As he is leaving the terrace, the dazzling light of the terrace's angel causes Dante to reveal his scientific knowledge, observing that the angle of incidence is equal to the angle of reflection " as theory and experiment will show " ( Canto XV ).
32.
When the angle of reflection is close to the angle at which the light's rays hit the surface ( that is, when the sun and the object are close to opposition from the viewpoint of the observer ), this intrinsic brightness is usually close to its maximum.
33.
We do that because for most materials, the light that's " specularly " reflected ( like a mirror-angle of incidence equals angle of reflection . . . roughly ) takes on the color of the light source and has more or less nothing much to do with properties of the object.
34.
The rope stretchers of ancient Egypt stretched corded ropes between two points to measure the path which minimized the distance of separation, and Claudius Ptolemy, in his angle of incidence equals the angle of reflection; and Hero of Alexandria later showed that this path was the shortest length and least time.
35.
If the angle of reflection equals the angle of incidence, how come my infrared temperature sensor, the gun shaped kind bought at Home Depot that shoots out an infrared beam, can get a reflection back into its sensor no matter what angle at which I point to the surface I want to measure?
36.
Again, Angle of incidence = Angle of Reflection, and the local frame of refrence is all consistant, except for the edegs of the mirror . . . There you may only see some of the paths . . . Thought experment . . . what would happen if you gathered edges of mirrors together?
37.
But the math that determines how light reflects off of shiney objects entails taking the direction of the incoming light, the surface direction and the direction of the eye / camera, then you calculate the cosine of the difference between the angle of incidence and the angle of reflection and raising it to the power of the shininess factor.
38.
In a final, production quality rendering of a ray traced work, multiple rays are generally shot for each pixel, and traced not just to the first object of intersection, but rather, through a number of sequential'bounces', using the known laws of optics such as " angle of incidence equals angle of reflection " and more advanced laws that deal with refraction and surface roughness.
39.
A line is then launched from the origin at some angle, reflected off of each line segment at a right angle ( not necessarily the " natural " angle of reflection ), and refracted at a right angle through the line through each segment ( including a line for the zero coefficients ) when the angled path does not hit the line segment on that line.
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