Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ In class, we learned about additive and subtractive color mixing. Answer the following questions. No points will be awarded if only the answer is given without correct reasoning.

1. You have a cyan-colored dot (looks cyan in white light) on a paper. If you shine a red torchlight on this dot, what would the dot's color appear to be?

2. If, in addition to the red torchlight, you also shine another yellow torch, what would the dot's color appear to be?

3. If you had a choice of a combination of any two colored torches to shine on the cyan dot, what choices of torches do you have to make it appear yellow?

Suppose we are taking a picture of an object with a 3-CCD camera with color matching filters (CMF) given by matrix [tex]M[/tex]. The values recorded by the camera are used as input to a color projector with primaries matrix [tex]P[/tex].

4. What is the condition that [tex]M[/tex] and [tex]P[/tex] must satisfy to ensure that the colors of the reproduced light look identical to the original colors of the object?

5. Suppose there are two couples of CMF and associated primaries ([tex]M_1, P_1[/tex]) and ([tex]M_2, P_2[/tex]) that satisfy the condition above. Assume that we take a picture with a camera using the CMF [tex]M_1[/tex], and reproduce it with a projector with primaries [tex]P_2[/tex]. What operation do we need to perform on the color vectors acquired by the camera to ensure that the colors are reproduced faithfully?

1. Cyan and red are complementary colors in subtractive color mixing. When a red torch light is shined on the cyan dot, the dot's color would appear to be black. This is because the cyan color absorbs red light, so when red light is shined on it, the dot absorbs all the red light and reflects no light, resulting in a black appearance.

2. When a yellow torch light is also shined on the dot along with the red torch light, the dot's color would appear to be orange. This is because when red and green light (which is a component of yellow light) are combined, they create orange. The red light from the red torch and the green light from the yellow torch combine to create an orange appearance.

3. To make the cyan dot appear yellow, you would need to shine a combination of red and green torch lights on it. This is because when red and green light are combined in subtractive color mixing, they create yellow. The red light and the green light would be absorbed by the cyan dot, while the blue light would be reflected, resulting in a yellow appearance.

4. In order for the colors of the reproduced light to look identical to the original colors of the object, the color matching filters (CMF) given by matrix M and the primaries matrix P must satisfy the condition that the product of M and P is equal to the identity matrix. This ensures that the CMF and primaries cancel each other out, resulting in accurate reproduction of the original colors.

5. If we take a picture with a camera using the CMF M1 and reproduce it with a projector using the primaries P2, we would need to perform a matrix multiplication of the color vectors acquired by the camera with the inverse of M1, and then multiply the result by P2. This operation ensures that the colors are reproduced faithfully by accounting for the transformations between the CMF and primaries used in the camera and projector systems.

TO know more about complementary colors refer to:

https://brainly.com/question/11546061

#SPJ11