ASM chapter 25 question 9

[matamagato]

i dont understand this. for some reason the answer doesnt make sense to me, can someone help me out with this please.

the answer shows the linear interpolation but i dont see how it was derived.

k12(15) = 0.08
k16(15) = 0.16
k17(15) = 0.12
k19(15) = 0.04

this is the part that bothers me

[Hawkeye16]

Originally Posted by matamagato

i dont understand this. for some reason the answer doesnt make sense to me, can someone help me out with this please.

the answer shows the linear interpolation but i dont see how it was derived.

k12(15) = 0.08
k16(15) = 0.16
k17(15) = 0.12
k19(15) = 0.04

this is the part that bothers me

Okay, it is a triangular kernel with b=5. So the base of the triangle centered at 15 is 10 with height .2 (since needs to have area = 1).
At point 12 there is a height of .08 (linear interpolate from 0 at 15 - 5 = 10 to a height of .2 at 15).
Thus k_12(15) = .08.
Repeat for all points within 5 of 15.

[matamagato]

thanks, i forgot to update this. i figured it out haha