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

Discuss about second generation electronic computers, Second Generation (19...

Second Generation (1954-1962) The second generation saw various significant developments at every level of computer system design, from technology used to build the basic circu

Adding momentum - sigmoid units, Adding Momentum - Sigmoid units: Howe...

Adding Momentum - Sigmoid units: However imagine a ball rolling down a hill as it does so then it gains momentum in which its speed increases and it becomes more difficult to

Describe menu in dreamweaver, File Menu: Under it there are New, Save, Sav...

File Menu: Under it there are New, Save, Save as, Save as template, Import, Export, Preview in browser etc. options. Edit Menu: In this menu there are Cut, Copy, Paste, Undo,

Components of a 3-tier client server, What are the essential components of ...

What are the essential components of a 3-tier client server In a three-tier or multi-tier environment, the client executes the presentation logic (the client). The business log

Scope of expert system, The scope of the experts system is very limite...

The scope of the experts system is very limited. It cannot work outside the field it is being used. The users knowledge is required to adjust to new situation. To reduce

How client and server use same protocol port at same time, Can both client ...

Can both client and server use the same protocol port on the same computer at the same time? Explain. Client and server can't use similar port number on similar computer at ide

Define entry section and exit section, Define entry section and exit sectio...

Define entry section and exit section. The critical section problem is to design a protocol that the processes can use to cooperate. Every process must request permission to e

How do you turn off cookies for one page in your site, How do you turn off ...

How do you turn off cookies for one page in your site?  Use the Cookie. Abandon Property which Gets or sets the discard flag set by the server. When true, this property instruc

Explain concurrent sharing, Explain Concurrent Sharing Here a number of...

Explain Concurrent Sharing Here a number of programs that may share a file simultaneously. While this is the case, it is necessary to prevent mutual interference among them. Th

Difference between external and global variables, Global variables are acce...

Global variables are accessible only to the batch program while external variables can be referenced from any batch program residing in the similar system library.

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