionic compound eye visual system was designed by simulating the visual mechanism of a fly compound eye. Several CCD cameras were used in this system to imitate the small eyes of a compound eye. Based on the optical analysis of this system, a direct panoramic image mosaic algorithm was proposed. Several sub-images were collected by the bionic compound eye visual system, and then the system obtained the overlapping proportions of these sub-images and cut the overlap sections of the neighboring images. Thus, a panoramic image with a large field of view was directly mosaicked, which expanded the field and guaranteed the high resolution. The experimental results show that the time consumed by the direct mosaic algorithm is only 2.2% of that by the traditional image mosaic algorithm while guaranteeing mosaic quality. Furthermore, the proposed method effectively solved the problem of misalignment of the mosaic image and eliminated mosaic cracks as a result of the illumination factor and other factors. This method has better real-time properties compared to other methods.
Compared with traditional algorithms of rough set feature selection, the stochastic algorithms for feature selection based on rough set and swarm intelligence are popular. This paper gives the overview of rough set al...
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