Exemple : Outils de recherche de contours de convolution et de comparaison

Fonctions > Traitement d'image > Détecteurs de contour > Exemple : Outils de recherche de contours de convolution et de comparaison

Pour plus d'informations sur l'utilisation de cet exemple, voir A propos des exemples de traitement d'image.

kirsch

L'outil de recherche de contours kirsch utilise les huit noyaux suivants :

<region id="ID0ENGVZ" top="120" left="24" width="94.81" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>5</real> <real>5</real> <real>5</real> <real>-3</real> <real>0</real> <real>-3</real> <real>-3</real> <real>-3</real> <real>-3</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EAHVZ" top="120" left="144" width="102.873333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>5</real> <real>5</real> <real>-3</real> <real>5</real> <real>0</real> <real>-3</real> <real>-3</real> <real>-3</real> <real>-3</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0ETHVZ" top="120" left="264" width="102.873333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>5</real> <real>-3</real> <real>-3</real> <real>5</real> <real>0</real> <real>-3</real> <real>5</real> <real>-3</real> <real>-3</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EGIVZ" top="120" left="384" width="102.873333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>-3</real> <real>-3</real> <real>-3</real> <real>5</real> <real>0</real> <real>-3</real> <real>5</real> <real>5</real> <real>-3</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>
<region id="ID0E3IVZ" top="192" left="24" width="94.81" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>-3</real> <real>-3</real> <real>-3</real> <real>-3</real> <real>0</real> <real>-3</real> <real>5</real> <real>5</real> <real>5</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EOJVZ" top="192" left="144" width="102.873333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>-3</real> <real>-3</real> <real>-3</real> <real>-3</real> <real>0</real> <real>5</real> <real>-3</real> <real>5</real> <real>5</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EAKVZ" top="192" left="264" width="102.873333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>-3</real> <real>-3</real> <real>5</real> <real>-3</real> <real>0</real> <real>5</real> <real>-3</real> <real>-3</real> <real>5</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0ESKVZ" top="192" left="384" width="102.873333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>15</real> </apply> <matrix rows="3" cols="3"> <real>-3</real> <real>5</real> <real>5</real> <real>-3</real> <real>0</real> <real>5</real> <real>-3</real> <real>-3</real> <real>-3</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>

(lena.bmp)

(lena_mkir.bmp)

robinson3

L'outil de recherche de contours robinson3 utilise les huit noyaux suivants :

<region id="ID0EJRVZ" top="936" left="24" width="80.7633333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>1</real> <real>1</real> <real>0</real> <real>0</real> <real>0</real> <real>-1</real> <real>-1</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0E3RVZ" top="936" left="120" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>1</real> <real>0</real> <real>1</real> <real>0</real> <real>-1</real> <real>0</real> <real>-1</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EPSVZ" top="936" left="240" width="96.89" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>0</real> <real>-1</real> <real>1</real> <real>0</real> <real>-1</real> <real>1</real> <real>0</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0ECTVZ" top="936" left="360" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>0</real> <real>-1</real> <real>-1</real> <real>1</real> <real>0</real> <real>-1</real> <real>1</real> <real>1</real> <real>0</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>
<region id="ID0EYTVZ" top="1008" left="24" width="80.7633333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>-1</real> <real>-1</real> <real>0</real> <real>0</real> <real>0</real> <real>1</real> <real>1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EKUVZ" top="1008" left="120" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>-1</real> <real>0</real> <real>-1</real> <real>0</real> <real>1</real> <real>0</real> <real>1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0E3UVZ" top="1008" left="240" width="96.89" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>0</real> <real>1</real> <real>-1</real> <real>0</real> <real>1</real> <real>-1</real> <real>0</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EOVVZ" top="1008" left="360" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>3</real> </apply> <matrix rows="3" cols="3"> <real>0</real> <real>1</real> <real>1</real> <real>-1</real> <real>0</real> <real>1</real> <real>-1</real> <real>-1</real> <real>0</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>

(lena_mrob3.bmp)

robinson5

L'outil de recherche de contours robinson5 utilise les huit noyaux suivants :

<region id="ID0EYZVZ" top="1464" left="24" width="80.7633333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>2</real> <real>1</real> <real>0</real> <real>0</real> <real>0</real> <real>-1</real> <real>-2</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EL1VZ" top="1464" left="120" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>2</real> <real>1</real> <real>0</real> <real>1</real> <real>0</real> <real>-1</real> <real>0</real> <real>-1</real> <real>-2</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0E51VZ" top="1464" left="240" width="96.89" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>0</real> <real>-1</real> <real>2</real> <real>0</real> <real>-2</real> <real>1</real> <real>0</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0ER2VZ" top="1464" left="360" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>0</real> <real>-1</real> <real>-2</real> <real>1</real> <real>0</real> <real>-1</real> <real>2</real> <real>1</real> <real>0</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>
<region id="ID0EH3VZ" top="1536" left="24" width="80.7633333333333" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>-2</real> <real>-1</real> <real>0</real> <real>0</real> <real>0</real> <real>1</real> <real>2</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EZ3VZ" top="1536" left="120" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>-2</real> <real>-1</real> <real>0</real> <real>-1</real> <real>0</real> <real>1</real> <real>0</real> <real>1</real> <real>2</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EL4VZ" top="1536" left="240" width="96.89" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>0</real> <real>1</real> <real>-2</real> <real>0</real> <real>2</real> <real>-1</real> <real>0</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0E44VZ" top="1536" left="360" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>4</real> </apply> <matrix rows="3" cols="3"> <real>0</real> <real>1</real> <real>2</real> <real>-1</real> <real>0</real> <real>1</real> <real>-2</real> <real>-1</real> <real>0</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>

(lena_mrob5.bmp)

compgrad

L'outil de recherche de contours compgrad utilise les huit noyaux suivants :

<region id="ID0EHCWZ" top="2112" left="24" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>1</real> <real>1</real> <real>1</real> <real>-2</real> <real>1</real> <real>-1</real> <real>-1</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0E1CWZ" top="2112" left="120" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>1</real> <real>1</real> <real>1</real> <real>-2</real> <real>-1</real> <real>1</real> <real>-1</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0ENDWZ" top="2112" left="240" width="96.89" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>1</real> <real>-1</real> <real>1</real> <real>-2</real> <real>-1</real> <real>1</real> <real>1</real> <real>-1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EAEWZ" top="2112" left="360" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>-1</real> <real>-1</real> <real>1</real> <real>-2</real> <real>-1</real> <real>1</real> <real>1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>
<region id="ID0EWEWZ" top="2184" left="24" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>-1</real> <real>-1</real> <real>1</real> <real>-2</real> <real>1</real> <real>1</real> <real>1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EIFWZ" top="2184" left="120" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>-1</real> <real>1</real> <real>-1</real> <real>-2</real> <real>1</real> <real>1</real> <real>1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0E1FWZ" top="2184" left="240" width="96.89" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>-1</real> <real>1</real> <real>1</real> <real>-1</real> <real>-2</real> <real>1</real> <real>-1</real> <real>1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>	<region id="ID0EMGWZ" top="2184" left="360" width="88.8266666666667" height="53.012" xmlns="http://schemas.mathsoft.com/worksheet50"> <math> <apply xmlns="http://schemas.mathsoft.com/math50"> <mult /> <apply> <div /> <real>1</real> <real>5</real> </apply> <matrix rows="3" cols="3"> <real>1</real> <real>1</real> <real>1</real> <real>-1</real> <real>-2</real> <real>1</real> <real>-1</real> <real>-1</real> <real>1</real> </matrix> </apply> <resultFormat> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" /> <matrix size="12,12" offset="0,0" /> </resultFormat> </math> </region>

(lena_comp.bmp)

Rubriques associées

Outils de recherche de contours de convolution et de comparaison

Est-ce que cela a été utile?