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Associated probability density function - PowerPoint PPT Presentation

$Math 507, Lecture 6, Fall 2003$

Math 507, Lecture 6, Fall 2003

Math 507, Lecture 6, Fall 2003. Discrete Random Variables and Expected Value. Random Variables. Definitions A random variable X is a function whose domain is the sample space of some experiment and whose range is a subset of the real numbers.

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505 views • 38 slides

Last Time

Last Time. Raytracing and PBRT Structure Radiometric quantities. Today. Radiometric Integrals Monte Carlo integration Section 5.3 and Chapter 14 of PBR. Irradiance from Radiance (PBR Sect. 5.3). Integrate radiance over directions in the upper hemisphere:

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Monte Carlo Rendering

Monte Carlo Rendering. Central theme is sampling : Determine what happens at a set of discrete points, and extrapolate from there Central algorithm is ray tracing Rays from the eye or the light Theoretical basis is probability theory The study of random events. Random Variables.

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3.5 Exponential and Logarithmic Models

3.5 Exponential and Logarithmic Models. Gaussian Model Logistic Growth model Exponential Growth and Decay. Gaussian Model or the Bell curve.

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313 views • 13 slides

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Associated probability density function - PowerPoint PPT Presentation

Math 507, Lecture 6, Fall 2003

Last Time

Monte Carlo Rendering

3.5 Exponential and Logarithmic Models