Image fractal dimension value

Question

Jane Bat 2022-2-15

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1650650-image-fractal-dimension-value

评论： yanqi liu 2022-2-16

fd126.png

I have interest in fractal dimension (FD) as I was reading this paper https://translational-medicine.biomedcentral.com/track/pdf/10.1186/1479-5876-8-140.pdf

I run the code below on the right figure (Koch snowflake) https://translational-medicine.biomedcentral.com/articles/10.1186/1479-5876-8-140/figures/1 but I get different results, any idea why? Any recommendation of introductory book covering this issue with matlab?

clc;
clear all;
close all;
fileName='E:/fd126.png'
I = (imread(fileName));
I = imfill(I,'holes');
figure
imshow(I);
BW = imbinarize(I);
BoxCountfracDim(BW)  %using Hausdorff (Box-Counting) Fractal Dimension with multi-resolution calculation version 1.0.0.0 by Tan Nguyen
hausDim(BW) %using Hausdorff (Box-Counting) Fractal Dimension version 1.2.0.0 by Alceu Costa

2 个评论
显示无隐藏无

John D'Errico 2022-2-15

What result do you get? How far is it off? Do you accept that this computation could some some degree of error in it? How can we know what you think is the wrong number?

Image Analyst 2022-2-16

If you want us to run the code you should attach BoxCountfracDim and hausDim. Otherwise I'm not doing anything.

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

yanqi liu 2022-2-16

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1650650-image-fractal-dimension-value#answer_897195

在 MATLAB Online 中打开

yes，sir，may be should use image as same，such as

clc; clear all; close all;
fileName='12967_2010_Article_2115_Fig1_HTML.webp.jpg';
[I,map] = imread(fileName,'jpg');
if ~isempty(map)
    I = ind2rgb(I,map);
end
figure
imshow(I);
BW = im2bw(I,0.9);
bws = imfill(~BW,'holes');
bw1 = bwperim(bwareafilt(bws,1));
[r,c] = find(bw1);
bw1 = bw1(min(r):max(r),min(c):max(c));
bw2 = bwperim(bwareafilt(bws,1,'smallest'));
[r,c] = find(bw2);
bw2 = bw2(min(r):max(r),min(c):max(c));
figure;
subplot(1,2,1); imshow(bw1);
subplot(1,2,2); imshow(bw2);
BoxCountfracDim(bw1)  %using Hausdorff (Box-Counting) Fractal Dimension with multi-resolution calculation version 1.0.0.0 by Tan Nguyen
hausDim(bw1) %using Hausdorff (Box-Counting) Fractal Dimension version 1.2.0.0 by Alceu Costa
BoxCountfracDim(bw2)  %using Hausdorff (Box-Counting) Fractal Dimension with multi-resolution calculation version 1.0.0.0 by Tan Nguyen
hausDim(bw2) %using Hausdorff (Box-Counting) Fractal Dimension version 1.2.0.0 by Alceu Costa