Package com.openinventor.imageviz.engines.mathematicalmorphology.distancemaps

Geodesy Principle

See: Description

Class Summary

Class	Description
SoChamferDistanceMapProcessing2d	SoChamferDistanceMapProcessing2d engine The SoChamferDistanceMapProcessing2d engine computes the chamfer distance transformation.
SoChamferDistanceMapProcessing3d	SoChamferDistanceMapProcessing3d engine The SoChamferDistanceMapProcessing3d engine computes a 3D chamfer distance transformation.
SoChessboardDistanceMapProcessing	SoChessboardDistanceMapProcessing engine The SoChessboardDistanceMapProcessing engine computes the chessboard distance transformation.
SoClosestBoundaryPointsProcessing2d	SoClosestBoundaryPointsProcessing2d engine The SoClosestBoundaryPointsProcessing2d engine computes the chamfer distance map on object boundary and the closest point.
SoClosestBoundaryPointsProcessing3d	SoClosestBoundaryPointsProcessing3d engine The SoClosestBoundaryPointsProcessing3d engine computes the chamfer distance map on object boundary and the closest point.
SoEuclideanDistanceMapProcessing3d	SoEuclideanDistanceMapProcessing3d image filter This algorithm computes a 3D distance map for a 3D object.
SoGeodesicDistanceMapProcessing	SoGeodesicDistanceMapProcessing engine The SoGeodesicDistanceMapProcessing engine computes the Chamfer distance using a mask of forbidden areas.
SoGeodesicPropagationProcessing2d	SoGeodesicPropagationProcessing2d engine For an introduction to geodesy, see section Geodesy Principle.
SoLocalThicknessMapProcessing3d	SoLocalThicknessMapProcessing3d engine This algorithm computes an inside 3D euclidean map of a 3D object.
SoTimeMapProcessing	SoTimeMapProcessing engine The SoTimeMapProcessing engine computes the shortest travel time between one point of the output image and the binary mask.

Enum Summary

Enum	Description
SoEuclideanDistanceMapProcessing3d.BorderConditions	This enumeration defines the border condition.
SoEuclideanDistanceMapProcessing3d.MappingModes	This enumeration defines all regions in which the distance map is computed.
SoLocalThicknessMapProcessing3d.PrecisionModes

Package com.openinventor.imageviz.engines.mathematicalmorphology.distancemaps Description

Geodesy Principle

Geodesy is by definition the science of measuring the shape of the earth. When applied to image processing it is the science of measuring the exact shape of objects included in an image. The geodesic distance is defined as follows:

If two points and belong to then is the shortest distance between the two points with the condition that the entire path between the points is included in the particle . If one of the points is outside then . If the points belong to 2 disjointed components, then

This geodesic distance is actually a distance for any set without any hole. A geodesic disk, , is then defined, as shown in figure below.

The geodesic notion implies that each particle is fully independent of its neighbours in the image. Moreover, one may introduce the geodesic erosion and dilation. The geodesic dilation is equivalent to a reconstruction in the continuous space. One can show that a discrete geodesic dilation of size is actually dilations of size 1, each dilation being followed by an intersection with the set . In this case, the underlying discrete distance is defined by the elementary discrete disk (a square or hexagon depending on the grid). The propagation function is then defined as:

It corresponds to the geodesic distance between point and the furthest point of .