Last update: July 14, 2002

BACK

3D Shape Representation based on Shocks - Transitions

Frederic F. Leymarie and Benjamin B. Kimia, Brown

Peter J. Giblin, Liverpool

A_1^4 Transition:

A_1^4 - Transition - Squeezed tube

A_1^4 Transition
(after Bogaevski)

Illustration

We illustrate this transition by squeezing the cross-sections of a tube, anisotropically along a pair of directions.

Input

We illustrate, in greater detail, the final stage of the transition. We run this expriment on a uniformly sampled dataset for such a squeezed tube.

Input

Complete set: 4920 pts.  

Recovered Surface

The "surface scaffold" (i.e., the less significant part of the shock scaffold) gives us back a meshing of the input data. Thus, we can re-build connectivity on the input samples automatically.

Recovered "Internal" Medial Axis description

Internal MA (3 views)

Recovered Medial Axis: Distance from generators (white dots) color coded (blue is near, red is far).

Same MA data shown as a transparent wire-mesh;

Another view. Note the separated A_1^4 transition points.

Last updated: July 14, 2002

F.F.Leymarie

BACK