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 object orientation, What is object orientation? Object orientat...

What is object orientation? Object orientation means that we classify software as a collection of discrete objects that incorporate with together DS and behaviour. Four aspe

Evaluate - 48 - 23 by using the 2's complement method, Perform the - 48 - 2...

Perform the - 48 - 23 operations using the 2's complement method. Ans. - 48 - 23 = - 48 + (-23)     -48     =  1 1 0 1 0 0 0 0     -23     =  1 1 1 0 1 0 0 1       = -71

Programmed input - output technique for computers, Q. Programmed input - ou...

Q. Programmed input - output technique for computers? Programmed input/output is a useful I/O technique for computers where hardware costs need to be minimised. Input or output

Uneven load distribution in parallel computers, Q. Uneven Load Distribution...

Q. Uneven Load Distribution in parallel computers? In parallel computers the problem is split in sub-problems in addition is assigned for computation to several processors howe

What is page fault, What is page fault? Its types? Page fault refers to...

What is page fault? Its types? Page fault refers to the situation of not having a page in the major memory when any process references it. There are two kinds of page fault :

What is hard drive interface, Q. What is Hard Drive Interface? Secondar...

Q. What is Hard Drive Interface? Secondary storage devices need a controller to proceed as an intermediary between device and rest of the computer system. On some computers the

Host cache agents, Your task is to program software agents able to send and...

Your task is to program software agents able to send and receive messages according to the two Gnutella protocols above. Your solution should have two types of agents:   A

Address translation with dynamic partition, Address translation with dynami...

Address translation with dynamic partition : Given figure shows the address translation process with dynamic partitioning, where the processor provides hardware support for

What are priority queues, What are priority Queues? There are many queu...

What are priority Queues? There are many queues in which we can insert items or delete items from any of the position based on some property. Now, those queues based on the pro

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