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Skeletonization

Core Skeleton

Since the core skeleton can be used to represent the topolgy of an object there are various algorithms, especially in medical image processing dedicated to computing the core skeleton of a shape.

Sliced Grid Skeleton

Sliced Space-Grid Skeleton

The sliced space-grid skeleton of a shape may be computed by creating cross sections of the shape with the x- and y-planes of a 3d grid, and interlocking the resulting slices, where the cross sections meet. Note that rectangular grids may be less stable than triangular ones, since they can be subject to the pantograph effect.

Sliced Body-Grid Skeleton

The sliced body-grid skeleton of a parametric body can be obtained by calculating iso-slices – i.e. slices where one parameter of the parametric function stays constant.

In case the shape is given as a parametric surface, each iso-slice will be encircled by an iso-curve, which results from keeping one parameter of the surface function constant.

The iso-slices should be spaced at constant intervals. They show the inner structure of the shape, which would be concealed by the surface.

Outer Sliced Grid Skeleton

Outer Sliced Space-Grid Skeleton

An outer skeleton can be generated by means of CSG using the boolean intersection of the outmost shape layer and the sliced grid skeleton.

Outer Sliced Body-Grid Skeleton

Parametric bodies often have a parameter that steadily increases the body thickness. (for example the parameter R for the globe) Larger values of this parameter give rise to bodies that completely enclose bodies generated by smaller parameter values. If this holds true in the interval of interest, we can create iso-onionrings or iso-ribs rather than iso-slices.

wiki/skeletonization.txt · Last modified: 2009/07/08 21:44 by magisterludi
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