Esempio: rilevamento dei bordi tramite convoluzione e confronto

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Esempio: rilevamento dei bordi tramite convoluzione e confronto

Per informazioni sull'utilizzo di questo esempio, fare riferimento a Esempi di elaborazione delle immagini.

kirsch

La ricerca dei bordi tramite kirsch utilizza gli otto kernel indicati di seguito.

<region id="ID0EZ5S1" top="120" left="24" height="53.012" width="94.81" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">5</real> <real xml:lang="it">5</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">0</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ES6S1" top="120" left="144" height="53.012" width="102.873333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">5</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">0</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ELAT1" top="120" left="264" height="53.012" width="102.873333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">0</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EEBT1" top="120" left="384" height="53.012" width="102.873333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">0</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>
<region id="ID0E6BT1" top="192" left="24" height="53.012" width="94.81" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">0</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">5</real> <real xml:lang="it">5</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EXCT1" top="192" left="144" height="53.012" width="102.873333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">0</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">5</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EPDT1" top="192" left="264" height="53.012" width="102.873333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">0</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EHET1" top="192" left="384" height="53.012" width="102.873333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">15</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-3</real> <real xml:lang="it">5</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">0</real> <real xml:lang="it">5</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> <real xml:lang="it">-3</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>

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(lena.bmp)

(lena_mkir.bmp)

robinson3

La ricerca dei bordi tramite robinson3 utilizza gli otto kernel indicati di seguito.

<region id="ID0EVLT1" top="936" left="24" height="53.012" width="80.7633333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EOMT1" top="936" left="120" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EHNT1" top="936" left="240" height="53.012" width="96.89" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EAOT1" top="936" left="360" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>
<region id="ID0E2OT1" top="1008" left="24" height="53.012" width="80.7633333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ETPT1" top="1008" left="120" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ELQT1" top="1008" left="240" height="53.012" width="96.89" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EDRT1" top="1008" left="360" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">3</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>

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(lena_mrob3.bmp)

robinson5

La ricerca dei bordi tramite robinson5 utilizza gli otto kernel indicati di seguito.

<region id="ID0EXVT1" top="1464" left="24" height="53.012" width="80.7633333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">2</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EQWT1" top="1464" left="120" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">2</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EJXT1" top="1464" left="240" height="53.012" width="96.89" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">2</real> <real xml:lang="it">0</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ECYT1" top="1464" left="360" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">2</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>
<region id="ID0E4YT1" top="1536" left="24" height="53.012" width="80.7633333333333" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">2</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EVZT1" top="1536" left="120" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">2</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EN1T1" top="1536" left="240" height="53.012" width="96.89" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">0</real> <real xml:lang="it">2</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EF2T1" top="1536" left="360" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">4</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">2</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> <real xml:lang="it">0</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>

Fare clic per copiare questa espressione

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(lena_mrob5.bmp)

compgrad

La ricerca dei bordi tramite compgrad utilizza gli otto kernel indicati di seguito.

<region id="ID0EZ6T1" top="2112" left="24" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ESAU1" top="2112" left="120" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0ELBU1" top="2112" left="240" height="53.012" width="96.89" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EECU1" top="2112" left="360" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>
<region id="ID0E6CU1" top="2184" left="24" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EXDU1" top="2184" left="120" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EPEU1" top="2184" left="240" height="53.012" width="96.89" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>	<region id="ID0EHFU1" top="2184" left="360" height="53.012" width="88.8266666666667" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50"> <math xml:lang="it"> <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50"> <mult xml:lang="it" /> <apply xml:lang="it"> <div xml:lang="it" /> <real xml:lang="it">1</real> <real xml:lang="it">5</real> </apply> <matrix rows="3" cols="3" xml:lang="it"> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-2</real> <real xml:lang="it">1</real> <real xml:lang="it">-1</real> <real xml:lang="it">-1</real> <real xml:lang="it">1</real> </matrix> </apply> <resultFormat xml:lang="it"> <decimal precision="round-trip-decimal-places" show-trailing-zeros="false" radix="dec" imaginary-value="i" xml:lang="it" /> <matrix size="12,12" offset="0,0" xml:lang="it" /> </resultFormat> </math> </region>

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(lena_comp.bmp)