Algorithms, Computer Engineering

Assignment Help:
Design an algorithm (using pseudocode) that takes in as an input, two 2-D int arrays that are assumed to be 2 black-and-white images: initialImage x, whose dimensions are IxJ, and finalImage y, whose dimensions are IxK. The algorithm will compare x to the y, row-by-row, as defined below. Your algorithm will employ a dynamic programming scheme to compare X to Y identifying the minimal difference between each row.

Because you are working with black-and-white images only, you should assume that each image is a 2-D int array consisting of 2 possible values: 0 or 1, where 0 represents black and 1 represents white. Thus, this 2-D grid of 0 and 1 values comprise a 2-D black-and-white image. Each row of this image is then simply a 1-D int array filled with either 0s or 1s. Therefore, you must define how you will measure the difference between the strings of 0s and 1s in each row.

Remember that you will do the comparison one row in the images at a time.

First, compare X1,* to Y1,*. (Here X1,* is the first row in image X and Y1,* is the first row in image Y ). Next, compare X2 to Y2... Each one of these comparisons will require the construction of a D (distance) matrix.

In the following example, the first row of X is X1,*, and the first row of Y is Y1,* = 00110.



Use the following recurrence relation to develop your pseudocode:



After the D matrix is completed, the minimum number in the bottom row is the minimal mismatch for this row. You will assign this value to the variable minVali. This number tells how different row X1,* is from row Y1,* . You will then repeat this comparison for all rows i and aggregate the difference when complete into variable totalDifference = Si minVali.

As a result, the algorithm will compare the total difference to a threshold value called thresh. If total value is above the threshold, the images are declared different, otherwise they are declared to be similar images. You can assume that the thresh variable is supplied as an input to your algorithm.

Part 1

Create a portfolio that includes all previous IPs.

Part 2a:

Design pseudocode for the image comparison algorithm discussed above, given input Images X, Y, and thresh. The output is a declaration: The images are similar, or the images are different.

Part 2b:

Discuss the optimality of the dynamic programming solution. Discuss the time complexity of this algorithm in terms of the size of the inputs X and Y.

Related Discussions:- Algorithms

What is a reference string, What is a reference string? An algorithm is...

What is a reference string? An algorithm is evaluated by running it on a exacting string of memory references and computing the number of page faults. The string of memory refe

What is deadlock in operating system, Explain Deadlock in operating system ...

Explain Deadlock in operating system ? Deadlock: all process in a set of processes is waiting for an event which only a process in the set can cause.

What are privileged instructions, What are privileged instructions?  So...

What are privileged instructions?  Some of the machine instructions that might cause harm to a system are designated as privileged instructions. The hardware permits the privil

Explain differences between folded and non-folded network, Explain differen...

Explain differences between folded and non-folded network. Folded network: While all the inlets/outlets are connected to the subscriber lines, the logical connection shows as

Which rule is used for the expansion of nested macro calls, The expansion ...

The expansion of nested macro calls done by using of? Ans. LIFO rule is used for the expansion of nested macro calls.

What is e-brokerage, What is e-brokerage? E-brokerage is an investment ...

What is e-brokerage? E-brokerage is an investment house that permits you to buy and sell stocks and get investment information from its Web site.

Write a recursive algorithm, Write a recursive algorithm to count the numbe...

Write a recursive algorithm to count the number of right children in a binary search tree. Write the method levelCount whose header is given below. Method levelCount returns

How do you traverse a btree in backward in-order, Put the node in the right...

Put the node in the right subtree Then, Put the root  Put the node in the left subtree

Interrupt handling - computer architecture, Interrupt handling: Handlin...

Interrupt handling: Handling Interrupts  Several  situations where the processor should avoid interrupt requests Interrupt-enable Interrupt-disable  Typical

Illustrate the system architecture, Question: a) Explain why pervasive...

Question: a) Explain why pervasive computing can be termed as a "technology that disappears". b) List and describe four main components of a MOTE used in Wireless Sensor N

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd