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of boundaries between the regions, and may include the spatial proximity of regIOns Two approaches to judging the similarity of adjacent regions are: 1 Compare their mean intensities If the mean intensities do not differ by more than some predetermined value, the regions are considered similar and should be candidates for merging A modified form of this approach uses surface fitting to determine whether the regions may be approximated by one surface 2 Assume that the intensity values are drawn from a probability distribution Consider whether or not to merge adjacent regions based on the probability that they will have the same statistical distribution of intensity values This approach uses hypothesis testing to judge the similarity of adjacent regions and is discussed in more detail below Merging Statistically Similar Regions

Joint reinforcement consists of two to four longitudinal wires with cross wires that are welded to the longitudinal wires with or without fixed tabs or adjustable ties The cross wires may be perpendicular to the longitudinal wires (ladder type) or may be diagonal to those wires (truss type)

This approach considers statistical characteristics of two adjacent regions to decide whether or not they should be merged Assume that the regions in an image have constant gray value corrupted by statistically independent,

So if we could eliminate the reaming process, would our cycle time balance out better with the main line George had been pretty quiet up to this point, but he finally spoke up If we could drop the reaming process, we would be able to elim-

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Cameras which measure the distance to every scene point within the viewing angle and record it as a two-dimensional function are called range imaging systems, and the resulting images are called range images Range images are also known as depth maps A range image is shown in Figure 115 Two of the most commonly used principles for range imaging are triangulation and radar Structured lighting systems, which are used extensively in machine vision, make use of the principle of triangulation to compute depth Imaging radar systems use either acoustic or laser range finders to compute the depth map

Imaging using structured lighting refers to systems in which the scene is illuminated by a known geometrical pattern of light In a simple point projection system, a light projector and a camera are separated by a baseline distance b as shown in Figure 116 The object coordinates (x, y, z) are related to the measured image coordinates (x', y') and projection angle 0 by

Masonry joint reinforcement, which is governed by ASTM A 951 Standard Specification for Masonry Joint Reinforcement, is made in three primary forms: rigid ladder or truss type, fixed tab-type, and adjustable ties These forms are illustrated in Figures 35 through 38 Joint reinforcement consists of two to four longitudinal wires with cross wires that are welded to the longitudinal wires with or without fixed tabs or adjustable ties The cross wires may be perpendicular to the longitudinal wires (ladder type) or may be diagonal to those wires (truss type)

[x y z] =

The range resolution of such a triangulation system is determined by the accuracy with which the angle 0 and the horizontal position of the image point x' can be measured To compute the depth at all points, the scene is illuminated one point at a time in a two-dimensional grid pattern The depth at each point is then calculated using the above equation to obtain a two-dimensional range image Because of its sequential nature, this method is slow and is not suitable for use with dynamically changing scenes In a typical structured lighting system either planes of light or two-dimensional patterns of light are projected on the scene The projected pattern of light on the surfaces of the objects in the scene is imaged by a camera which is spatially displaced with respect to the source of illumination The observed image of the light patterns contain

j cot ~ -x ' [x' y' j]

(Dur-O-Wal, Inc, Aurora, IL)

(1110)

[26]

(Beall & Jaffe, Concrete and Masonry Databook, McGraw-Hill, 2003)

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