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After two 3-D image sets have been properly registered, the next step is to overlay the two sets and display the result, a process called image fusion. The basic principle is to overlay the secondary 3-D set using a lookup table (LUT) on the secondary 3-D set to highlight speci c features on the primary 3-D set obtained from its own LUT. Effective look-up table (LUT) pairs have the primary set in gray scale and the secondary in color. Both LUTs need to use a customized graphical user interface (GUI; see 12) to manually adjust the overlaid display by optimizing its effectiveness for the speci c application. This customized LUT set can then be used as the default for future display of the same application. In clinical applications, for example, PET-CT fusion is used to map the physiological parameters from PET onto the detailed anatomy CT. In the radiation therapy treatment plan for the prostate gland, to prevent overdosing critical organs, the MRI of the prostate, which has higher soft tissue de nition that allows for a precise maximum dose to be delivered to the target organ, is fused onto the CT, which shows the overall anatomical details. This is a case of image fusion of local anatomy with a high-density resolution (MRI) onto a global anatomy with high spatial resolution (CT). Another radiation therapy application is the overlay of dose distribution onto the anatomy shown on a CT in accord with a treatment plan. These examples will be revisited in more detail in the following sections. 5.1.5 Display of 4-D Medical Images and Fusion Images

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progress through this chapter, that some of the same examples are used. For now, it s important to know only that there are many types of expressions and that not all are interchangeable you cannot put any type of expression into all parts of SQL statements that require expressions.

(4.101)

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structure are topological entities, geometric classi cation, and adjacencies between entities Topology provides an unambiguous, shape-independent abstraction of the mesh With reasonable restrictions on the topology [4], a mesh can be effectively represented with only the basic 0- to d-dimensional topological entities, where d is the dimension of the domain of interest The full set of mesh entities in 3D is {{M{M 0 }}, {M{M 1 }}, {M{M 2 }}, {M{M 3 }}}, where {M{Mid }}, d = 0, 1, 2, 3, are, respectively, the set of vertices, edges, faces, and regions Mesh edges, faces, and regions are bounded by the lower order mesh entities Geometric classi cation de nes the relation of a mesh to a geometric model.

where y is the angle the moire fringes make with the y axis. After rearranging, the fringe orientation angle y is given by l1 l2 tan y tan a 16:12 l2 l1 When a 0 and l1 6 l2 , y 0 , and when l1 l2 with a 6 0, y 90 as expected. The fringe spacing perpendicular to the fringe lines can be found by equating quantities for the distance DE, DE l1 C sin 2a sin y a 16:13

GetReal RetVal = GetReal (Prompt) RetVal = GetString (HasSpaces, Prompt) Gets any real (positive or negative) number. The prompt is optional. Example: getaReal = ThisDrawing.Utility.

The unique association of a mesh entity of dimension di , Midi , to the geometric model entity of dimension dj , Gj j , where di dj , on which it lies is termed as geometric classi cation and is denoted Midi Gj j , where the classi cation symbol, , indicates that the left-hand entity, or a set of entities, is classi ed on the right-hand entity Adjacencies describe how mesh entities connect to each other For an entity of dimension d, adjacency, denoted by {Mid {M q }}, returns all the mesh entities of dimension q, which are on the closure of the entity for a downward adjacency (d > q), or for which the entity is part of the closure for an upward adjacency (d < q).

ce-K = 12 keV; ce-L = 35 eV 0.796 MeV 166.8 keV 26 c/m (a) Extrapolated range ~760 mg/cm2; (b) ~1.7 MeV; (c) 1.68 MeV

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