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

Explain assembly language, Explain Assembly Language This is a family o...

Explain Assembly Language This is a family of low-level language for programming computers, microprocessors, microcontrollers etc. They implement a symbolic sign of the numeric

Computer grphics, Advantages of DDa algorithms for line drawimg

Advantages of DDa algorithms for line drawimg

What is the use of system.xml.xlinq.dll, System.XML.XLinq.dll has classes t...

System.XML.XLinq.dll has classes to provide functionality to use LINQ with XML.

Data structure, explain different type of sparse matrix

explain different type of sparse matrix

Conversion of decimal number 82.67 to its binary equivalent, Conversion of ...

Conversion of Decimal number 82.67 to its Binary Equivalent Ans. Firstly see the integer part 82 and determine its binary equivalent  as The Binary equivalent is (101001

What is application analysis, What is application analysis? The purpose...

What is application analysis? The purpose of analysis is to understand the problem so that a correct design can be constructed. The application analysis focuses on major applic

Children''s game of rock, Design a game application that plays the children...

Design a game application that plays the children's game of rock, paper, scissors. The user enters a letter indicating a choice. The Math.random method is then used to pick a value

Application layer in tcp/ip model corresponds to for what, Application laye...

Application layer (layer 4) in TCP/IP model corresponds to? In OSI model, application layer (layer 4) in TCP/IP model corresponds to layer 6 and layer 7.

What are the different between hypertext hypermedia, What are the different...

What are the different between hypertext hypermedia? Hypertext is fundamentally the same like regular text; this can be stored, read or searched and edited along with a signifi

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