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These act slightly different from a mask and may in some cases be an easier alternative to what would be a complex mask Masking Every display object may be masked by another object The best way to understand this is to look at an example (see Figure 14-4) The visible areas of the mask de ne which parts of the display object appear; the mask cuts out the display object Set a mask by assigning it to the display object s mask property (the mask itself is not visible while it is being used as a mask) Stop masking by setting mask to null..



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A.2 Non-Negative Matrix Factorization (NMF)

FIGURE 14-4

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array. Filters are covered in depth in 37, Applying Filters. Scale-9 Display objects that have vector shapes can be con gured to scale like a frame around a picture: the center scales normally, the top and bottom of the frame scale only horizontally, the left and right sides of the frame scale only vertically, and the corners of the frame stay the same size. This lets you design custom edges that distort predictably as the display object is scaled, for example, to retain nicely shaped corners of a button. You can set

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this up by assigning a Rectangle describing the center cut to the scale9Grid property of a DisplayObject Learn more about Rectangle in the section Geometry Classes References DisplayObject de nes references to the display object s stage, parent, and root These are all read-only and may be unde ned if the display object is not in the display list of these associated objects Mouse position The mouseX and mouseY read-only properties give access to the position of the mouse cursor in relation to the display object, regardless of whether this display object is interactive or has mouse listeners attached Intersection testing You can see if two objects overlap by passing the second object to the rst object s hitTestObject() method Or you can test whether a point falls within a display object with the hitTestPoint() method.

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In this article, I will introduce you 3 top OCR programs for Mac and show you the benefits of each product.

Coordinate space conversion The display object s transformation matrix is available through the transform property You can transform points from the display object s own coordinate space to the global (stage) coordinate space and back with the globalToLocal() and localToGlobal() methods and their 3D counterparts Examine how the display object appears in other coordinate spaces by projecting it with the getBounds() and getRect() methods Added and removed events All display objects broadcast EventADDED_TO_STAGE and EventREMOVED_FROM_STAGE events when added and removed to the stage or any display list on the stage Timing All display objects broadcast EventENTER_FRAME events before every frame is drawn, making them ideal timing beacons for animation See more about time-based events in 22, Timers and Time-Driven Programming Drawable DisplayObject implements IBitmapDrawable, which means that the contents of any display object may be captured as a bitmap, to be manipulated however you wish.

NMF is a method of obtaining a representation of data using non-negativity constraints. These constraints lead to a part-based representation because they allow only additive, not subtractive, combinations of the original data [10]. Given an initial database expressed by an n m matrix V, where each column is an n-dimensional non-negative vector of the original database (m vectors), it is possible to find two new matrices (W and H) in order to approximate the original matrix Vi WH i = r a=1 Wia Ha . The dimensions of the factorized matrices W and H are n r and r m, respectively. Usually, r is chosen so that n + m r < nm. Each column of matrix W contains a basis vector, while each column of H contains the weights needed to approximate the corresponding column in V using the basis from W. In the PCA context, each column of matrix W represents an eigenvector and the factorized matrix of H represents the eigen projections. In contrast to PCA, NMF does not allow negative entries in the factorized matrices W and H permitting the combination of multiple basis images to represent an object. In order to estimate the factorization matrices, an objective function has to be defined. A possible objective function is given by F = Vi log WH i WH i . This objective function can be related to the likelihood of generating the images in V from the basis W and encoding H. An iterative approach to reaching a local maximum of this objective function is given by the following rules: Wia Wia Vi WH Ha

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OCR for Mac : text recognition and document conversion software . Easily transform paper documents, PDFs and ... Outstanding OCR software for Mac OS X .

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