# How to calculate the curvature of a boundaries in binary images?

111 views (last 30 days)

Show older comments

Dear all,

I have a binary image that contains one shape as I show below:

I want to represent the curvature using color coding of the boundariessimilar to image I got from the video in this link http://en.wikipedia.org/wiki/Curvature

Does anyone knows how to do that?

Any help or suggestion will be appreciated.

Meshoo

##### 0 Comments

### Accepted Answer

Image Analyst
on 27 Nov 2014

##### 17 Comments

Image Analyst
on 23 Jun 2018

A large radius of curvature means a "flat" part of the curve while a small radius of curvature means "pointy" parts of the curve.

Whether it's positive or negative just says which side of the curve it's bending to. You might want to just take the absolute value of the curvature if you don't care which side it bends toward.

### More Answers (3)

Preetham Manjunatha
on 2 Aug 2021

Edited: Preetham Manjunatha
on 4 Aug 2021

Here this function measures the curvature and other shape properties. In addition, it displays the curvature.

Here is the T-section with sharp corners:

##### 0 Comments

linda cummings cummingslinda14@gmail.com
on 9 Sep 2016

Very nice. Have you worked in gray image the this code ? Have you tried?

Linda Cummings

cummingslinda14 at gmail.com

##### 0 Comments

sana3 sal
on 18 Jun 2018

Hello Mr @Image Analyst, I am wondering how to read the curvature? or how to analyse it?

##### 3 Comments

cyril grandjean
on 10 Apr 2020

Hello I read the code well but I was not sure that I understood correctly. So the coefficient provided in this code corresponds to the overall curvature of my form or a trend is that right?

thank you in advance

### See Also

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!