Slides of the presentation (PDF, 6.5 Mb) - Biomedical Imaging Group ...
Slides of the presentation (PDF, 6.5 Mb) - Biomedical Imaging Group ...
Slides of the presentation (PDF, 6.5 Mb) - Biomedical Imaging Group ...
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Fundamental B-spline properties<br />
➤ Partition <strong>of</strong> unity<br />
• reproduction <strong>of</strong> <strong>the</strong> constant<br />
and <strong>of</strong> polynomials<br />
up to degree n<br />
➤ Riesz basis<br />
• stability: small perturbation <strong>of</strong> coefficients results into small change<br />
<strong>of</strong> spline signal<br />
• unambiguity: each re<strong>presentation</strong> is unique<br />
➤ m-scale relation (for m integer)<br />
7
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