Efficient N-Dimensional surface estimation using Crofton formula and run-length encoding
Keyword(s):
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.
2003 ◽
Vol 125
(1)
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pp. 48-53
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1981 ◽
Vol 39
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pp. 28-29
1968 ◽
Vol 26
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pp. 354-355
1992 ◽
Vol 50
(1)
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pp. 450-451
1996 ◽
Vol 54
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pp. 724-725
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1986 ◽
Vol 6
(4)
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pp. 453-462
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1973 ◽
Vol 29
(02)
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pp. 363-374
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