How can I convert a series of 2D images (grayscale) into a 3D image?

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Sterne_17 2023-1-10

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编辑： Sterne_17 2023-2-3

Images_10_01.zip

I have collected a series of images from a line laser hitting a rotating metal sphere with an industrial camera, and processed them accordingly, now keeping a series of images of the outline of the metal sphere (grayscale image). I need to convert this series of 2D images into a 3D image. How do I do this? How do I write the code?

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Walter Roberson 2023-1-10

Please see http://matlab.wikia.com/wiki/FAQ#How_can_I_process_a_sequence_of_files.3F

Sterne_17 2023-1-10

Thanks so much!

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Image Analyst 2023-1-10

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https://ww2.mathworks.cn/matlabcentral/answers/1891700-how-can-i-convert-a-series-of-2d-images-grayscale-into-a-3d-image#answer_1145860

在 MATLAB Online 中打开

You can use cat

image3d = cat(3, image1, image2, image3, image4, image5); % etc.

Or you can do in a loop

image3d = cat(3, image3d, thisImage);

where this image is that particular image, for example read in from a disk file or cell array or whatever.

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Image Analyst 2023-1-11

circlefit.m

@Sterne_17 it's simple geometry. Imagine longitude lines on a globe. Let's call the angle of the longitude line phi with phi=0 where the line is along the far left edge of the sphere. If the line moved to a different longitude line in the middle of the sphere, the x values (only) would be multiplied by cos(phi). So you can divide the x values by cos(phi) to get what they are if they were at the left edge and then you can get the radius by fitting a circle to those points using the attached function. The z value (distance out of the plane) is sin(phi) * radius if you wanted that for some reason. If you don't know phi, you can compute it if you assume that you have a point on the equator. The ratio of the leftmost x in a middle longitude to the very leftmost x when the line is along the far left side of the sphere (you can get both of those x from the image) is cos(phi) so take the arc cosine of the ratio of leftmost x to get the angle.

Sterne_17 2023-1-12

Sir, thank you very much. I will give it a try.

Sterne_17 2023-2-3

编辑：Sterne_17 2023-2-3

Hello sir @Image Analyst.

I am uploading in the attachment the code I used in this project and the image that was used as input, and the final image generated is an image in the 3D coordinate system where I can get the coordinates of the sets of spheres I want.

if I have already got the coordinates of some points on the sphere, I now need to fit a sphere with this function sphere and my goal is to find its radius, how can I do that?

Can you give me an example if you can, I don't really know how to write a complete program.

Thank you so much!

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