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Development of a wavelet-based algorithm to detect and determine ...

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6.2. BASIC IDEAS OF THE WAVELET TRANSFORM 51<br />

are downsampled by two.<br />

Multiple-level decomposition<br />

Figure 6.14: One - stage - filtering<br />

The decomposition process can be iterated, with successive approximations being de-<br />

composed in turn, so that one signal is broken down in<strong>to</strong> many lower resolution com-<br />

ponents. This is called the <strong>wavelet</strong> decomposition tree. Since the analysis process is<br />

iterative, in theory it can be continued indefinitely. In reality, the decomposition can<br />

proceed only until the individual details consist <strong>of</strong> a single sample or pixel.

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