Applied Mathematicsematics

Completing the picture : fragments and back again by by Martin Karresand.

By by Martin Karresand.

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If RST markers are used the scan is interrupted at regular5 intervals by a marker 0xFFD x, where xi +1 = (xi + 1) mod 8; x0 = 0. The marker is not followed by any length value bytes. 4). Sometimes the encoding of the image may lead to situations where a byte value of 0xFF will be used in the scan without signifying a header segment. In those cases the JPEG standard stipulates that the 0xFF value should be converted to 0xFF00. The extra zeros should be ignored when decoding the scan. Any value other than 0x00 or 0xD0 to 0xD7 following a 0xFF value is forbidden and should generate a decoding error.

The full decoding strategy can also be used to check if any fragment pair is a proper one. If a pre-selection of possible fragments has been done using the RST markers, the full decoding strategy will decrease the amount of possible fragment pairs to 3118 for our test image. This amounts to more than (3118/381)380 > 8381 combinations to test, which is too many. Since the method can only tell whether a certain fragment pair is possible or not, we cannot get any measurements of the fragment joint validity and consequently have to test every combination.

The scan part might contain markers too. If RST markers are used the scan is interrupted at regular5 intervals by a marker 0xFFD x, where xi +1 = (xi + 1) mod 8; x0 = 0. The marker is not followed by any length value bytes. 4). Sometimes the encoding of the image may lead to situations where a byte value of 0xFF will be used in the scan without signifying a header segment. In those cases the JPEG standard stipulates that the 0xFF value should be converted to 0xFF00. The extra zeros should be ignored when decoding the scan.

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