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 about instruction cycle, Q. Explain about Instruction Cycle? Th...

Q. Explain about Instruction Cycle? The instruction cycle for this provided machine comprises four cycles. Presume a 2-bit instruction cycle code (ICC). The ICC can represent t

Identify the process of entering data into a ROM, The process of entering d...

The process of entering data into a ROM is called ? Ans. The process of entering data in ROM is termed as programming the ROM.

Open system interconnection networking model, Q. Open System Interconnectio...

Q. Open System Interconnection Networking Model? An open system is a model which allows any two different systems to communicate regardless of their underlying architecture. Th

Explain the numbering plan for isdn address structure, Explain the numberin...

Explain the numbering plan for ISDN address structure. The numbering plan for ISDN is evolved with using the following guidelines: 1. This is based on, and is an improvemen

What is pbo and pai events, What is PBO and PAI events? PBO- Process...

What is PBO and PAI events? PBO- Process before Output-It verifies the flow logic before displaying the screen. PAI- Process after Input-It verifies the flowlogic after

Define ftp, FTP FTP (File Transfer Protocol) is the protocol used on th...

FTP FTP (File Transfer Protocol) is the protocol used on the Internet for sending files and is usually used for uploading / downloading files (web pages) to and from servers. T

Temporary registers w and z, Why the temporary registers W and Z are named ...

Why the temporary registers W and Z are named so I mean we start from A,B,C,D,E then H and L coz H stands for higher bit nd L for lower bit of the address pointed by memory pointer

Define the register length, Q. Define the Register Length? Register Le...

Q. Define the Register Length? Register Length: Asignificant characteristic related to registers is length of a register. Generally the length of a register is dependent on it

What is a linked list, What is a linked list? Linked list: A linked l...

What is a linked list? Linked list: A linked list is a self referential structure which having a member field that point to the similar structure type. In simple term, a link

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