The objective of this report is to provide a survey of relevant topics and focus on the state-of-the art techniques on hardware based rendering. Lighting models based on Bidirectional Reflectance Distribution Functions were considered and algorithms and corresponding hardware implementations were reviewed.

Materials with similar chemical compositions often exhibit different optical properties due to their structural composition. PTFE is widely used in many applications for both its mechanical and optical properties. Low density sintered PTFE has optical properties that make it desirable for use as a white diffuser in applications such as remote sensing. The contrast between the commonly available...

In this paper it will be shown how uniication grammars can be used to build a reversible machine translation system. Uniication grammars are often used to deene the relation between strings and meaning representations in a declarative way. Such grammars are sometimes used in a bidirectional way, thus the same grammar is used for both parsing and generation. In this paper I will show how to use ...

Let (R, μ) be a nonatomic finite measure space and E = Lr(R, μ) a Lebesgue space over R. Then we consider tempered distributions f and g (depending on x ∈ Rn and v ∈ R), for which divx(af) = g in S′(Rn, E). Here a : R −→ Rn is a bounded function of v (a velocity field) satisfying a nondegeneracy condition. We study the regularity of the average f̄ = R R f(·, v)ψ(v) dμ(v) ∈ S′(Rn) (with ψ ∈ Lr (R...

The robust time-frequency distributions with complex-lag argument are proposed. They can provide an accurate estimation of fast varying instantaneous frequency in the presence of noise with heavy-tailed probability density function. The L-estimate form of this distribution is defined and it includes the L-estimate form of Wigner distribution as a special case. A modification for multicomponent ...

Therefore, here we will describe the implementation of the hair scattering model described in the paper A Practical and Controllable Hair and Fur Model for Production Path Tracing , by Matt Jen-Yuan Chiang, Benedikt Bitterli, Chuck Tappan, and Brent Burley. The paper itself is available here: benedikt-bitterli.me/ pchfm/. See the “Further Reading” section at the end of this document for more in...

In this short note, we extend the notion of texture symmetry to the skewed symmetry and propose a method for calculating the skewed symmetry of a non-rectangular or affine-distorted bidirectional texture. Results for a number of natural textures are shown.

Following the occurrence of unexpected events and natural disasters, a highly important relief operation is the transferring of relief commodities from the distribution centers (CDs) to shelters. In this paper, a three-level network consisting of depot of vehicles, distribution centers and shelters has been considered for routing and scheduling of relief vehicles through introducing a multi-obj...

Non-uniform distribution of customers in a region and variation of their maximum willingness to pay at distinct areas make regional pricing a practical method to maximize the profit of the distribution system. By subtracting the classic objective function, which minimizes operational costs from revenue function, profit maximization is aimed. A distribution network is designed by determining the...