In this paper, the intersection of bivariate orthogonal polynomials on triangle patches will be investigated. The result is interesting by its own but also has important applications in the theory of a posteriori error estimation for finite element discretizations with p-refinement, i.e., if the local polynomial degree of the test and trial functions is increased to improve the accuracy. A tria...

We present an experimental study in which we compare the state-of-the-art methods for compacting orthogonal graph layouts. Given the shape of a planar orthogonal drawing, the task is to place the vertices and the bends on grid points so that the total area or the total edge length is minimised. We compare four constructive heuristics based on rectangular dissection and on turn-regularity, also ...

The effect of perspective transformation on transfer of face training was investigated in a yes/no recognition task using face stimuli with 42 degrees, 10 degrees, or no perspective convergence. A strong dependence of recognition performance on the magnitude of perspective transformation was found, with large perspective changes such as from 42 degrees at learning to orthogonal at test producin...

In this paper, a feature extraction technique with orthogonal polynomials based computational model to accurately extract local texture in iris images is presented. Initially, the normalized input iris image is subjected with the orthogonal polynomials model and the model coefficients are obtained. The model coefficients are subjected to statistical hypothesis testing with Hartley’s test so as ...

In this paper we develop a discrete Hierarchical Basis (HB) to efficiently solve the Radial Basis Function (RBF) interpolation problem with variable polynomial order. The HB forms an orthogonal set and is adapted to the kernel seed function and the placement of the interpolation nodes. Moreover, this basis is orthogonal to a set of polynomials up to a given order defined on the interpolating no...

The forming process parameters of Selective Laser Sintering(SLS) directly affect the forming efficiency and forming quality. Therefore, to determine reasonable process parameters is particularly important. In this paper, the weight of each target of the forming quality and efficiency is firstly calculated with the Analytic Hierarchy Process. And then the size of each target is measured by ortho...

For the design of three-stage electromagnetic coilgun, many parameters and their relations must be considered at the same time. However, there is no complete mathematical model to describe the relationship between these parameters and energy conversion efficiency of the coil launcher system. In this paper, using orthogonal test approach we consider the influence of 11 parameters to improve the ...

This paper examines the statistical properties of uniform design for stated choice modeling. Estimation efficiency, prediction efficiency and test power (i.e., the ability to pick up significant effects or exclude insignificant effects) are selected as measures of statistical properties. Both uniform design and orthogonal design are used to generate profiles. The major experimental design strat...

Psychometric function plots the percentage of the correct responses among an entire pool of responses (cumulative probability) in a psychophysical task versus the amount of change in an independent variable. These changes in the independent variable are made with reference to a constant initial value. If this initial value is altered, the psychometric function will change according to Weber’s l...