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

Is the process before and after the swap are the same, Is the Process befor...

Is the Process before and after the swap are the same? Give reason. Process before swapping is residing in the primary memory in its original form. The regions (text, data and

Describe about physical systems, Q. Describe about Physical Systems? Ph...

Q. Describe about Physical Systems? Physical Systems are tangible entities which may be dynamic or static.   Computer Systems, Buildings,Vehicles etc. are illustrations of p

Why generalization is very strong, Even while Generalization satisfies Stru...

Even while Generalization satisfies Structural, Interface, Behaviour properties. It is mathematically very strong, as it is Antisymmetric and Transitive. Antisymmetric: employe

Instruction pipelines, Instruction Pipelines As discussed previous, the...

Instruction Pipelines As discussed previous, the stream of instructions in the instruction implementation cycle, can be realized through a pipeline where overlapped implementat

Brief explanation of all elements in activity diagrams, ? Activities: An ac...

? Activities: An activity shows an action that performed in the system. ? Transitions: Transitions are shown by open arrow heads. Transitions are used to specify the flow among

Input device used in computer system, Input device used in computer system:...

Input device used in computer system: An input device is typically a mouse or keyboard, the input device is the conduit through which data and instructions enter a computer. A

What are the benefits of using asp.net routing, In an ASP.NET web applicati...

In an ASP.NET web application that does not build use of routing, an incoming browser request should map to a physical file. If the file does not exist, we get page not found error

Linear model., what is linear model and its type

what is linear model and its type

What is double entry - verification, What is Double entry - Verification ...

What is Double entry - Verification In this approach, data is entered twice (using two different people); data is only accepted if both versions match up. Generally used to ve

Why the tcp checksum is necessary, Is the TCP checksum necessary? Yes, ...

Is the TCP checksum necessary? Yes, TCP Checksum is essential. TCP layer is liable for error detection, transmission of packets if needed, error control, reassembly of packe

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