Luminaire sampling plays an important role in global illumination calculation using Monte Carlo integration. A conventional approach generates samples on the surface of the luminaire, resulting in rendered images with high variance of noise. In this paper, we present an efficient solid angle sampling technique using tunable bounding volumes for global illumination calculation. In contrast to th...

This report describes an algorithm to find cars in images taken by a forward-looking camera, mounted on a pursuing vehicle. It was developed in order to initialize a car tracker described elsewhere [2]. The algorithm proceeds in two steps, in order to find a bounding box that most probably corresponds to a car to be tracked. In a candidate selection step, potential edges for each of the 4 sides...

A bounding volume hierarchy is a common method for making ray tracing based rendering more efficient. Constructing good hierarchies, however, is a difficult problem as the number of hierarchies grows exponentially with the number of scene objects. In this paper, we attempted to apply stochastic search to techniques to solve the problem of automatic generation of bounding volume hierarchy. We ha...

This paper describes a simple and straight forward implementation of Axis-Aligned Bounding-Box (AABB) for OpenGL 3-Dimensional (3D) virtual environment for games and simulation purpose. The implementation of AABB is conducted in OpenGL graphic library version 1.2 with C++ programming language by using Visual C++. The implementation could help young and begineer computer graphics student to mast...

In this paper, we first give a characterization of a class of probability transition matrices having closed-form solutions for transient distributions and the steady-state distribution. We propose to apply stochastic comparison approach to construct bounding chains belonging to this class. Therefore bounding chains can be analyzed efficiently through closed-form solutions in order to provide bo...

Equal-time comparison. Stochastic light culling has a trade-off between the performance and quality, which is controlled by the user-specified parameter δ. Therefore, our ellipsoid-based approach can render higher-quality images than the sphere-based approach when comparing at the same computation time. Fig. 2 shows the equal-time comparison between the bounding sphere and our bounding ellipsoi...

In this note, we study the problem of propagating in time a bounding set for the state of a class of nonlinear quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and qualitative behavior of the possible time responses of the system. Numerically efficient recursive algorithms are presented for the specif...

Abstract I propose novel partial identification bounds on infection prevalence from information test rate and yield. The approach utilizes user-specified (i) accuracy (ii) the extent to which tests are targeted, formalized as restriction effect of true status odds ratio getting tested thereby embeddable in logit specifications. motivating application is COVID-19 pandemic but strategy may also b...

The Kirchhoff-Plateau problem concerns the equilibrium shapes of a system in which a flexible filament in the form of a closed loop is spanned by a liquid film, with the filament being modeled as a Kirchhoff rod and the action of the spanning surface being solely due to surface tension. We establish the existence of an equilibrium shape that minimizes the total energy of the system under the ph...

We present an experimental investigation of viscoelastic fluid flow in a cross-slot microgeometry under low Reynolds number flow conditions. By using several viscoelastic fluids, we investigate the effects of the microchannel bounding walls and the polymer solution concentration on the flow patterns. We demonstrate that for concentrated polymer solutions, the flow undergoes a bifurcation above ...