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The tasks are simply executed in the topologically sorted order This is valuable for debugging, since multipatch problems can be tested and debugged on a single processor In most cases, if the multipatch problem passes the task graph analysis and executes correctly on a single processor, then it will execute correctly in parallel In a multiprocessor machine, the execution process is more complex There are a number of ways to utilize MPI functionality to overlap communication and computation In Uintah s current implementation, we process each task in a topologically sorted order For each task, the scheduler posts nonblocking receives (using MPI Irecv) for each of the data dependencies Subsequently, we call.

156 WHITE LIGHT INTERFERENCE OPTICAL PROFILERS White light interference (WLI) optical pro lers use broadband illumination and work like an array of optical focus sensors where the position of the interference signal at each sensor determines the best focus position The use of broadband illumination overcomes some of the limitations that are found in single and even multiplewavelength methods WLI methods have long established themselves as the leading optical pro lometers for measuring engineering surfaces like MEMS devices, binary optic, and machined surfaces The vertical resolution of WLI depends on the analysis of the signal and can be as good as single wavelength PSI methods (03 nm), but more commonly is around 3 nm Vertical resolution here is de ned as RMS of the difference measurement on smooth sample 1561.

Irreversible compression is done in the transform domain, and hence it is called transform coding. The procedure of transform coding is to rst transform the original image into the transform domain with a two-dimensional transformation for example, Fourier, Hadamard, Cosine, Karhunen Loeve, or wavelet. The transform coef cients are then quantized and encoded (see Fig. 6.1). The result is a highly compressed 1-D data le. The image can be compressed in blocks or in its entirety. In block compression, before image transformation, the entire image is subdivided into equal size blocks (e.g., 8 8), and the transformation is applied to each block. A statistical quantitation method is then used to encode the 8 8 transform coef cients of each block. The advantages of the block compression technique is that all blocks can be compressed in parallel, and it is faster to perform the computation in a small block than for an entire image. However, blocky artifacts can appear in the reconstructed image that in a medical image can compromise the diagnostic value of the image when compression ratios are high. Further image processing on the reconstructed image is sometimes necessary to smooth out such artifacts. The full-frame compression technique, on the other hand, transforms the entire image into the transform domain. Quantitation is applied to all transform coef cients of the entire transformed image. The full-frame technique is computationally tedious, expensive, and time-consuming. However, it does not produce blocky artifacts and hence is more suitable for medical image compression in terms of compressed image quality.

White Light Interference A white light source used in an interference optical pro ler has a broadband visible spectrum with wavelengths from about 380 up to 750 (violet to red) nanometers The source has low temporal coherence because of the large wavelength bandwidth, and it is not considered a point source, which means that it also has low spatial coherence The low temporal and spatial coherence of the source creates interference fringes that are localized in space In order to obtain fringes at best focus, the position of the reference mirror needs to be set also at the best focus of the objective.

! Rayleigh distribution Uniform distribution 0 > h > 2p (9)

Node_set_as_single_node If a node set is passed, the first node in document order is converted to a string; then the string is converted to a number. string A string that represents a number is converted to a number. If the string can t be interpreted as a number, then NotANumber will be returned. True is converted to 1 and false is converted to 0. An object of a type other than the basic type is converted in a way that is dependent on that type and not defined by XPath.

This is done in three steps: rst, the reference mirror is moved a few or tens of microns away from focus; second, the objective is focused on the object with some features like the edge of a sharp but not too tall step (fringes are not visible at this moment); and third, the reference mirror is brought to focus and stopped when best contrast fringes are obtained The reference mirror of the interference objective is set at the best focus of the objective in order to obtain the zero OPD Because low temporal coherence has a stronger in uence on fringe localization than low spatial coherence, temporal effects will be the focus of this discussion The different wavelengths from the source spectrum are mutually incoherent and the superposition of fringes for individual wavelengths creates white light fringes as shown in Figure 1529.