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Question No. 1

In rgb model we simulate the entire visible spectrum by three colors with a limited range. Suppose a light coming from a particular source and is represented as follows.

 

Light color id = [0.32456, 0.36211, 0.21458]

 

Surface color is represented with the following rgb values.

 

Surface color Cs = [0.22456, 0.46211, 0.25458]

 

You are required to calculate the color combination of this surface from a given light by using piecewise multiplication of the color values. 

 

id * Cs =?

Question No. 2

Suppose a light source that illuminates the particular surface resulted in by summing up the source and surface color for the contribution of final color. While dealing with saturated color there may be a case for too much contribution to a color. Discuss the strategies for dealing with oversaturated color with the help of an example.

 

Question No. 3

Given are the points that lie on a plane P,                       

P1<2.0,5.0,6.0>

P2<3.0,4.0,5.0>

P3<4.0,3.0,4.0>

You are required to find the equation of a normal to the plane P.

Submission

You are required to submit your solution in MS Word document.

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Question No. 1
In rgb model we simulate the entire visible spectrum by three colors with a limited range. Suppose a light coming from a particular source and is represented as follows.

Light color id = [0.32456, 0.36211, 0.21458]

Surface color is represented with the following rgb values.

Surface color Cs = [0.22456, 0.46211, 0.25458]

You are required to calculate the color combination of this surface from a given light by using piecewise multiplication of the color values.

=?

Answer:
= Light color id Surface color Cs
= [0.32456, 0.36211, 0.21458] [0.22456, 0.46211, 0.25458]
= [(0.32456) (0.22456), (0.36211) (0.46211), (0.21458) (0.25458)]
= [0.07288, 0.16733, 0.05463]

Question No. 2
Suppose a light source that illuminates the particular surface resulted in by summing up the source and surface color for the contribution of final color. While dealing with saturated color there may be a case for too much contribution to a color. Discuss the strategies for dealing with oversaturated color with the help of an example.

Answer:

The results of three strategies for dealing with the same over saturated color. As we can see, we get three very different results. In terms of perceived color, the scaled is probably the closest though it's darker than the actual color values? If we weren't interested in the color but more in terms of saturation, then the clipped color is closer. Finally, the clamped value is what we get by default, and as you can see, the green component is biased down so that we lose a good sense of the "greenness" of the color we
we’re trying to create.

Question No. 3
Given are the points that lie on a plane P, 
P1<2.0,5.0,6.0>
P2<3.0,4.0,5.0>
P3<4.0,3.0,4.0>
You are required to find the equation of a normal to the plane P.

Answer:

The Normal to the Plane these 3 Points Define is

Normal = (P1 - P2) x (P3 - P2)

= (<2.0, 5.0, 6.0>-<3.0, 4.0, 5.0>)×(<4.0, 3.0, 4.0>-<3.0, 4.0, 5.0>)
= (.1, 1, 1) × (1, -1, -1)
= (-1, -1, -1)

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