How can I transform a sphere with associated values to a arbitrary shape?

I am trying to make a "device" that can scan the temperature of an object with a infrared thermometer.

The device is build so that the object is lying in the center and the "robot" is then scanning the temperature of the object, while rotating the object.

This gives me a list of x,y,z coordinates and the measured temperature.

The way the device is built the x,y and z coordinates follow the surface of a sphere.

I can then take these measurements and make a plot, showing the temperature as a sphere.

My problem is then that i would like to "transform" this sphere to the shape of my scanned object.

The object im scanning has a step/stl file, and i was hoping i could be able to "shrink wrap" my sphere around the model.

Think like deflating a baloon with a abject inside.

I hope that my question makes sense.

Best regards

Marcus

Answer 1

[Hiro Yoshino]

I did not really get what you're trying to do but it has something to do with the coordinate transformation?

https://www.mathworks.com/help/robotics/coordinate-system-transformations.html

This can be a help.

The best way to raise questions here in MATLAB Answers is converting your questions into something generic so anyone can understand where you get stuck technically/mathematicall.

[Marcus Nilsen]

Thank you for your reply!

After rereading my post I can se that it is quite confusing.

My question is this:

I now have long list of measurements. Each measurement is taken on a point on the surface on a sphere.

I can plot a sphere i matlab, where my temperature measurement can be visualized as the color.

This gives me a sphere, where a red color is a warm temperature and blue is cold.

This is all fine and dandy, but now i would like to transform this sphere to the form of the object I scanned, but keeping the color the same.

So my problem is that i would like to transform a sphere with a specific color to another shape, and keeping the color pattern the same.

But I have no idea about where to start looking for this.

I hope this is formulated better.

[Hiro Yoshino]

I got you.

This is the one that combines "color" and "3D map":

https://www.mathworks.com/help/matlab/ref/surf.html#bvgppvs-C

You can use your temperature for the argument C.

Also you can make your colormap from your data easily by using this tool:

https://www.mathworks.com/help/matlab/ref/colormapeditor.html

[Marcus Nilsen]

Thanks for the quick reply!

It looks helpful :-)