Overview: Ray Tracing & The Perspective Projection Pipeline

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Overview: Ray Tracing & The Perspective Projection Pipeline"

Transcription

1 Overview: Ray Tracing & The Perspective Projection Pipeline Lecture #2 Thursday, August About this Lecture! This is an overview.! Think of it as a quick tour moving fast.! Some parts, e.g. math, go by quickly.! We will come back and spend more time.! Why a quick tour?! Context is key and comes first! 8/28/14 Ross Beveridge & Bruce A. Draper,

2 Two Approaches to Graphics! Common starting point:! Create a scene model in world coordinates.! Place a synthetic camera in the scene.! Typically made by combining local models.! Approach #1: Projective Pipeline! Move model into camera coordinates.! Project vertices onto the image plane.! Fill in other pixels (fragment processing). 8/28/14 Ross Beveridge & Bruce A. Draper, Approaches (II)! Approach #2: Ray Tracing! Rays project from pixels into the world model.! Rays intersect objects.! Pass back appearance (illumination) to pixels.! More commonalities! Calculate pixel values for images.! Still have to map image onto screen/printer/etc.! Sometimes called the Workstation Transform 8/28/14 Ross Beveridge & Bruce A. Draper,

3 The Projection Pipeline (in more detail, with cartoons) Step #0: The starting point We start with a set of 3D object models. Most models are polygonal. Every model has its own coordinate frame. Step #1: The model transform Puts every object into a single global coordinate system (frame). e.g. place the teapot on the TV set. 8/28/14 Ross Beveridge & Bruce A. Draper, The Projection Pipeline (II) Step #2: The Viewing Transform Converts data from the 3D world coordinate system to a camera-centered (and camera-oriented) 3D coordinate system Note: at this point projection pipeline and ray tracing may start diverging. 8/28/14 Ross Beveridge & Bruce A. Draper,

4 The Projection Pipeline (III) Field of View Step #3: Clipping The step eliminates all vertices (data points) falling outside the field of view of your synthetic camera 8/28/14 Ross Beveridge & Bruce A. Draper, The Projection Pipeline (IV) Step #4: Projection This step projects 3D data points onto a 2D image plane, according to the camera parameters (e.g. focal length) 8/28/14 Ross Beveridge & Bruce A. Draper,

5 The Perspective Pipeline (V) Step #5: Rasterization Play connect the dots (well, vertices) to form line segments and closed polygons (collectively, fragments) 8/28/14 Ross Beveridge & Bruce A. Draper, The Perspective Pipeline (VI) Step #6: Fragment Processing This is where surfaces are shaded and hidden surfaces are removed. 8/28/14 Ross Beveridge & Bruce A. Draper,

6 The Projection Pipeline (VII) Step #7: Workstation Transform Moves the data from the 2D image plane coordinate system to the 2D coordinate system of your display device Note: this is where the projective pipeline and ray tracing come back together. 8/28/14 Ross Beveridge & Bruce A. Draper, Ray Tracing (the alternative) Step #0: The starting point We start with a set of 3D object models. Most models are polygonal. Every model has its own coordinate frame. Step #1: The model transform Puts every object into a single global coordinate system (frame). e.g. place the teapot on the TV set 8/28/14 Ross Beveridge & Bruce A. Draper,

7 Ray Tracing (II) Step #2: 3D Camera model The image plane (representing film or a CCD/ CMOS chip) is a plane located in the 3D world model. This step calculates the 3D position of every pixel on that plane. 8/28/14 Ross Beveridge & Bruce A. Draper, Ray Tracing (III) Step #3: Ray Casting Send a ray through every pixel, intersect rays with objects in the world model. 8/28/14 Ross Beveridge & Bruce A. Draper,

8 Ray Tracing (IV) Step #4: Diffuse Reflection Calculate rays from surface intersection points to light sources; calculate diffuse reflection and shadows. Source: 8/28/14 Ross Beveridge & Bruce A. Draper, Ray Tracing (V) L S N S R V C θ θ Q Step #5: Specular & Translucent Reflections Calculate rays in the direction of specular and translucent reflections; recursively calculate appearance 8/28/14 Ross Beveridge & Bruce A. Draper,

9 Ray Tracing (VI) ( ( ) + ki l (( 2N ( N L) L) V ) n ) I = KI l N L l l Relax, we will come back to this properly later. Step #6: Sum reflections, store in pixel Add together diffuse, specular and translucent reflections, store resulting (R,G,B) value in pixel 8/28/14 Ross Beveridge & Bruce A. Draper, Ray Tracing (VII) Step #7: Workstation Transform Moves the data from the 2D image plane coordinate system to the 2D coordinate system of your display device Note: at this last step is where the projective pipeline and ray tracing approaches converge 8/28/14 Ross Beveridge & Bruce A. Draper,

10 Projection Pipeline vs Ray Tracing! Projection Pipeline:! Fast (currently real-time)! Current standard (e.g. video games)! SOA: OpenGL 3.0! Ray Tracing:! More realistic (e.g. inter-reflections)! Getting faster (e.g. Pov-Ray)! Future hardware will make it real-time 8/28/14 Ross Beveridge & Bruce A. Draper, Recent Tour-de-Force 8/28/14 Ross Beveridge & Bruce A. Draper,

11 Course Plan! Objective: Understand image creation! Assignment 1: Cast a ray! Global coordinates emphasis on basics.! Ray intersection calculations.! Assignment 2: Reference frames! Add proper and distinct coordinate systems! and relate them to each other. 8/28/14 Ross Beveridge & Bruce A. Draper, Course Plan (II)! Assignment #3: Better lighting and models! Extend modeling to support complexity! Add multi-bounce lighting! Add richer material properties! Assignment #4: Motion and Transparency! See through objects - refraction! Put things in motion short animations Disclaimer: This is a plan, not a contract, the exact nature of the programming assignments will change. 8/28/14 Ross Beveridge & Bruce A. Draper,

12 A Quick Peak at Modeling Vertices, Polygons and setting up to start geometry in earnest. The Ubiquitous Polygonal Mesh! A surface patch is often a polygon in 3D! 3 or more vertices! Each vertex is an (x, y, z) triple! Vertices are supplied in order! Boundary of polygon goes from vertex #1 to vertex #2 to vertex #N, and back to vertex #1! All vertices must be co-planar! Polygon must be convex 8/28/14 Ross Beveridge & Bruce A. Draper,

13 For Example! A simple (4-vertex) polygon in 3D (0,1,0) (1,1,0) (0,0,0) (1,0,0) 8/28/14 Ross Beveridge & Bruce A. Draper, 2014 Slide 25 Common Mistakes! Order of vertices:! Non co-planar vertices: z x y The polygons above have the same vertices in a different order! The 4th vertex is not in the plane defined by the 1 st three! 8/28/14 Ross Beveridge & Bruce A. Draper, 2014 Slide 26

14 Surfaces: Connected Polygons! A mesh surface is then just a set of nonoverlapping polygons that share vertices and edges Triangle Strip Quad Mesh 8/28/14 Ross Beveridge & Bruce A. Draper, 2014 Slide 27 Surfaces generally not planar! Although every polygon in the mesh must be.! Patches form a locally linear approximation to a curved surface. Permission to use requested from Daniel Rypl at the Czech Technical University in Prague (8/22/12) 8/28/14 Ross Beveridge & Bruce A. Draper,

15 Meshes as Matrices! A mesh is a set of N 3D vertices! Represented as a 3 N matrix! Each column is a vertex " x 1 x 2 x 3 L x N % $ ' M = $ y 1 y 2 y 3 L y N ' # $ z 1 z 2 z 3 L z N &'! With an index vector to show which vertices belong to which polygon! E.g. ((1,2,3), (2,3,4), ) 8/28/14 Ross Beveridge & Bruce A. Draper, 2014 Slide 29 A Touch of Reality?! How many polygons?! Why make them?! Quote from Wired article:! Animating a Blockbuster: How Pixar Built Toy Story 3 Bobby Podesta, supervising animator of Toy Story 3, has been with Pixar since 1997 and, like most animators, considers himself an actor. My job is to convince you that the stack of polygons on the screen is actually alive, he says. Link to Story: 8/28/14 Ross Beveridge & Bruce A. Draper,

3D Modeling & Sketchup

3D Modeling & Sketchup 3D Modeling & Sketchup Lecture 118, Tuesday October 30th, 2014 SketchUp / SkechUp Pro Available to CS 410 students on Windows Machines in USB 110. 10/30/14 Bruce A. Draper & J. Ross Beveridge 2014 2 Sketchup

More information

Photorealism: Ray Tracing

Photorealism: Ray Tracing Photorealism: Ray Tracing Reading Assignment: Chapter 13 Local vs. Global Illumination Local Illumination depends on local object and light sources only Global Illumination at a point can depend on any

More information

Models and Architectures

Models and Architectures Models and Architectures Objectives Learn the basic design of a graphics system Introduce graphics pipeline architecture Examine software components for an interactive graphics system 1 Image Formation

More information

Models and Architectures. Ed Angel Professor of Computer Science, Electrical and Computer Engineering, and Media Arts University of New Mexico

Models and Architectures. Ed Angel Professor of Computer Science, Electrical and Computer Engineering, and Media Arts University of New Mexico Models and Architectures Ed Angel Professor of Computer Science, Electrical and Computer Engineering, and Media Arts University of New Mexico 1 Objectives Learn the basic design of a graphics system Introduce

More information

CHAPTER 1 Graphics Systems and Models 3

CHAPTER 1 Graphics Systems and Models 3 ?????? 1 CHAPTER 1 Graphics Systems and Models 3 1.1 Applications of Computer Graphics 4 1.1.1 Display of Information............. 4 1.1.2 Design.................... 5 1.1.3 Simulation and Animation...........

More information

Lecture 19: All Together with Refraction

Lecture 19: All Together with Refraction Lecture 19: All Together with Refraction December 1, 2016 12/1/16 CSU CS410 Fall 2016, Ross Beveridge & Bruce Draper 1 How about Interreflections? Note reflections Granite tabletop Visible on base Also

More information

Introduction to Computer Graphics with WebGL

Introduction to Computer Graphics with WebGL Introduction to Computer Graphics with WebGL Ed Angel Professor Emeritus of Computer Science Founding Director, Arts, Research, Technology and Science Laboratory University of New Mexico Models and Architectures

More information

Computer Graphics I Lecture 11

Computer Graphics I Lecture 11 15-462 Computer Graphics I Lecture 11 Midterm Review Assignment 3 Movie Midterm Review Midterm Preview February 26, 2002 Frank Pfenning Carnegie Mellon University http://www.cs.cmu.edu/~fp/courses/graphics/

More information

Movie: Geri s Game. Announcements. Ray Casting 2. Programming 2 Recap. Programming 3 Info Test data for part 1 (Lines) is available

Movie: Geri s Game. Announcements. Ray Casting 2. Programming 2 Recap. Programming 3 Info Test data for part 1 (Lines) is available Now Playing: Movie: Geri s Game Pixar, 1997 Academny Award Winner, Best Short Film Quicksand Under Carpet New Radiant Storm King from Leftover Blues: 1991-003 Released 004 Ray Casting Rick Skarbez, Instructor

More information

Rendering. Converting a 3D scene to a 2D image. Camera. Light. Rendering. View Plane

Rendering. Converting a 3D scene to a 2D image. Camera. Light. Rendering. View Plane Rendering Pipeline Rendering Converting a 3D scene to a 2D image Rendering Light Camera 3D Model View Plane Rendering Converting a 3D scene to a 2D image Basic rendering tasks: Modeling: creating the world

More information

Lecturer Athanasios Nikolaidis

Lecturer Athanasios Nikolaidis Lecturer Athanasios Nikolaidis Computer Graphics: Graphics primitives 2D viewing and clipping 2D and 3D transformations Curves and surfaces Rendering and ray tracing Illumination models Shading models

More information

Introduction Ray tracing basics Advanced topics (shading) Advanced topics (geometry) Graphics 2010/2011, 4th quarter. Lecture 11: Ray tracing

Introduction Ray tracing basics Advanced topics (shading) Advanced topics (geometry) Graphics 2010/2011, 4th quarter. Lecture 11: Ray tracing Lecture 11 Ray tracing Introduction Projection vs. ray tracing Projection Ray tracing Rendering Projection vs. ray tracing Projection Ray tracing Basic methods for image generation Major areas of computer

More information

Turn on the Lights: Reflectance

Turn on the Lights: Reflectance Turn on the Lights: Reflectance Part 2: Shading Tuesday, October 15 2012 Lecture #14 Goal of Shading Model simple light sources Point light sources Extended light sources Ambient lighting Model lighting

More information

Computer Graphics. Lecture 13. Global Illumination 1: Ray Tracing and Radiosity. Taku Komura

Computer Graphics. Lecture 13. Global Illumination 1: Ray Tracing and Radiosity. Taku Komura Computer Graphics Lecture 13 Global Illumination 1: Ray Tracing and Radiosity Taku Komura 1 Rendering techniques Can be classified as Local Illumination techniques Global Illumination techniques Local

More information

Ray Tracing Basics I. Computer Graphics as Virtual Photography. camera (captures light) real scene. photo. Photographic print. Photography: processing

Ray Tracing Basics I. Computer Graphics as Virtual Photography. camera (captures light) real scene. photo. Photographic print. Photography: processing Ray Tracing Basics I Computer Graphics as Virtual Photography Photography: real scene camera (captures light) photo processing Photographic print processing Computer Graphics: 3D models camera model (focuses

More information

CS354 Computer Graphics Ray Tracing. Qixing Huang Januray 24th 2017

CS354 Computer Graphics Ray Tracing. Qixing Huang Januray 24th 2017 CS354 Computer Graphics Ray Tracing Qixing Huang Januray 24th 2017 Graphics Pipeline Elements of rendering Object Light Material Camera Geometric optics Modern theories of light treat it as both a wave

More information

Chapter 7 - Light, Materials, Appearance

Chapter 7 - Light, Materials, Appearance Chapter 7 - Light, Materials, Appearance Types of light in nature and in CG Shadows Using lights in CG Illumination models Textures and maps Procedural surface descriptions Literature: E. Angel/D. Shreiner,

More information

Computer Graphics 1. Chapter 7 (June 17th, 2010, 2-4pm): Shading and rendering. LMU München Medieninformatik Andreas Butz Computergraphik 1 SS2010

Computer Graphics 1. Chapter 7 (June 17th, 2010, 2-4pm): Shading and rendering. LMU München Medieninformatik Andreas Butz Computergraphik 1 SS2010 Computer Graphics 1 Chapter 7 (June 17th, 2010, 2-4pm): Shading and rendering 1 The 3D rendering pipeline (our version for this class) 3D models in model coordinates 3D models in world coordinates 2D Polygons

More information

Pipeline Operations. CS 4620 Lecture 10

Pipeline Operations. CS 4620 Lecture 10 Pipeline Operations CS 4620 Lecture 10 2008 Steve Marschner 1 Hidden surface elimination Goal is to figure out which color to make the pixels based on what s in front of what. Hidden surface elimination

More information

lecture 18 - ray tracing - environment mapping - refraction

lecture 18 - ray tracing - environment mapping - refraction lecture 18 - ray tracing - environment mapping - refraction Recall Ray Casting (lectures 7, 8) for each pixel (x,y) { cast a ray through that pixel into the scene, and find the closest surface along the

More information

Intro to Ray-Tracing & Ray-Surface Acceleration

Intro to Ray-Tracing & Ray-Surface Acceleration Lecture 12 & 13: Intro to Ray-Tracing & Ray-Surface Acceleration Computer Graphics and Imaging UC Berkeley Course Roadmap Rasterization Pipeline Core Concepts Sampling Antialiasing Transforms Geometric

More information

graphics pipeline computer graphics graphics pipeline 2009 fabio pellacini 1

graphics pipeline computer graphics graphics pipeline 2009 fabio pellacini 1 graphics pipeline computer graphics graphics pipeline 2009 fabio pellacini 1 graphics pipeline sequence of operations to generate an image using object-order processing primitives processed one-at-a-time

More information

graphics pipeline computer graphics graphics pipeline 2009 fabio pellacini 1

graphics pipeline computer graphics graphics pipeline 2009 fabio pellacini 1 graphics pipeline computer graphics graphics pipeline 2009 fabio pellacini 1 graphics pipeline sequence of operations to generate an image using object-order processing primitives processed one-at-a-time

More information

CS 381 Computer Graphics, Fall 2008 Midterm Exam Solutions. The Midterm Exam was given in class on Thursday, October 23, 2008.

CS 381 Computer Graphics, Fall 2008 Midterm Exam Solutions. The Midterm Exam was given in class on Thursday, October 23, 2008. CS 381 Computer Graphics, Fall 2008 Midterm Exam Solutions The Midterm Exam was given in class on Thursday, October 23, 2008. 1. [4 pts] Drawing Where? Your instructor says that objects should always be

More information

(a) rotating 45 0 about the origin and then translating in the direction of vector I by 4 units and (b) translating and then rotation.

(a) rotating 45 0 about the origin and then translating in the direction of vector I by 4 units and (b) translating and then rotation. Code No: R05221201 Set No. 1 1. (a) List and explain the applications of Computer Graphics. (b) With a neat cross- sectional view explain the functioning of CRT devices. 2. (a) Write the modified version

More information

Computer Graphics (CS 543) Lecture 10: Soft Shadows (Maps and Volumes), Normal and Bump Mapping

Computer Graphics (CS 543) Lecture 10: Soft Shadows (Maps and Volumes), Normal and Bump Mapping Computer Graphics (CS 543) Lecture 10: Soft Shadows (Maps and Volumes), Normal and Bump Mapping Prof Emmanuel Agu Computer Science Dept. Worcester Polytechnic Institute (WPI) Shadow Buffer Theory Observation:

More information

Interactive Computer Graphics A TOP-DOWN APPROACH WITH SHADER-BASED OPENGL

Interactive Computer Graphics A TOP-DOWN APPROACH WITH SHADER-BASED OPENGL International Edition Interactive Computer Graphics A TOP-DOWN APPROACH WITH SHADER-BASED OPENGL Sixth Edition Edward Angel Dave Shreiner Interactive Computer Graphics: A Top-Down Approach with Shader-Based

More information

Recollection. Models Pixels. Model transformation Viewport transformation Clipping Rasterization Texturing + Lights & shadows

Recollection. Models Pixels. Model transformation Viewport transformation Clipping Rasterization Texturing + Lights & shadows Recollection Models Pixels Model transformation Viewport transformation Clipping Rasterization Texturing + Lights & shadows Can be computed in different stages 1 So far we came to Geometry model 3 Surface

More information

COMP environment mapping Mar. 12, r = 2n(n v) v

COMP environment mapping Mar. 12, r = 2n(n v) v Rendering mirror surfaces The next texture mapping method assumes we have a mirror surface, or at least a reflectance function that contains a mirror component. Examples might be a car window or hood,

More information

Lighting. To do. Course Outline. This Lecture. Continue to work on ray programming assignment Start thinking about final project

Lighting. To do. Course Outline. This Lecture. Continue to work on ray programming assignment Start thinking about final project To do Continue to work on ray programming assignment Start thinking about final project Lighting Course Outline 3D Graphics Pipeline Modeling (Creating 3D Geometry) Mesh; modeling; sampling; Interaction

More information

Computer Graphics. Lecture 10. Global Illumination 1: Ray Tracing and Radiosity. Taku Komura 12/03/15

Computer Graphics. Lecture 10. Global Illumination 1: Ray Tracing and Radiosity. Taku Komura 12/03/15 Computer Graphics Lecture 10 Global Illumination 1: Ray Tracing and Radiosity Taku Komura 1 Rendering techniques Can be classified as Local Illumination techniques Global Illumination techniques Local

More information

Computer Graphics: Programming, Problem Solving, and Visual Communication

Computer Graphics: Programming, Problem Solving, and Visual Communication Computer Graphics: Programming, Problem Solving, and Visual Communication Dr. Steve Cunningham Computer Science Department California State University Stanislaus Turlock, CA 95382 copyright 2002, Steve

More information

Level of Details in Computer Rendering

Level of Details in Computer Rendering Level of Details in Computer Rendering Ariel Shamir Overview 1. Photo realism vs. Non photo realism (NPR) 2. Objects representations 3. Level of details Photo Realism Vs. Non Pixar Demonstrations Sketching,

More information

Ray-Tracing. Misha Kazhdan

Ray-Tracing. Misha Kazhdan Ray-Tracing Misha Kazhdan Ray-Tracing In graphics, we often represent the surface of a 3D shape by a set of triangles. Goal: Ray-Tracing Take a collection of triangles representing a 3D scene and render

More information

Computer Graphics. Shadows

Computer Graphics. Shadows Computer Graphics Lecture 10 Shadows Taku Komura Today Shadows Overview Projective shadows Shadow texture Shadow volume Shadow map Soft shadows Why Shadows? Shadows tell us about the relative locations

More information

CMSC427 Final Practice v2 Fall 2017

CMSC427 Final Practice v2 Fall 2017 CMSC427 Final Practice v2 Fall 2017 This is to represent the flow of the final and give you an idea of relative weighting. No promises that knowing this will predict how you ll do on the final. Some questions

More information

CS5620 Intro to Computer Graphics

CS5620 Intro to Computer Graphics So Far wireframe hidden surfaces Next step 1 2 Light! Need to understand: How lighting works Types of lights Types of surfaces How shading works Shading algorithms What s Missing? Lighting vs. Shading

More information

Consider a partially transparent object that is illuminated with two lights, one visible from each side of the object. Start with a ray from the eye

Consider a partially transparent object that is illuminated with two lights, one visible from each side of the object. Start with a ray from the eye Ray Tracing What was the rendering equation? Motivate & list the terms. Relate the rendering equation to forward ray tracing. Why is forward ray tracing not good for image formation? What is the difference

More information

Today. Rendering algorithms. Rendering algorithms. Images. Images. Rendering Algorithms. Course overview Organization Introduction to ray tracing

Today. Rendering algorithms. Rendering algorithms. Images. Images. Rendering Algorithms. Course overview Organization Introduction to ray tracing Today Rendering Algorithms Course overview Organization Introduction to ray tracing Spring 2009 Matthias Zwicker Universität Bern Rendering algorithms Problem statement Given computer representation of

More information

Luxo Jr. (Pixar, 1986) Last Time. Real Cameras and Ray Tracing. Standard Rasterization. Lights, Cameras, Surfaces. Now Playing:

Luxo Jr. (Pixar, 1986) Last Time. Real Cameras and Ray Tracing. Standard Rasterization. Lights, Cameras, Surfaces. Now Playing: Now Playing: Luxo Jr. (Pixar, 1986) Giant Steps From Giant Steps Recorded May 4-5, 1959 John Coltrane - Tenor Sax Tommy Flanagan - Piano Paul Chambers - Bass Art Taylor - Drums Real Cameras and Ray Tracing

More information

Overview. Computer Graphics CS324. OpenGL. Books. Learning Resources. CS131 Notes. 30 Lectures 3hr Exam

Overview. Computer Graphics CS324. OpenGL. Books. Learning Resources. CS131 Notes. 30 Lectures 3hr Exam Computer Graphics CS324 Dr Abhir Bhalerao Department of Computer Science University of Warwick Coventry CV4 7AL TJA 1999-2003, AHB 2004+ 30 Lectures 3hr Exam Overview Recommended books: Hearn and Baker,

More information

Computer Graphics 10 - Shadows

Computer Graphics 10 - Shadows Computer Graphics 10 - Shadows Tom Thorne Slides courtesy of Taku Komura www.inf.ed.ac.uk/teaching/courses/cg Overview Shadows Overview Projective shadows Shadow textures Shadow volume Shadow map Soft

More information

COMP371 COMPUTER GRAPHICS

COMP371 COMPUTER GRAPHICS COMP371 COMPUTER GRAPHICS SESSION 15 RAY TRACING 1 Announcements Programming Assignment 3 out today - overview @ end of the class Ray Tracing 2 Lecture Overview Review of last class Ray Tracing 3 Local

More information

Pipeline Operations. CS 4620 Lecture Steve Marschner. Cornell CS4620 Spring 2018 Lecture 11

Pipeline Operations. CS 4620 Lecture Steve Marschner. Cornell CS4620 Spring 2018 Lecture 11 Pipeline Operations CS 4620 Lecture 11 1 Pipeline you are here APPLICATION COMMAND STREAM 3D transformations; shading VERTEX PROCESSING TRANSFORMED GEOMETRY conversion of primitives to pixels RASTERIZATION

More information

Computer Graphics. Si Lu. Fall uter_graphics.htm 11/22/2017

Computer Graphics. Si Lu. Fall uter_graphics.htm 11/22/2017 Computer Graphics Si Lu Fall 2017 http://web.cecs.pdx.edu/~lusi/cs447/cs447_547_comp uter_graphics.htm 11/22/2017 Last time o Splines 2 Today o Raytracing o Final Exam: 14:00-15:30, Novermber 29, 2017

More information

Computer Graphics. Instructor: Oren Kapah. Office Hours: T.B.A.

Computer Graphics. Instructor: Oren Kapah. Office Hours: T.B.A. Computer Graphics Instructor: Oren Kapah (orenkapahbiu@gmail.com) Office Hours: T.B.A. The CG-IDC slides for this course were created by Toky & Hagit Hel-Or 1 CG-IDC 2 Exercise and Homework The exercise

More information

Rendering Algorithms: Real-time indirect illumination. Spring 2010 Matthias Zwicker

Rendering Algorithms: Real-time indirect illumination. Spring 2010 Matthias Zwicker Rendering Algorithms: Real-time indirect illumination Spring 2010 Matthias Zwicker Today Real-time indirect illumination Ray tracing vs. Rasterization Screen space techniques Visibility & shadows Instant

More information

Camera Placement for Ray Tracing

Camera Placement for Ray Tracing Camera Placement for Ray Tracing Lecture #3 Tuesday 0/4/4 st Review Camera Placement! The following slides review last Thursday s Lecture on world to camera transforms.! To see shift to raytracing context,

More information

Rasterization Overview

Rasterization Overview Rendering Overview The process of generating an image given a virtual camera objects light sources Various techniques rasterization (topic of this course) raytracing (topic of the course Advanced Computer

More information

Computer Graphics Introduction. Taku Komura

Computer Graphics Introduction. Taku Komura Computer Graphics Introduction Taku Komura What s this course all about? We will cover Graphics programming and algorithms Graphics data structures Applied geometry, modeling and rendering Not covering

More information

Ray Polygon Intersection.

Ray Polygon Intersection. Ray Polygon Intersection. Lecture #17 Thursday, October 28th, 2014 Review - Ray Casting! Goal: throw rays through pixels, intersect them with surfaces! Compute surface reflectance at points of intersection

More information

Computer Graphics. Lecture 02 Graphics Pipeline. Edirlei Soares de Lima.

Computer Graphics. Lecture 02 Graphics Pipeline. Edirlei Soares de Lima. Computer Graphics Lecture 02 Graphics Pipeline Edirlei Soares de Lima What is the graphics pipeline? The Graphics Pipeline is a special software/hardware subsystem

More information

Pipeline Operations. CS 4620 Lecture 14

Pipeline Operations. CS 4620 Lecture 14 Pipeline Operations CS 4620 Lecture 14 2014 Steve Marschner 1 Pipeline you are here APPLICATION COMMAND STREAM 3D transformations; shading VERTEX PROCESSING TRANSFORMED GEOMETRY conversion of primitives

More information

Global Illumination CS334. Daniel G. Aliaga Department of Computer Science Purdue University

Global Illumination CS334. Daniel G. Aliaga Department of Computer Science Purdue University Global Illumination CS334 Daniel G. Aliaga Department of Computer Science Purdue University Recall: Lighting and Shading Light sources Point light Models an omnidirectional light source (e.g., a bulb)

More information

Interpolation using scanline algorithm

Interpolation using scanline algorithm Interpolation using scanline algorithm Idea: Exploit knowledge about already computed color values. Traverse projected triangle top-down using scanline. Compute start and end color value of each pixel

More information

Ray Tracing. Kjetil Babington

Ray Tracing. Kjetil Babington Ray Tracing Kjetil Babington 21.10.2011 1 Introduction What is Ray Tracing? Act of tracing a ray through some scene Not necessarily for rendering Rendering with Ray Tracing Ray Tracing is a global illumination

More information

CMSC427 Advanced shading getting global illumination by local methods. Credit: slides Prof. Zwicker

CMSC427 Advanced shading getting global illumination by local methods. Credit: slides Prof. Zwicker CMSC427 Advanced shading getting global illumination by local methods Credit: slides Prof. Zwicker Topics Shadows Environment maps Reflection mapping Irradiance environment maps Ambient occlusion Reflection

More information

Computer Graphics. Lecture 14 Bump-mapping, Global Illumination (1)

Computer Graphics. Lecture 14 Bump-mapping, Global Illumination (1) Computer Graphics Lecture 14 Bump-mapping, Global Illumination (1) Today - Bump mapping - Displacement mapping - Global Illumination Radiosity Bump Mapping - A method to increase the realism of 3D objects

More information

Topics and things to know about them:

Topics and things to know about them: Practice Final CMSC 427 Distributed Tuesday, December 11, 2007 Review Session, Monday, December 17, 5:00pm, 4424 AV Williams Final: 10:30 AM Wednesday, December 19, 2007 General Guidelines: The final will

More information

Ray Tracing. CSCI 420 Computer Graphics Lecture 15. Ray Casting Shadow Rays Reflection and Transmission [Ch ]

Ray Tracing. CSCI 420 Computer Graphics Lecture 15. Ray Casting Shadow Rays Reflection and Transmission [Ch ] CSCI 420 Computer Graphics Lecture 15 Ray Tracing Ray Casting Shadow Rays Reflection and Transmission [Ch. 13.2-13.3] Jernej Barbic University of Southern California 1 Local Illumination Object illuminations

More information

Problem Set 4 Part 1 CMSC 427 Distributed: Thursday, November 1, 2007 Due: Tuesday, November 20, 2007

Problem Set 4 Part 1 CMSC 427 Distributed: Thursday, November 1, 2007 Due: Tuesday, November 20, 2007 Problem Set 4 Part 1 CMSC 427 Distributed: Thursday, November 1, 2007 Due: Tuesday, November 20, 2007 Programming For this assignment you will write a simple ray tracer. It will be written in C++ without

More information

Module Contact: Dr Stephen Laycock, CMP Copyright of the University of East Anglia Version 1

Module Contact: Dr Stephen Laycock, CMP Copyright of the University of East Anglia Version 1 UNIVERSITY OF EAST ANGLIA School of Computing Sciences Main Series PG Examination 2013-14 COMPUTER GAMES DEVELOPMENT CMPSME27 Time allowed: 2 hours Answer any THREE questions. (40 marks each) Notes are

More information

GLOBAL EDITION. Interactive Computer Graphics. A Top-Down Approach with WebGL SEVENTH EDITION. Edward Angel Dave Shreiner

GLOBAL EDITION. Interactive Computer Graphics. A Top-Down Approach with WebGL SEVENTH EDITION. Edward Angel Dave Shreiner GLOBAL EDITION Interactive Computer Graphics A Top-Down Approach with WebGL SEVENTH EDITION Edward Angel Dave Shreiner This page is intentionally left blank. Interactive Computer Graphics with WebGL, Global

More information

03 RENDERING PART TWO

03 RENDERING PART TWO 03 RENDERING PART TWO WHAT WE HAVE SO FAR: GEOMETRY AFTER TRANSFORMATION AND SOME BASIC CLIPPING / CULLING TEXTURES AND MAPPING MATERIAL VISUALLY DISTINGUISHES 2 OBJECTS WITH IDENTICAL GEOMETRY FOR NOW,

More information

lecture 19 Shadows - ray tracing - shadow mapping - ambient occlusion Interreflections

lecture 19 Shadows - ray tracing - shadow mapping - ambient occlusion Interreflections lecture 19 Shadows - ray tracing - shadow mapping - ambient occlusion Interreflections In cinema and photography, shadows are important for setting mood and directing attention. Shadows indicate spatial

More information

Movie: For The Birds. Announcements. Ray Tracing 1. Programming 2 Recap. Programming 3 Info Test data for part 1 (Lines) is available

Movie: For The Birds. Announcements. Ray Tracing 1. Programming 2 Recap. Programming 3 Info Test data for part 1 (Lines) is available Now Playing: Movie: For The Birds Pixar, 2000 Liar Built To Spill from You In Reverse Released April 11, 2006 Ray Tracing 1 Rick Skarbez, Instructor COMP 575 November 1, 2007 Announcements Programming

More information

Image Formation. Introduction to Computer Graphics. Machiraju/Zhang/Möller/Klaffenböck

Image Formation. Introduction to Computer Graphics. Machiraju/Zhang/Möller/Klaffenböck Image Formation Introduction to Computer Graphics Machiraju/Zhang/Möller/Klaffenböck Today Input and displays of a graphics system Raster display basics: pixels, the frame buffer, raster scan, LCD displays

More information

Ray Casting of Trimmed NURBS Surfaces on the GPU

Ray Casting of Trimmed NURBS Surfaces on the GPU Ray Casting of Trimmed NURBS Surfaces on the GPU Hans-Friedrich Pabst Jan P. Springer André Schollmeyer Robert Lenhardt Christian Lessig Bernd Fröhlich Bauhaus University Weimar Faculty of Media Virtual

More information

Lahore University of Management Sciences. CS 452 Computer Graphics

Lahore University of Management Sciences. CS 452 Computer Graphics CS 452 Computer Graphics Fall 2015-16 Instructor Murtaza Taj Room No. SSE Block 10-301 Office Hours TBA Email murtaza.taj@lums.edu.pk Telephone 3301 Secretary/TA TBA TA Office Hours TBA Course URL (if

More information

Computer Graphics. Chapter 1 (Related to Introduction to Computer Graphics Using Java 2D and 3D)

Computer Graphics. Chapter 1 (Related to Introduction to Computer Graphics Using Java 2D and 3D) Computer Graphics Chapter 1 (Related to Introduction to Computer Graphics Using Java 2D and 3D) Introduction Applications of Computer Graphics: 1) Display of Information 2) Design 3) Simulation 4) User

More information

Topic 12: Texture Mapping. Motivation Sources of texture Texture coordinates Bump mapping, mip-mapping & env mapping

Topic 12: Texture Mapping. Motivation Sources of texture Texture coordinates Bump mapping, mip-mapping & env mapping Topic 12: Texture Mapping Motivation Sources of texture Texture coordinates Bump mapping, mip-mapping & env mapping Texture sources: Photographs Texture sources: Procedural Texture sources: Solid textures

More information

Lecture 11: Ray tracing (cont.)

Lecture 11: Ray tracing (cont.) Interactive Computer Graphics Ray tracing - Summary Lecture 11: Ray tracing (cont.) Graphics Lecture 10: Slide 1 Some slides adopted from H. Pfister, Harvard Graphics Lecture 10: Slide 2 Ray tracing -

More information

EF432. Introduction to spagetti and meatballs

EF432. Introduction to spagetti and meatballs EF432 Introduction to spagetti and meatballs CSC 418/2504: Computer Graphics Course web site (includes course information sheet): http://www.dgp.toronto.edu/~karan/courses/418/ Instructors: L2501, T 6-8pm

More information

Global Rendering. Ingela Nyström 1. Effects needed for realism. The Rendering Equation. Local vs global rendering. Light-material interaction

Global Rendering. Ingela Nyström 1. Effects needed for realism. The Rendering Equation. Local vs global rendering. Light-material interaction Effects needed for realism Global Rendering Computer Graphics 1, Fall 2005 Lecture 7 4th ed.: Ch 6.10, 12.1-12.5 Shadows Reflections (Mirrors) Transparency Interreflections Detail (Textures etc.) Complex

More information

CPSC GLOBAL ILLUMINATION

CPSC GLOBAL ILLUMINATION CPSC 314 21 GLOBAL ILLUMINATION Textbook: 20 UGRAD.CS.UBC.CA/~CS314 Mikhail Bessmeltsev ILLUMINATION MODELS/ALGORITHMS Local illumination - Fast Ignore real physics, approximate the look Interaction of

More information

Orthogonal Projection Matrices. Angel and Shreiner: Interactive Computer Graphics 7E Addison-Wesley 2015

Orthogonal Projection Matrices. Angel and Shreiner: Interactive Computer Graphics 7E Addison-Wesley 2015 Orthogonal Projection Matrices 1 Objectives Derive the projection matrices used for standard orthogonal projections Introduce oblique projections Introduce projection normalization 2 Normalization Rather

More information

Graphics and Interaction Rendering pipeline & object modelling

Graphics and Interaction Rendering pipeline & object modelling 433-324 Graphics and Interaction Rendering pipeline & object modelling Department of Computer Science and Software Engineering The Lecture outline Introduction to Modelling Polygonal geometry The rendering

More information

CIS 581 Interactive Computer Graphics

CIS 581 Interactive Computer Graphics CIS 581 Interactive Computer Graphics Instructor: Han-Wei Shen (hwshen@cse.ohio-state.edu) Credit: 4 Class: MWF 2:30 pm 3:18 pm DL 264 Office hours: TuTr 11 am - 12pm DL 789 Web: http://www.cse.ohio-state.edu/~hwshen/581

More information

Illumination and Shading

Illumination and Shading Illumination and Shading Illumination (Lighting)! Model the interaction of light with surface points to determine their final color and brightness! The illumination can be computed either at vertices or

More information

CS230 : Computer Graphics Lecture 4. Tamar Shinar Computer Science & Engineering UC Riverside

CS230 : Computer Graphics Lecture 4. Tamar Shinar Computer Science & Engineering UC Riverside CS230 : Computer Graphics Lecture 4 Tamar Shinar Computer Science & Engineering UC Riverside Shadows Shadows for each pixel do compute viewing ray if ( ray hits an object with t in [0, inf] ) then compute

More information

Global Illumination. COMP 575/770 Spring 2013

Global Illumination. COMP 575/770 Spring 2013 Global Illumination COMP 575/770 Spring 2013 Final Exam and Projects COMP 575 Final Exam Friday, May 3 4:00 pm COMP 770 (and 575 extra credit) Projects Final report due by end of day, May 1 Presentations:

More information

INTRODUCTION. Slides modified from Angel book 6e

INTRODUCTION. Slides modified from Angel book 6e INTRODUCTION Slides modified from Angel book 6e Fall 2012 COSC4328/5327 Computer Graphics 2 Objectives Historical introduction to computer graphics Fundamental imaging notions Physical basis for image

More information

Survey in Computer Graphics Computer Graphics and Visualization

Survey in Computer Graphics Computer Graphics and Visualization Example of a Marble Ball Where did this image come from? Fall 2010 What hardware/software/algorithms did we need to produce it? 2 A Basic Graphics System History of Computer Graphics 1200-2008 Input devices

More information

Rendering: Reality. Eye acts as pinhole camera. Photons from light hit objects

Rendering: Reality. Eye acts as pinhole camera. Photons from light hit objects Basic Ray Tracing Rendering: Reality Eye acts as pinhole camera Photons from light hit objects Rendering: Reality Eye acts as pinhole camera Photons from light hit objects Rendering: Reality Eye acts as

More information

CSE328 Fundamentals of Computer Graphics: Concepts, Theory, Algorithms, and Applications

CSE328 Fundamentals of Computer Graphics: Concepts, Theory, Algorithms, and Applications CSE328 Fundamentals of Computer Graphics: Concepts, Theory, Algorithms, and Applications Hong Qin State University of New York at Stony Brook (Stony Brook University) Stony Brook, New York 11794--4400

More information

RASTERISED RENDERING

RASTERISED RENDERING DH2323 DGI16 INTRODUCTION TO COMPUTER GRAPHICS AND INTERACTION RASTERISED RENDERING Christopher Peters HPCViz, KTH Royal Institute of Technology, Sweden chpeters@kth.se http://kth.academia.edu/christopheredwardpeters

More information

Chapter 4. Chapter 4. Computer Graphics 2006/2007 Chapter 4. Introduction to 3D 1

Chapter 4. Chapter 4. Computer Graphics 2006/2007 Chapter 4. Introduction to 3D 1 Chapter 4 Chapter 4 Chapter 4. Introduction to 3D graphics 4.1 Scene traversal 4.2 Modeling transformation 4.3 Viewing transformation 4.4 Clipping 4.5 Hidden faces removal 4.6 Projection 4.7 Lighting 4.8

More information

Topic 11: Texture Mapping 11/13/2017. Texture sources: Solid textures. Texture sources: Synthesized

Topic 11: Texture Mapping 11/13/2017. Texture sources: Solid textures. Texture sources: Synthesized Topic 11: Texture Mapping Motivation Sources of texture Texture coordinates Bump mapping, mip mapping & env mapping Texture sources: Photographs Texture sources: Procedural Texture sources: Solid textures

More information

Introduction to Visualization and Computer Graphics

Introduction to Visualization and Computer Graphics Introduction to Visualization and Computer Graphics DH2320, Fall 2015 Prof. Dr. Tino Weinkauf Introduction to Visualization and Computer Graphics Visibility Shading 3D Rendering Geometric Model Color Perspective

More information

CS 325 Computer Graphics

CS 325 Computer Graphics CS 325 Computer Graphics 04 / 02 / 2012 Instructor: Michael Eckmann Today s Topics Questions? Comments? Illumination modelling Ambient, Diffuse, Specular Reflection Surface Rendering / Shading models Flat

More information

COMP30019 Graphics and Interaction Rendering pipeline & object modelling

COMP30019 Graphics and Interaction Rendering pipeline & object modelling COMP30019 Graphics and Interaction Rendering pipeline & object modelling Department of Computer Science and Software Engineering The Lecture outline Introduction to Modelling Polygonal geometry The rendering

More information

Lecture outline. COMP30019 Graphics and Interaction Rendering pipeline & object modelling. Introduction to modelling

Lecture outline. COMP30019 Graphics and Interaction Rendering pipeline & object modelling. Introduction to modelling Lecture outline COMP30019 Graphics and Interaction Rendering pipeline & object modelling Department of Computer Science and Software Engineering The Introduction to Modelling Polygonal geometry The rendering

More information

Effects needed for Realism. Computer Graphics (Fall 2008) Ray Tracing. Ray Tracing: History. Outline

Effects needed for Realism. Computer Graphics (Fall 2008) Ray Tracing. Ray Tracing: History. Outline Computer Graphics (Fall 2008) COMS 4160, Lecture 15: Ray Tracing http://www.cs.columbia.edu/~cs4160 Effects needed for Realism (Soft) Shadows Reflections (Mirrors and Glossy) Transparency (Water, Glass)

More information

Mach band effect. The Mach band effect increases the visual unpleasant representation of curved surface using flat shading.

Mach band effect. The Mach band effect increases the visual unpleasant representation of curved surface using flat shading. Mach band effect The Mach band effect increases the visual unpleasant representation of curved surface using flat shading. A B 320322: Graphics and Visualization 456 Mach band effect The Mach band effect

More information

Graphics for VEs. Ruth Aylett

Graphics for VEs. Ruth Aylett Graphics for VEs Ruth Aylett Overview VE Software Graphics for VEs The graphics pipeline Projections Lighting Shading VR software Two main types of software used: off-line authoring or modelling packages

More information