您正在关注此问题

您将在关注的内容源中看到更新。
您可能会收到电子邮件，具体取决于您的通信预设项。

what will be the range of fractal dimension for 2 dimension binary image?

1 次查看（过去 30 天）

显示更早的评论

Dhandapani.S 2015-1-18

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image

⋮

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image

评论： Dhandapani.S 2015-1-19

what will be the range of fractal dimension for 2 dimension binary image?

8 个评论
显示 6更早的评论隐藏 6更早的评论

dpb 2015-1-18

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261165

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261165

在 MATLAB Online 中打开

[-Inf Inf]

Image Analyst 2015-1-18

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261166

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261166

Wouldn't it be between 1 and 2?

dpb 2015-1-18

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261168

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261168

编辑：dpb 2015-1-18

'Pends on whether it represents a fractal set or not...realistically, yes, it'll likely actually have a value at or near the Euclidean dimensionality, but the query as posed is, I think, indeterminate.

Image Analyst 2015-1-18

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261191

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261191

I thought it was something like, if it was a straight line the fractal dimension would be 1. Then as the line wiggles and gets more tortuous, the fractal dimension gets larger and larger until it reaches 2 when the line is so tortuous that it completely fills the 2D plane. But I'm not an expert on fractals so that's just my very rudimentary understanding of it.

dpb 2015-1-18

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261199

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261199

That's the basic idea, yeah...since the OP did limit his question to 2D I reacted too quickly I suppose. The image could have been from a higher dimension construct, but once it was projected into 2D its maximum is restricted to the topological dimension.

Dhandapani.S 2015-1-19

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261305

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261305

original_12_13.png

Thank you both. i am in the process of offline handwritten signature verification. i tried the code given by Alceu Ferraz Costa. it Returns the Haussdorf fractal dimension of an object represented by the binary image. i get values like 0.48 0.05 for various signatures like the one in the aatchment. please help. will the fractal dimension be less than 0.

Image Analyst 2015-1-19

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261312

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261312

I don't know that person, paper, or algorithm. I've never heard of a fractal dimension that is negative.

Dhandapani.S 2015-1-19

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261349

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261349

hausDim.m

herewith i am attaching the code file of his. i will be helpful if i got to know the fractal dimension of the signature attached.

请先登录，再进行评论。

请先登录，再回答此问题。

回答（1 个）

Image Analyst 2015-1-18

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#answer_165214

⋮

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#answer_165214

I believe it ranges from 1 to 2.

2 个评论
显示无隐藏无

dpb 2015-1-18

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261217

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261217

I think possible range would be [0 2]; the image could be a point

Image Analyst 2015-1-19

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261238

⋮

链接

此评论的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/170443-what-will-be-the-range-of-fractal-dimension-for-2-dimension-binary-image#comment_261238