Esempio: rilevamento dei bordi tramite convoluzione e confronto

Funzioni > Elaborazione immagini > Ricerca limiti > Esempio: rilevamento dei bordi tramite convoluzione e confronto

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="ID0E1XNZ" 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="ID0ENYNZ" 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="ID0EAZNZ" 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="ID0ETZNZ" 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="ID0EJ1NZ" 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="ID0E21NZ" 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="ID0EN2NZ" 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="ID0E62NZ" 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

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

<region id="ID0EWCOZ" 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="ID0EJDOZ" 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="ID0E3DOZ" 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="ID0EPEOZ" 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="ID0EFFOZ" 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="ID0EXFOZ" 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="ID0EJGOZ" 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="ID0E2GOZ" 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

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

<region id="ID0EFLOZ" 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="ID0EYLOZ" 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="ID0ELMOZ" 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="ID0E5MOZ" 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="ID0EUNOZ" 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="ID0EGOOZ" 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="ID0EYOOZ" 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="ID0EKPOZ" 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

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

<region id="ID0EUTOZ" 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="ID0EHUOZ" 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="ID0E1UOZ" 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="ID0ENVOZ" 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="ID0EDWOZ" 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="ID0EVWOZ" 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="ID0EHXOZ" 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="ID0EZXOZ" 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)

Argomenti correlati

Rilevamento dei bordi tramite convoluzione e confronto

È stato utile?