Define classes named Pixel, Cell , and Frame with the specified attributes and behaviours. Add constructors to the classes.

Pixel Class

In digital imaging, a pixel, or picture element is a physical point in a raster image, or the smallest addressable element in an all points addressable display device. It is the smallest controllable element of a picture represented on the screen.In a computer monitor a Pixel can be represented using x, y coordinates and the RGB colors. For this exercise, let's ignore the RGB attribute. Define a class Pixel. A Pixel has x, y coordinates, which are both integer values. A Pixel also has the following behaviours:

• It can return the value of its x and y coordinates. Use the follwoing method signatures to implement these behaviours.
  public int getX( )
  public int getY( )

• It can change the value of its x and y coordinates. Use the following method signatures to implement these behaviours.
  public void setX(int xCoord )
  public void setY(int yCoord )

• It can also return the x, y coordinates in a format exactly like (x,y). Use the method signature:
  public String toString( )

• The Pixel also has a construcor that initilizes the values of x, y coordinates to their default values.

• It also has a second constructor that initializes the coordinates to given values. Use the signature:
  public Pixel (int x, int y)

Cell Class

A Cell abstracts a 10x10 pixel region of the screen, which is a smaller part of a larger region of the screen. Since we know the size of a Cell, then knowing where the bottom left corner of the cell is located tells us everything we need to know about the position of the rest of the Cell. The x coordinate of a pixel increments towards the right and decrements towards the left. With the same token, the y of a pixel increments and decremments in up and down the pixel, respectively. Define a class named Cell which has the following behaviors:

• It can return the pixel that represents the Cell, which is the bottom left corner of the cell. Use the method signature:
  public Pixel getBottomLeft( )

• It can change the pixel that represents the Cell. Use the method signature:
  public void setBottomLeft( Pixel pi)

• It can return the center (pixel) of the Cell. Use the method signature:
  public Pixel getCenter( )

• It can return the corners (pixel) of the Cell. Use the method signatures:
  public Pixel getTopLeft( )
  public Pixel getTopRight( )
  public Pixel getBottomRight( )

The Cell has the following two construcors that initilizes the value of pixel of its bottom-left corner.

• Default Constructor that initializes the x,ycoordintes of the pixel to zero.

  public Cell( )

• A Constructor that accepted the pixel value and initializes the left-bottom corner pixel.
  public Cell(Pixel pix )

Frame Class

A Frame represents a 10x10 cell region of the screen (and thus a 100x100 pixel region). Like the Cell, the position of the bottom left corner of the Frame tells us everything we need to know about the position of the rest of the Frame as well as all of the Cells it contains. Define a class named Frame which has the following behaviors:

• It can return the pixel that represents the Frame. Use the method signature:
  public Pixel getBottomLeft( )

• It can change the pixel that represents the Frame. Use the method signature:
  public void setBottomLeft( Pixel pi)

• It can return the center (pixel) of the Frame. Use the method signature:
  public Pixel getCenter( )

• It can return the corners (pixel) of the Frame. Use the method signatures:
  public Pixel getTopLeft( )
  public Pixel getTopRight( )
  public Pixel getBottomRight( )

• Give the row and colomn number of the cell, it returns the pixel of that specific cell. Assume the first cell is row 1, colomn 1 and the top right cell is row 10, col 10. If the row and col values are outside the boundary of the Frame , the method returns null. Use the method signature:
  public Cell getCell( int row, int colomn )

• The class also has a constructor that accepts a Pixel as an argument. Use the following method signature:
  public Frame(Pixel pixel)

• A default construction initializes the class with a Pixel value of 0, 0:

  public Frame()