3-D Segmentation Using a Number of Points

Around the Tumor

Segmentation steps:

  1. Take Input points
  2. Fit an elastic surface to the input points
  3. Search for tumor edges
  4. Fit a surface to edges

Step 1: Selection of input points around the tumor

Figure 1: Input points selected by the user along the coronal axis.

Input points can be scattered around the surface and can be taken in any direction.


Step 2: Surface is fitted to the input points

Figure 2: Three cross-sections of a RaG surface with sigma=3.0 and number of nodes=36 approximating the points in Figure 1.

A rational of Gaussian (RaG) surface is fitted to the input points to define the first estimate of the tumor boundary.


Step 3: Edge searching

Figure 3: Edge points resulting from the nearest-neighbor search.

For every point on the boundary from Figure 2, an edge will be assigned from the zero-crossings image. By the nearest-neighbor approach, the closest edge point will be selected. Figure 3 shows three cross-sections along with resulting edges after the search. In order to provide a closed tumor surface, an elastic surface will be fitted to the edge points.


Step 4: Surface fitting

Figure 4: Cross-sections of the final result obtained by fitting a RaG surface to the edge points in Figure 3.

Figure 4 shows three slices of the segmentation result after the RaG surface is fitted to the edge points.


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For more information contact: A. Goshtasby (ardeshir@cs.wright.edu).

Last modified: 8/21/97.