Geometric Modeling Spring, 2013
Overview Lectures Readings Assignments Schedule

2013/02/25 Introduction [PDF]
  • Why Modeling?
  • What are the applications?
  • What we will face?
  • What we will cover (in this course)?
3D Object Representations [PDF]
  • What are 3D objects?
  • The Graphics Process
  • 3D Object Representations
  • Procedural Modeling
2013/03/04 Parametric Curves and Surfaces [PDF]
  • Mathematical Curve Representation
  • Parametric Cubic Curves
  • Parametric Bi-Cubic Surfaces
How to Program ?
  • -- by TA
2013/03/11 Subdivision Surfaces [PDF] and Smoothing
  • What is Subdivision ?
  • Subdivision in 1D & 2D
  • Classification of Subdivision Schemes
  • Doo-Sabin Surfaces
  • Catmull-Clark Surfaces
  • Loop's Scheme
  • Butterfly Scheme
READING: Denis Zorin. Subdivision zoo. Subdivision for Modeling and Animation (ACM SIGGRAPH 2000 Conference Course Notes #23), p.65 - p.102, 2000.
Gabriel Taubin. Geometric signal processing on polygonal meshes. Eurographics 2000 State of the Art Report, 2000.
2013/03/18 Definitions and Data Structures of Meshes [PDF]
  • Graph
  • Mesh
  • Properties of Meshes
  • Triangle Meshes
  • Mesh Data Structures
2013/04/01 Mesh Simplification [PDF][NOTE]
  • Motivation
  • Basic Idea of LOD
  • Discrete LOD
  • Continuous LOD
  • Simplification Problem Characteristics
  • Methodology Overview
  • Simplification Algorithms
  • The Vertex Tree
READING: Michael Garland. Multiresolution modeling: survey & future opportunities. Eurographics 1999 State of the Art Report, 1999.
2013/04/22 (Consistent) Surface Parameterization [PDF][NOTE]
  • Introduction
  • Applications
  • What is Parameterization?
  • Parameterization Methods
READING: Michael S. Floater and Kai Hormann. Surface parameterization: a tutorial and survey. Advances in Multiresolution for Geometric Modelling, p.157 - p.186, 2005.
2013/05/13 Mesh Compression [PDF][NOTE]
  • Motivation
  • Single-Rate Compression
  • Valence Compression
  • Geometry Compression
  • Progressive Compression
2013/05/20 Solid Modeling and Reconstruction [PDF]
  • Regularized Boolean Set Operations
  • Boundary Representations
  • Spatial-Partitioning Representations
  • Implicit Surfaces
  • Constructive Solid Geometry
2013/05/27 Mesh Segmentation and Metamorphosis of Meshes [PDF][NOTE]
  • What is Metamorphosis?
  • Spherical Embedding
  • Base Mesh
  • Blending
  • 3D Metamorphosis Category
READING: Marc Alexa. Recent advances in mesh morphing. Computer Graphics Forum, Vol.21, No.2, p.173 - p.196, 2002.
2013/06/03 Mesh Editing and Animation [PDF]
  • Free-Form Deformation
  • Multi-resolution Editing
  • Decomposition
  • Hierarchical Modeling

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