One dimensional sieve introduction: Difference between revisions

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[http://cmpdartsvr3.cmp.uea.ac.uk/wiki/BanghamLab/index.php/MSER%27s_and_Connected_sets#One_dimensional_signals Return to MSERs and extrema]<br><br>
[http://cmpdartsvr3.cmp.uea.ac.uk/wiki/BanghamLab/index.php/MSER%27s_and_Connected_sets#One_dimensional_signals Return to MSERs and extrema]<br><br>
Matlab function IllustrateSIV_1 illustrates how MSERs (maximally stable extremal regions) and sieves are related. We start with one dimensional signals before moving to two dimensional images and three dimensional volumes.
{| border="0" cellpadding="5" cellspacing="5"
{| border="0" cellpadding="5" cellspacing="5"
|- valign="top"
|- valign="top"
|width="50%"| [[Image:3D_extrema.gif|300px|link=One dimensional sieve introduction|AAMToolbox]]
|width="20%"| [[Image:3D extrema thumb.gif|100px|AAMToolbox]]
|Consider a signal, ''X''<br>
|'''Consider a signal''', <math>X</math><br>
X=getData('PULSES3WIDE')<br><br>
>blue  X=0 5 5 0 0 1 1 4 3 3 2 2 1 2 2 2 1 0 0 0 1 1 0 3 2 0 0 0 6 0 0<br>  
|}
|}
{| border="0" cellpadding="5" cellspacing="5"
|- valign="top"
[[Image:IllustrateSIV_1_02.png|600px]]
|}
<math>X</math> has three one-sample-wide maxima (<math>M^1_8</math> , <math>M^1_{24}</math> , <math>M^1_{29}</math> ), two two-sample-wide maxima (<math>M^2_{14}</math> , <math>M^2_{21}</math>) some of which, when removed, will persist as larger scale maxima, e.g. <math>M^1_{24}</math> will become two samples wide as the peak is clipped off.

Revision as of 19:32, 14 November 2013

Return to MSERs and extrema

Matlab function IllustrateSIV_1 illustrates how MSERs (maximally stable extremal regions) and sieves are related. We start with one dimensional signals before moving to two dimensional images and three dimensional volumes.

AAMToolbox Consider a signal, <math>X</math>

X=getData('PULSES3WIDE')

>blue X=0 5 5 0 0 1 1 4 3 3 2 2 1 2 2 2 1 0 0 0 1 1 0 3 2 0 0 0 6 0 0

IllustrateSIV 1 02.png

<math>X</math> has three one-sample-wide maxima (<math>M^1_8</math> , <math>M^1_{24}</math> , <math>M^1_{29}</math> ), two two-sample-wide maxima (<math>M^2_{14}</math> , <math>M^2_{21}</math>) some of which, when removed, will persist as larger scale maxima, e.g. <math>M^1_{24}</math> will become two samples wide as the peak is clipped off.