5 citations · 8 across the 10 of their papers we have counts for
11 papers
Some Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k)
Xiaodong Zhuang, Nikos E. Mastorakis
The solution of the Diophantine equation ay^2=b(x^k-c^k) is studied in different cases of k. Methods are proposed for different cases of k, which are convenient for computer algori…
Optimization of Quadratic Sieve Algorithm Implementation for Large Integer Factorization
Zihan Guan, Xiaodong Zhuang, Nikos E. Mastorakis
The quadratic sieve method is a core tool in number theory. In this paper, we present two optimization methods for the Quadratic Sieve algorithm. In the sieving process, the origin…
Methods to Find Integer Points on the Elliptic Curve of Factorizable Polynomial Equation
Xiaodong Zhuang, Nikos E. Mastorakis
As a valuable theoretical and application problem, the integer points on two types of elliptic curve y^2=(x-a)(x-b)(x-c) and y^2 = (x-a)(x^2+ax+b) are studied. By using elementary…
Autonomous Dimension Reduction by Flattening Deformation of Data Manifold under an Intrinsic Deforming Field
Xiaodong Zhuang
A new dimension reduction (DR) method for data sets is proposed by autonomous deforming of data manifolds. The deformation is guided by the proposed deforming vector field, which i…
The Dynamics of Deforming Manifold: A Mathematical Model
Xiaodong Zhuang, Nikos E. Mastorakis
In order to meet the requirements of practical applications, a model of deforming manifold in the embedded space is proposed. The deforming vector and deforming field are presented…
The Virtual Electromagnetic Interaction between Digital Images for Image Matching with Shifting Transformation
Xiaodong Zhuang, N. E. Mastorakis
A novel way of matching two images with shifting transformation is studied. The approach is based on the presentation of the virtual edge current in images, and also the study of v…
A Model of Virtual Carrier Immigration in Digital Images for Region Segmentation
Xiaodong Zhuang, N. E. Mastorakis
A novel model for image segmentation is proposed, which is inspired by the carrier immigration mechanism in physical P-N junction. The carrier diffusing and drifting are simulated…
The Analysis of Local Motion and Deformation in Image Sequences Inspired by Physical Electromagnetic Interaction
Xiaodong Zhuang, N. E. Mastorakis
In order to analyze the moving and deforming of the objects in image sequence, a novel way is presented to analyze the local changes of object edges between two related images (suc…
Matching of Images with Rotation Transformation Based on the Virtual Electromagnetic Interaction
Xiaodong Zhuang, N. E. Mastorakis
A novel approach of image matching for rotating transformation is presented and studied. The approach is inspired by electromagnetic interaction force between physical currents. Th…
Image Segmentation Based on the Self-Balancing Mechanism in Virtual 3D Elastic Mesh
Xiaodong Zhuang, N. E. Mastorakis, Jieru Chi +1
In this paper, a novel model of 3D elastic mesh is presented for image segmentation. The model is inspired by stress and strain in physical elastic objects, while the repulsive for…
A New Statistic Feature of the Short-Time Amplitude Spectrum Values for Human's Unvoiced Pronunciation
Xiaodong Zhuang
In this paper, a new statistic feature of the discrete short-time amplitude spectrum is discovered by experiments for the signals of unvoiced pronunciation. For the random-varying…