Manipulation of smooth curves with Matlab, by considering a polynomial for each coordinate.
Requires the MatGeom toolbox.
Please note that the project is no longer maintained.
First download or clone the project.
To install the library, you simply need to add the path to the main directory of the library :
>> addPath('basePath/polynomialCurves2d');
The package was originally designed to simplify and smooth the display of skeletons as obtained from binary images. Let us start by computing the skeleton of a binary image (image is provided with Matlab).
% Fit a set of curves to a binary skeleton
img = imread('circles.png');
% compute skeleton, and ensure one-pixel thickness
skel = bwmorph(img, 'skel', 'Inf');
skel = bwmorph(skel, 'shrink');
figure; imshow(skel==0)
From the skeleton image, it is possible to compute a series of polynomial curves. The result is given as a cell array, each cell containing the data for a single curve.
% compute coeff of each individual branch
coeffs = polynomialCurveSetFit(skel, 2);
% Display segmented image
figure; imshow(~img); hold on;
% overlay curves
for i = 1:length(coeffs)
hc = drawPolynomialCurve([0 1], coeffs{i});
set(hc, 'linewidth', 2, 'color', 'g');
end
