An Aspect Ratio Controlled New Mesh Enhancement Method Based On Statistical Mathematics

Sorguç, Arzu
Hagiwara, Ichiro
In this study, a non-conventional statistical mathematics based on method to mesh enhancement is introduced. The method explained here, is flexible in application i.e. it can be applied to planar and spatial meshes, as well as by choosing any quality parameter to evaluate the mesh architecture and enhance accordingly. In this statistical mathematics based approach, mesh generation is considered as a statistical problem rather than its geometric features and Monte Carlo technique is adopted for this random process. Geometry of mesh architecture involved only in so called 'template' to insert the new points. In the present paper, method is explained in a planar triangular mesh architecture and aspect ratio is chosen as the parameter to evaluate the mesh quality.


Vardar Acar, Ceren (null; 2018-04-30)
In this study, we mainly propose an algorithm to generate correlated random walk converging to fractional Brownian motion, with Hurst parameter, H∈ [1/2,1]. The increments of this random walk are simulated from Bernoulli distribution with proportion p, whose density is constructed using the link between correlation of multivariate Gaussian random variables and correlation of their dichotomized binary variables. We prove that the normalized sum of trajectories of this proposed random walk yields a Gaussian p...
An analysis of teacher background indices and their relation to the eighth grade Turkish students’ mathematics achievement in TIMSS 2007
Mihyap, Kübra; Berberoğlu, Halil Giray; Department of Secondary Science and Mathematics Education (2011)
The purpose of this study is to investigate teacher background indices and their relation to mathematics achievement. For this purpose, the data collected from 146 Turkish mathematics teachers and 4498 8th grade Turkish students with the instruments - mathematics teacher background questionnaire and mathematics achievement test in the Trends in International Mathematics and Science Study (TIMSS 2007) were analyzed by using the Pearson’s Product Moment Correlation. The teacher background indices, constructed...
An Investigation of 7th grade students’ statistical literacy about the concepts of average and variation on bar and line graphs
Çatman Aksoy, Emine; Işıksal Bostan, Mine; Department of Elementary Science and Mathematics Education (2018)
The aim of the present study was to analyze statistical literacy of seventh grade students on the concepts of “average” and “variation” on bar and line graphs related to the data obtained from social or scientific contexts. More specifically, seventh grade students’ statistical literacy levels in terms of the concepts of “average” and “variation” on bar and line graphs related to the data obtained from social or scientific contexts were determined and how students at different statistical literacy levels de...
A matheuristic for binary classification of data sets using hyperboxes
Akbulut, Derya; İyigün, Cem; Özdemirel, Nur Evin (null; 2018-07-08)
In this study, an optimization approach is proposed for the binary classification problem. A Mixed Integer Programming (MIP) model formulation is used to construct hyperboxes as classifiers, minimizing the number of misclassified and unclassified samples as well as overlapping of hyperboxes. The hyperboxes are determined by some lower and upper bounds on the feature values, and overlapping of these hyperboxes is allowed to keep a balance between misclassification and overfitting. A matheuristic, namely Iter...
An algorithm to analyze stability of gene-expression patterns
Gebert, J; Latsch, M; Pickl, SW; Weber, Gerhard Wilhelm; Wunschiers, R (Elsevier BV, 2006-05-01)
Many problems in the field of computational biology consist of the analysis of so-called gene-expression data. The successful application of approximation and optimization techniques, dynamical systems, algorithms and the utilization of the underlying combinatorial structures lead to a better understanding in that field. For the concrete example of gene-expression data we extend an algorithm, which exploits discrete information. This is lying in extremal points of polyhedra, which grow step by step, up to a...
Citation Formats
A. Sorguç and I. Hagiwara, “An Aspect Ratio Controlled New Mesh Enhancement Method Based On Statistical Mathematics,” 2002, Accessed: 00, 2020. [Online]. Available: