PPT-Linear Algebra Application: Computer Graphics

By Gabrien Clark Math 2700002 May 5 th 2010 Introduction In the simplest sense computer graphics are images viewable on a computer screen The images are generated using computers and likewise are manipulated by computers Underlying the representation of the images on the computer screen is the mathematics of Linear Algebra . Calculus Functions of single variable Limit con tinuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Cu rl Vector identities D Calculus Functions of single variable Limit con tinuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Curl Vector identities Di Calculus Mean value theorems Theorems of integral calculus Evaluation of definite and improper integrals Partial Derivatives Maxima and minima Multiple integrals Fourier series Vector identities Directional derivatives Line Surface and Volume integ Calculus Functions of single variable Limit continuity and differentiability Mean value theorems Evaluation of definite and improper integrals Partial derivatives Total derivative Maxima and minima Gradient Divergence and Cu rl Vector identities Di Chapter 5:. Viewing. Interactive Computer Graphics. Chapter 5 - . 2. Overview. Specifying the viewpoint. Specifying the projection. Types of projections. Viewing APIs. Walking through a scene. Projections and shadows. Chapter 4:. Geometric Objects . and. Transformations. Sensational Solar System Simulator. Interactive Computer Graphics. Chapter 4 - . 2. Interactive Computer Graphics. Chapter 4 - . 3. Perspective. How is it that mathematics can model the (ideal) world so well?. A . WebGL. Game. With . Three.js. Interactive Computer Graphics. Chapter . 10 . - . 2. WebGL. Game: . Road Race!. Environment. Car model, smoke. Animation. Sounds. Collision detection. Keyboard input. Type your name and tutor group here. DSLR Camera. Description: Write a brief description of what this device does. Cost: How much does a typical device cost?. Is it useful for a user of computer graphics? Yes/No. Thomas Sangild Sørensen. Course overview. Department of Computer Science. Introduction . to computer graphics and image processing (Q1). Data-parallel computing (Q1). Advanced image processing (Q2). Chapter 8. :. The. Rendering. Pipeline. Interactive Computer Graphics. Chapter 8 - . 2. Overview. Vertex processing. : normalization, . transformations, lighting, projection. Clipping and primitive assembly clipping. Alexander G. Ororbia II. The Pennsylvania State University. IST 597: Foundations of Deep Learning. About this chapter. Not a comprehensive survey of all of linear algebra. Focused on the subset most relevant to deep learning. Chapter 5:. Viewing. Interactive Computer Graphics. Chapter 5 - . 2. Overview. Specifying the viewpoint. Specifying the projection. Types of projections. Viewing APIs. Walking through a scene. Projections and shadows. and . Vector Calculus . and . Calculus of several Variables. Details of the Course M - 107. Math - 107 . Vectors and Matrices (3+0) credit-hours.. 1438– 1439 . H. 2. Dr.Khawaja. Zafar . Elahi. Xin Qian. BNL. 1. Introduction. Linear Algebra (LA) has a very long history:. First appears in “The Nine Chapters on the Mathematical Art” . Systematically i. ntroduced by Rene Descartes. Application of LA is very broad:.