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

history of databases , Write a four-page paper how relational data solutio...

Write a four-page paper how relational data solution is applied to presnt Video Store business. 1.       Describe Relational Databases   2.       Write History of databases

Algebraic method for simplification of boolean expressions, Define Algebrai...

Define Algebraic method for Simplification of the Boolean Expressions This method is depend on the by knowledge of the Boolean algebra. Expression can be making simpler by usin

Describe the properties of attributes and operations, Describe the properti...

Describe the properties of Attributesand operations Attributes are named slots for data values that belong to the class. Previously we have studied in MCS-024, different o

Cross bar-various interconnection networks-fully connected, Cross Bar ...

Cross Bar The crossbar network is the easiest interconnection network. It has a two dimensional grid of switches.  It is a non-blocking network and give connectivity among inp

Explain about control memory organization, Q. Explain about Control Memory ...

Q. Explain about Control Memory Organization? One of the simplest ways to organize control memory is to organize micro-instructions for different sub cycles of machine instruct

Determine about the microprocessor, Determine about the microprocessor ...

Determine about the microprocessor A microprocessor contains at the least CPU which was the case in 1970s and early 1980s. Today they include cache memories, bus interfaces, an

What is net-fu and where is it?, Net-fu is a web-based interface to a scri...

Net-fu is a web-based interface to a script-fu server. The work is completed at a remote site. To see Net-fu, point your web browser or one of the mirror sites, and then go to "gim

Explain loop-invariant code motion, Explain briefly Loop-invariant code ...

Explain briefly Loop-invariant code motion of the commonly used code optimization techniques. Loop-invariant code motion If a quantity is calculated inside a loop duri

Advantages and disadvantages of e-commerce, E-commerce is one of the most s...

E-commerce is one of the most significant aspects of the internet. Having emerged recently and growing at a steady state, it becomes essential to look at the advantages and disadva

What is text editor, What is text editor? It is used for entering and e...

What is text editor? It is used for entering and editing application programs. The user of this program interactively implements command that permit statements of a source prog

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