Object representations

Computer Graphics Object Representations Taher S.

Recap: Rendering Pipeline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Types of Objects ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Object Representation Methods ,[object Object],[object Object],[object Object],[object Object]

Types of Data Structures ,[object Object],[object Object],[object Object],[object Object],[object Object]

Binary Space Partition Trees (1979) ,[object Object],[object Object],[object Object],[object Object],[object Object]

Polygons: BSP Tree Construction ,[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],Discussion: BSP Tree Cons Ouch

Octrees ,[object Object],[object Object],[object Object],[object Object],www.gamasutra.com/features/19970801/octree.htm

Octrees ,[object Object],[object Object],[object Object],[object Object],[object Object]

Quadric Surfaces: ,[object Object],[object Object],[object Object],[object Object],[object Object]

Sphere: Cartesian form: Parametric Form:

Ellipsoid: Cartesian form: Parametric Form:

Torus: Clifford Torus Turning a punctured torus inside-out

As the distance to the axis of revolution decreases, the ring torus becomes a spindle torus and then degenerates into a sphere.

Cartesian form: Parametric Form: Red arrow : φ Blue arrow : θ

Hyperboloid: One -Sheet Two- Sheet

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