Overview of 3d object representation
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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

Overview of 3D Object Representation


3d object representation surfaces vs solids

3D Object Representation: Surfaces vs. Solids


Surfaces mesh

Surfaces – Mesh

  • Group of connected polygons (usually triangles)

    • May not be closed


Surfaces subdivision surface

Surfaces – Subdivision Surface

  • Coarse mesh & subdivision rule

    • Define smooth surface as limit of sequence of refinements

Zorin & Schroeder

SIGGRAPH99 course notes


Surfaces parametric surface

Surfaces – Parametric Surface

  • Tensor product spline patches

    • Careful constraints to maintain continuity

FvDFH Figure 11.44


Surfaces implicit surface

Surfaces – Implicit Surface

  • Points satisfying F(x,y,z) = 0

Bill Lorensen SIGGRAPH 99 Course #4 Notes


Solids voxels

Solids – Voxels

  • Uniform grid of volumetric samples

    • Acquired from CAT, MRI etc.


Solids bsp tree

Solids – BSP Tree

  • Binary space partition with solid cells labelled

    • Constructed from polygonal representations


Solids csg

Solids – CSG

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


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