| 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 ?
|
| 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
|