'Implicit functions' diaporamas de présentation

Chapter 2: Graphics Programming

Chapter 2: Graphics Programming. Instructor: Shih- Shinh Huang. www.themegallery.com. Outlines. Introduction OpenGL API Primitives and Attributes OpenGL Viewing Sierpinski Gasket Example Implicit Functions Plotting. Introduction. Graphics System

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Global overview

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Procedural Models

Procedural Models. How to easily generate complex data? Data from parameterized procedure and/or digitized Data amplification Ray trace directly v. convert to polygonal models and use z-buffer. Basic Procedural Approaches. composition from primitive shapes extrusion

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PROGRAMME 7

PROGRAMME 7. DIFFERENTIATION. Programme 7: Differentiation. Standard derivatives Functions of a function Logarithmic differentiation Implicit functions Parametric equations. Programme 7: Differentiation. Standard derivatives Functions of a function Logarithmic differentiation

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Was Woit GNORW ?

Was Woit GNORW ?. From Quantum to Cosmos: Fundamental Physics in Space for the Next Decade International Workshop Airlie Center Warrenton, VA, USA July 6-10, 2008 Alvin J. Sanders George T. Gillies Ernst Schmutzer. Forthcoming Paper. . Implications upon Theory Discrimination

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CONTINUITY AND DIFFERENTIABILITY

CONTINUITY AND DIFFERENTIABILITY. Consider the function f(x)= 1, if x 0 =2, if x > 0 Graph of this function is Y This function is defined at every

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Clouds

Based on Sect 5.3.3 in Parent. Clouds. Cloud Types. Cirrus - wispy >20,000 ft Ice crystals Altocumulus - puffy 6500-20000ft Water droplets Stratus, stratocumulus <6500 ft, water droplets, layered. Rendering issues. Amorphous, volumetric structure Swirling, bubbling motion

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Explicit vs Implicit Functions

Explicit vs Implicit Functions. Explicit: Implicit: . 2.5 Implicit Differentiation. When do we need to use the Chain Rule? . 1. 2. Suppose y is a function of x 3. 4. .

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Implicit Functions

Implicit Functions. The equation y = mx + b is an explicit function y is considered the dependent variable x is the independent variable The equation f( x , y , m , b ) = 0 is an implicit function

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Implicit Functions

Implicit Functions. The equation y = mx + b is an explicit function y is considered the dependent variable x is the independent variable The equation f( x , y , m , b ) = 0 is an implicit function

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Implicit Functions

Implicit Functions. The equation y = mx + b is an explicit function y is considered the dependent variable x is the independent variable The equation f( x , y , m , b ) = 0 is an implicit function

104 views • 4 slides