Shape Representation Using a Volume Coverage Model

Geometric shapes can be represented in a variety of different ways. A distancemap is a map from points to distances. This can be used as a shape representationwhich can be created through a process known as a distance transform. This the-sis project tests a method for three-dimensional distance transforms using frac-tional volume coverage. This method produces distance maps with subvoxel dis-tance values. The result which is achieved is clearly better than what would beexpected from a binary distance transform and similar to the one known fromprevious work. The resulting code has been published under a free and opensource software license.The developed code is available under a GPL license here https://gitlab.com/Emiluren/3d-distance-transform