Hi, uhh.. I hope this is the right forum for this question. I just started Linear Algebra and I am having a slight difficulty in understanding this example from the book.
In order to position our object into the global system so that it fits into a box with lower left corner (min1,min2) and upper right corner (max1,max2) we must assign the coordinates (u1,u2) in the local system the corresponding target coordinates (x1,x2) in the global system. This correspondence is characterized by preserving each coordinate value with respect to their extents.
and then formulas are given.
[ (u1 - 0) / (1 - 0) ] = [ (x1 - min1) / (max1 - min1) ]
[ (u2 - 0) / (1 - 0) ] = [ (x2 - min2) / (max2 - min2) ]
From what I understand, you take the min / max coordinates of the object in its local system and then assign them to the target coordinates in the global system? I also am not sure what "preserving each coordinate value with respect to their extents" means either.
Could someone kind of explain this better to me? I am not really understanding it from the example given..