Polygonal Meshes. Thomas Funkhouser Princeton University COS 526, Fall 2016
|
|
- Job Harrington
- 5 years ago
- Views:
Transcription
1 Polygonal Meshes Thomas Funkhouser Princeton University COS 526, Fall 2016
2 Digital Geometry Processing Processing of 3D surfaces Creation, acquisition Storage, transmission Editing, animation, simulation Manufacture Analysis Applications Movies, games Computer-aided design Medicine, biology Art, history All fields with 3D data Sweldens
3 Digital Geometry Processing Many possible surface representations Polygonal meshes Parametric surfaces Subdivision surfaces Implicit surfaces etc.
4 Digital Geometry Processing Let s focus on 3D polygonal meshes Simple, common representation Rendering with hardware support Output of many acquisition tools Input to many simulation/analysis tools Stanford Graphics Lab
5 3D Polygonal Meshes Set of polygonal faces representing a 2D surface embedded in 3D Zorin & Schroeder, SIGGRAPH 99, Course Notes
6 3D Polygonal Meshes Set of polygonal faces representing a 2D surface embedded in 3D Edge Face Vertex Zorin & Schroeder, SIGGRAPH 99, Course Notes
7 Outline Acquisition Processing Analysis
8 Outline Acquisition Processing Analysis
9 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes
10 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes Sketchup Blender
11 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Princeton Shape Benchmark Simulations Physical processes
12 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes Digital Michelangelo Project Stanford
13 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes Large Geometric Model Repository Georgia Tech
14 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes MIT
15 Outline Acquisition Processing Analysis
16 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion
17 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Lossy Compression (Simplification) Garland
18 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion
19 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Sheffer
20 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Sheffer
21 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Novatnek et al.
22 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Katz & Tal
23 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Smoothing Sharpening Desbrun
24 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Sheffer
25 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Podolak
26 Outline Acquisition Processing Analysis
27 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality
28 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Schelling Points How can we find significant geometric features robustly?
29 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Input Mesh Skeletal Graph How can we decompose a 3D model into its parts?
30 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Engine Fuselage Semantic Labels Images courtesy of Ayellet Tal, Technion & Princeton University Engine Wing Wing (Golovinskiy, Lee, et al.) How can we decompose a 3D model into its parts?
31 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Images courtesy of Emil Praun How can we align features of 3D models?
32 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality How can we compute a measure of geometric similarity?
33 Written Exercise 3
34 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Harmonic Shape Descriptors How can we find similar 3D shapes in a database?
35 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Images courtesy of Florida State Univ. How can we find a given 3D model in a large database?
36 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Query Images courtesy of Darpa E3D Project Classes How can we determine the class of a 3D model?
37 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Images courtesy of Viewpoint How can we learn classes of 3D models automatically?
38 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Can we predict how an object might be used?
39 Programming Assignment 3
40 Upcoming Lectures Mesh representation Mesh processing Mesh analysis
Polygonal Meshes. 3D Object Representations. 3D Object Representations. 3D Polygonal Mesh. 3D Polygonal Mesh. Geometry background
3D Object Representations Polygonal Meshes Adam Finkelstein & Tim Weyrich Princeton University C0S 426, Spring 2008 Points o Range image o Point cloud Surfaces o Polygonal mesh o Subdivision o Parametric
More informationShape Analysis. Introduction. Introduction. Motivation. Introduction. Introduction. Thomas Funkhouser Princeton University CS526, Fall 2006
Introduction Cyberware, ATI, & 3Dcafe Analysis Thomas Funkhouser Princeton University CS526, Fall 2006 Cyberware Cheap Scanners ATI Fast Graphics Cards 3D Cafe World Wide Web Someday 3D models will be
More informationMultiresolution Meshes. COS 526 Tom Funkhouser, Fall 2016 Slides by Guskov, Praun, Sweldens, etc.
Multiresolution Meshes COS 526 Tom Funkhouser, Fall 2016 Slides by Guskov, Praun, Sweldens, etc. Motivation Huge meshes are difficult to render store transmit edit Multiresolution Meshes! [Guskov et al.]
More informationOverview 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 information3D 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 informationOverview 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 informationLecture 3 Mesh. Dr. Shuang LIANG. School of Software Engineering Tongji University Spring 2013
Lecture 3 Mesh Dr. Shuang LIANG School of Software Engineering Tongji University Spring 2013 Today s Topics Overview Mesh Acquisition Mesh Data Structures Subdivision Surfaces Today s Topics Overview Mesh
More informationIntroduction 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 informationGeometric Modeling For Computer Graphics
Geometric Modeling For Computer Graphics Thomas Funkhouser Princeton University C0S 598B, Spring 2000 Hypothesis 3D models will become ubiquitous (eventually) Laser range scanners World Wide Web Fast graphics
More informationSubdivision 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 informationGeometric 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 informationCS 532: 3D Computer Vision 12 th Set of Notes
1 CS 532: 3D Computer Vision 12 th Set of Notes Instructor: Philippos Mordohai Webpage: www.cs.stevens.edu/~mordohai E-mail: Philippos.Mordohai@stevens.edu Office: Lieb 215 Lecture Outline Meshes Slides
More informationPolygonal Mesh. Geometric object made of vertices, edges and faces. Faces are polygons. Polyhedron. Triangular mesh Quad mesh. Pyramid Cube Sphere (?
1 Mesh Modeling Polygonal Mesh Geometric object made of vertices, edges and faces Polyhedron Pyramid Cube Sphere (?) Can also be 2D (although much less interesting) Faces are polygons Triangular mesh Quad
More information3D 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 information3D Object Representations. COS 526, Fall 2016 Princeton University
3D Object Representations COS 526, Fall 2016 Princeton University 3D Object Representations How do we... Represent 3D objects in a computer? Acquire computer representations of 3D objects? Manipulate computer
More informationCloning Skeleton-driven Animation to Other Models
Cloning Skeleton-driven Animation to Other Models Wan-Chi Luo Jian-Bin Huang Bing-Yu Chen Pin-Chou Liu National Taiwan University {maggie, azar, toby}@cmlab.csie.ntu.edu.tw robin@ntu.edu.tw Abstract-3D
More informationComputer Graphics. CS52 Fall computer graphics introduction 2006 fabio pellacini 1
Computer Graphics CS52 Fall 2006 computer graphics introduction 2006 fabio pellacini 1 introduction computer graphics introduction 2006 fabio pellacini 2 Computer Graphics: the study of creating images
More informationCS5620 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 informationProcessing 3D Surface Data
Processing 3D Surface Data Computer Animation and Visualisation Lecture 12 Institute for Perception, Action & Behaviour School of Informatics 3D Surfaces 1 3D surface data... where from? Iso-surfacing
More informationCS123 INTRODUCTION TO COMPUTER GRAPHICS. Describing Shapes. Constructing Objects in Computer Graphics 1/15
Describing Shapes Constructing Objects in Computer Graphics 1/15 2D Object Definition (1/3) Lines and polylines: Polylines: lines drawn between ordered points A closed polyline is a polygon, a simple polygon
More informationSubdivision 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 informationData driven 3D shape analysis and synthesis
Data driven 3D shape analysis and synthesis Head Neck Torso Leg Tail Ear Evangelos Kalogerakis UMass Amherst 3D shapes for computer aided design Architecture Interior design 3D shapes for information visualization
More informationAdvanced 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 information3D Shape Analysis with Multi-view Convolutional Networks. Evangelos Kalogerakis
3D Shape Analysis with Multi-view Convolutional Networks Evangelos Kalogerakis 3D model repositories [3D Warehouse - video] 3D geometry acquisition [KinectFusion - video] 3D shapes come in various flavors
More information3/1/2010. Acceleration Techniques V1.2. Goals. Overview. Based on slides from Celine Loscos (v1.0)
Acceleration Techniques V1.2 Anthony Steed Based on slides from Celine Loscos (v1.0) Goals Although processor can now deal with many polygons (millions), the size of the models for application keeps on
More informationCourse 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 informationCS337 INTRODUCTION TO COMPUTER GRAPHICS. Describing Shapes. Constructing Objects in Computer Graphics. Bin Sheng Representing Shape 9/20/16 1/15
Describing Shapes Constructing Objects in Computer Graphics 1/15 2D Object Definition (1/3) Lines and polylines: Polylines: lines drawn between ordered points A closed polyline is a polygon, a simple polygon
More informationComputer Graphics. CS52 Winter computer graphics introduction 2008 fabio pellacini 1. introduction
Computer Graphics CS52 Winter 2008 computer graphics introduction 2008 fabio pellacini 1 introduction computer graphics introduction 2008 fabio pellacini 2 Computer Graphics: the study of creating images
More informationProcessing 3D Surface Data
Processing 3D Surface Data Computer Animation and Visualisation Lecture 17 Institute for Perception, Action & Behaviour School of Informatics 3D Surfaces 1 3D surface data... where from? Iso-surfacing
More informationGeometric Registration for Deformable Shapes 1.1 Introduction
Geometric Registration for Deformable Shapes 1.1 Introduction Overview Data Sources and Applications Problem Statement Overview Presenters Will Chang University of California at San Diego, USA Hao Li ETH
More informationProcessing 3D Surface Data
Processing 3D Surface Data Computer Animation and Visualisation Lecture 15 Institute for Perception, Action & Behaviour School of Informatics 3D Surfaces 1 3D surface data... where from? Iso-surfacing
More information3-Dimensional Object Modeling with Mesh Simplification Based Resolution Adjustment
3-Dimensional Object Modeling with Mesh Simplification Based Resolution Adjustment Özgür ULUCAY Sarp ERTÜRK University of Kocaeli Electronics & Communication Engineering Department 41040 Izmit, Kocaeli
More informationStatistics and Information Technology
Statistics and Information Technology Werner Stuetzle Professor and Chair, Statistics Adjunct Professor, Computer Science and Engineering University of Washington Prepared for NSF Workshop on Statistics:
More informationPreparation Meeting. Recent Advances in the Analysis of 3D Shapes. Emanuele Rodolà Matthias Vestner Thomas Windheuser Daniel Cremers
Preparation Meeting Recent Advances in the Analysis of 3D Shapes Emanuele Rodolà Matthias Vestner Thomas Windheuser Daniel Cremers What You Will Learn in the Seminar Get an overview on state of the art
More informationMaking Machines See. Roberto Cipolla Department of Engineering. Research team
Making Machines See Roberto Cipolla Department of Engineering Research team http://www.eng.cam.ac.uk/~cipolla/people.html Cognitive Systems Engineering Cognitive Systems Engineering Introduction Making
More informationMesh Simplification. Mesh Simplification. Mesh Simplification Goals. Mesh Simplification Motivation. Vertex Clustering. Mesh Simplification Overview
Mesh Simplification Mesh Simplification Adam Finkelstein Princeton University COS 56, Fall 008 Slides from: Funkhouser Division, Viewpoint, Cohen Mesh Simplification Motivation Interactive visualization
More informationCSE452 Computer Graphics
CSE452 Computer Graphics Lecture 19: From Morphing To Animation Capturing and Animating Skin Deformation in Human Motion, Park and Hodgins, SIGGRAPH 2006 CSE452 Lecture 19: From Morphing to Animation 1
More informationTriangle meshes I. CS 4620 Lecture Kavita Bala (with previous instructor Marschner) Cornell CS4620 Fall 2015 Lecture 2
Triangle meshes I CS 4620 Lecture 2 1 Shape http://fc00.deviantart.net/fs70/f/2014/220/5/3/audi_r8_render_by_smiska333-d7u9pjt.jpg spheres Andrzej Barabasz approximate sphere Rineau & Yvinec CGAL manual
More information3D Modeling techniques
3D Modeling techniques 0. Reconstruction From real data (not covered) 1. Procedural modeling Automatic modeling of a self-similar objects or scenes 2. Interactive modeling Provide tools to computer artists
More informationAn Introduction to Geometric Modeling using Polygonal Meshes
An Introduction to Geometric Modeling using Polygonal Meshes Joaquim Madeira Version 0.2 October 2014 U. Aveiro, October 2014 1 Main topics CG and affine areas Geometric Modeling Polygonal meshes Exact
More informationMesh Decimation Using VTK
Mesh Decimation Using VTK Michael Knapp knapp@cg.tuwien.ac.at Institute of Computer Graphics and Algorithms Vienna University of Technology Abstract This paper describes general mesh decimation methods
More information1. Introduction. 2. Parametrization of General CCSSs. 3. One-Piece through Interpolation. 4. One-Piece through Boolean Operations
Subdivision Surface based One-Piece Representation Shuhua Lai Department of Computer Science, University of Kentucky Outline. Introduction. Parametrization of General CCSSs 3. One-Piece through Interpolation
More informationDiscovering Similarities in 3D Data
Discovering Similarities in 3D Data Vladimir Kim, Tianqiang Liu, Sid Chaudhuri, Steve Diverdi, Wilmot Li, Niloy Mitra, Yaron Lipman, Thomas Funkhouser Motivation 3D data is widely available Medicine Mechanical
More informationVisualization Computer Graphics I Lecture 20
15-462 Computer Graphics I Lecture 20 Visualization Height Fields and Contours Scalar Fields Volume Rendering Vector Fields [Angel Ch. 12] November 20, 2003 Doug James Carnegie Mellon University http://www.cs.cmu.edu/~djames/15-462/fall03
More informationSolid Modeling. Thomas Funkhouser Princeton University C0S 426, Fall Represent solid interiors of objects
Solid Modeling Thomas Funkhouser Princeton University C0S 426, Fall 2000 Solid Modeling Represent solid interiors of objects Surface may not be described explicitly Visible Human (National Library of Medicine)
More informationParameterization of Triangular Meshes with Virtual Boundaries
Parameterization of Triangular Meshes with Virtual Boundaries Yunjin Lee 1;Λ Hyoung Seok Kim 2;y Seungyong Lee 1;z 1 Department of Computer Science and Engineering Pohang University of Science and Technology
More informationParametric description
Examples: surface of revolution Vase Torus Parametric description Parameterization for a subdivision curve Modeling Polygonal meshes Graphics I Faces Face based objects: Polygonal meshes OpenGL is based
More informationPhysically-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 informationCMSC 491A/691A Artistic Rendering. Announcements
CMSC 491A/691A Artistic Rendering Penny Rheingans UMBC Announcements Lab meeting: Tues 2pm, ITE 352, starting next week Proposal due Thurs 1 Shape Cues: Outlines Outline flat parts Outline important boundaries
More informationCut-and-Paste Editing of Multiresolution Surfaces
Cut-and-Paste Editing of Multiresolution Surfaces Henning Biermann, Ioana Martin, Fausto Bernardini, Denis Zorin NYU Media Research Lab IBM T. J. Watson Research Center Surface Pasting Transfer geometry
More informationEECS 487: Interactive Computer Graphics
EECS 487: Interactive Computer Graphics Lecture 36: Polygonal mesh simplification The Modeling-Rendering Paradigm Modeler: Modeling complex shapes no equation for a chair, face, etc. instead, achieve complexity
More informationPolygon 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 informationVisualization Computer Graphics I Lecture 20
15-462 Computer Graphics I Lecture 20 Visualization Height Fields and Contours Scalar Fields Volume Rendering Vector Fields [Angel Ch. 12] April 15, 2003 Frank Pfenning Carnegie Mellon University http://www.cs.cmu.edu/~fp/courses/graphics/
More informationPolygon 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 information3D Object Representation
3D Object Representation Connelly Barnes CS 4810: Graphics Acknowledgment: slides by Jason Lawrence, Misha Kazhdan, Allison Klein, Tom Funkhouser, Adam Finkelstein and David Dobkin 3D Object Representation
More informationAdvanced Graphics
320491 Advanced Graphics Prof. Dr.-Ing. Lars Linsen Spring 2015 0. Introduction 320491: Advanced Graphics - Chapter 1 2 0.1 Syllabus 320491: Advanced Graphics - Chapter 1 3 Course Website http://www.faculty.jacobsuniversity.de/llinsen/teaching/320491.htm
More information11/1/13. Visualization. Scientific Visualization. Types of Data. Height Field. Contour Curves. Meshes
CSCI 420 Computer Graphics Lecture 26 Visualization Height Fields and Contours Scalar Fields Volume Rendering Vector Fields [Angel Ch. 2.11] Jernej Barbic University of Southern California Scientific Visualization
More informationVisualization. CSCI 420 Computer Graphics Lecture 26
CSCI 420 Computer Graphics Lecture 26 Visualization Height Fields and Contours Scalar Fields Volume Rendering Vector Fields [Angel Ch. 11] Jernej Barbic University of Southern California 1 Scientific Visualization
More informationo Represent 3D objects in a computer? o Manipulate 3D objects with a computer? o CAD programs o Subdivision surface editors :)
Modeling How do we... o Represent 3D objects in a computer? Procedural Modeling Adam Finkelstein Princeton University COS 426, Spring 2003 o Construct such representations quickly and/or automatically
More informationImplicit 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 informationNormal Mesh Compression
Normal Mesh Compression Andrei Khodakovsky Caltech 549B (e:54, p:45db) 1225B (e:20, p:54db) Igor Guskov Caltech 3037B (e:8.1, p:62db) 18111B (e:1.77, p:75db) original Figure 1: Partial reconstructions
More information11/1/13. 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 informationand Recent Extensions Progressive Meshes Progressive Meshes Multiresolution Surface Modeling Multiresolution Surface Modeling Hugues Hoppe
Progressive Meshes Progressive Meshes and Recent Extensions Hugues Hoppe Microsoft Research SIGGRAPH 97 Course SIGGRAPH 97 Course Multiresolution Surface Modeling Multiresolution Surface Modeling Meshes
More informationCS 283: Assignment 1 Geometric Modeling and Mesh Simplification
CS 283: Assignment 1 Geometric Modeling and Mesh Simplification Ravi Ramamoorthi 1 Introduction This assignment is about triangle meshes as a tool for geometric modeling. As the complexity of models becomes
More informationRecognizing Deformable Shapes. Salvador Ruiz Correa UW Ph.D. Graduate Researcher at Children s Hospital
Recognizing Deformable Shapes Salvador Ruiz Correa UW Ph.D. Graduate Researcher at Children s Hospital Input 3-D Object Goal We are interested in developing algorithms for recognizing and classifying deformable
More informationHeight Fields and Contours Scalar Fields Volume Rendering Vector Fields [Angel Ch. 12] April 23, 2002 Frank Pfenning Carnegie Mellon University
15-462 Computer Graphics I Lecture 21 Visualization Height Fields and Contours Scalar Fields Volume Rendering Vector Fields [Angel Ch. 12] April 23, 2002 Frank Pfenning Carnegie Mellon University http://www.cs.cmu.edu/~fp/courses/graphics/
More informationCS 395T Numerical Optimization for Graphics and AI (3D Vision) Qixing Huang August 29 th 2018
CS 395T Numerical Optimization for Graphics and AI (3D Vision) Qixing Huang August 29 th 2018 3D Vision Understanding geometric relations between images and the 3D world between images Obtaining 3D information
More informationRecognizing Deformable Shapes. Salvador Ruiz Correa Ph.D. Thesis, Electrical Engineering
Recognizing Deformable Shapes Salvador Ruiz Correa Ph.D. Thesis, Electrical Engineering Basic Idea Generalize existing numeric surface representations for matching 3-D objects to the problem of identifying
More informationBrain Surface Conformal Spherical Mapping
Brain Surface Conformal Spherical Mapping Min Zhang Department of Industrial Engineering, Arizona State University mzhang33@asu.edu Abstract It is well known and proved that any genus zero surface can
More informationCSE 554 Lecture 7: Deformation II
CSE 554 Lecture 7: Deformation II Fall 2011 CSE554 Deformation II Slide 1 Review Rigid-body alignment Non-rigid deformation Intrinsic methods: deforming the boundary points An optimization problem Minimize
More informationGeometry Processing & Geometric Queries. Computer Graphics CMU /15-662
Geometry Processing & Geometric Queries Computer Graphics CMU 15-462/15-662 Last time: Meshes & Manifolds Mathematical description of geometry - simplifying assumption: manifold - for polygon meshes: fans,
More informationNormalShop: Modeling surface mesostructure
NormalShop: Modeling surface mesostructure Thiago Pereira Luiz Velho IMPA - Instituto de Matematica Pura e Aplicada Abstract Normals 1 have been used in geometry acquisition and rendering for years. However,
More informationComputer 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 informationRecognizing Deformable Shapes. Salvador Ruiz Correa (CSE/EE576 Computer Vision I)
Recognizing Deformable Shapes Salvador Ruiz Correa (CSE/EE576 Computer Vision I) Input 3-D Object Goal We are interested in developing algorithms for recognizing and classifying deformable object shapes
More informationGeometric Modeling and Processing
Geometric Modeling and Processing Tutorial of 3DIM&PVT 2011 (Hangzhou, China) May 16, 2011 6. Mesh Simplification Problems High resolution meshes becoming increasingly available 3D active scanners Computer
More informationTriangle meshes I. CS 4620 Lecture 2
Triangle meshes I CS 4620 Lecture 2 2014 Steve Marschner 1 spheres Andrzej Barabasz approximate sphere Rineau & Yvinec CGAL manual 2014 Steve Marschner 2 finite element analysis PATRIOT Engineering 2014
More informationCOMP30019 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 informationLecture 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 informationSu et al. Shape Descriptors - III
Su et al. Shape Descriptors - III Siddhartha Chaudhuri http://www.cse.iitb.ac.in/~cs749 Funkhouser; Feng, Liu, Gong Recap Global A shape descriptor is a set of numbers that describes a shape in a way that
More informationRegistration of Dynamic Range Images
Registration of Dynamic Range Images Tan-Chi Ho 1,2 Jung-Hong Chuang 1 Wen-Wei Lin 2 Song-Sun Lin 2 1 Department of Computer Science National Chiao-Tung University 2 Department of Applied Mathematics National
More informationCurves and Surfaces Computer Graphics I Lecture 10
15-462 Computer Graphics I Lecture 10 Curves and Surfaces Parametric Representations Cubic Polynomial Forms Hermite Curves Bezier Curves and Surfaces [Angel 10.1-10.6] September 30, 2003 Doug James Carnegie
More informationExample-Based Skeleton Extraction. Scott Schaefer Can Yuksel
Example-Based Skeleton Extraction Scott Schaefer Can Yuksel Example-Based Deformation Examples Previous Work Mesh-based Inverse Kinematics [Sumner et al. 2005], [Der et al. 2006] Example-based deformation
More informationpolygon meshes polygon meshes representation
polygon meshes computer graphics polygon meshes 2009 fabio pellacini 1 polygon meshes representation which representation is good? often triangles/quads only will work on triangles compact efficient for
More informationIBM Pietà 3D Scanning Project :
The IBM Pieta Project: A Historical Perspective Gabriel Taubin Brown University IBM Pietà 3D Scanning Project : 1998-2000 Shape Appearance http://www.research.ibm.com/pieta IBM Visual and Geometric Computing
More informationERC Expressive Seminar
ERC Expressive Seminar March 7th - 2013 Models and Intuitive Modeling Loïc Barthe VORTEX group IRIT Université de Toulouse Plan Context and introduction Intuitive modeling Modeling with meshes only Other
More informationShape Classification and Cell Movement in 3D Matrix Tutorial (Part I)
Shape Classification and Cell Movement in 3D Matrix Tutorial (Part I) Fred Park UCI icamp 2011 Outline 1. Motivation and Shape Definition 2. Shape Descriptors 3. Classification 4. Applications: Shape Matching,
More informationMultiresolution 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 informationTHE HALF-EDGE DATA STRUCTURE MODELING AND ANIMATION
THE HALF-EDGE DATA STRUCTURE MODELING AND ANIMATION Dan Englesson danen344@student.liu.se Sunday 12th April, 2011 Abstract In this lab assignment which was done in the course TNM079, Modeling and animation,
More informationA Developer s Survey of Polygonal Simplification algorithms. CS 563 Advanced Topics in Computer Graphics Fan Wu Mar. 31, 2005
A Developer s Survey of Polygonal Simplification algorithms CS 563 Advanced Topics in Computer Graphics Fan Wu Mar. 31, 2005 Some questions to ask Why simplification? What are my models like? What matters
More informationMotivation. towards more realism. + Texture Mapping Texture Mapping
Texture Mapping Wireframe Model + Lighting & Shading Motivation + Texture Mapping http://www.3drender.com/jbirn/productions.html towards more realism 2 Idea Add surface detail without raising geometric
More informationGraphics. Automatic Efficient to compute Smooth Low-distortion Defined for every point Aligns semantic features. Other disciplines
Goal: Find a map between surfaces Blended Intrinsic Maps Vladimir G. Kim Yaron Lipman Thomas Funkhouser Princeton University Goal: Find a map between surfaces Automatic Efficient to compute Smooth Low-distortion
More informationGenerating 3D Meshes from Range Data
Princeton University COS598B Lectures on 3D Modeling Generating 3D Meshes from Range Data Robert Kalnins Robert Osada Overview Range Images Optical Scanners Error sources and solutions Range Surfaces Mesh
More informationObject representation
Object representation Geri s Game Pixar 1997 Subdivision surfaces Polhemus 3d scan Over 700 controls 2 Computer Graphics Quick test #1 Describe the picture Graphical systems, visualization and multimedia
More informationDigital Geometry Processing
Digital Geometry Processing 1. Research Team Project Leader: Graduate Students: Industrial Partner(s): Prof. Mathieu Desbrun, Computer Science Sean Cahill, Maithili Dandige, Ilya Eckstein, Yiying Tong
More informationModeling. 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 informationImage-based modeling (IBM) and image-based rendering (IBR)
Image-based modeling (IBM) and image-based rendering (IBR) CS 248 - Introduction to Computer Graphics Autumn quarter, 2005 Slides for December 8 lecture The graphics pipeline modeling animation rendering
More informationCurves & 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 informationAPPROACH FOR MESH OPTIMIZATION AND 3D WEB VISUALIZATION
APPROACH FOR MESH OPTIMIZATION AND 3D WEB VISUALIZATION Pavel I. Hristov 1, Emiliyan G. Petkov 2 1 Pavel I. Hristov Faculty of Mathematics and Informatics, St. Cyril and St. Methodius University, Veliko
More informationCompu&ng Correspondences in Geometric Datasets. 4.2 Symmetry & Symmetriza/on
Compu&ng Correspondences in Geometric Datasets 4.2 Symmetry & Symmetriza/on Symmetry Invariance under a class of transformations Reflection Translation Rotation Reflection + Translation + global vs. partial
More informationRecognizing Deformable Shapes. Salvador Ruiz Correa Ph.D. UW EE
Recognizing Deformable Shapes Salvador Ruiz Correa Ph.D. UW EE Input 3-D Object Goal We are interested in developing algorithms for recognizing and classifying deformable object shapes from range data.
More information