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Wavelets - Caltech Multi-Res Modeling Group

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0<br />

0 (x) 1 1 (y)<br />

0<br />

0 (x) 1 0 (y)<br />

0<br />

0 (x) 0 0 (y)<br />

0<br />

0 (x) 0 0 (y)<br />

0 0 (x) 1 1 (y)<br />

0 0 (x) 1 0 (y)<br />

0 0 (x) 0 0 (y)<br />

0 0 (x) 0 0 (y)<br />

1 0 (x) 1 1 (y)<br />

1 0 (x) 1 0 (y)<br />

1 0 (x) 0 0 (y)<br />

1 0 (x) 0 0 (y)<br />

1 1 (x) 1 1 (y)<br />

1 1 (x) 1 0 (y)<br />

1 1 (x) 0 0 (y)<br />

1 1 (x) 0 0 (y)<br />

INTRODUCTION 29<br />

Figure I.22: The standard construction of a two-dimensional Haar wavelet basis for V 2 . In the unnormalized case,<br />

functions are +1 where plus signs appear, ,1 where minus signs appear, and 0 in gray regions.<br />

transform rows<br />

-<br />

?<br />

. ..<br />

transform<br />

columns<br />

Figure I.23: Non-standard decomposition of an image.<br />

Siggraph ’95 Course Notes: #26 <strong>Wavelets</strong>

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