Weekly Report (Feb 18)

Hey, Jason here.

This week was uneventful--although I was trying to resolve an issue with the NPC's facing and the Bezier paths, it did not work out.

I uploaded last week's more stable version to our new svn server.

Here is the math I used to make the middle Bezier control point formula--in case someone sees what I missed.

The goal is to complete:

B(t) = (1-t)(1-t)a + t(1-t)b + t*t*c

given that I know B'(t) for t=1 and t=0, a, and c.

I was using the derivative to solve for b because t=0 should be startT and t=1 should be endT:

B'(t) = 2(1-t)(b-a) + 2t(c-b)

startT = 2(b-a)

=> 0 = 2(b-a) - startT

endT = 2(c-b)

=> 0 = 2(c-b) - endT

2(b-a) - startT = 2(c-b) - endT

startT - endT = -2b+2a +2c-2b

startT - endT = 2(a + c) - 4b

4b = 2(a + c) - startT + endT

b = (2(a + c) - startT + endT)/4

I could have made an error on campus--I'll check on it Monday.