Morphological operator

The cell size distribution is very easy to get if the cells are perfectly closed. If the closed cells are connected, the cell size distribution can be determined according to two methods (Maire et al., 2003). The first possibility is to try to close the cells within the digital image using morphological operations such as erosion/dilation. When this activity is done successfully, it is possible to extract some morphological 3D parameters of cells such as volume, surface, aspect ratio, and sphericity. The cell size distribution can be easily obtained... 

For a porous medium represented by the phase function /g(r), we define the covering radius rc(r) of the solid phase as the radius of the largest sphere (or disk in 2D porous media) placed entirely into the solid phase and covering the point with coordinates r. The value of rc is zero inside the pores. The covering radius rc can be found by the morphological operation called opening, i.e., the erosion followed by the dilatation. The dilatation of the solid-phase domain A by the spherical element Br with radius r is the set A B, covered by all translations of Br centered in A,... 

The structure of the porous media can also be shaped by mechanical and electrostatic forces, e.g., sheeting of granules at conveyor walls (Yao et al., 2004), deposition of solid grains in the porous media, and fragmentation of catalyst carriers. Simple examples of mechanical diagenesis of porous media were already illustrated in Section II.D.4. In this section, we first describe the morphological operation of skeletonization and the methods used for the... 

None of the factors that affect particle morphology operate alone. In particular, the mode of monomer addition is an interacting factor. This is illustrated by procedures used to produce core-and-shcll polymers for use in architectural paints [26]. Polymers used for this purpose are primarily copolymers of butyl acrylate with either vinyl acetate or methyl methacrylate. The goal here was to make particles with conventional film-forming polymer shells and cores comprised of less expensive monomers than were used in the shells. In practice, this could mean poly(vinyl acetate) cores inside vinyl acetate/butyl acrylate shells or the same or poly(methyl... 

In this study, 3-D evaluation of data obtained from sub-pm-CT measurements was performed for characterizing industrially produced MDF the main focus of this investigation was to achieve a high resolution. For such evaluation, morphological operations were used in order to determine the proportion and the distribution of the sum of inter- and intra-particle pores on the one side and of fiber cell wall material on the other side in the panel. Additionally, it is of great interest to see if and how different sub-volume sizes influence the resulting pore and cell wall material size distribution and which sub-volume size is representative for the whole board. Finally, the correlations between pore size and cell wall material size proportion and the local density at a certain position in the cross-section were investigated. 

Application of the morphological operators removes very small connected regions including any holes in the white connected regions as shown in Fig. 10.2. 

The basic morphological operations are performed in a similar way to linear convolutions. Simple convolution operations (such as Sobel edge detection) take an input image and run a mask or kernel over every pixel in turn, at each point calculating a new pixel value, which is placed into an output image. 

Morphological operations are not limited to the four already described there... 

The objects selection can also be obtained by following different methods. An alternative solution is the exploitaticMis of the morphological operators (SoUle 2003). It is accomplished by applying the closing and the opening filters, with different size, to extract additional features from panchromatic band of VHR pre-seismic... 

Extract an Irregular Structure of an Echinocytes Using Morphological Operations... 

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