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

Data bus is bidirectional, Why address bus is unidirectional and data bus i...

Why address bus is unidirectional and data bus is bidirectional? Ans) Because there is no require address transaction among processor and peripheral device but data bus is req

Syntax and semantics - first-order logic, Syntax and Semantics: Propos...

Syntax and Semantics: Propositional logic is prohibited in its expressiveness: so just to represent true and false facts for the world. By a type of extending propositional lo

Array, list advantages of array

list advantages of array

What are the process states in unix, What are the process states in Unix? ...

What are the process states in Unix? As a process implements it changes state according to its circumstances. Unix processes have the following states: Running : The process

Cache misses - computer architecture, Cache Misses Compulsory misse...

Cache Misses Compulsory misses -  it is caused by initial access to a block that has never been in the cache (also called cold start misses Capacity miss - it is cause

How to create user interfaces for lists, How to create user interfaces for ...

How to create user interfaces for lists? The R/3 system automatically, obtains a graphical user interface (GUI) for your lists that offers the basic functions for list process

Configure port to send logic, Configure port A for the lower 4 bits to be i...

Configure port A for the lower 4 bits to be inputs and the upper 4 bits to be outputs. The program should chase a logic one from Pa4 -> Pa7, depending upon the condition of Pa0-Pa3

Basic idea - learning decision trees, Basic idea: However in the above...

Basic idea: However in the above decision of tree which it is significant that there the "parents visiting" node came on the top of the tree. Whether we don't know exactly the

Define http, Http Hyper Text Transfer Protocol: The WWW protocol that...

Http Hyper Text Transfer Protocol: The WWW protocol that performs the request and regain functions of a server. Generally seen as the first part of a website address. It is t

Explain about cathode ray tubes, Q. Explain about Cathode Ray Tubes? Ca...

Q. Explain about Cathode Ray Tubes? Cathode ray tube is the major technology on that televisions and monitors have been based.  CRT is a partially evacuated glass tube which is

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