Scene Graphs & Modeling Transformations
Scene Graphs & Modeling Transformations
COS 426
3D Object Representations
? Points
Range image Point cloud
? Surfaces
Polygonal mesh Subdivision Parametric Implicit
? Solids
Voxels BSP tree CSG Sweep
? High-level structures
Scene graph Application specific
3D Object Representations
? What object representation is best for this?
3D Object Representations
? Desirable properties of an object representation
Easy to acquire Accurate Concise Intuitive editing Efficient editing Efficient display Efficient intersections Guaranteed validity Guaranteed smoothness etc.
(CS Building, Princeton University)
Overview
? Scene graphs
Geometry & attributes Transformations Bounding volumes
? Transformations
Basic 2D transformations Matrix representation Matrix composition 3D transformations
Scene Graphs
Building
Floor 1 Floor 2 Floor 3 Floor 4 Floor5
Floor Furniture
Office 1
Office N
Office Furniture
Instances
Bookshelf 1 Desk 1 Desk 2 Chair 1 Bookshelf Desk Chair
Chair K Definitions
Scene Graphs
? Hierarchy of nodes, where each node may have:
Geometry representation
Base
Modeling transformation
[M1]
Parents and/or children
Bounding volume
Upper Arm
[M2]
Lower Arm
[M3]
Robot Arm
Angel Figures 8.8 & 8.9
Scene Graphs
? Advantages
Allows definitions of objects in own coordinate systems Allows use of object definition multiple times in a scene
y
z x
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