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<p><b>Abstract</b>—This paper presents a coarse-grain approach for segmentation of objects with gray levels appearing in volume data. The input data is on a 3D structured grid of vertices <tmath>$v(i,j,k) $</tmath>, each associated with a scalar value. In this paper, we consider a voxel as a <tmath>$\kappa\times\kappa\times \kappa$</tmath> cube and each voxel is assigned two values: expectancy and standard deviation (E-SD). We use the Weibull noise index to estimate the noise in a voxel and to obtain more precise E-SD values for each voxel. We plot the frequency of voxels which have the same E-SD, then 3D segmentation based on the Weibull E-SD field is presented. Our test bed includes synthetic data as well as real volume data from a confocal laser scanning microscope (CLSM). Analysis of these data all show distinct and defining regions in their E-SD fields. Under the guide of the E-SD field, we can efficiently segment the objects embedded in real and simulated 3D data.</p>
3D segmentation, Weibull E-SD field, noise index, confocal laser scanning microscope, CLSM.

G. M. Nielson, A. Razdan, J. Hu, D. G. Capco, G. E. Farin and D. P. Baluch, "Volumetric Segmentation Using Weibull E-SD Fields," in IEEE Transactions on Visualization & Computer Graphics, vol. 9, no. , pp. 320-328, 2003.
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