Interpolation of angular data spline or linear?

Question

Alina tom 2019-1-1

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https://ww2.mathworks.cn/matlabcentral/answers/437857-interpolation-of-angular-data-spline-or-linear

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.

The out put is something like the below image

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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 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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Answer 1

Akira Agata 2019-1-2

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https://ww2.mathworks.cn/matlabcentral/answers/437857-interpolation-of-angular-data-spline-or-linear#answer_354623

在 MATLAB Online 中打开

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-')