Matlab SURF points to pixel coordinates - matlab

I want to extract (x,y) pixel coordinates out of the SURF points returned, as an example in the example provided here using Matlab. It is clear that using 'ptsIn(1).Location' I can return the (x,y) coordinates of the point. But the points retuned included some decimal points as well, as an example (102.9268, 51.7285). Is there any way to convert this to pixel positions in the image plane, or just averaging these values will give the pixel positions? Thank you.

To understand it further I tried the following code in this link.
% Extract SURF features
I = imread('cameraman.tif');
points = detectSURFFeatures(I);
[features, valid_points] = extractFeatures(I, points);
% Visualize 10 strongest SURF features, including their
% scales and orientation which were determined during the
% descriptor extraction process.
imshow(I); hold on;
strongestPoints = valid_points.selectStrongest(10);
strongestPoints.plot('showOrientation',true);
Then, tried the command strongestPoints.Location in the Matlab console, which returned the following (x,y) coordinates.
139.7482 95.9542
107.4502 232.0347
116.6112 138.2446
105.5152 172.1816
113.6975 48.7220
104.4210 75.7348
111.3914 154.4597
106.2879 175.2709
131.1298 98.3900
124.2933 64.4942
Since there is a coordinate (107.4502 232.0347), I tried to mark the row 232 as black (I(232,:)=0;) to see whether it matches 232.0347 y coordinate in the SURF point, and received the following figure. So it seems rounded values of the SURF points give the (x,y) pixel coordinates of the image.

Related

How to programatically process the image to black and white and separate out the polygon

I have an image that represents a polygon.
I want to process it in matlab and generate the image below.
Basically i am asking to separate the polygon from the rest of the image out. This question got inspired here.
We only interested in the red pixels we can use the first channel(Red) to extract coordinates centroid of each scaled pixel. Since there may be slight differences between the same coordinates we can use third output of the uniquetol function to convert absolute coordinates to relative coordinates then use accumarray to convert coordinates to a binary image.
[a,m]=imread('KfXkR.png'); %read the indexed image
rgb = ind2rgb(a,m); %convert it to rgb
region = rgb(:,:,1)>.5; %extract red cannel convert to binary to contrast red pixels
cen = regionprops(region,'Centroid'); %find absolute coordinates of centeroid of each pixel
colrow = reshape([cen.Centroid],2,[]); %reformat/reshape
[~,~,col] = uniquetol(colrow(1,:),0.1,'DataScale',1); %convert absolute coordinated to relative coordinates correcting possible slight variations
[~,~,row] = uniquetol(colrow(2,:),0.1,'DataScale',1);
result = accumarray([row col],1); %make the binary image from coordinates of pixels
imwrite(result,'result.png')
Scaled result:
Unscaled:
I think function contourc will get the ploygon:
C = contourc(img, [1 1]); % img is 2-D double in range [0 1]
The format of output C is a little tricky. But for one level contour, it should be easy. You can read the documentation for contourc to construct the polygon.

How can I create a slice of a surface plot to create a line? (Matlab)

Given some function z = f(x,y), I'm interested in creating a (1D) line plot along an arbitrary cutting plane in x,y,z. How do I do this in Matlab? Slice, for example, provides a higher dimensional version (colormap of density data) but this is not what I'm looking for.
E.g.:
z = peaks(50);
surf(z);
%->plot z along some defined plane in x,y,z...
This has been asked before, e.g. here, but this is the answer given is for reducing 3D data to 2D data, and there is no obvious answer on googling. Thanks.
If the normal vector of the plane you want to slice your surface will always lay in the xy plane, then you can interpolate the data over your surface along the x,y coordinates that are in the slicing line, for example, let the plane be defined as going from the point (0,15) to the point (50,35)
% Create Data
z=peaks(50);
% Create x,y coordinates of the data
[x,y]=meshgrid(1:50);
% Plot Data and the slicing plane
surf(z);
hold on
patch([0,0,50,50],[15,15,35,35],[10,-10,-10,10],'w','FaceAlpha',0.7);
% Plot an arbitrary origin axis for the slicing plane, this will be relevant later
plot3([0,0],[15,15],[-10,10],'r','linewidth',3);
Since it is a plane, is relatively easy to obtain the x,y coordinates alogn the slicing plane with linspace, I'll get 100 points, and then interpolate those 100 points into the original data.
% Create x and y over the slicing plane
xq=linspace(0,50,100);
yq=linspace(15,35,100);
% Interpolate over the surface
zq=interp2(x,y,z,xq,yq);
Now that we have the values of z, we need against what to plot them against, that's where you need to define an arbitrary origin axis for your splicing plane, I defined mine at (0,15) for convenience sake, then calculate the distance of every x,y pair to this axis, and then we can plot the obtained z against this distance.
dq=sqrt((xq-0).^2 + (yq-15).^2);
plot(dq,zq)
axis([min(dq),max(dq),-10,10]) % to mantain a good perspective

Get coordinates of inlier points in Matlab

I need to find pixel values of inlier points obtained in object detection using impixel(). I am using the same code as provided in the example at the link
How can I get x,y coordinates of the inlier points being with respect to image dimensions.(Top-left corner of image considered as 0 row, 0 col) so that I can use the coordinates to find their respective pixel values. I couldn't find any solution in Matlab same as KeyPoint object in C++ that gives coordinate values easily.
You do not need impixel here. impixel lets you get the pixel value from in image displayed in a figure, which is not what you are trying to do.
In the example you are using, inlierBoxPoints and inlierScenePoints are SURFPoints objects. You can get the (x,y) locations of the points as inlierBoxPoints.Location. Then you can get the pixel value for the i-th point as follows:
loc = round(inlierBoxPoints.Location(i, :));
pixVal = boxImage(loc(2), loc(1), :);
Keep in mind that in MATLAB the images are indexed as (row, col), and that the top-left corner pixel is (1,1), not (0,0). You have to round off the coordinates, because the points are detected with sub-pixel accuracy.

Plotting a rectangular matrix into a circle

I have generated a rectangular matrix with the azimouth angle changing with rows and the radius changing as you change column. These are meant to represent the relative velocities experienced by a rotating helicopter blade. This produces a matrix called Vmat. I want to plot this to appears in a circle (representing the rotation of the blade)
So far I have tried
[R,T] = meshgrid(r,az);
[x,y] = pol2cart(T,R);
surf(x,y,Vmat(r,az));
which should produce a contoured surface showing velocity as it changes with azimouth angle and radius but it comes up with dimension errors.
I don't mind if it is a 2d contour plot or 3d plot i guess both would be written in a similar way.
Thanks
James
The error is in writing Vmat(r,az), presuming that these are actual values of radius and azimuth, not indexes into your radius and azimuth. If you want to take only a subset of Vmat that's a slightly different matter, but this should work:
[R,T] = meshgrid(r,az); % creates a grid in polar coordinates
[x,y] = pol2cart(T,R); % changes those to cartesian for surf
surf(x,y,Vmat);
Alternatively you could do a contour plot:
h = polar([0 2*pi], [0 max(r)]); % set up polar axes with right scale
delete(h) % remove line
hold on
contour(x,y,Vmat);

turn scatter plot into area plot

I have a 2D scatter plot in MATLAB. Is it possible to interpolate the scatter plot to create an area plot?
If you're simply trying to draw one large filled polygon around your entire set of scattered points, you can use the function CONVHULL to find the convex hull containing your points and the function PATCH to display the convex hull:
x = rand(1,20); %# 20 random x values
y = rand(1,20); %# 20 random y values
hullPoints = convhull(x,y); %# Find the points defining the convex hull
patch(x(hullPoints),y(hullPoints),'r'); %# Plot the convex hull in red
hold on; %# Add to the existing plot
scatter(x,y); %# Plot your scattered points (for comparison)
And here's the resulting figure:
Scatter is generally used to represent data where you can't use a line graph, i.e., where each x might have many different y values, so you can't convert directly to an area graph--it would be meaningless. If your data actually is representable as a line graph, then pass it to area directly.
So I'm not quite sure what you want, but here are some possibilities:
You could create a Voronoi diagram based on your points. This will show a region near your points showing which points are closer to a specific point: voronoi(x,y), or see the help.
You could bucket or quantize your data somehow, making it fit into a grid, and then plot the grid. This could also be considered a histogram, so read up on that.
You could just use larger scatter markers (scatter(x,y,scale) where scale is the same dimensions as x and y).