Acosta et al 2021a - Revision history

Rimni at 15:05, 17 March 2022

2022-03-17T15:05:15Z

Rimni at 15:04, 17 March 2022

2022-03-17T15:04:53Z

Rimni at 15:04, 17 March 2022

2022-03-17T15:04:01Z

Rimni at 15:02, 17 March 2022

2022-03-17T15:02:52Z

Rimni at 15:01, 17 March 2022

2022-03-17T15:01:54Z

Rimni: /* 1. Introduction */

2022-03-17T14:59:18Z

‎1. Introduction

Rimni at 14:55, 17 March 2022

2022-03-17T14:55:06Z

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Rimni at 12:49, 17 March 2022

2022-03-17T12:49:49Z

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Onate: Onate moved page Review 368345517339 to Acosta et al 2021a

2022-03-05T12:20:51Z

Onate moved page Review 368345517339 to Acosta et al 2021a

Rimni at 09:33, 21 December 2021

2021-12-21T09:33:27Z

@@ Line 313: / Line 313: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-BC-area-figure.png|301px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-BC-area-figure.png|401px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;" | '''Figure 12'''. BC menu's characteristic for measurement of <math>D_B</math> over a figure's area

← Older revision		Revision as of 15:04, 17 March 2022
Line 357:		Line 357:

	==References==		==References==
		+	<div class="auto" style="text-align: left;width: auto; margin-left: auto; margin-right: auto;font-size: 85%;">

	<div id="cite-1"></div>		<div id="cite-1"></div>

@@ Line 226: / Line 226: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Frac-Dim1.png|200px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-Frac-Dim1.png|300px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 5'''. Menu for calculate directly the fractal dimension by the box counting method.
@@ Line 272: / Line 272: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Image-BC-Data.png|257px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-Image-BC-Data.png|357px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 9'''. Two of the analysis results given by the plugin's operations

@@ Line 294: / Line 294: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Linear-Adjust.png|331px]]
+|style="padding:10px;"|[[Image:Review_368345517339-Linear-Adjust.png|431px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 11'''. Linear adjustment of columns two an three of data from file in “csv” format
@@ Line 313: / Line 313: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-BC-area-figure.png|201px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-BC-area-figure.png|301px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;" | '''Figure 12'''. BC menu's characteristic for measurement of <math>D_B</math> over a figure's area
@@ Line 326: / Line 326: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-DB-Area-Fractal.png|441px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-DB-Area-Fractal.png|541px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 13'''. Results of <math>D_B</math> over a figure's area

@@ Line 20: / Line 20: @@
 |-style="text-align:center"
 !   Scale (s) !!  Long. (L) !!  Ln(s) !!  Ln(L)
-|-
+|- style="text-align:center"
 |  200
 |  2350
 |  5.2983
 |  7.7622
-|-
+|- style="text-align:center"
 |  100
 |  2775
 |  4.6052
 |  7.9284
-|-
+|- style="text-align:center"
 |   50
 |  3425
@@ Line 43: / Line 43: @@
 |-style="text-align:center"
 !   Scale (s) !!  Long. (L) !!  Ln(s) !!  Ln(L)
-|-
+|- style="text-align:center"
 |   200/200
 | 2350
 |  0.0000
 |  7.7622
-|-
+|- style="text-align:center"
 |   100/200
 | 2775
 |  -6.6931
 |  7.9284
-|-
+|- style="text-align:center"
 |   50/200
 |  3425
@@ Line 122: / Line 122: @@
 |-style="text-align:center"
 !   Scale (<math display="inline">\xi _k</math>) !!  <math>N(\xi _k)</math> !!  <math>\ln (1/\xi _k)</math> !!  <math>\ln (N)</math>
-|-
+|- style="text-align:center"
 |   1
 |  2350
 |  0.0000
 |  7.7622
-|-
+|- style="text-align:center"
 |   0.5
 |  5550
 |  0.6931
 |  8.6216
-|-
+|- style="text-align:center"
 |  0.25
 |  13700
@@ Line 193: / Line 193: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Mandelbrot-with-scale.png|122px]]
+|style="padding:10px;"|[[Image:Review_368345517339-Mandelbrot-with-scale.png|222px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 2'''. Mandelbrot figure with measure over the scale
@@ Line 204: / Line 204: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Setting-Scale.png|122px]]
+|style="padding:10px;"|[[Image:Review_368345517339-Setting-Scale.png|222px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 3'''. Setting the scale of the figure
@@ Line 215: / Line 215: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Find-Edges.png|100px]]
+|style="padding:10px;"|[[Image:Review_368345517339-Find-Edges.png|200px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 4'''. Menu for finding the edges of the figure
@@ Line 226: / Line 226: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Frac-Dim1.png|100px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-Frac-Dim1.png|200px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 5'''. Menu for calculate directly the fractal dimension by the box counting method.
@@ Line 250: / Line 250: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Access-FracLac.png|174px]]
+|style="padding:10px;"|[[Image:Review_368345517339-Access-FracLac.png|274px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;" | '''Figure 7'''. Menu to FracLac sub-process
@@ Line 272: / Line 272: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Image-BC-Data.png|157px|]]
+|style="padding:10px;"|[[Image:Review_368345517339-Image-BC-Data.png|257px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 9'''. Two of the analysis results given by the plugin's operations
@@ Line 283: / Line 283: @@
 {| style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: auto;max-width: auto;"
 |-
-|style="padding:10px;"|[[Image:Review_368345517339-Four-Moments.png|170px]]
+|style="padding:10px;"|[[Image:Review_368345517339-Four-Moments.png|270px]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="1" style="padding:10px;"| '''Figure 10'''. Four moments of the box counting calculations

@@ Line 101: / Line 101: @@
 |}
-And by analogy with the fractal dimension, <math display="inline">D_B</math> that is generally called “capacity” or “box dimension” is defined by the relation (Eq.[[#eq-3|3]]) <span id='citeF-4'></span>[[#cite-4|[4]]]
+And by analogy with the fractal dimension, <math display="inline">D_B</math> that is generally called “capacity” or “box dimension” is defined by the relation (Eq.[[#eq-3|(3)]]) <span id='citeF-4'></span>[[#cite-4|[4]]]
 <span id="eq-3"></span>
@@ Line 140: / Line 140: @@
-The result of applying the linear adjustment over the data  ([[#table-3|Table 3]]) is the equation shown below (Eq.[[#eq-4|4]])
+The result of applying the linear adjustment over the data  ([[#table-3|Table 3]]) is the equation shown below (Eq.[[#eq-4|(4)]])
 <span id="eq-4"></span>
@@ Line 155: / Line 155: @@
 and it could be seen that the fractal dimension is given directly form the slope of the equation <math display="inline">D_B = 1.27</math>.
-So there are two methods to calculate the fractal dimension, but if  “measuring rods” are used, some additional operations must be made to obtain the result.  In the “Box Counting Fractal” technique the result is directly the slope of straight line  (Eq.[[#eq-4|4]]) <span id='citeF-6'></span>[[#cite-6|[6]]].
+So there are two methods to calculate the fractal dimension, but if  “measuring rods” are used, some additional operations must be made to obtain the result.  In the “Box Counting Fractal” technique the result is directly the slope of straight line  (Eq.[[#eq-4|(4)]]) <span id='citeF-6'></span>[[#cite-6|[6]]].
 ==2. ImageJ application==

← Older revision	Revision as of 12:20, 5 March 2022
(No difference)

@@ Line 222: / Line 222: @@
 |}
-Calculations over the open figure can be made, but also another strategy can be taken, that is with “Rectangle” button of the toolbar choose an area that it is wanted to measure, without the scale, and on the menu select “Image” and the sub-process “Duplicate”, generates another figure with a different name proposed. So there are two figures and the original can be closed. With this new image active, select “Process” on the menu and go to “Binary” process, and “Make Binary” sub-process. Now if wants to calculate the fractal dimension of the figure's perimeter,  must find the edges [[#img-4|4]] or can outline the graphic, at this step of the process the image is prepared to be measured.
+Calculations over the open figure can be made, but also another strategy can be taken, that is with “Rectangle” button of the toolbar choose an area that it is wanted to measure, without the scale, and on the menu select “Image” and the sub-process “Duplicate”, generates another figure with a different name proposed. So there are two figures and the original can be closed. With this new image active, select “Process” on the menu and go to “Binary” process, and “Make Binary” sub-process. Now if wants to calculate the fractal dimension of the figure's perimeter,  must find the edges ([[#img-4|figure 4]]) or can outline the graphic, at this step of the process the image is prepared to be measured.
 <div id='img-4'></div>