Ejemplo: buscadores de bordes de comparación y convolución

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Ejemplo: buscadores de bordes de comparación y convolución

Para obtener información sobre el uso de este ejemplo, consulte Acerca de los ejemplos de procesamiento de imágenes

kirsch

El buscador de bordes kirsch usa los ocho kernels siguientes:

<region id="ID0E4WNZ" 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="ID0EQXNZ" 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="ID0EDYNZ" 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="ID0EWYNZ" 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="ID0EMZNZ" 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="ID0E5ZNZ" 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="ID0EQ1NZ" 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="ID0EC2NZ" 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

El buscador de bordes robinson3 usa los ocho kernels siguientes:

<region id="ID0EZBOZ" 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="ID0EMCOZ" 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="ID0E6COZ" 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="ID0ESDOZ" 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="ID0EIEOZ" 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="ID0E1EOZ" 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="ID0EMFOZ" 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="ID0E5FOZ" 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

El buscador de bordes robinson5 usa los ocho kernels siguientes:

<region id="ID0EIKOZ" 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="ID0E2KOZ" 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="ID0EOLOZ" 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="ID0EBMOZ" 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="ID0EXMOZ" 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="ID0EJNOZ" 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="ID0E2NOZ" 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="ID0ENOOZ" 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

El buscador de bordes compgrad usa los ocho kernels siguientes:

<region id="ID0EXSOZ" 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="ID0EKTOZ" 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="ID0E4TOZ" 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="ID0EQUOZ" 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="ID0EGVOZ" 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="ID0EYVOZ" 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="ID0EKWOZ" 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="ID0E3WOZ" 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)

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