Efficient N-Dimensional surface estimation using Crofton formula and run-length encoding
2012
Lehmann, Gaëtan | Legland, David
Unlike the measure of the area in 2D or of the volume in 3D, the perimeter and the surface are not easily measurable in a discretized image.In this article we describe a method based on the Crofton formula to measure those two parameters in a discritized image. The accuracy of the method is discussed and tested on several known objects. An algorithm based on the run-length encoding of binary objects is presented and compared to other approaches.An implementation is provided and integrated in the LabelObject/LabelMap framework contributed earlier by the authors.
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