3. Scaling

to hit our design goal given to us from the story Department will also have to resize objects in our scene for example I can put Buzz into the shot but he's clearly not the size indicated in the sketch we can change the size of Buzz say making him twice as big by using the scaling operation to scale the object to twice its initial size I have to multiply the coordinates of each point in the object by a factor of 2 as before with translation I can pick any initial point call its coordinates X 0 and y 0 after scaling it becomes a point x1y1 this formula shows that the coordinates of each point gets multiplied by two more generally making something s times as big means multiplying by s if s is larger than 1 things get bigger and if s is less than 1 but still positive things get smaller we can summarize this by saying that the mathematics of scaling is multiplication if the scaling factor in X is bigger than the one in Y I stretch the object out horizontally think about what would happen if the y factor is bigger than X also think about what would happen if s is negative we generally need to both scale and translate objects to put them where we want I've already scaled the luxo ball so I can position it using translation again as I click on an initial position you can see where that point goes once it's gone through both operations the formulas tell us that two operations are being performed in this next exercise your assignment is to add to the shot you created in the last exercise by adding objects that require both translation and scaling operations remember if they require rotation you shouldn't place them in the shot just yet take your time but honestly the animation Department has been waiting for this shot for like two weeks so see in 10 minutes