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

In summary, the person is trying to find a way to convert 3D coordinates into a 2D orthographic projection using an algorithm or formula. The suggestion is to take a new set of 3D basis vectors and convert the existing coordinates to this new basis by using dot products and dropping the normal values.
  • #1
rollcast
408
0
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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  • #2
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.
 

What is the formula to convert 3D coordinates into 2D orthographic coordinates?

The formula to convert 3D coordinates into 2D orthographic coordinates is (x,y) = (x,z). This means that the x and y values in the 2D coordinate system are equal to the x and z values in the 3D coordinate system.

Why do we need to convert 3D coordinates into 2D orthographic coordinates?

In 3D space, objects can have depth and be viewed from different angles. Converting to 2D orthographic coordinates allows us to represent the object on a flat surface, making it easier to visualize and manipulate.

What is the difference between 3D coordinates and 2D orthographic coordinates?

3D coordinates have three values (x, y, z) that represent the position of a point in 3D space. 2D orthographic coordinates only have two values (x, y) and represent the projection of that point onto a 2D plane.

Can the formula for converting 3D coordinates into 2D orthographic coordinates be applied to any object?

Yes, the formula can be applied to any object in 3D space. However, the resulting 2D orthographic coordinates may not accurately represent the object's shape and size due to perspective distortion.

Are there other methods for converting 3D coordinates into 2D orthographic coordinates?

Yes, there are other methods such as using a projection matrix or rotation and translation transformations. These methods can provide more accurate representations of the object in 2D space.

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