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

Derivatives and applications of derivatives, What can you say about the exi...

What can you say about the existence of a stationary point in the interval [ 1; 3] for the function f (x) = x 2 2x 3.

What is control panel, A system utility that comes with Windows that permit...

A system utility that comes with Windows that permits the use to change a variety of dissimilar Windows and system settings.

Online teaching jobs, Dear, I''m an engineering post graduate in computer s...

Dear, I''m an engineering post graduate in computer science. I would like to work as online tutor. please suggest ideas. Thank You.

Determine the binary equivalent of hexadecimal FA, The binary equivalent of...

The binary equivalent of (FA) 16   is ? Ans. (FA) 16 = (11111010) 10

The events of an aspx page execute, In what order do the events of an ASPX ...

In what order do the events of an ASPX page execute. As a developer is it important to understand these events?   If you try to access it in Page_Load that is way previous th

What is the role of ir and pc, What is the role of IR and PC?  Instruct...

What is the role of IR and PC?  Instruction Register (IR) having the instruction being implemented. Its output is available to the control circuits, which make the timing signa

What are the types of assemblies, There are two types of assemblies:- 1...

There are two types of assemblies:- 1. Private Assemblies 2. Shared Assemblies

What are types of firewalls, What are types of firewalls? There are con...

What are types of firewalls? There are conceptually two types of firewalls as: 1. Network Level 2. Application Level

What are the elements of analysis model, What are the elements of Analysis ...

What are the elements of Analysis model? i. Data Dictionary ii. Entity Relationship Diagram iii. Data Flow Diagram iv. State Transition Diagram v. Control Specifica

Assembly language programming, I need help to create test cases for the MIP...

I need help to create test cases for the MIPS Instruction set architecture

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