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

State the approaches to organizing stored program control, Determine the ap...

Determine the approaches to organizing stored program control There are 2 approaches to organizing stored program control: 1.  Centralized: In this control, all control equi

How does output caching work in asp.net, How does output caching work in AS...

How does output caching work in ASP.NET?    Output caching is a powerful method that enhances request/response throughput by caching the content generated from dynamic pages. O

Explain documentation libraries, The documentation rules are almost exactly...

The documentation rules are almost exactly the similar as for Scripts "Documenting scripts". Although from a technical point of view it is feasible to place measures in libraries i

What are the functions of virtual file system, What are the functions of vi...

What are the functions of virtual file system (VFS)? a. It splits file-system-generic operations from their implementation explaining a clean VFS interface. It allows transpare

Elaborate state space search briefly, Artificial Intelligence 1. Explai...

Artificial Intelligence 1. Explain about artificial intelligence? What are the achievements of AI? 2. Elaborate state space search briefly. 3. Prove that A* is optimal.

Cohesion, Identify the type of cohesion in the following statements: 1. ...

Identify the type of cohesion in the following statements: 1. Compute average daily temperatures at various sites 2. Initialize sums and open files 3. Create new temperature rec

Describe the working of CRT in detail, Describe the Working of CRT The ...

Describe the Working of CRT The electron beam produces a tiny, bright visible spot when it strikes the phosphor-coated screen. A colour CRT monitor has three different coloured

How many times browser on each computer has contacted server, Write a CGI p...

Write a CGI program that displays a count of how many times a browser on each computer has contacted the server. echo Content -type: text /html echo N=$QUERY_STRING Ec

What is scsi, What is SCSI? Ans: It is the acronym for small computer s...

What is SCSI? Ans: It is the acronym for small computer system interface. It refers to a standard bus explained ANSI. Devices such as disks are linked to a computer via 50-wire

How many instructions in a computer, Q. How many instructions in a Computer...

Q. How many instructions in a Computer? A computer can have a vast number of instructions and addressing modes. Older computers with the growth of Integrated circuit technolog

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