UIUC CS 418 Study Guide

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shaders
atomic object of shading 
texture element 
picture element 
volume element 
potential pixel 
hierarchical models
push matrix to enter node, pop matrix to go back up tree 
the whole scene becomes a hierarchical model 
animation
specifying specific scenes and then interpolating the rest 
animation of oject is determined by others nearby it 
vertex attached to multiple joints, etc with weights 
quaternions
4D number 
sqrt( w^2 + x^2 + y^2 + z^2) 
(s*s' - v dot v', v x v' + s*v' + s'*v) 
(s, -v) 
comp(q) / norm(q)^2 
axis u, point p, angle theta -> q = ( cos(theta/2), u * sin(theta/2) ) -> q (0,p) q^-1 -> ? 
q1(q1^-1 * q2) ^ alpha, 0 < alpha < 1 
particle animation
spring and gravity 
surfaces
ax + by + c = 0, for example 
x = t, y = 2t, for example 
type of surface that can be represtented by a 4X4 matrix 
colors
C=A' + (1−alpha)*B' with A' = alphaA*A and B' = alphaB*B 
jaggies 
compute how much of the pixel is covered by the object as use that amount as an alpha value 
eyes can't comprehend motion fast enough that it appears different from what it actually is 
apply a function to make changes to a given one 
the group of pixels used to make a filtering change to a given pixel 
shadows
one side of light source can reach point but the other side can't 
object absorbs some of the light passing through it 
object redirects the light heading towards it 
ray tracing
typical way of tracing from the eye to the light source, instead of from the light to the eye 
method of shooting out rays from the eye, one for each pixel 
ray from a light to surface point, determined by ray casting to be the surface for a given pixel 
a ray algorithm but recursive calls to trace (involves shadows, reflections, and transmissions) 
divide space into cells, remember what geometry is where, to make ray tracing more efficient 
hierarchical bounding volumes, BSP trees, octtrees, and regular 3D grids 
colors
dimension of the space that humans see color in 
cyan, yellow and magenta 
hexcone color space 
s, m and l in our retinas 

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Created Dec 7, 2009ReportNominate
Tags:418, CS 418, guide, study, Study Guide, uiuc