Formula to convert 3d co ords. into 2d orthographical co ords.

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SUMMARY

The discussion focuses on converting 3D coordinates into 2D orthographic projections using a mathematical approach. AL suggests utilizing a new set of 3D basis vectors aligned with the projection plane, specifically two in-plane vectors and one normal vector. By applying the dot product to each 3D coordinate with these basis vectors, the components in the desired directions can be extracted, allowing for the elimination of the normal values to achieve the 2D projection.

PREREQUISITES
  • Understanding of 3D coordinate systems
  • Familiarity with vector mathematics
  • Knowledge of dot product calculations
  • Concept of orthographic projection
NEXT STEPS
  • Research the mathematical principles of orthographic projection
  • Learn about basis vectors and their applications in 3D transformations
  • Study dot product and its role in vector projections
  • Explore algorithms for converting 3D coordinates to 2D representations
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Mathematicians, computer graphics developers, and anyone involved in 3D modeling or rendering who needs to understand the conversion of 3D coordinates to 2D orthographic projections.

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I have been trying to find out if this is possible and can't find anything, probably I'm not using the right maths terminology to get it.

What I want to be able to do is to take a set of 3d co ordinates and then use some sort of algorithm, formula or similar to convert these into a 2d orthographic projection.

Thanks
AL
 
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Take a new set of 3D basis vectors with respect to your projection plane(two in-plane and one normal to the plane). Convert your existing coordinates to this new basis(dot product each vector with the new basis vector to get the component in that direction). Then drop the normal values.
 

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