Dear Samuel Ayinde,

This is a MATLAB code for your request, first run the function 'Circle2.m', then run the 'curve.m'. The results are also attached.

Hope to be useful.

Best Regards

Hi Farshad,

Thank you so much for your response to my question on Researchgate. I appreciate it greatly. I tried running my model with your codes, but I am not getting it right result. Please, find my attached M-files of the centers, radii and the line_x and line_y. You will load M-files on your Matlab workspace and run plotthelines.m to generate the lines. Help me adapt your code such that it will join the lines together with smooth curves, like the example you sent to me. Thank you so much.

Dear Samuel,

This is my pleasure that my response was useful. I checked out your data and found out that the data didn't match together. As Dr Breuer stated you can't fix all parameters, the radii and circle centres you attached cannot be used for the lines, it's better to plot the lines at first, then find the appropriate circle centres and radii (please find the attachments for more explanation). By the way, I do my best to plot your data by some changes ('Circle2.m' is a function, 'test1.m' is the MATLAB code for your modified data, the figures are the outputs of 'test1.m', both in 'jpg' and 'fig' format and the pdf is more explanation).

Hope to be useful.

Best Regards

Dear Farshad,

Thank you so much for this comprehensive answer. This is great. Thank you so much for the time you invested into this work. God bless you. I realized that there was bug in the code I used to compute the centers of the arc. The attached Matlab file contains the better result. For the lines, first rows are the X1, second rows are the Y1, third rows are the X2, fourth rows are the Y2. For the centers, fifth rows are the x-coordinates of the centers, sixth rows are the y-coordinates of the centers and seventh rows are the radius of the arc. 

Dear Samuel,

I plot the first six lines, the results have been attached. As seen there are some problems according to new data:

1. Lines length are so smaller than the distance between the lines.

2. For plotting a circle sector, the related range of the sector is needed, for example [pi/2  pi]

3. Even by having the sectors ranges, the lines couldn’t join to each other. For example, assume complete range of [0  2*pi] for each circle,  it  can be seen that the circles cannot join the lines together (figure-1 shows the first six lines and figure-2 shows the first six lines and their associated circles)

Kind Regards