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

I2c protocol bus , I²C TECHNOLOGIES The I2C protocol bus is two bi-dire...

I²C TECHNOLOGIES The I2C protocol bus is two bi-directional wires, serial data (SDA) and serial clock (SCL), that transmit information between the devices connected to the bus.

Define wilkes control unit, Q. Define Wilkes Control Unit? Prof. M. V. ...

Q. Define Wilkes Control Unit? Prof. M. V. Wilkes of the Cambridge University Mathematical Laboratory invented the term microprogramming in 1951. He offered a systematic altern

State and prove demorgan’s first theorems, State and prove Demorgan’s First...

State and prove Demorgan’s First theorems: Ans. Statement of First Theorem of De Morgan: = A‾. B‾   Proof: The two sides of the equation i.e. = is represented with logic

Ease of learning - user friendliness, Ease of Learning - User Friendliness ...

Ease of Learning - User Friendliness Much has been made recently of increasing sophistication in technology with one of the major benefits advertised as an increase in somethi

Describe the term- macros, Describe the term- Macros A macro is a key o...

Describe the term- Macros A macro is a key or name which signifies a series of commands or key strokes. Many applications allow single nominated key or single word on a keyboar

Design a multiplier, how can we design a multiplier by using ASM chart and ...

how can we design a multiplier by using ASM chart and then design the data controller ?!!

Pre-os and runtime sub-os functionality, In a raw Itanium, a 'Processor Abs...

In a raw Itanium, a 'Processor Abstraction Layer' (PAL) is incorporated in system. When it's booted PAL is loaded in the CPU and provides a low-level interface which abstracts a nu

Draw a neat labelled diagram of the osi reference model, Draw a neat labell...

Draw a neat labelled diagram of the OSI reference model for computer networks showing all the layers and the communication subnet boundary. The computer network consists of all

Define relocatable programs, Relocatable programs? Ans. Relocatable pro...

Relocatable programs? Ans. Relocatable programs can be loaded almost anywhere inside the memory.

Explain the types of computer architecture, Explain the types of computer a...

Explain the types of computer architecture Computer architecture can be divided into three main categories: Instruction Set Architecture, or ISA, is the image of a computing

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