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How to draw 3D graphics (no shading) on GLCD using microcontroller?

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matrixofdynamism

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3D graphics are based on point from which lines are made and then surfaces are where these lines form closed loop, these surfaces can then be shaded depending on the user perspective.

I am aware that OpenGL is the goto place for a complete 3D solution. However, I want to write a simpler program that can draw and rotate simpler shapes on a graphic LCD and rotate and shift them. Shadding is not required. These would be 3D polygons with may be a dozen or two points.

What resource can give me the information I need to understand how to achieve this?

The specification for the microcontroller is not important at this stage, nor is the GLCD resolution. I need to understand the theory first.
 

  • Define 3D points {x,y,z} and lines between them.
  • Convert to polar coordinate system, r, theta, phi
  • adjust scale of r. and reference offset in same coordinates as user input, to change point of view and object centre using polar coordinates.
  • Convert back to 2D and display all points and lines.
  • To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) :

    • x = r × cos( θ )*cos(phi)
    • y = r × sin( θ )*sin((phi)
    • theta and phi are elevation and rotation angles.
 
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