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midterm2002 - Name SIMG-782 Introduction to Digital Image...

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Name: SIMG-782 Introduction to Digital Image Processing Midterm Exam October 15, 2002 Closed book and notes. Work all problems. Clearly show your reasoning and identify the solution. 1. An image A , represented by an N × M array of bytes, has a uniform brightness histogram. It is desired transform A into an image B in a way that produces a triangular brightness histogram h b [ k ] = MN 36240 k, 0 k 255 Describe a process that will accomplish the transformation. If possible, derive an equation for the transformation function. At a minimum, sketch the transformation function and indicate how you would use it in a program to compute the array B .
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2. An indexed color image is represented by an 512 × 512 array A of bytes and three color vectors, r , g and b of length 256, also of bytes. (a) Design a computation that can be used to find the total number of colors that are actually used by the image. Describe your reasoning and provide a pseudo-code algorithm.
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