Dec. 1999

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Mathematical Morphology
and
Wave Propagation

Molecular-like Surface Meshing from Unorganized 3D data

Face data captured by a real-time stereo system: one view showed - 3D data rotated to display the "noisy" structure.

We propose molecular meshing as a fast way to retrieve surface meshes from unorganized 3D data at various scales (molecular ball sizes). Molecular meshing refers to a two step process:

  1. Mathematical morphology filtering.
  2. Surface meshing.

In the particular application illustrated here, where we aim at real-time processing of large 3D data-sets obtained from a multiple-view stereo system, we are using continuous 3D Euclidean dilations for step 1, followed by a Marching cube pass at step 2. Many refinements are possible, and will be explored in the near future.

Results of Molecular meshing for time/distance (from top-left): 1.2, 3.4, 5.2, 8.1 .

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Last Updated: Dec. 22, 1999