Learn More
Based on Lagrange polynomials and variation of constants, we devise a novel 2n-1-point interpolatory ternary subdivision scheme that reproduces polynomials of degree 2n-2. We illustrate the technique with a 3-point ternary interpolatory subdivision scheme which can rebuild Hassan and Dodgson’s interpolating 3-point ternary subdivision scheme and a new(More)
Using nucleotide variation in the first internal transcribed spacer of nuclear ribosomal DNA, five different genotypes (designated G1-G5) have been identified and the preponderance of genotype G1 in humans and of genotype G3 in pigs led to the proposal that parasites bearing the two genotypes have an affinity for a particular host species. A subsequent(More)
In this paper, we design a ternary even symmetric 2npoint approximating subdivision scheme which generates smooth curves of high order. We illustrate the technique with a new 4point ternary approximating subdivision scheme which is C and a new 6-point ternary approximating subdivision scheme which can achieve C-continuity. The smoothness of the new schemes(More)
We study the validity of Zipf’s Law in a data set of Chinese city sizes. Previous investigations are restricted to log-log rank-size regression for a fixed sample. In contrast, we use rolling sample regression methods in which the sample is changing with the truncation point. The intuition is that if the distribution is Pareto with a coefficient one (Zipf’s(More)
In this paper, we evaluate fractal dimension of the fractal curve generated by the 3-point ternary interpolatory subdivision scheme. A formula between the subdivision parameter and the fractal dimension of the limit fractal curve is obtained. As an application of the obtained results, the generation of fractal curves and surfaces is discussed. The presented(More)
In this paper, we present an efficient 3-DOF registration method to align two overlapping point clouds captured by a range sensor that experiences locally planar motion such as in many robotics applications. The algorithm follows the RANSAC framework and is based on finding a pair of congruent triangles in the source and target clouds. With the assumption(More)
Face recognition is an interesting issue in pattern recognition. In this paper, we propose a method for face recognition using 3D depth information. The goal is to get minimum features and produce a good recognition rates. We extract 3D clouds points from 3d vrml face Database, then the nose tip for each sample is detected and considered as new origin of(More)