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

Communication of request/response - procedural interaction, Explain the Com...

Explain the Communications of Request/Response Communications requirements for message or procedural- based interaction are very similar. Application interaction (client-server

What are the authentication methods in .net, What are the authentication me...

What are the authentication methods in .NET?   1. WINDOWS AUTHENTICATION 2. FORMS AUTHENTICATION 3. PASSPORT AUTHENTICATION The authentication option for the ASP.N

Binary search, Binary Search Now that the basic framework is working, ...

Binary Search Now that the basic framework is working, it is time to begin implementing a few alternative search functions. Each of these search algorithms have strengths and

Constructor, what is meant by private copy constructor

what is meant by private copy constructor

4 bit comparator, how to breadboARD THE 4 BIT COMPARATOR

how to breadboARD THE 4 BIT COMPARATOR

Block format and disk layout on cd-rom, Q. Block Format and Disk Layout on ...

Q. Block Format and Disk Layout on CD-ROM? A typical block format is displayed in Figure (a). It comprises the subsequent fields: Sync: Sync field identifies beginning o

What is semaphores, What is semaphores?  A semaphore 'S' is a synchroni...

What is semaphores?  A semaphore 'S' is a synchronization tool which is an integer value that, apart from initialization, is accessed only by two standard atomic operations; wa

Explain clone process, Explain Clone process. A clone process is genera...

Explain Clone process. A clone process is generated using primitive type clone by duplicating its parent process. However unlike traditional processes it might be share its con

Search mechanisms in prolog - artificial intelligence, Search mechanisms in...

Search mechanisms in Prolog We can utilize this simple Prolog program to describe how Prolog searches: president(X) :- first_name(X, georgedubya), second_name(X, bush). p

What is called all exceptions in java, Al l exceptions in Java are subclass...

Al l exceptions in Java are subclasses of built in class called? Each exception in Java are subclasses of make in class termed as Throwable.

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