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Home work 2 CSE527

Home work 2 CSE527 - Home work 2 CSE 527 Introduction to...

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ANS (1) (A) The BRDF is constant for a Lambertian surface. The BRDF is defined as the ratio of radiance in the outgoing direction to the incident radiance BRDF = Radiance in Outgoing direction/ Incident Irradiance. It is given that the BRDF is constant . This is when the outgoing radiance is independent of angle. This is the case of ideal diffuse surfaces or Lambertian surfaces . The albedo and the BRDF is related as follows: Р d = pi * Р BRDF So Р BRDF = Р d / pi The maximum value of the albedo can be 1 as the maximum value of sin and cos can be 1 . Hence the maximum value of BRDF is 1/pi AnS (B) The surface absorbs 20 % incident and reflects 80 % . So out of the 100 percent incident radiation , only 80 percent is outgoing radiation. Hence Albedo (Р d ) = 80/100 = 0.8 BRDF = 0.8 / pi AnS Ans (2) Given a) Shape of the Umbra : Square : square source and square occluder. Both are parallel to a plane and hence parallel to each other. They are vertically one another with their centers aligned.

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Home work 2 CSE527 - Home work 2 CSE 527 Introduction to...

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