GeodesicErosion

GeodesicErosion[marker,mask]

gives the fixed point of the geodesic erosion of the marker constrained by the mask.

Details and Options

  • GeodesicErosion works with binary, grayscale, and multichannel images, operating on each channel separately.
  • GeodesicErosion works with 3D as well as 2D images, and also with data arrays of any rank.
  • GeodesicErosion[marker,mask] effectively starts with marker then repeatedly erodes it, masking with mask until the result no longer changes. For symbolic data, the geodesic erosion is done only once.
  • GeodesicErosion[marker,mask,n] iterates the erosion process at most n times.
  • GeodesicErosion effectively performs a morphological reconstruction by dilation.
  • The following options can be given:
  • CornerNeighborsTruewhether to include corner neighbors
    PaddingNonepadding method to use
  • The default setting Padding->None considers smaller neighborhoods at the edges of an image.

Examples

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Basic Examples  (2)

Reconstruct the marked background objects:

Reconstruct the marked background objects in a 3D image:

Scope  (1)

Geodesic erosion of a vector:

Applications  (1)

Select the extended minimum that includes the specified point:

Properties & Relations  (1)

When computing geodesic erosion on symbolic arrays, only one iteration in performed:

Interactive Examples  (1)

Extract objects of varying sizes:

Introduced in 2008
 (7.0)
 |
Updated in 2010
 (8.0)
2012
 (9.0)