# Overview of 3D Object Representation - PowerPoint PPT Presentation

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Overview of 3D Object Representation. 3D Object Representation: Surfaces vs. Solids. Surfaces – Mesh. Group of connected polygons (usually triangles) May not be closed. Surfaces – Subdivision Surface. Coarse mesh & subdivision rule Define smooth surface as limit of sequence of refinements.

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Overview of 3D Object Representation

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## Overview of 3D Object Representation

### Surfaces – Mesh

• Group of connected polygons (usually triangles)

• May not be closed

### Surfaces – Subdivision Surface

• Coarse mesh & subdivision rule

• Define smooth surface as limit of sequence of refinements

Zorin & Schroeder

SIGGRAPH99 course notes

### Surfaces – Parametric Surface

• Tensor product spline patches

• Careful constraints to maintain continuity

FvDFH Figure 11.44

### Surfaces – Implicit Surface

• Points satisfying F(x,y,z) = 0

Bill Lorensen SIGGRAPH 99 Course #4 Notes

### Solids – Voxels

• Uniform grid of volumetric samples

• Acquired from CAT, MRI etc.

### Solids – BSP Tree

• Binary space partition with solid cells labelled

• Constructed from polygonal representations

### Solids – CSG

• Hierarchy of boolean set operations (union, difference, intersect) applied to simple shapes