Multi-dimensional transfer functions are widely used to provide appropriate data classification for direct volume rendering. Nevertheless, the design of a multi-dimensional transfer function is a complicated task. In this paper, we propose to use parallel coordinates, a powerful tool to visualize high-dimensional geometry and analyze multivariate data, for multi-dimensional transfer function de...

This work introduces a novel tool for interactive, real-time transformations of two dimensional IFS fractals. We assign barycentric coordinates (relative to an arbitrary affine basis of R) to the points that constitute the image of a fractal. The tool uses some of the nice properties of the barycentric coordinates, enabling any affine transformation of the basis, done by click-and-drag, to be i...

1. It is often desirable to be able to approximate to the number of points with integral coordinates in a closed bounded region R in n dimensional space by means of the volume V(K) of ft. The position is very simple if R depends on one parameter X, and is obtained froma fixed region r\x by uniform dilatation about the origin with linear ratio of dilatation X. Then it is immediate that the numbe...

To obtain effective indoor moving target localization, a reliable and stable localization method based on binocular stereo vision is proposed in this paper. A recognition extraction algorithm, which integrates displacement pyramid Horn–Schunck (HS) optical flow, Delaunay triangulation Otsu threshold segmentation, presented to separate from complex background, called the HS (O-DHS) method. Addit...

This paper applies a two-phase methodology to cluster 366 records of the wire bond machines for a Taiwanese IC packaging foundry, where six attributes of each machine are chosen to cluster. The purpose of clustering in this paper is to help the foundry more effectively assign a family of machines to orders that appear in various forms such as emergent or quality-demanding and are highly dynamic...

The number of the discrete samples for the dimensional measurement of machined surfaces and their coordinates is investigated. Counter to intuition, there need not be quadratically more samples than in the case for sampling lines or curves. To justify this novel scheme, accuracy is defined as the discrepancy of a finite point set. Then, from number theory, a particular sequence of numbers is us...

We first draw a Cartesian coordinate mesh on the two dimensional Euclidean plane so that each intersection point has integer coordinates. We call these intersection points lattice points. We want to label lattice points in an orderly fashion so that each label is determined by two of its neighboring labels. We proceed with the following rule. If the label given to a lattice point with coordinat...

Abstract We calculate the exact solutions to equations of motion that govern light ray trajectories as they travel in a Kerr black hole’s exterior is considered be filled with an inhomogeneous and anisotropic plasmic medium. This approached by characterizing plasma through conceiving radial angular structure function, which are let constant. The description carried out using Hamilton–Jacobi met...

When we observe a system, we often cannot observe all its variables and may have some of its limited measurements. Under such a circumstance, delay coordinates, vectors made of successive measurements, are useful to reconstruct the states of the whole system. Although the method of delay coordinates is theoretically supported for high-dimensional dynamical systems, practically there is a limita...

Equations are described to derive the true anterior chamber dimensions of an eye from a photograph of its optical section. If the surface of the eye is assumed to be spherical, the three-dimensional coordinates of rays emanating from the anterior chamber to a camera can be transformed to two-dimensional coordinates on a plane, which contains rays both inside and outside of the "eye." The actual...