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With these points in mind, here is a look at the best free OCR software and utilities for Mac users.

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The mark of a good OCR software is it's ability to scan low quality documents and ABBYY Finereader Pro is ... That said, there are many other good options now on Mac though such as Adobe Acrobot Pro and simple ... Answered Oct 23, 2018.

You use bitmap image data as a displacement map, whereas other lters you ve seen in this book use a matrix. This is simply a matter of managing data. In previous lters, you ve used relatively small matrices. To determine the offset of a pixel, you need to store two values for its offset in x and y. And you need an offset value for every pixel in the source image, so two matrices of size W H are required, where the input image is W by H pixels. Dealing with, and generating or loading, these potentially huge matrices would be unwieldy. Instead, a bitmap image is used to store the data. Each pixel s color is a combination of red, green, blue, and alpha channels, and you exploit this to store multiple channels of data (the x and y offsets) in one image. You can store four 8-bit (1-byte) values in every position of a bitmap image in Flash Player if you consider each color channel independently. In a displacement map, only two are used. Each channel can store values in the range [0, 255], which are normalized (scaled and shifted) to the range [ 0.5, 0.5]. This has one important implication: a black (0x00000000) pixel in the distortion map actually encodes the maximum negative displacement in both directions, not a zero-distance displacement. A 50 percent gray (0x80808080) pixel encodes this instead. Say you have an input image input, and a displacement map image map, and you ve decided to encode the x offsets in map s red channel and the y offsets in its green channel. In pseudocode,



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Optical character recognition ( OCR ) applications designed for the Apple Macintosh operating systems.

Every private in the French army carries a. Field Marshal wand in his knapsack. - Napoleon Bonaparte

offset(x, y) = (normalize(map(x, y).red) * scaleX, normalize(map(x, y).green) * scaleY) output(x, y) = input((x, y) + offset(x, y))

You can use an algorithm to generate a displacement map programmatically, using the bitmap drawing methods described in 36, Programming Bitmap Graphics, or using vector drawing tools and

The Merkle-Hellman knapsack cryptosystem [loo] was one of the first proposed public key cryptosystems. This cipher utilizes a few elementary, but nonetheless clever mathematical ideas. Because of its historical significance and since it is easy to understand, we examine it first. The cipher is based on a mathematical problem which is known to be NP-complete [55]. The subset sun1 or knapsack problem can be stated as follows: Given a set of r weights = (wo, W l , . . . , WT-1)





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capturing the drawing in a BitmapData object with the draw() method. For projections de ned by optics or geometry, it makes sense to generate these maps in code. You can also simply load an image as a Bitmap and use its bitmapData. No matter how the displacement map is created, you pass it to the DisplacementMapFilter as BitmapData. Following are the lter s properties:

Writing the dual function incorporating the constraints, we obtain the dual optimization problem: Maximize

mapBitmap The displacement map. mapPoint When the displacement map and input image are not aligned, a Point that

~ - where 1 ,

componentX Which color channel from the map bitmap encodes the horizontal displacement. One of BitmapDataChannel.RED, BitmapDataChannel.GREEN, BitmapDataChannel.BLUE, or BitmapDataChannel.ALPHA. componentY Which color channel from the map bitmap encodes the vertical displacement. See componentX for possible values. scaleX The maximum absolute horizontal displacement. scaleY The maximum absolute vertical displacement. mode How to displace pixels along the edges. This lter suffers from a similar

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18 Apr 2019 ... How to apply OCR to scanned PDFs on Mac . Download PDFpen or PDFpenPro if you don't already have it ( free trial available) After installing the app on your Mac , open the PDF document you'd like to apply OCR to. PDFpen will automatically ask if you want to use OCR on a scanned document. Click OCR Document.

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18 Mar 2019 ... Optical Character Recognition , often abbreviated as OCR is the way of converting typed or handwritten text into a form that machine can understand. ... Let’s have a look at the Top 10 Best OCR Software Windows/Mac2019. ... FineReader is an OCR Software that is used both by Windows and Mac ...

problem as a convolution lter: what should it do when the post-displacement location in the source image is out of bounds The lter provides the following options. DisplacementMapFilterMode.IGNORE uses the undisplaced source pixel instead. DisplacementMapFilterMode.WRAP uses the pixel that would be present if the source image tiled in nitely. DisplacementMapFilterMode.CLAMP uses the nearest in-bounds pixel. DisplacementMapFilterMode.COLOR uses a prede ned substitute color instead. The default is WRAP.

+ . . . +X r - l W T - l ,

color The substitute color when mode is DisplacementMapFilterMode.COLOR. alpha The alpha value of the substitute color when mode is DisplacementMapFilterMode.COLOR.

=0 i

provided that this is possible. Note that the z simply select a subset of the i weights. For example, suppose that the weights are W = (4,3,9,1,12,17,19,23) and the given sum is X = 35. Then, a solution to the subset problem exists and is given by z = (01011010), since 0.4

The parameters in the given order are also the parameters to DisplacementMapFilter s constructor, where they are optional. In Example 37-13, Perlin noise, covered in 36, is used to animate a ag apping in the wind.

EXAMPLE 37-13

For this set of weights, if X = 6, the problem does not have a solution. While the general knapsack problem is NP-complete, a special type of knapsack known as a superincreasing knapsack can be solved efficiently. A superincreasing knapsack is a set W that, when ordered from least to greatest, has the property that each weight is greater than the sum of all the previous weights. For example,

package { import flash.display.*; import flash.events.Event; import flash.filters.DisplacementMapFilter; import flash.filters.DisplacementMapFilterMode; import flash.geom.*; import flash.net.URLRequest; [SWF(width="500",height="500",backgroundColor="#000000",frameRate="50")]

EXAMPLE 37-13

W = (2; 3,6; 13,29,55,112,220)

(16.36)

(continued)

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However, these free OCR apps are the best you can get to convert PDF OCR X Community Edition is a free desktop OCR app for macOS.

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