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nation, either for pre-construction evaluation of materials or for quality control purposes during construction Mortars are batched conventionally and flow is not prescribed Prisms are constructed conventionally, without a jig, and are bag-cured A test set consists of any convenient number of prisms containing a total of at least 15 mortar joints The number of prisms should be limited to the number that can be constructed within 30 minutes When performing field tests for quality control, one set of test prisms should be constructed for each 5000 square feet of masonry in the structure Reported results include individual bond strength for each joint of the test specimens, the mean, the standard deviation, and the test age for each set of test specimens Many criteria are available for evaluating test results Examples include requiring the minimum value to be not less than some target value or requiring the average value to be not less than a target value However, these simple criteria are insensitive to the scatter of the test results Because test results with smaller scatter are more reliable, the effect of scatter should be considered The Appendix to ASTM C 1357 suggests two possible criteria for evaluating the results obtained The criteria are illustrative only and are not mandatory The first suggested criterion compares the lower 10% characteristic value (10% fractile) with a minimum target value This approach is appropriate when so many joints are tested (at least 30) that the sample closely approximates the entire population of joints The second suggested criterion is more complex than the characteristic value approach The objective of this approach is to establish a 90% probability (confidence) that 90% of the masonry in the entire population will have flexural bond strength that equals or exceeds the target value This statistical technique is referred to as a one-side tolerance limit This approach is appropriate when relatively few joints are tested and thus the sample may not closely approximate the entire population of joints It is also appropriate when the scatter of test results is small.

(35)

11

+m2(go_I'0)2 ' 2"02

"':"1 L,t-1

not otherwise permitted or other imperfections when viewed from a distance of not less than 20 feet under diffused lighting Specialty concrete block units must also meet the applicable ASTM standard for physical properties and tolerances Examples of specialty block units, shown in Figure 15, are architectural blocks with special shaped exposed faces and structural blocks that accommodate placement of horizontal reinforcing bars

(36) (37)

_(ml+m2) 2

Under the hypothesis HI, ml pixels belong to region 1 with a distribution N(JL1, "1)and m2 pixels belong to region 2 with a distribution N(JL2,O"i) 0 Under this hypothesis, the joint density function is given by

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Concrete and calcium silicate (sand-lime) masonry units may be covered at the point of manufacture with a smooth resinous facing The facing may be resin, resin and inert filler, or cement and inert filler The units are manufactured so that the surfaces that will be exposed to view in the final construction are the prefaced surfaces

(38)

The likelihood ratio, L, is then defined as the ratio of the probability densities under the two hypotheses L = p(gl,g2,1 HI) p(g1, g2, I Ho)

ASTM C 744 Standard Specification for Prefaced Concrete and Calcium Silicate Masonry Units governs the manufacture of the facing only; properties of the concrete masonry unit body are regulated by specifying the relevant ASTM standard for the unit The facing standard defines required properties and characteristics of the facing It also lists the various chemicals to which the facing should be resistant for the time period specified, as shown in Table 120 Manufacturing tolerances for size, distortion, cracking, and chippage are more stringent than those specified in the ASTM standards for the concrete units themselves For example, the total variation from specified dimension of the facing must not exceed 1 16 inch, while the total variation from the specified dimension of the underlying concrete unit can be 1 8 inch The appearance of the coating surface when placed in the wall is also more critical That surface must be free of chips, crazes, cracks, blisters, crawling, holes, and other imperfections that detract from the appearance of the units when viewed from a distance of 5 feet perpendicular to the coated surface and using daylight without direct sunlight

(39)

(310)

The values of the parameters 0"0,0"1,and 0"2in the above equation are estimated from Eqs 32 and 33 using all the (ml + m2) pixels, ml pixels from region 1 and m2 pixels from region 2, respectively If the likelihood ratio L is below a threshold value, there is strong evidence for the likelihood that there is only one region and the two regions may be merged This approach may also be used for edge detection Since the likelihood ratio indicates when two regions should be considered to be separate, it indicates when there should be a boundary between the two regions For edge detection, the likelihood ratio between neighborhoods on either side of a point may be used to detect the presence of edges There are other possible modifications to this ratio which can play an important role in many applications The likelihood ratio was derived under the assumption that a region contains constant gray values which, due to noise, have a normal distribution It is possible to assume that the underlying intensity distribution is not constant but rather planar or quadratic The likelihood ratio in these cases may be derived and used in a similar way

Concrete paving units are governed by one of two ASTM standards: ASTM C 936 Standard Specification for Solid Concrete Interlocking Paving Units

.

Another approach to merging is to combine two regions if the boundary between them is weak This approach attempts to remove weak edges between adjacent regions by considering not only the intensity characteristics, but also the length of the common boundary The common boundary is dissolved if

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