Nov. 2000

3D Medial Axis

Sub-voxel tracing : Face

Sub-voxel tracing : Pots

Sub-voxel tracing: Aorta

Sub-voxel tracing: Male body

Scaffold : Parallelepiped

Scaffold : Cylinder

Sub-voxel tracing : Face

Gaile's face was scanned a few years ago using a laser scanner. I first extracted the frontal part of her face from the original cloud of datapoints by simple clipping. Then I processed this cloud of point - shown as yellow dots below - using my sub-voxel tracing of medial sheets - shown as white dots - combined with my 3D wavefront propagation algorithm. There are 12623 points in this datasets (input to the wavefront algorithm). It takes a few minutes to run on my workstation (SGI Indigo2), over the local network.

Views at face data with associated grey level intensity. Note the holes in the data.

Animation

Medial Sheets : Internal symmetries

Original cloud of datapoints as yellow dots; computed symmetry sheets sub-voxel traces as white dots.

Animation

Medial Sheets : External symmetries

Original cloud of datapoints as yellow dots; computed symmetry sheets sub-voxel traces as white dots.

Animation

Sub-voxel tracing : Pots

Shaded view of laser scan of a full pot on left, view at medial axis traces on right. Note the **hole** at bottom.

Animation.

Pot sherd and two views at its medial axis traces.

Sub-voxel tracing: Aorta

Aorta and its medial axis trace: four vessels branching out at bottom.

Sub-voxel tracing: Human male body

Animation

Scaffold : Parallelepiped

Input samples on the surface of a parallelepiped.

Resulting scaffold with nodes (A_1^3 and A_1^4).

Scaffold with links only.

Animation: Scaffold of a parallelepiped sampled: 3x - 4y - 5z

Scaffold : Cylinder

Animation: White spheres: input points; Green spheres: A_1^3-2 shocks; Red spheres: A_1^4 shocks

Last Updated: Nov. 16, 2000