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regular grid (b) Texture in (a) corrupted by random streaks of lines corrupted by noise resulting in random streaks of lines as shown in Figure 73(b), morphological techniques (see 2) can be used to locate all discs For gray-scale images we can define a predicate which is satisfied by all pixels within each blob corresponding to a primitive A commonly used predicate is the gray-level homogeneity predicate The image is initially processed using a Laplacian of Gaussian filter (see 5) Primitive regions are then identified by grouping all those pixels which are not on or near edge pixels For homogeneous blobs properties such as size, elongation, and orientation are useful features Measures based on co-occurrence of these primitives obtained by analyzing their spatial relationship are then used to characterize the texture

TABLE 24 Type N S* NA SA *

An approach to characterize texture is to determine an analytical model of the textured image being analyzed Such models have a set of parameters

The values of these parameters determine the properties of the texture, which may be synthesized by applying the model The challenge in texture analysis is to estimate these model parameters so that the synthesized texture is visually similar to the texture being analyzed Markov random fields (MRFs) have been studied extensively as a model for texture In the discrete Gauss-Markov random field model, the gray level at any pixel is modeled as a linear combination of gray levels of its neighbors plus an additive noise term as given by the following equation:

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ASTM C 207 Hydrated Lime Types Definition normal hydrated lime for masonry purposes special hydrated lime for masonry purposes normal air-entraining hydrated lime for masonry purposes special air-entraining hydrated lime for masonry purposes

f[i, j] =

L f[i [k,l]

k,j - I] h[k,I]+ n[i,j]

* Type S and Type SA hydrated limes are differentiated from Type N and Type NA hydrated limes principally by their ability to develop high, early plasticity and higher water retentivity, and by a limitation on their unhydrated oxide content (Extracted, with permission, from ASTM C 207 Standard Specification for Hydrated Lime for Masonry Purposes, copyright ASTM International, 100 Barr Harbor Drive, West Conshohocken, PA 19428 A copy of the complete standard may be obtained from ASTM, phone: 610-832-9585, email: service@astmorg, website: wwwastmorg)

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Here the summation is carried out over a specified set of pixels which are neighbors to the pixel [i,j] The parameters of this model are the weights h[k, I] These parameters are computed from the given texture image using least-squares method These estimated parameters are then compared with those of the known texture classes to determine the class of the particular texture being analyzed When patterns forming texture have the property of self-similarity at different scales, fractal-based models may be used A set is said to have the property of self-similarity if it can be decomposed as a nonoverlapping union of N copies of itself scaled down by a factor r Such a texture is characterized by its fractal dimension D, given by the equation D

The managers asked several questions and Michelle eventually told them that it would probably be easier to go out and physically review the changes The difference was like night and day Everything was clean and well organized The excess inventory was identified as waste Excess walking and material moving had been eliminated from the process Work in process flowed in a single-piece manner, which provided the employees with the opportunity to shut down the line when they observed a problem or had a concern about product quality

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The required flexural strength values in ASTM C 1329 for mortar cement are derived from testing that was performed on mortars made with portland cement and lime That is, Type N portland cement-lime mortar was established as being able to achieve 70 psi flexural tensile strength, so Type N mortar cement is required to meet the same level of flexural tensile strength The values for Type S mortar cement and Type M mortar cement have the same basis Mortars made with masonry cement and those made with airentrained portland cement-lime generally do not achieve the same flexural strength as the equivalent types of mortar cement mortar or non-air-entrained portland cement-lime mortar Building codes reduce the allowable flexural strength values of masonry built with masonry cement or air-entrained portland cement-lime mortar to 50 to 60 percent of the values given for masonry constructed with mortar cement mortar or non-airentrained portland cement-lime mortar

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