Interpolation of angular data spline or linear?

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Alina tom
Alina tom 2019-1-1
评论： Alina tom 2019-1-2
I have a binary image. in which i have different data points on different locations. I want to apply interpolation techniques between those points. can anyone help me how i can apply interpolation on angular data points . input image is attached.
3.jpg
The out put is something like the below image
out.JPG
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John D'Errico
John D'Errico 2019-1-1
Then why not just clarify your last question? Your approach is to just keep asking the same question until you hope someone gives you an answer.
Alina tom
Alina tom 2019-1-1
Sir, I am extremely sorry for my mistake, you are absolutely right i just have to clarify the last posted question. Actually i was not able to apply interpolation as i want and it stucks my mind and i posted it again. I am extreamly sorry again

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Akira Agata
Akira Agata 2019-1-2
One possible solution would be looks like this. In addition, if you feel @Image Analyst's answer for your previous question useful, I (...and Image Analyst-san) would be happy if you could accept it.
% Load the image
I = imread('3.jpg');
% Binarize and apply ultimate erosion
BW = imbinarize(rgb2gray(I));
BW = imclearborder(BW);
BW = bwulterode(BW);
% Find (x,y) coordinates
[row,col] = find(BW);
% Arrange the coordinates to circular order
theta = atan2(row-mean(row),col-mean(col));
data = table(row,col,theta);
data = sortrows(data,'theta');
data = [data;data(1,:)];
data.theta(end) = data.theta(end)+2*pi;
% Apply spline interpolation
n = 1:height(data);
pp = spline(n,[data.col';data.row']);
xy = ppval(pp,linspace(1,height(data)));
% Visualize the result
figure
imshow(I)
hold on
scatter(col,row,'rx')
plot(xy(1,:),xy(2,:),'r-')
spline.png

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