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 is assembler, What is Assembler An assembler is a program which ta...

What is Assembler An assembler is a program which takes as input a symbolic language program and produces output as its binary machine language equivalent. The input is known a

Differences between datagrid and datalist, Differences between Datagrid, Da...

Differences between Datagrid, Datalist and Repeater?   1. Datagrid has paging while Datalist doesnt. 2. Datalist has a property known as repeat. Direction = vertical/horizon

What is the function of a data element, What is the function of a data elem...

What is the function of a data element? A data element defines the role played by a domain in a technical context.  A data element having of semantic information.

The types of parameters in the function modules, What are the types of para...

What are the types of parameters in the function modules? In general, function module can have four types of parameters: EXPORTING : for passing data to the called function

Cg, raster scan display system

raster scan display system

What is program-controlled i/o, What is program-controlled I/O? In prog...

What is program-controlled I/O? In program controlled I/O the processor repeatedly checks a status flags to achieve the needed synchronization among the processor and an input

What is the difference among a canvas and a scroll panel, Canvas is a compo...

Canvas is a component. ScrollPanel is a container. Canvas is a rectangular area where the application can draw or trap input events. ScrollPane executes horizontal and vertical scr

Basic tradeoff of concerns for instruction set design, Q. Basic Tradeoff of...

Q. Basic Tradeoff of concerns for instruction set design? Basic Tradeoff: Smaller instruction (less space) vs. desire for more powerful instruction repertoire. Generally p

Ruby, Discuss about variables and assignmesnt statements

Discuss about variables and assignmesnt statements

Hidden input, Yet another type of input is HIDDEN input. A HIDDEN in...

Yet another type of input is HIDDEN input. A HIDDEN input is a value/name pair which is returned to you but doesn

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