August 2013
Beginner to intermediate
1264 pages
52h 45m
English
book
Hughes/Computer Graphics, 3/E
by Kurt Akeley, James D. Foley, David F. Sklar, Morgan McGuire, John F. Hughes, Andries van Dam, Steven K. Feiner
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Chapter 30. Probability and Monte Carlo Integration
30.1. Introduction
In preparation for studying rendering techniques, we now discuss Monte Carlo integration. We start with a rapid review of ideas from discrete probability theory, and then generalize to continua like the real line or the unit sphere. We apply these notions to describe how to generate random samples from various sets. We then introduce Monte Carlo integration, treating all the basic ideas through the integration of a function on an interval [a, b], where the ideas are easiest to understand. We then show how these ideas apply to integration on a hemisphere or sphere, and hence how they are used to find reflected radiance via the reflectance equation, for instance.
30.2. Numerical ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.