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Subject: 
Re: Math Help Needed PLEASE
Newsgroups: 
lugnet.cad.dev
Date: 
Mon, 19 Jun 2000 12:45:55 GMT
Viewed: 
548 times
  
In lugnet.cad.dev, Michael Lachmann writes:
Hy,

I'm running into math problems again, after I recogniced whats the problem
with the movements in MLCad. Now here is what I would like to do:

There is a virtual grid which is bound to a part. The distance of the grid
lines is given by a vector 'GRID' [x-spacing, y-spaceing, z-spacing] (e.g.
default for coarse grid [10, 8, 10]. This grid rotates together with the part
so a rotation-matrix 'RM' is available. I assume the origin of the grid to be
the same as the origin of the part and the offset is a vector 'OFF'.
Now the user views the part (and invisible) the virtual grid seen from a
certain side given by the view-rotation-matrix 'VM'. If this matrix is [1,0,0
0,1,0 0,0,1] the part and grid is show from FRONT.

The user can move the move the part in x and y direction (which actual axes
depend on the view-rotation-matrix). I need to know where is the nearest point
on the grid for a given screen point 'PS' [x, y, z] (translated into model
space already)

I sum. everything now:

Given is a vector 'GRID', a rotation matrix 'RM' (for part and grid), a view-
rotation-matrix 'VM' and a screen point 'PS'.

Searched the snapped screen point 'SPS' which is snapped to the nearest grid
point.


Transform PS from model space to unrotated part space.
Round the x, y, z values to the nearest grid points.
   (add half a grid size, divide by grid size, multiply by grid size)
Transform PS back to model space.

I think this algorithm may be covered by the GPL though.  You'll have to
publish your source if you use it ;-)

Don



Message has 1 Reply:
  Re: Math Help Needed PLEASE
 
How embarrassing. Please ignore my previous post. Apparently Lars beat me to it and even brought up a point I missed. Now I have to go figure out how to retract a message. Don (24 years ago, 19-Jun-00, to lugnet.cad.dev)

Message is in Reply To:
  Math Help Needed PLEASE
 
Hy, I'm running into math problems again, after I recogniced whats the problem with the movements in MLCad. Now here is what I would like to do: There is a virtual grid which is bound to a part. The distance of the grid lines is given by a vector (...) (24 years ago, 19-Jun-00, to lugnet.cad.dev)

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