3-D wavelet transform for very low bit-rate video coding by Weidong H., Yulong M. PDF

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Analog and Digital Transmitting information from one place to another has always been of great interest to humankind. Before the discovery of electricity and the invention of electronic devices, the principal means for transmitting information were limited to sound, writing and printing, and light. Since the discovery of electricity, transmitting information with electrical signals through wires and with electromagnetic waves through the air have come to dominate information technology. Most electronic transmission of information makes use of a very limited symbol set—usually binary numbers consisting of groups of binary digits (0s and 1s).

The base-10 number system is used every day and may seem ordinary, but it is a very powerful and elegant system with which to express numbers. Although most people may not be aware of it, when adding and subtracting numbers, for example, one is essentially using shortcut rules that are based on base-10 algorithms. Algorithms for Arithmetic Addition Algorithms Consider 448 ϩ 246. 448 ϭ 400 ϩ 40 ϩ 8 246 ϭ 200 ϩ 40 ϩ 6 ϭ 600 ϩ 80 ϩ 14 ϭ 600 ϩ 80 ϩ (10 ϩ 4) ϭ 694 The base-10 algorithm for the same problem is shown explicitly below.

Behind these buildings are the architects who translate these mathematical concepts into concrete form. Today, humans continue to marvel at the mathematical constructions of ancient architects—the pyramids, ziggurats, temples, stadiums, and even such technological feats as ancient irrigation projects. Historical Architects Architecture and mathematics have historically been disciplines that were indistinguishable. Architects were mathematicians, and mathematicians were often architects. In the sixth century, Byzantine emperor Justinian wanted the Hagia Sophia to be unlike any other building built before, so he assigned the job to two professors of mathematics named Isidoros and Anthemios.

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3-D wavelet transform for very low bit-rate video coding by Weidong H., Yulong M.

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