problem 1: A company wants to produce a grayscale display with pixels so small that a human will be not able to see the individual pixels under normal viewing conditions.

Illustrate the minimum number of pixels per inch needed to accomplish this? Please state all of the suppositions that you make in computing your answer. It might be useful to know that there are 150 000 cones per square millimeter in the human fovea, and that there are precisely 25.4 millimeters in an inch.

problem 2: If the pixels could be only black or white and grayscale was to be accomplished by half toning, then what would the minimum number of pixels per inch be in order that a human could not see the halftone dots? Again, state any suppositions that you make.

problem 3: The company presently produces a display device with 2-bit grayscale (that is: four different shades of grey). describe an error-diffusion algorithm that will convert an 8-bit grayscale image into a 2-bit image appropriate for display on this device. [Note: the two images should have the similar number of pixels.]

problem 4: Describe that your algorithm works by using the given test image.

problem 5: You are asked to design a 44 ordered dither matrix. What rules must you follow in the design?