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of Conducting Strength Tests of Panels for Building Construction should be used for that purpose Two test methods are provided in ASTM E 518 Test Method A utilizes a simply supported beam with third-point loading, and Test Method B utilizes a simple supported beam with uniform loading applied by an air bag A test set consists of a minimum of five test specimens constructed as stack bond prisms at least 18 inches high Masonry units and mortar representative of the construction are used to fabricate the specimens A jig is used to maintain alignment of the prism and units are laid in the mortar bedding (full or face shell) that is specified for the project Prisms are cured for 28 days under laboratory conditions (75 plus or minus 15 degrees F and 30 to 70 percent relative humidity) When the testing is performed for quality control, the prisms should be cured in conditions similar to those in the masonry structure Prisms are laid horizontally on supports as a simply supported beam Loading is then applied at a uniform rate Test results are reported as the individual and average modulus of rupture (to the nearest psi), based either on gross area for solid masonry units or on net bedded area for hollow units The standard deviation and the coefficient of variation are also reported

2: Wi(t i + Ci 8b + d i 8w ,

.

(1272)

ASTM E 514 Standard Test Method for Water Penetration and Leakage Through Masonry is used to evaluate resistance to water penetration and leakage through unit masonry assemblages that are subject to wind-driven rain It can aid in evaluating the effect of quality of materials, coatings, wall design, and workmanship This test method is primarily used to establish

subject to the constraint that 8b b = O The constraint can be added onto the minimization problem using the Lagrange multiplier ,,\ to get a system of linear equations for the baseline and rotation increments and the Lagrange multiplier:

(1273)

(1274) (1275) (1276) (1277)

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Water permeance is closely related to extent of mortar-to-unit bond (as opposed to bond strength), since most water penetrates the masonry assembly at the joints, where mortar and units interface Compatible materials, good workmanship, and appropriate precautions during weather extremes lead to optimal extent of bond

(1278)

Once we have the corrections to the baseline and rotation, we have to apply the corrections in a way that preserves the constraints that the baseline is a unit vector and the rotation is represented correctly For example, if rotation is represented as an orthonormal matrix, the corrected matrix must be orthonormal It is difficult to update a rotation matrix without violating orthonormality, so the rotation will be represented as a unit quaternion The baseline is updated using the formula (1279)

The updated baseline should be explicitly normalized to guarantee that numerical errors do not lead to violation of the unit vector constraint The infinitesimal rotation can be represented by the unit quaternion

comparative behavior between various masonry wall constructions in a given laboratory The testing apparatus used in the ASTM E 514 procedure, shown in Figure 44, is a chamber that encloses a minimum of 12 square feet The perimeter of the chamber, which is placed in contact with the masonry specimen, is lined with a closed cell compressible gasket material that can provide a water-tight seal The face of the chamber includes an observation port Water is supplied to the chamber from the top and into a spray pipe that has a single line of

(1280)

This formula guarantees that the quaternion will be a unit quaternion even if the rotation is large If r is the quaternion representing the rotation, then the updated rotation is the quaternion r' given by r' = qrq*, (1281)

(Extracted, with permission, from ASTM E 514 Standard Test Method for Water Penetration and Leakage Through Masonry, 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)

where multiplication is performed according to the rules for multiplying quaternions (Section 1223), and q* is the conjugate of quaternion q

Rectification is the process of resampling stereo images so that the epipolar lines correspond to image rows The basic idea is simple: if the left and right image planes are coplanar and the horizontal axes are colinear (no rotation about the optical axes), then the image rows are epipolar lines and stereo correspondences can be found by searching for matches along corresponding rows In practice, this condition can be difficult to achieve and some vergence (inward rotation about the vertical camera axes) may be desirable, but if the pixels in the left and right images are projected onto a common plane, then

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