Figure 3 shows samples and the evaluated minimum

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Unformatted text preview: are recognized as the critical regions. The Hessian of the density function provides information about the changes in the gradient of density. The Hessian for a center of the window, ej, is as follows: 2 f ( e j ) − f ( e j + 1 ) − f ( e j −1 ) j = 2 ,..., m − 1 (11) h2 New samples are captured from the regions that contribute in the maximum absolute Hessian value. If the maximum absolute Hessian is observed in region ej*, two possible conditions may occurs based on the Hessian sign for the region, ej*. Figures 1 and 2 illustrate the two possible conditions of ej*. When the sign of Hessian is positive (Figure 1), the validation sampling is conducted for the region ej* as the critical region f ′′( e j ) = Evaluation of Geometric Deviations in Sculptured Surfaces 141 and when it is negative, ej*+1 and ej*-1 are critical regions selected for the validation sampling (Figure 2). Figure 1; Probability density function with Figure 2; Probability density function with one critical region. two critical regions. 3.3. Iterative sampling Considering that a deviation v...
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This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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