The Mathematics that Power Our World by Joseph Khoury & Gilles Lamothe
Author:Joseph Khoury & Gilles Lamothe [Khoury, Joseph & Lamothe, Gilles]
Language: eng
Format: epub
ISBN: 9789814730860
Publisher: World Scientific Publishing Co. Pte. Ltd.
Published: 2016-10-15T00:00:00+00:00
(6) Round the entries of B1 to the nearest integer:
(7) Add 128 to each entry of B2:
(8) Matrix A′ represents the grayscale values of the reconstructed 8 × 8 block. The original and the reconstructed images are shown:
Not bad, considering that the compressed image takes only about 25% of the storage space taken by the raw image.
3.5 The mathematics of DCT
In this section, we dig deeper into the mathematics that make the DCT such an important tool for image compression. As the reader will soon discover, all the magic of JPEG compression happens by mixing together some basic properties of linear algebra with some trigonometric identities.
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