Taylor expansion with 2 variables
Taylor's theorem generalizes to multivariate functions. Formula for third order approximation of a bivariate function can be fou...

Troubleshooting Isosurface Rendering Code
Make sure that your 'Image' variable is cast as a double and actually has a zero level-set. Here is an example: % Samp...

How to find distance between two nodes? including the nodes.

how to deal with large polygons ?
Check out 'DecimatePoly' function on FEX: <https://www.mathworks.com/matlabcentral/fileexchange/34639-decimate-polygon> Inclu...

Detection of line segments and length
It doesn't look very clear to me, and is maybe the reason why the Hough transform isn't generating the output you want. For exam...

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Can I recover only the diagonal elements of A' * B with SVD vectors of A and B?
i-th diagonal of A'*B equals dot product of the i-th columns of A and B. Here is a demo showing how to recover only the diagonal...

How to have automated thresholding to deal with disparities between images
Here is a demo that uses automatic multi-level thresholding to isolate the disks: im_files={'https://www.mathworks.com/matl...

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Fit to the experimental plot
Use <https://www.mathworks.com/help/curvefit/fit.html 'fit'> function

ray tracing, indices and path length registration
For 2D reconstruction, the problem can be approached follows: 1) Let's say you have a set of K rays {Rk}, where Rk is k-th r...

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Chan Vese Segmentation mask is not working Properly
Your image appears to be "padded" on the top and bottom with gray values. The transition between the black background (containin...

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How to calculate trace(A' * B) using SVD vectors of A and B?
I am not aware of any identities that can express trace(A'*B) in terms of SVDs of A and B, and I dont think one exists, but ther...

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How to evaluate the angle from an image?

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Does the pca function restrict the number of components to be kept?
The eigenvectors computed by PCA (and its generalized version called probabilistic PCA) only span the subspace of the ambient sp...

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T-Test with covariates?
In medical image processing application <https://en.wikipedia.org/wiki/General_linear_model general linear model> is often used ...

How to calculate the moment of inertia of a convex hull?
Here is a link to a function on FEX that computes inertia tensors of objects represented by triangular surface meshes: https://w...

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Isolating specific dots in an image.

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How to measure the curvature of object boundary?
Thanks for the clarification. If I understand correctly, the features you seek should be extracted from an open-curve that repre...

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How can I transform a coordinates data into another 3-D space?
Code below demonstrates how to obtain rotation matrices between corresponding 3-tupples of non-collinear points in 3-space: ...

3D Coordinates Line of Fit
Hey, David. Here is a demo you may find useful: <</matlabcentral/answers/uploaded_files/122157/best_fit_demo.jpg>> funct...

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re. finding perimeter of a 2D shape
% Contour coordinates A=xlsread('Profgraph.xls','sheet2'); % Compute perimeter N=size(A,1); D=A(:,2:N)-A(:,1:(...

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Fill area with random circles having different diameters
Hopefully this iteration of code (see below) is the last one. % Unconstrained circle packing example. Only centroids constr...

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Fill area with random circles having different diameters
Here is another implementation of random circle packing. This version produces much tighter packing than my previous demo thanks...

Reparameterize 3D points with respect to PCA vector

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Fill area with random circles having different diameters
Here is a demo that uses rejection sampling and Delaunay triangulation <</matlabcentral/answers/uploaded_files/121175/circle_...

Custom Image Spatial Filtering Code using loops not giving the same result as using the built in imtransform() function
Actually, both your 'convolution' function and built-in 'imfilter' function produce very similar results. The discrepancy you we...

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Write a script to calculate the sum of even numbers from between 1 to 1000
Here is the script sum(2:2:1000)

Soften hard constraints in MPC formulated as a QP-problem
You could try using 'fmincon' instead of 'quadprog', which would allow you to incorporate non-linear constraints on your state v...

how can i plot multiple circles in a plot
After you finished plotting, use command axis equal to make aspect ratios of vertical and horizontal axes equal to one ...

Plotting discretized field in 2D
Here is an example: x_lim=[0 20]; x=linspace(x_lim(1),x_lim(2),11); [X,Y]=meshgrid(x); F=randn(size(X)).*X-ran...

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How to solve transcendental equations in matlab
This is a complex-valued function. Just from visual inspection, it is apparent that the real part of this function has infinitel...

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