Generating images of 3D array from any point of view

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I have a 3D array representing a 3D object (x,y,z). The values stored in the array are RGB colors. Is it possible to generate an image of the object from any given point of view?

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That is certainly possible. The keywords here are transformation and projection, basically you define a point for every (3D) Pixel inside your array. Then you multiply all the points with a bunch of matrices and get a 2-dimensional result.

Here is an article about how OpenGL does it's transformations: http://www.songho.ca/opengl/gl_projectionmatrix.html

You could mimic the whole pipeline in C++ to produce a bitmap on your CPU or use OpenGL directly which would be a thousand times faster. When using OpenGL you could also view your model in realtime from all sides, but that would essentially be a full 3D-Application.