Advanced Graphics

Size: px
Start display at page:

Download "Advanced Graphics"

Transcription

1 Advanced Graphics Prof. Dr.-Ing. Lars Linsen Spring 2015

2 0. Introduction : Advanced Graphics - Chapter 1 2

3 0.1 Syllabus : Advanced Graphics - Chapter 1 3

4 Course Website (accessible through CampusWeb) : Advanced Graphics - Chapter 1 4

5 Content Computer graphics deals with the digital synthesis and manipulation of visual content, typically embedded in a threedimensional scene. Prominent tasks in computer graphics are geometry processing, rendering, and animation. Geometry processing is concerned with object representations such as surfaces and their modeling, rendering is concerned with simulating light transport to get physically-based photorealistic images of 3D scenes or applying a certain style to create non-photorealistic images, and animation is concerned with descriptions for objects that move or deform over time. Methods that tackle these three tasks are being taught : Advanced Graphics - Chapter 1 5

6 Pre-requisites Graphics and Visualization Co-requisites Advanced Graphics Lab (for graduate students) : Advanced Graphics - Chapter 1 6

7 Lectures Times: Monday 9:45am-11am Wednesday 8:15am 9:30am. Location: West Hall : Advanced Graphics - Chapter 1 7

8 Instructor Lars Linsen Office: Res I, 128. Phone: l.linsen Office hours: by appointment : Advanced Graphics - Chapter 1 8

9 Assignments There will be three assignments: Project 1: Project 2: Project 3: Handed out: Feb 18 Handed out: Mar 18 Handed out: Apr 15 Due: Mar 18 Due: Apr 15 Due: May : Advanced Graphics - Chapter 1 9

10 Exams There will be a midterm and a final examination. It is planned to have a written midterm and an oral final examination : Advanced Graphics - Chapter 1 10

11 Grading The assignments will contribute 20%, the midterm exam 30%, and the final exam 50% to the overall grade : Advanced Graphics - Chapter 1 11

12 Dates Lectures (1) Week 1: Week 2: Week 3: Week 4: Week 5: Week 6: Week 7: Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 No lecture off campus Lecture 12 Lecture : Advanced Graphics - Chapter 1 12

13 Dates Lectures (2) Week 8: Week 9: Week 10: Week 11: Week 12: Week 13: Week 14: Lecture 14 Lecture 15 Spring break Holiday Lecture 16 Lecture 17 Lecture 18 Lecture 19 Lecture 20 Lecture 21 Lecture 22 Lecture 23 Lecture 24 Lecture 25 Lecture : Advanced Graphics - Chapter 1 13

14 Dates - Exams Midterm: Final: tbd (finals week) : Advanced Graphics - Chapter 1 14

15 Lab There will be no exams. There will be 5 course-accompanying project assignments. Solutions that are handed in late lead to reduced credit (-15% per day). Exceptions are only made with an official excuse. The grade is to 100% based on the projects : Advanced Graphics - Chapter 1 15

16 Dates - Assignments Project 1: Project 2: Project 3: Project 4: Project 5: Handed out: Handed out: Handed out: Handed out: Handed out: Due: Due: Due: Due: Due: : Advanced Graphics - Chapter 1 16

17 Literature Rick Parent: Computer Animation: Algorithms and Techniques, Morgan Kaufman Publishers, 2nd Edition, Matt Pharr & Greg Humphreys: Physically-based Rendering: From Theory to Implementation, Elsevier, 2nd Edition, Selected journal and conference proceedings papers as announced in class. Dave Shreiner, Mason Woo, and Jackie Neider: OpenGL Programming Guide: The Official Guide to Learning OpenGL, Addison-Wesley Longman, 3rd edition, (Old version available at Randi J. Rost and Bill Licea-Kane: OpenGL Shading Language, Addison-Wesley, 3rd edition, : Advanced Graphics - Chapter 1 17

18 0.2 Goal : Advanced Graphics - Chapter 1 18

19 Goal Deepen and broaden concepts and techniques in 3D computer graphics : Advanced Graphics - Chapter 1 19

20 0.3 Content : Advanced Graphics - Chapter 1 20

21 Content Modeling Rendering mesh data structures subdivision surfaces multiresolution meshes meshsmoothing mesh parametrization Animation deformation morphing particle systems spring-mass models applications global illumination montecarlomethods light field lumigraph non-photorealism GPU programming: GL shading language : Advanced Graphics - Chapter 1 21

22 Examples : Advanced Graphics - Chapter 1 22

23 Examples : Advanced Graphics - Chapter 1 23

24 revisited 1. Geometric Background 2. Object Representation 3. Raster Graphics 4. Color Models 5. Illumination 6. Shading 7. Global Illumination 8. Textures 9. Data Visualization 10. Curves and Surfaces : Advanced Graphics - Chapter 1 24

25 Graphics Programming Graphical user interface (GUI) Windowing system X Integrated in OS: Microsoft Windows, Mac OS Microsoft Direct3D OpenGL (Open Graphics Library) OpenGL 2.0 (and higher) GLSL (GL Shading Language) Cg (nvidia) HLSL (high level shader language, DirectX) GPGPU programming: CUDA (nvidia), CTM (ATI), OpenCL : Advanced Graphics - Chapter 1 25

26 1. Modeling : Advanced Graphics - Chapter 1 26

27 Goal Changing the shape of objects to adjust to desired look to improve shape to improve representation / appearance : Advanced Graphics - Chapter 1 27

28 Driving questions How can we modify the shape? What representations support these changes? How can we obtain intuitive modeling operations? How can we obtain interactive modeling operations? How can we fix undesired changes quickly? How can we improve appearance? How can we improve quality? How can we judge quality? : Advanced Graphics - Chapter 1 28

29 1.1 Object representation (revisited) : Advanced Graphics - Chapter 1 29

30 Boundary representations Objects are typically represented by their boundary surfaces : Advanced Graphics - Chapter 1 30

31 Manifold surfaces Boundary representations lead to manifold surfaces, i.e. 2-manifolds. Definition: A 2-manifold is a surface, where for each surface point the surface is locally homeomorphic to a disk. non-manifold surface : Advanced Graphics - Chapter 1 31

32 Topology Genus = number of handles genus 0 genus 1 genus : Advanced Graphics - Chapter 1 32

33 Homeomorphism homeomorph = topologically isomorph : Advanced Graphics - Chapter 1 33

34 Acquisition vs. generation : Advanced Graphics - Chapter 1 34

35 Acquisition vs. generation : Advanced Graphics - Chapter 1 35

36 Acquisition vs. generation : Advanced Graphics - Chapter 1 36

37 Acquisition vs. generation : Advanced Graphics - Chapter 1 37

38 Implicit vs. explicit representation acquired generated explicit implicit : Advanced Graphics - Chapter 1 38

39 A. Explicit surface representations : Advanced Graphics - Chapter 1 39

40 Explicit surface representations polygonal meshes : Advanced Graphics - Chapter 1 40

41 Heightfield : Advanced Graphics - Chapter 1 41

42 Arbitrary triangular mesh : Advanced Graphics - Chapter 1 42

43 Almost regular triangular mesh : Advanced Graphics - Chapter 1 43

44 Almost regular quadrilateral mesh : Advanced Graphics - Chapter 1 44

45 Euler formula For closed polygonal meshes V E + F = 2 (1-g) with V = # vertices E = # edges F = # faces g = genus Example: Cube = : Advanced Graphics - Chapter 1 45

46 3D Laser Scanner : Advanced Graphics - Chapter 1 46

47 Point Cloud : Advanced Graphics - Chapter 1 47

48 Surface Reconstruction : Advanced Graphics - Chapter 1 48

49 Point Cloud Rendering : Advanced Graphics - Chapter 1 49

50 Splat-based Rendering : Advanced Graphics - Chapter 1 50

51 Computer Aided Geometric Design : Advanced Graphics - Chapter 1 51

52 Piecewise polynomial surfaces Freeform surfaces Bézier surfaces B-spline surfaces : Advanced Graphics - Chapter 1 52

53 B. Implicit surface representations : Advanced Graphics - Chapter 1 53

54 Quadrics ellipsoid : Advanced Graphics - Chapter 1 54

55 Hyperboloid : Advanced Graphics - Chapter 1 55

56 Paraboloid : Advanced Graphics - Chapter 1 56

57 Constructive Solid Geometry (CSG) : Advanced Graphics - Chapter 1 57

58 Boolean operations : Advanced Graphics - Chapter 1 58

59 Boolean operations : Advanced Graphics - Chapter 1 59

60 Volume data : Advanced Graphics - Chapter 1 60

61 Isosurface : Advanced Graphics - Chapter 1 61

62 C. Conversion : Advanced Graphics - Chapter 1 62

63 Implicit to explicit Isosurface extraction E.g. Marching Cubes : Advanced Graphics - Chapter 1 63

64 Explicit to implicit Create a signed distance field generate a grid compute at each grid point the signed distance to the surface : Advanced Graphics - Chapter 1 64

65 1.2 Mesh Data Structures : Advanced Graphics - Chapter 1 65

66 References Mario Botsch, Mark Pauly, Leif Kobbelt, Pierre Alliez, Bruno Lévy, Stephan Bischoff, and Christian Rössl, Geometric modeling based on polygonal meshes. SIGGRAPH '07: ACM SIGGRAPH 2007 courses, ACM, Kenneth I. Joy, Justin Legakis, and Ron MacCracken: Data Structures for Multiresolution Representation of Unstructured Meshes. in: Hierarchical Approximation and Geometric Methods for Scientific Visualization, Gerald Farin, Hans Hagen, and Bernd Hamann (editors), Springer-Verlag, Heidelberg, Germany, : Advanced Graphics - Chapter 1 66

67 Polygon soup array of vertices array of polygons (stored as sequence of vertex indices) Example: vertices = [(v1.x,v1.y,v1.z), ] triangles = [(1,2,3),(2,3,4), ] Advantage: memory efficient : Advanced Graphics - Chapter 1 67

Advanced Visualization

Advanced Visualization 320581 Advanced Visualization Prof. Lars Linsen Fall 2011 0 Introduction 0.1 Syllabus and Organization Course Website Link in CampusNet: http://www.faculty.jacobsuniversity.de/llinsen/teaching/320581.htm

More information

Welcome to CS 4/57101 Computer Graphics

Welcome to CS 4/57101 Computer Graphics Welcome to CS 4/57101 Computer Graphics Goal: The goal of this course is to provide an introduction to the theory and practice of computer graphics. The course will assume a good background in programming

More information

CS5620 Intro to Computer Graphics

CS5620 Intro to Computer Graphics CS 5620 Fall 2015 www.youtube.com/watch?v=hjhic0mt4ts 3 Computer Graphics Synthesis of static/dynamic 2D images from 3D geometry using computers Teaching Staff Lecturer: Prof. Craig Gotsman Class: Mon

More information

Lecture 1 Course Introduction

Lecture 1 Course Introduction UMass Lowell Computer Science 91.580.201 Geometric Modeling Prof. Karen Daniels Spring, 2009 Lecture 1 Course Introduction Course Introduction What is Geometric Modeling? Adapted from: Geometric Modeling

More information

COMPUTER GRAPHICS CS

COMPUTER GRAPHICS CS COMPUTER GRAPHICS CS-234325 http://webcourse.cs.technion.ac.il/234325/ Lecture Syllabus Introduction (1 week) Transformations (2 weeks) Line Drawing (1 weeks) Polygon Fill (1 week) Hidden Surface Removal

More information

Lecture 0 of 41: Part A Course Organization. Introduction to Computer Graphics: Course Organization and Survey

Lecture 0 of 41: Part A Course Organization. Introduction to Computer Graphics: Course Organization and Survey Lecture 0 of 41: Part A Course Organization : Course Organization and Survey William H. Hsu Department of Computing and Information Sciences, KSU KSOL course page: http://bit.ly/hgvxlh Course web site:

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 206-7 Instructor Room No. Office Hours Email Murtaza Taj 9-GA TBA murtaza.taj@lums.edu.pk Telephone 330 Secretary/TA TA Office Hours Course URL (if any) TBA TBA LMS Course

More information

Overview of 3D Object Representations

Overview of 3D Object Representations Overview of 3D Object Representations Thomas Funkhouser Princeton University C0S 426, Fall 2000 Course Syllabus I. Image processing II. Rendering III. Modeling IV. Animation Image Processing (Rusty Coleman,

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

3D Modeling I. CG08b Lior Shapira Lecture 8. Based on: Thomas Funkhouser,Princeton University. Thomas Funkhouser 2000

3D Modeling I. CG08b Lior Shapira Lecture 8. Based on: Thomas Funkhouser,Princeton University. Thomas Funkhouser 2000 3D Modeling I CG08b Lior Shapira Lecture 8 Based on: Thomas Funkhouser,Princeton University Course Syllabus I. Image processing II. Rendering III. Modeling IV. Animation Image Processing (Rusty Coleman,

More information

Advanced Computer Graphics

Advanced Computer Graphics Advanced Computer Graphics Lecture 2: Modeling (1): Polygon Meshes Bernhard Jung TU-BAF, Summer 2007 Overview Computer Graphics Icon: Utah teapot Polygon Meshes Subdivision Polygon Mesh Optimization high-level:

More information

3D Object Representation. Michael Kazhdan ( /657)

3D Object Representation. Michael Kazhdan ( /657) 3D Object Representation Michael Kazhdan (601.457/657) 3D Objects How can this object be represented in a computer? 3D Objects This one? H&B Figure 10.46 3D Objects This one? H&B Figure 9.9 3D Objects

More information

CSC 7443: Scientific Information Visualization

CSC 7443: Scientific Information Visualization Scientific Information Visualization CSC 7443, Spring 2011 9:10 am to 10:30 am, Tuesday and Thursday 104 Audubon Hall Bijaya Bahadur Karki Course Description Catalog: Study computer visualization principles,

More information

Physically-Based Modeling and Animation. University of Missouri at Columbia

Physically-Based Modeling and Animation. University of Missouri at Columbia Overview of Geometric Modeling Overview 3D Shape Primitives: Points Vertices. Curves Lines, polylines, curves. Surfaces Triangle meshes, splines, subdivision surfaces, implicit surfaces, particles. Solids

More information

CSE 167: Introduction to Computer Graphics. Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2013

CSE 167: Introduction to Computer Graphics. Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2013 CSE 167: Introduction to Computer Graphics Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2013 Today Course organization Course overview 2 Course Staff Instructor Jürgen Schulze,

More information

Overview of 3D Object Representations

Overview of 3D Object Representations Overview of 3D Object Representations Thomas Funkhouser Princeton University C0S 597D, Fall 2003 3D Object Representations What makes a good 3D object representation? Stanford and Hearn & Baker 1 3D Object

More information

Introduction and Overview

Introduction and Overview CS 523: Computer Graphics, Spring 2009 Shape Modeling Introduction and Overview 1/28/2009 1 Geometric Modeling To describe any reallife object on the computer must start with shape (2D/3D) Geometry processing

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

Geometric Modeling. Bing-Yu Chen National Taiwan University The University of Tokyo

Geometric Modeling. Bing-Yu Chen National Taiwan University The University of Tokyo Geometric Modeling Bing-Yu Chen National Taiwan University The University of Tokyo What are 3D Objects? 3D Object Representations What are 3D objects? The Graphics Process 3D Object Representations Raw

More information

CIS 581 Interactive Computer Graphics (slides based on Dr. Han-Wei Shen s slides) Requirements. Reference Books. Textbook

CIS 581 Interactive Computer Graphics (slides based on Dr. Han-Wei Shen s slides) Requirements. Reference Books. Textbook CIS 581 Interactive Computer Graphics (slides based on Dr. Han-Wei Shen s slides) Instructor: Rick Parent (parent@cse.osu.edu) Credit: 4 Class: MWF 10:30 11:18 pm DL357 Office hours: MW 11:30 12:18 DL

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

Manipal Institute of Technology Manipal University Manipal

Manipal Institute of Technology Manipal University Manipal MIT/CSE/LM/13/R0 COMPUTER GRAPHICS LAB MANUAL FIFTH SEMESTER Department of Computer Science & Engineering 10pt. CREDIT SYSTEM (2014) Prepared by Approved by (Dr. P. C. Siddalingaswamy) (Head of the Department)

More information

Lecture 1. Computer Graphics and Systems. Tuesday, January 15, 13

Lecture 1. Computer Graphics and Systems. Tuesday, January 15, 13 Lecture 1 Computer Graphics and Systems What is Computer Graphics? Image Formation Sun Object Figure from Ed Angel,D.Shreiner: Interactive Computer Graphics, 6 th Ed., 2012 Addison Wesley Computer Graphics

More information

Curves & Surfaces. MIT EECS 6.837, Durand and Cutler

Curves & Surfaces. MIT EECS 6.837, Durand and Cutler Curves & Surfaces Schedule Sunday October 5 th, * 3-5 PM * Review Session for Quiz 1 Extra Office Hours on Monday Tuesday October 7 th : Quiz 1: In class 1 hand-written 8.5x11 sheet of notes allowed Wednesday

More information

CS452/552; EE465/505. Finale!

CS452/552; EE465/505. Finale! CS452/552; EE465/505 Finale! 4-23 15 Outline! Non-Photorealistic Rendering! What s Next? Read: Angel, Section 6.11 Nonphotorealistic Shading Color Plate 11 Cartoon-shaded teapot Final Exam: Monday, April

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

Subdivision Surfaces. Homework 1: Last Time? Today. Bilinear Patch. Tensor Product. Spline Surfaces / Patches

Subdivision Surfaces. Homework 1: Last Time? Today. Bilinear Patch. Tensor Product. Spline Surfaces / Patches Homework 1: Questions/Comments? Subdivision Surfaces Last Time? Curves & Surfaces Continuity Definitions Spline Surfaces / Patches Tensor Product Bilinear Patches Bezier Patches Trimming Curves C0, G1,

More information

CSCD18: Computer Graphics. Instructor: Leonid Sigal

CSCD18: Computer Graphics. Instructor: Leonid Sigal CSCD18: Computer Graphics Instructor: Leonid Sigal CSCD18: Computer Graphics Instructor: Leonid Sigal (call me Leon) lsigal@utsc.utoronto.ca www.cs.toronto.edu/~ls/ Office: SW626 Office Hour: M, 12-1pm?

More information

Computer Graphics. - Introduction - Hendrik Lensch. Computer Graphics WS07/08 - Introduction

Computer Graphics. - Introduction - Hendrik Lensch. Computer Graphics WS07/08 - Introduction Computer Graphics - Introduction - Hendrik Lensch Overview Today Administrative stuff Introduction First lecture Ray Tracing I General Information Core Lecture (Stammvorlesung) Applied Computer Science

More information

Modeling 3D Objects: Part 2

Modeling 3D Objects: Part 2 Modeling 3D Objects: Part 2 Patches, NURBS, Solids Modeling, Spatial Subdivisioning, and Implicit Functions 3D Computer Graphics by Alan Watt Third Edition, Pearson Education Limited, 2000 General Modeling

More information

CSCE 441 Computer Graphics Fall 2018

CSCE 441 Computer Graphics Fall 2018 CSCE 441 Computer Graphics Fall 2018 Meetings: Monday, Wednesday, Friday 9:10-10:00 a.m. Location: HRBB 113 Instructor: Dr. John Keyser Office: 527C, H.R. Bright Building Phone: 458-0167 Email: keyser@cse.tamu.edu

More information

CS 179: GPU Programming

CS 179: GPU Programming CS 179: GPU Programming Introduction Lecture originally written by Luke Durant, Tamas Szalay, Russell McClellan What We Will Cover Programming GPUs, of course: OpenGL Shader Language (GLSL) Compute Unified

More information

ce Hours: MW 12:30 PM 1:30 PM (till 12/12/18), or by appointment

ce Hours: MW 12:30 PM 1:30 PM (till 12/12/18), or by appointment DRAFT EXCERPT (Subject to Revision) CS459-001 Fundamentals of Computer Graphics, Fall 2018 LEC 401 MW 2:00 pm 2:50 pm, PHY 145 LAB 801 Th 9:00 am 10:45 am, EMS 942 LAB 802 Th 11:00 am 12:45 pm, EMS 942

More information

CS535: Interactive Computer Graphics

CS535: Interactive Computer Graphics CS535: Interactive Computer Graphics Instructor: Daniel G. Aliaga (aliaga@cs.purdue.edu, www.cs.purdue.edu/homes/aliaga) Classroom: LWSN B134 Time: MWF @ 1:30-2:20pm Office hours: by appointment (LWSN

More information

Course Producer. Prerequisites. Textbooks. Academic integrity. Grading. Ming Chen. Same office hours as TA. The Hobbit: The Desolation of Smaug (2013)

Course Producer. Prerequisites. Textbooks. Academic integrity. Grading. Ming Chen. Same office hours as TA. The Hobbit: The Desolation of Smaug (2013) CSCI 420 Computer Graphics Lecture 1 Course Information On-Line Course Overview http://www-bcf.usc.edu/~jbarbic/cs420-s18/ Administrative Issues Modeling Animation Rendering OpenGL Programming [Angel Ch.

More information

Subdivision Surfaces. Course Syllabus. Course Syllabus. Modeling. Equivalence of Representations. 3D Object Representations

Subdivision Surfaces. Course Syllabus. Course Syllabus. Modeling. Equivalence of Representations. 3D Object Representations Subdivision Surfaces Adam Finkelstein Princeton University COS 426, Spring 2003 Course Syllabus I. Image processing II. Rendering III. Modeling IV. Animation Image Processing (Rusty Coleman, CS426, Fall99)

More information

Course Web Site ENGN2501 DIGITAL GEOMETRY PROCESSING. Tue & Thu Barus&Holley 157

Course Web Site ENGN2501 DIGITAL GEOMETRY PROCESSING. Tue & Thu Barus&Holley 157 ENGN2501 DIGITAL GEOMETRY PROCESSING Tue & Thu 2:30-3:50 @ Barus&Holley 157 Instructor: Gabriel Taubin http://mesh.brown.edu/dgp } Polygon Meshes / Point Clouds } Representation / Data

More information

Computer Graphics Disciplines. Grading. Textbooks. Course Overview. Assignment Policies. Computer Graphics Goals I

Computer Graphics Disciplines. Grading. Textbooks. Course Overview. Assignment Policies. Computer Graphics Goals I CSCI 480 Computer Graphics Lecture 1 Course Overview January 10, 2011 Jernej Barbic University of Southern California Administrative Issues Modeling Animation Rendering OpenGL Programming Course Information

More information

Multiresolution Remeshing Using Weighted Centroidal Voronoi Diagram

Multiresolution Remeshing Using Weighted Centroidal Voronoi Diagram Multiresolution Remeshing Using Weighted Centroidal Voronoi Diagram Chao-Hung Lin 1, Chung-Ren Yan 2, Ji-Hsen Hsu 2, and Tong-Yee Lee 2 1 Dept. of Geomatics, National Cheng Kung University, Taiwan 2 Dept.

More information

Computer Graphics ( /657) Prof. Misha Kazhdan

Computer Graphics ( /657) Prof. Misha Kazhdan Computer Graphics (600.457/657) Prof. Misha Kazhdan misha@cs.jhu.edu Outline Introduction Syllabus Coursework Miscellaneous Introduction: What is CG? 2D image processing 3D object representation & manipulation

More information

3D Modeling Parametric Curves & Surfaces. Shandong University Spring 2013

3D Modeling Parametric Curves & Surfaces. Shandong University Spring 2013 3D Modeling Parametric Curves & Surfaces Shandong University Spring 2013 3D Object Representations Raw data Point cloud Range image Polygon soup Surfaces Mesh Subdivision Parametric Implicit Solids Voxels

More information

INF3320 Computer Graphics and Discrete Geometry

INF3320 Computer Graphics and Discrete Geometry INF3320 Computer Graphics and Discrete Geometry More smooth Curves and Surfaces Christopher Dyken, Michael Floater and Martin Reimers 10.11.2010 Page 1 More smooth Curves and Surfaces Akenine-Möller, Haines

More information

2.11 Particle Systems

2.11 Particle Systems 2.11 Particle Systems 320491: Advanced Graphics - Chapter 2 152 Particle Systems Lagrangian method not mesh-based set of particles to model time-dependent phenomena such as snow fire smoke 320491: Advanced

More information

Advanced Geometric Modeling CPSC789

Advanced Geometric Modeling CPSC789 Advanced Geometric Modeling CPSC789 Fall 2004 General information about the course CPSC 789 Advanced Geometric Modeling Fall 2004 Lecture Time and Place ENF 334 TR 9:30 10:45 Instructor : Office: MS 618

More information

Modeling. Simulating the Everyday World

Modeling. Simulating the Everyday World Modeling Simulating the Everyday World Three broad areas: Modeling (Geometric) = Shape Animation = Motion/Behavior Rendering = Appearance Page 1 Geometric Modeling 1. How to represent 3d shapes Polygonal

More information

Graphics and Visualization (GV)

Graphics and Visualization (GV) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Graphics and Visualization (GV) Computer graphics is the term commonly used to describe the computer generation and manipulation

More information

CS380: Computer Graphics Introduction. Sung-Eui Yoon ( 윤성의 ) Course URL:

CS380: Computer Graphics Introduction. Sung-Eui Yoon ( 윤성의 ) Course URL: CS380: Computer Graphics Introduction Sung-Eui Yoon ( 윤성의 ) Course URL: http://sglab.kaist.ac.kr/~sungeui/cg About the Instructor Joined KAIST at 2007 Main Research Focus Handle massive data for various

More information

Computer Aided Engineering Applications

Computer Aided Engineering Applications Computer Aided Engineering Applications 1A.Geometric Modeling 1.1 Geometric modelling methods 1.2 Data representation 1.3 Modeling functions 1.4 Structure of a CAD system Engi 6928 - Fall 2014 1.Geometric

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 2010 Matthias Zwicker Universität Bern Rendering algorithms Problem statement Given computer representation of

More information

9. Three Dimensional Object Representations

9. Three Dimensional Object Representations 9. Three Dimensional Object Representations Methods: Polygon and Quadric surfaces: For simple Euclidean objects Spline surfaces and construction: For curved surfaces Procedural methods: Eg. Fractals, Particle

More information

Local Modification of Subdivision Surfaces Based on Curved Mesh

Local Modification of Subdivision Surfaces Based on Curved Mesh Local Modification of Subdivision Surfaces Based on Curved Mesh Yoshimasa Tokuyama Tokyo Polytechnic University tokuyama@image.t-kougei.ac.jp Kouichi Konno Iwate University konno@cis.iwate-u.ac.jp Junji

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 0 of 41: Part B Course Content. Advanced Computer Graphics: Course Organization and Survey

Lecture 0 of 41: Part B Course Content. Advanced Computer Graphics: Course Organization and Survey Lecture 0 of 41: Part B Course Content : Course Organization and Survey William H. Hsu Department of Computing and Information Sciences, KSU KSOL course page: Course web site: http://www.kddresearch.org/courses/cis736

More information

Why modern versions of OpenGL should be used Some useful API commands and extensions

Why modern versions of OpenGL should be used Some useful API commands and extensions Michał Radziszewski Why modern versions of OpenGL should be used Some useful API commands and extensions Timer Query EXT Direct State Access (DSA) Geometry Programs Position in pipeline Rendering wireframe

More information

Computer Graphics (CS 543) Lecture 1 (Part 1): Introduction to Computer Graphics

Computer Graphics (CS 543) Lecture 1 (Part 1): Introduction to Computer Graphics Computer Graphics (CS 543) Lecture 1 (Part 1): Introduction to Computer Graphics Prof Emmanuel Agu Computer Science Dept. Worcester Polytechnic Institute (WPI) What is Computer Graphics (CG)? Computer

More information

CONSTRUCTIONS OF QUADRILATERAL MESHES: A COMPARATIVE STUDY

CONSTRUCTIONS OF QUADRILATERAL MESHES: A COMPARATIVE STUDY South Bohemia Mathematical Letters Volume 24, (2016), No. 1, 43-48. CONSTRUCTIONS OF QUADRILATERAL MESHES: A COMPARATIVE STUDY PETRA SURYNKOVÁ abstrakt. Polygonal meshes represent important geometric structures

More information

11/1/13. Polygon Meshes and Implicit Surfaces. Shape Representations. Polygon Models in OpenGL. Modeling Complex Shapes

11/1/13. Polygon Meshes and Implicit Surfaces. Shape Representations. Polygon Models in OpenGL. Modeling Complex Shapes CSCI 420 Computer Graphics Lecture 7 and Constructive Solid Geometry [Angel Ch. 12.1-12.3] Jernej Barbic University of Southern California Modeling Complex Shapes An equation for a sphere is possible,

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

Subdivision Surfaces. Homework 1: Questions on Homework? Last Time? Today. Tensor Product. What s an illegal edge collapse?

Subdivision Surfaces. Homework 1: Questions on Homework? Last Time? Today. Tensor Product. What s an illegal edge collapse? Homework 1: Questions/Comments? Subdivision Surfaces Questions on Homework? Last Time? What s an illegal edge collapse? Curves & Surfaces Continuity Definitions 2 3 C0, G1, C1, C 1 a b 4 Interpolation

More information

Subdivision Surfaces. Homework 1: Questions/Comments?

Subdivision Surfaces. Homework 1: Questions/Comments? Subdivision Surfaces Homework 1: Questions/Comments? 1 Questions on Homework? What s an illegal edge collapse? 1 2 3 a b 4 7 To be legal, the ring of vertex neighbors must be unique (have no duplicates)!

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

Curves & Surfaces. Last Time? Progressive Meshes. Selective Refinement. Adjacency Data Structures. Mesh Simplification. Mesh Simplification

Curves & Surfaces. Last Time? Progressive Meshes. Selective Refinement. Adjacency Data Structures. Mesh Simplification. Mesh Simplification Last Time? Adjacency Data Structures Curves & Surfaces Geometric & topologic information Dynamic allocation Efficiency of access Mesh Simplification edge collapse/vertex split geomorphs progressive transmission

More information

Animation & Rendering

Animation & Rendering 7M836 Animation & Rendering Introduction, color, raster graphics, modeling, transformations Arjan Kok, Kees Huizing, Huub van de Wetering h.v.d.wetering@tue.nl 1 Purpose Understand 3D computer graphics

More information

CSE 167: Introduction to Computer Graphics. Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2016

CSE 167: Introduction to Computer Graphics. Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2016 CSE 167: Introduction to Computer Graphics Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2016 Today Course organization Course overview 2 Course Staff Instructor Jürgen Schulze,

More information

CS GPU and GPGPU Programming Lecture 1: Introduction. Markus Hadwiger, KAUST

CS GPU and GPGPU Programming Lecture 1: Introduction. Markus Hadwiger, KAUST CS 380 - GPU and GPGPU Programming Lecture 1: Introduction Markus Hadwiger, KAUST Lecture Overview Goals Learn GPU architecture and programming; both for graphics and for computing (GPGPU) Shading languages

More information

CS GPU and GPGPU Programming Lecture 2: Introduction; GPU Architecture 1. Markus Hadwiger, KAUST

CS GPU and GPGPU Programming Lecture 2: Introduction; GPU Architecture 1. Markus Hadwiger, KAUST CS 380 - GPU and GPGPU Programming Lecture 2: Introduction; GPU Architecture 1 Markus Hadwiger, KAUST Reading Assignment #2 (until Feb. 17) Read (required): GLSL book, chapter 4 (The OpenGL Programmable

More information

Course Title: Computer Graphics Course no: CSC209

Course Title: Computer Graphics Course no: CSC209 Course Title: Computer Graphics Course no: CSC209 Nature of the Course: Theory + Lab Semester: III Full Marks: 60+20+20 Pass Marks: 24 +8+8 Credit Hrs: 3 Course Description: The course coversconcepts of

More information

Rendering Subdivision Surfaces Efficiently on the GPU

Rendering Subdivision Surfaces Efficiently on the GPU Rendering Subdivision Surfaces Efficiently on the GPU Gy. Antal, L. Szirmay-Kalos and L. A. Jeni Department of Algorithms and their Applications, Faculty of Informatics, Eötvös Loránd Science University,

More information

Information Coding / Computer Graphics, ISY, LiTH. Splines

Information Coding / Computer Graphics, ISY, LiTH. Splines 28(69) Splines Originally a drafting tool to create a smooth curve In computer graphics: a curve built from sections, each described by a 2nd or 3rd degree polynomial. Very common in non-real-time graphics,

More information

Introduction to Computer Graphics. Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2011

Introduction to Computer Graphics. Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2011 CSE 167: Introduction to Computer Graphics Jürgen P. Schulze, Ph.D. University of California, San Diego Fall Quarter 2011 Today Course overview Course organization Vectors and Matrices 2 What is computer

More information

A method in creating 3D models: From shape to shape, from shapes to model (October 2016)

A method in creating 3D models: From shape to shape, from shapes to model (October 2016) A method in creating 3D models: From shape to shape, from shapes to model (October 2016) M. Sinan Serbetcioglu, BS* Abstract In this paper, we try to create 3D models by using some geometrical primitives.

More information

Solid Modeling. Ron Goldman Department of Computer Science Rice University

Solid Modeling. Ron Goldman Department of Computer Science Rice University Solid Modeling Ron Goldman Department of Computer Science Rice University Solids Definition 1. A model which has a well defined inside and outside. 2. For each point, we can in principle determine whether

More information

X. GPU Programming. Jacobs University Visualization and Computer Graphics Lab : Advanced Graphics - Chapter X 1

X. GPU Programming. Jacobs University Visualization and Computer Graphics Lab : Advanced Graphics - Chapter X 1 X. GPU Programming 320491: Advanced Graphics - Chapter X 1 X.1 GPU Architecture 320491: Advanced Graphics - Chapter X 2 GPU Graphics Processing Unit Parallelized SIMD Architecture 112 processing cores

More information

3D Modeling Parametric Curves & Surfaces

3D Modeling Parametric Curves & Surfaces 3D Modeling Parametric Curves & Surfaces Shandong University Spring 2012 3D Object Representations Raw data Point cloud Range image Polygon soup Solids Voxels BSP tree CSG Sweep Surfaces Mesh Subdivision

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

Subdivision Surfaces

Subdivision Surfaces Subdivision Surfaces CS 4620 Lecture 31 Cornell CS4620 Fall 2015 1 Administration A5 due on Friday Dreamworks visiting Thu/Fri Rest of class Surfaces, Animation, Rendering w/ prior instructor Steve Marschner

More information

KOMAR UNIVERSITY OF SCIENCE AND TECHNOLOGY (KUST)

KOMAR UNIVERSITY OF SCIENCE AND TECHNOLOGY (KUST) Programming Concepts & Algorithms Course Syllabus Course Title Course Code Computer Department Pre-requisites Course Code Course Instructor Programming Concepts & Algorithms + lab CPE 405C Computer Department

More information

Mathematical Tools in Computer Graphics with C# Implementations Table of Contents

Mathematical Tools in Computer Graphics with C# Implementations Table of Contents Mathematical Tools in Computer Graphics with C# Implementations by Hardy Alexandre, Willi-Hans Steeb, World Scientific Publishing Company, Incorporated, 2008 Table of Contents List of Figures Notation

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

Polygon Meshes and Implicit Surfaces

Polygon Meshes and Implicit Surfaces CSCI 420 Computer Graphics Lecture 9 Polygon Meshes and Implicit Surfaces Polygon Meshes Implicit Surfaces Constructive Solid Geometry [Angel Ch. 10] Jernej Barbic University of Southern California 1 Modeling

More information

CS Systems Qualifying Exam 2016

CS Systems Qualifying Exam 2016 CS Systems Qualifying Exam 2016 Important Dates May 6 : Registration ends. Registration instructions are below. When you register, you must declare the three exams you plan to take. May 23 : Exams. Candidates

More information

Polygon Meshes and Implicit Surfaces

Polygon Meshes and Implicit Surfaces CSCI 420 Computer Graphics Lecture 9 and Constructive Solid Geometry [Angel Ch. 10] Jernej Barbic University of Southern California Modeling Complex Shapes An equation for a sphere is possible, but how

More information

ENGINEERING PROGRAMME

ENGINEERING PROGRAMME ENGINEERING PROGRAMME SPECIALISATION VIRTUAL REALITY Établissement public sous tutelle du ministère de l Enseignement supérieur, de la Recherche et de l Innovation École Centrale de Nantes 1 rue de la

More information

Geometric and Solid Modeling. Problems

Geometric and Solid Modeling. Problems Geometric and Solid Modeling Problems Define a Solid Define Representation Schemes Devise Data Structures Construct Solids Page 1 Mathematical Models Points Curves Surfaces Solids A shape is a set of Points

More information

Computer Graphics 1. Chapter 2 (May 19th, 2011, 2-4pm): 3D Modeling. LMU München Medieninformatik Andreas Butz Computergraphik 1 SS2011

Computer Graphics 1. Chapter 2 (May 19th, 2011, 2-4pm): 3D Modeling. LMU München Medieninformatik Andreas Butz Computergraphik 1 SS2011 Computer Graphics 1 Chapter 2 (May 19th, 2011, 2-4pm): 3D Modeling 1 The 3D rendering pipeline (our version for this class) 3D models in model coordinates 3D models in world coordinates 2D Polygons in

More information

INTRODUCTION TO CAD/CAM SYSTEMS IM LECTURE HOURS PER WEEK PRESENTIAL

INTRODUCTION TO CAD/CAM SYSTEMS IM LECTURE HOURS PER WEEK PRESENTIAL COURSE CODE INTENSITY MODALITY CHARACTERISTIC PRE-REQUISITE CO-REQUISITE CREDITS ACTUALIZATION DATE INTRODUCTION TO CAD/CAM SYSTEMS IM0242 3 LECTURE HOURS PER WEEK 48 HOURS CLASSROOM ON 16 WEEKS, 96 HOURS

More information

CS 481/681 Advanced Computer Graphics, Spring 2004 Take-Home Midterm Exam

CS 481/681 Advanced Computer Graphics, Spring 2004 Take-Home Midterm Exam CS 481/681 Advanced Computer Graphics, Spring 2004 Take-Home Midterm Exam Name This exam is to be done individually. It is due, in paper form, STAPLED, at the start of class on Wednesday, March 24, 2003.

More information

CEG477/CEG677. Computer Graphics II

CEG477/CEG677. Computer Graphics II CEG477/CEG677 Computer Graphics II 0-1 Outline 0 Introduction 1 Three-Dimensional Object Representations 2 Visible-Surface Detection Methods 3 Illumination Models and Surface-Rendering Methods 4 Interactive

More information

Motivation. Freeform Shape Representations for Efficient Geometry Processing. Operations on Geometric Objects. Functional Representations

Motivation. Freeform Shape Representations for Efficient Geometry Processing. Operations on Geometric Objects. Functional Representations Motivation Freeform Shape Representations for Efficient Geometry Processing Eurographics 23 Granada, Spain Geometry Processing (points, wireframes, patches, volumes) Efficient algorithms always have to

More information

TEACHING PLAN FAKULTI TEKNOLOGI MAKLUMAT DAN KOMUNIKASI UNIVERSITI TEKNIKAL MALAYSIA MELAKA

TEACHING PLAN FAKULTI TEKNOLOGI MAKLUMAT DAN KOMUNIKASI UNIVERSITI TEKNIKAL MALAYSIA MELAKA TEACHING PLAN FAKULTI TEKNOLOGI MAKLUMAT DAN KOMUNIKASI UNIVERSITI TEKNIKAL MALAYSIA MELAKA INTERACTIVE COMPUTER GRAPHI BITM STER SI 0/06 BITM INTERACTIVE COMPUTER GRAPHI (,, ) TYPE OF SUBJECT : K.0 LEARNING

More information

CS Systems Qualifying Exam 2017

CS Systems Qualifying Exam 2017 CS Systems Qualifying Exam 2017 Important Dates May 5: Registration ends. Registration instructions are below. When you register, you must declare the three exams you plan to take. May 22: Exams. Candidates

More information

Computer Graphics. Prof. Feng Liu. Fall /14/2016

Computer Graphics. Prof. Feng Liu. Fall /14/2016 Computer Graphics Prof. Feng Liu Fall 2016 http://www.cs.pdx.edu/~fliu/courses/cs447/ 11/14/2016 Last time Texture Mapping 2 Mid-term 3 Today Mesh and Modeling 4 The Story So Far We ve looked at images

More information

Binghamton University. EngiNet. Thomas J. Watson. School of Engineering and Applied Science. State University of New York. EngiNet WARNING CS 560

Binghamton University. EngiNet. Thomas J. Watson. School of Engineering and Applied Science. State University of New York. EngiNet WARNING CS 560 Binghamton University EngiNet State University of New York EngiNet Thomas J. Watson School of Engineering and Applied Science WARNING All rights reserved. No Part of this video lecture series may be reproduced

More information

Graphics Hardware. Instructor Stephen J. Guy

Graphics Hardware. Instructor Stephen J. Guy Instructor Stephen J. Guy Overview What is a GPU Evolution of GPU GPU Design Modern Features Programmability! Programming Examples Overview What is a GPU Evolution of GPU GPU Design Modern Features Programmability!

More information

From curves to surfaces. Parametric surfaces and solid modeling. Extrusions. Surfaces of revolution. So far have discussed spline curves in 2D

From curves to surfaces. Parametric surfaces and solid modeling. Extrusions. Surfaces of revolution. So far have discussed spline curves in 2D From curves to surfaces Parametric surfaces and solid modeling CS 465 Lecture 12 2007 Doug James & Steve Marschner 1 So far have discussed spline curves in 2D it turns out that this already provides of

More information

3D Modeling: Surfaces

3D Modeling: Surfaces CS 430/536 Computer Graphics I 3D Modeling: Surfaces Week 8, Lecture 16 David Breen, William Regli and Maxim Peysakhov Geometric and Intelligent Computing Laboratory Department of Computer Science Drexel

More information

Cornell CS4620 Fall 2011!Lecture Kavita Bala (with previous instructors James/Marschner) Cornell CS4620 Fall 2011!Lecture 1.

Cornell CS4620 Fall 2011!Lecture Kavita Bala (with previous instructors James/Marschner) Cornell CS4620 Fall 2011!Lecture 1. Computer graphics: The study of creating, manipulating, and using visual images in the computer. CS4620/5620: Introduction to Computer Graphics Professor: Kavita Bala 1 2 4 6 Or, to paraphrase Ken Perlin...

More information

Implicit Surfaces & Solid Representations COS 426

Implicit Surfaces & Solid Representations COS 426 Implicit Surfaces & Solid Representations COS 426 3D Object Representations Desirable properties of an object representation Easy to acquire Accurate Concise Intuitive editing Efficient editing Efficient

More information

G - Graphics

G - Graphics Coordinating unit: 270 - FIB - Barcelona School of Informatics Teaching unit: 723 - CS - Department of Computer Science Academic year: Degree: 2017 BACHELOR'S DEGREE IN INFORMATICS ENGINEERING (Syllabus

More information

0. Introduction: What is Computer Graphics? 1. Basics of scan conversion (line drawing) 2. Representing 2D curves

0. Introduction: What is Computer Graphics? 1. Basics of scan conversion (line drawing) 2. Representing 2D curves CSC 418/2504: Computer Graphics Course web site (includes course information sheet): http://www.dgp.toronto.edu/~elf Instructor: Eugene Fiume Office: BA 5266 Phone: 416 978 5472 (not a reliable way) Email:

More information