Topic: Image Sharpening and softening (blurring and deblurring).

Nowadays, technology has become very important in the society and so does image processing. People may not realize that they use this application everyday in the real life to makes life easier in many areas, such as business, medical, science, law enforcement. Image processing is an application where signal information of an image is analyzed and manipulated to transform it to a different stage. This technique can be done simply by changing the nature of the image using change of basis. In most situations, people prefer a better image with high resolution, sharper, more detail, etc. Image can be describes as a collection of pixels that have different component depends on the digital signals that digitized as a matrix. These signals came from different energy such as wavelength, frequency. Fourier basis manipulate the image by changing the signal in the pixels. Some signals that give a similar coefficient can be eliminated so that the picture become blurrier or vice versa. These kind functions are found in many situations such as the speeding camera. Speeding camera capture high-speed object, which in return give a result of, blur image. It is almost impossible for human eye to see or track the plate number of the fast moving vehicle without deblurring the image because the range is too high. Fourier change basis is the easiest way to transform the image. Eigenvector change basis will probably give the best result of transformation, but the problem is it will cost a lot of time, effort, and also expensive.

The development of image processing applications has many impacts on the society. Television for example, in the early century, television can only transmit and receive monochromatic moving images that give people black and white or grayscales images. This kind of television was not comfortable for human eye because it is not clear, detail...

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KENYA METHODIST UNIVERSITY
END OF 3RD TRIMESTER 2012 (EVENING) EXAMINATIONS
FACULTY:SCIENCE AND TECHNOLOGY
DEPARTMENT:PURE AND APPLIED SCIENCES
UNIT CODE: MATH 110
UNIT TITLE:LINEAR ALGEBRA 1
TIME:2 hours
Instructions:
Answer question one and any other two questions.
Question One (30 marks)
Find the determinant of the following matrices.
-4 8 (2 marks)
0 1
1 -3 -2 (3 marks)
2 -4 -3
-3 6 +8
Find the values of x and y if:(5 marks)
x...

...MA2030
589
UNIVERSITY OF MORA TUW A
Faculty of Engineering Department of Mathematics B. Sc. Engineering Level 2 - Semester 2 Examination: MA 2030 LINEARALGEBRA Time Allowed: 2 hours
2010 September 2010
ADDITIONAL
MATERIAL: None
INSTRUCTIONS
TO CANDIDATES:
This paper contains 6 questions and 5 pages.
Answer FIVE questions and NO MORE. This is a closed book examination.
Only the calculators approved and labeled by the Faculty of...

...Chapter 4 Linear Transformations
In this chapter, we introduce the general concept of linear transformation from a vector space into a vector space. But, we mainly focus on linear transformations from to .
§1 Definition and Examples
New words and phrases
Mapping 映射
Linear transformation 线性变换
Linear operator 线性算子
Dilation 扩张
Contraction 收缩
Projection 投影
Reflection 反射
Counterclockwise direction 反时针方向
Clockwise direction...

...The purpose of this project is to solve the game of Light’s Out! by using basic knowledge of Linearalgebra including matrix addition, vector spaces, linear combinations, and row reducing to reduced echelon form. |
Lights Out! is an electronic game that was released by Tiger Toys in 1995. It is also now a flash game online. The game consists of a 5x5 grid of lights. When the game stats a set of lights are switched to on randomly or in a pattern....

...Luc Brubaker
LinearAlgebra Essay
Computer Graphics
As technology has advanced, LinearAlgebra has proven to be a very vital part of the graphic imaging process. Computer graphics is the use of computers to produce pictorial images on a video screen, or a computer screen. Graphic software uses matrix mathematics to process linear transformations to render these...

...upper triangular matrix equivalent to A and L, a lower triangular matrix such that A LU . (b) Find the determinant of A.
3 1 3 1 4 2 0 and b 1 . 2. Let A 2 2 1 4
(a) Find the determinant of A. (b) Solve the linear system Ax b by the Cramer’s rule.
a 3. Let V be the set of all 2 1 real matrices v , where a and b are integers such b 3 8 1 1 that a b is even. Examples of matrices in V are , , ...

...2012–13 First Semester MATH 1111 LinearAlgebra Chapter 1: Matrices and Systems of Equations
Coverage of Chapter 1: Skip Application 3 in Section 1.4. Skip ‘Triangular Factorisation’ in Section 1.5.
A.
Solving Equations
1.
We are all familiar with solving equations. Illustrate how the following equations can be solved, and then raise and answer some theoretical and/or practical questions concerning the process of solution. (a)
3x 1 8
2 x...

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