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other applications The sample JPEG encoder generates an exception during the compression process if the user has specified fractional sampling The JPEG standard (Section B23) specifies that an MCU within a scan may contain a maximum of 10 data units: HFy VHy + HFcb VHcb + HFCr VHCr 10
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This is an arbitrary limit, but it is easy to overlook The encoder must therefore ensure that this limit is not exceeded, or else the files it produces will not be readable by decoders that conform to the JPEG standard Suppose that the Y component has horizontal and vertical sampling frequencies of 4 Since the Y component would contribute 16 data units to an MCU in an interleaved scan, with these sampling frequencies the Y component would have to be encoded by itself in a noninterleaved scan The sample encoder throws an exception if the user tries to create scans with more than 10 data units per MCU An alternative would be for the encoder to limit the user's options to sampling frequencies that will not exceed this limit For instance, the encoder could give the user a choice of making all the sampling frequencies 1 (3 data units per MCU) or allow the Y component to have sampling frequencies of 2 and the other components to have sampling frequencies of 1 (6 data units per MCU) Yet another possibility would be for the encoder to automatically assign components to separate scans if the number of data units in an MCU is too large Restart Markers Restart markers are used to create independently encoded blocks of MCUs In a sequential JPEG file the DC coefficient is encoded as a difference value rather than as an absolute value When an image contains no restart markers, every MCU, except for the first, depends upon the previous MCU being decoded correctly1 If the encoded data for an MCU gets corrupted (eg, while the file is being transmitted over a telephone line), each subsequent MCU will be incorrectly decoded If an image contains restart markers, a decoder can use them to recover from corrupt compressed data Since restart markers are placed in the output stream in sequence, decoders can compare the last one read before the corrupt data was encountered to the current one and use the restart interval to determine where in the image the decoding should resume This works as long as the corruption in the compressed stream does not span eight restart markers If it does, the decoder will not be able to match the remaining compressed data to its correct location within the image
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In progressive JPEG there can be dependencies among the data units from the AC coefficients as well
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Creating Sequential JPEG Images Obviously, the smaller the restart interval, the sooner the decoder can recover from an error Having a restart interval so large that only one or two restart markers get written in the scan is usually of little value Having too small a restart interval is not a good idea, either Each restart marker adds two bytes of overhead to the compressed stream and can reduce the amount of data compression, especially in progressive-mode JPEG A tiny restart interval also makes it more likely that corruption will extend past eight restart markers When creating JPEG files that are used on a single system or a reliable network, restart markers are rarely necessary If you need them for error recovery, a good restart interval is the number of MCUs that make up a row Color or Grayscale The JFIF standard allows either three-component color images or one-component (Y) grayscale images A JPEG encoder can be written so that it always uses three components, but the drawback is that the grayscale images will be a bit larger and the processing required to decode them significantly more than necessary In the RGB colorspace, shades of gray are represented with component values where R = G = B If you look closely at the RGB-to-YCbCr conversion functions in 1 you will see that, with 8-bit samples, for any grayscale color (R = X, G = X, B = X), the corresponding YCbCr color representation is Y = X, Cb = 128, Cr = 128 Since 128 is subtracted from the component values before the DCT is performed, the coefficients for the Cb and Cr components in a grayscale image will all be zero In a grayscale image the Cb and Cr components obtain outstanding compression since each data unit requires only 2-bits to encode, not counting the overhead from markers While the amount of compressed data from the Cb and Cr components is relatively small, it is still completely useless An encoder can automatically determine if the incoming image is in grayscale by checking to see if the RGB color value for each pixel is such that R = G = B This causes a problem if an image contains RGB values where the component's values are very close but not exactly equal an RGB value of (101, 100, 102), for example, would look gray on the screen An encoder could use a small delta value instead of equality to make the test: abs(R - B) < abs(R - G) < abs(G - B) < However, this raises the question of how large to make the delta and, more important, whether or not the user wants images with colors close to pure gray to be converted to grayscale Probably the safest way to deal with grayscale images is to have the user specify to the encoder whether to compress the image using grayscale or color
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