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Overview of 3D Object Representation

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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  1. Overview of 3D Object Representation

  2. 3D Object Representation: Surfaces vs. Solids

  3. Surfaces – Mesh • Group of connected polygons (usually triangles) • May not be closed

  4. Surfaces – Subdivision Surface • Coarse mesh & subdivision rule • Define smooth surface as limit of sequence of refinements Zorin & Schroeder SIGGRAPH99 course notes

  5. Surfaces – Parametric Surface • Tensor product spline patches • Careful constraints to maintain continuity FvDFH Figure 11.44

  6. Surfaces – Implicit Surface • Points satisfying F(x,y,z) = 0 Bill Lorensen SIGGRAPH 99 Course #4 Notes

  7. Solids – Voxels • Uniform grid of volumetric samples • Acquired from CAT, MRI etc.

  8. Solids – BSP Tree • Binary space partition with solid cells labelled • Constructed from polygonal representations

  9. Solids – CSG • Hierarchy of boolean set operations (union, difference, intersect) applied to simple shapes

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