Daylighting calculation by the Monte Carlo method

Direct Lighting Calculation by Monte Carlo Integration

The details of doing a Monte Carlo direct lighting calculation are presented. For direct lighting from multiple luminaires, a method of sending one shadow ray per viewing ray is presented, and it is argued that this is preferable for scenes with many luminaires. Some issues of the design of probability densities on unions of luminaire surfaces are discussed.

The Monte-Carlo Method

The Monte Carlo Method

The Monte Carlo method is often referred to as a ‘computer experiment’. One might think of this as a way of conveying the fact that the output of simulations is not an equation, as in conventional theory. Instead, numbers appear on the computer screen in somewhat the same way that numbers appear on a measuring device in the laboratory. Thus there is the implication that somehow simulations are ...

The Monte Carlo Method

The Monte Carlo method is often referred to as a ‘computer experiment’. One might think of this as a way of conveying the fact that the output of simulations is not an equation, as in conventional theory. Instead, numbers appear on the computer screen in somewhat the same way that numbers appear on a measuring device in the laboratory. Thus there is the implication that somehow simulations are ...

Self-referential method for calculation of the free energy of crystals by Monte Carlo simulation.

We propose a Monte Carlo simulation method for the evaluation of free energies in crystalline systems. In principle, the method involves evaluating the free-energy difference between systems of N molecules and 2N molecules. This difference, coupled with the assumption that the free energy is extensive and thus proportional to N, provides sufficient information to obtain the absolute free energy...