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 BiCubic Surfaces
How to Program ?

2013/03/11 
Subdivision Surfaces [PDF] and Smoothing
 What is Subdivision ?
 Subdivision in 1D & 2D
 Classification of Subdivision Schemes
 DooSabin Surfaces
 CatmullClark 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
 SingleRate Compression
 Valence Compression
 Geometry Compression
 Progressive Compression

2013/05/20 
Solid Modeling and Reconstruction [PDF]
 Regularized Boolean Set Operations
 Boundary Representations
 SpatialPartitioning 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]
 FreeForm Deformation
 Multiresolution Editing
 Decomposition
 Hierarchical Modeling
