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

What are the advantages of using xml over html, What are the advantages of ...

What are the advantages of using XML over HTML? The root cause of the problem lies within HTML that is Hyper Text Markup Language, the defector standard for web publication. Th

Name the software required to run video conferencing, Name The software req...

Name The software required to run video conferencing The software and hardware required to run video conferencing is very sophisticated. Apart from obvious items (that is large

Explain working of dotmatrix or inkjet printers, Q. Explain working of DotM...

Q. Explain working of DotMatrix or InkJet Printers? Three major issues consider the quality of characters generated by DotMatrix/InkJet Printers: - Number of dots in the matrix

Define edge triggered d flip flop, Define Edge Triggered D flip-flop? D...

Define Edge Triggered D flip-flop? D latch has only two inputs C(control) and D(data). The operation of a D flip-flop is a lot simpler and it has only one input addition to the

Visual perception problems, In AI the process of perception is studied ...

In AI the process of perception is studied as a set operations. A visual scene may be encoded by sensors and represented as matrix of intensity values. These are processed b

Describe the concept of value creation, I am required to write about the im...

I am required to write about the impact of the internet on firms with reference to the following questions: 1. Describe the concept of value creation. Explain how a firm can use

How many lists can a program can produce, How many lists can a program can ...

How many lists can a program can produce? Every program can produce up to 21 lists: one basic list and 20 secondary lists.  If the user makes a list on the next level (that is,

Algorithm to insert a key in b-tree, Algorithm to insert a key in B-tree is...

Algorithm to insert a key in B-tree is as follows: 1.  First search is completed for the place where the new record must be put. As the keys are inserted, they are sorted into

Define operation code, Define Operation code. The Operation code of an ...

Define Operation code. The Operation code of an instruction is a group of  bits that explain such operations as add, sub, ,shift, mul and complement.

Explain error-detection code, Q. (192.8)10 - (AE.E)16 = (X)8, Find value of...

Q. (192.8)10 - (AE.E)16 = (X)8, Find value of x. Use 8's complement method. Q. Write first 10 numbers in the base 4. Q. Explain Error-Detection code & Error-correction code w

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