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astronomy a satellite orbiting earth follows an elliptical path with the center of earth as one focus the eccentricity
the golden gate bridge in san francisco california is a catenary suspension bridge which is very similar in appearance
for the equation of each parabola find the coordinates of the vertex and focus and the equations of the directrix and
transportation a riverboats paddlewheel has a diameter of 12 feet and at full speed makes one clockwise revolution in 2
gardening migina bought a new sprinkler that covers part or all of a circular area with the center of the sprinkler as
find the rectangular equation of the curve whose parametric equations are given then graph the equation using arrows to
even though the graphics hardware can be set to do bilinear reconstruction you can also simulate this process yourself
starting from the previous exercise you will substitute the linear interpolation used in the first part with
implement the arcball and trackball interfaces this can be done either using a quaternion or matrix implementation our
1 given a diffuse wall with constant irradiance from the incoming hemisphere over all points what is the distribution
1 implement a basic ray tracer that shoots one ray out into the scene per pixel and shades the nearest surface point
difference between a static and a final static variable in java unable to differentiate between a final and a final
a variant of the trackball interaction works like this the initial click is at some point p of the image plane the
we implemented the virtual trackball by comparing the current position to the initial position and computing a rotation
write a first-person game controller the game-play area consists of a large room populated by cylindrical poles of
consider a disk of radius s in the plane centered at the origin and the point p 0 0 -h thats distance h below the disk
a planar surface s sits in a room thats bathed in light so that the radiance along every ray arriving at s is the same
we computed the solid angle subtended by a spherical cap of radius ra what is the solid angle subtended by a spherical
we claimed in the chapter that the horizontal projection p to the unit sphere from the vertical cylinder enclosing it
we said that if youre asked to convert a source thats 18 w m-2 sr-1 to nits its impossible suppose you were told in
a suppose that the sensitivities of the receptors in the eye were not shaped like gaussian bumps but were instead
no three-color display can faithfully reproduce all color percepts suppose you wanted to design a three-primary display
its very common to photograph either the moon or a lighthouse being reflected in fairly calm but not completely flat
suppose that tracing a ray in your scene takes time a on average while evaluating the brdf on a pair of vectors takes
our path tracer and photon mapper both assume that all light sources are on the outside-we dont allow for a glowing