A5057516417- Mathematical Dynamics and Fractals
- Advanced Topology and Set Theory
- Graph theory and applications
- Remote-Sensing Image Classification
- Advanced Image and Video Retrieval Techniques
- Image Retrieval and Classification Techniques
- Advanced MRI Techniques and Applications
- Face and Expression Recognition
- Remote Sensing and Land Use
- Theoretical and Computational Physics
- Complex Network Analysis Techniques
- Advanced Neuroimaging Techniques and Applications
- Bioinformatics and Genomic Networks
- Nonlinear Dynamics and Pattern Formation
- Advanced Differential Equations and Dynamical Systems
- Advanced X-ray and CT Imaging
- Quantum chaos and dynamical systems
- Medical Imaging Techniques and Applications
- advanced mathematical theories
- Sparse and Compressive Sensing Techniques
- Gene Regulatory Network Analysis
- Smart Agriculture and AI
- Functional Equations Stability Results
- Computational Drug Discovery Methods
- Topological and Geometric Data Analysis
Southeast University
2021-2024
Ningbo University
2019-2020
Hohai University
2009-2012
In this paper, we investigate the average geodesic distance on Sierpinski hexagon in terms of finite patterns integrals. Applying result, also obtain asymptotic formula for distances networks.
The two-point resistance of fractal network has been studied extensively by mathematicians and physicists. In this paper, for a class self-similar networks named sailboat networks, we obtain recursive algorithm computing between any two nodes, using elimination principle, substitution principle local sum rules on effective resistance.
Background: Identifying protein-ligand binding sites is an important step to the characterizing of molecular function. Although many ligand-binding site prediction methods have been developed, there still a great demand for improving accuracy and reducing amount calculation. Objective: In this paper, we introduce structure alignment-based method, involved big well refined template database, homologous indexed alignment, combination conservation in ranking, Hadoop based alignment...
Let [Formula: see text] be the attractor of following iterated function system (IFS) where and is convex hull text]. The main results this paper are as follows: if only If text], then As a consequence, we prove that conditions equivalent: (1) For any there some such (2) (3)
Let [Formula: see text] be a class of Moran sets. We assume that the convex hull any is text]. two nonempty sets in Suppose continuous function defined on an open set Denote image by In this paper, we prove following result. and are if there exists some such then contains interior.
Let $K$ be the attractor of following IFS $$\{f_1(x)=\lambda x, f_2(x)=\lambda x +c-\lambda,f_3(x)=\lambda +1-\lambda\}, $$ where $f_1(I)\cap f_2(I)\neq \emptyset, (f_1(I)\cup f_2(I))\cap f_3(I)=\emptyset,$ and $I=[0,1]$ is convex hull $K$. The main results this paper are as follows: $$\sqrt{K}+\sqrt{K}=[0,2]$$ if only $$\sqrt{c}+1\geq 2\sqrt{1-\lambda},$$ $\sqrt{K}+\sqrt{K}=\{\sqrt{x}+\sqrt{y}:x,y\in K\}$. If $c\geq (1-\lambda)^2$, then $$\dfrac{K}{K}=\left\{\dfrac{x}{y}:x,y\in K, y\neq...
Soil erosion is one of the most typical natural disasters in China. However, due to limitation current technology, investigation soil through remote sensing images currently by human beings manually which depends on interpretation and interactive selection. The work burden so heavy that errors are usually inevitably unavoidable. This paper proposes technique content-based image retrieval tackle this problem. Due large amount computation co-training based multiple classifier systems, for...
Let $K_1$ and $K_2$ be two one-dimensional homogeneous self-similar sets. $f$ a continuous function defined on an open set $U\subset \mathbb{R}^{2}$. Denote the image of by $$ f_{U}(K_1,K_2)=\{f(x,y):(x,y)\in (K_1\times K_2)\cap U\}. In this paper we give sufficient condition which guarantees that $f_{U}(K_1,K_2)$ contains some interiors. Our result is different from Simon Taylor's \cite[Proposition 2.9]{ST} as do not need multiplication thickness strictly greater than $1$. As consequence,...
Compared with conventional magnetic resonance imaging methods, the quantitative susceptibility mapping (QSM) technique can quantitatively measure distribution of tissues, which has an important clinical application value in investigations brain micro-bleeds, Parkinson's, and liver iron deposition, etc. However, algorithm is ill-posed inverse problem due to near-zero dipole kernel, high-quality QSM reconstruction effective streaking artifact suppression remains a challenge. In recent years,...