What is d representing here? By offset, does it refers to the distance from the plane to the origin?
borderwing
According to the previous slide, it seems like d here is calculated from point(0, 0, 0)?
Luke
According to my understanding, d is the distance of the plane from the origin. Basically the dot product here is used to calculate the distance of any point p on the plane along the direction of the plane normal.
Ace
We did an example on the board in class, but I'm not sure why you could add the two Ks there.
Max
@helloCrystal @borderwing @Luke We define the plane by (a,b,c,d), where (a,b,c) is the normal vector and d is the offset of the plane from the origin along the normal vector. Hence it is both the distance from the plane to the origin and calculated from (0,0,0), as u.v = d if x=y=z=0.
@Ace K is represented as the matrix in the top right, so you just add the matrices.
What is d representing here? By offset, does it refers to the distance from the plane to the origin?
According to the previous slide, it seems like d here is calculated from point(0, 0, 0)?
According to my understanding, d is the distance of the plane from the origin. Basically the dot product here is used to calculate the distance of any point p on the plane along the direction of the plane normal.
We did an example on the board in class, but I'm not sure why you could add the two Ks there.
@helloCrystal @borderwing @Luke We define the plane by (a,b,c,d), where (a,b,c) is the normal vector and d is the offset of the plane from the origin along the normal vector. Hence it is both the distance from the plane to the origin and calculated from (0,0,0), as u.v = d if x=y=z=0.
@Ace K is represented as the matrix in the top right, so you just add the matrices.