Page 1 Basic Relationships Between Pixels â€¢ Neighborhood â€¢ Adjacency â€¢ Connectivity â€¢ Paths â€¢ Regions and boundaries Page 2 Basic Relationships Between Pixels â€¢ Neighborhood â€¢ Adjacency â€¢ Connectivity â€¢ Paths â€¢ Regions and boundaries Neighbors of a Pixel â€¢ Any pixel p(x, y) has two vertical and two horizontal neighbors, given by (x+1, y), (x-1, y), (x, y+1), (x, y-1) â€¢ This set of pixels are called the 4-neighbors of P, and is denoted by N 4 (P). â€¢ Each of them are at a unit distance from P. Page 3 Basic Relationships Between Pixels â€¢ Neighborhood â€¢ Adjacency â€¢ Connectivity â€¢ Paths â€¢ Regions and boundaries Neighbors of a Pixel â€¢ Any pixel p(x, y) has two vertical and two horizontal neighbors, given by (x+1, y), (x-1, y), (x, y+1), (x, y-1) â€¢ This set of pixels are called the 4-neighbors of P, and is denoted by N 4 (P). â€¢ Each of them are at a unit distance from P. â€¢ The four diagonal neighbors of p(x,y) are given by, (x+1, y+1), (x+1, y-1), (x-1, y+1), (x-1 ,y-1) â€¢ This set is denoted by N D (P). â€¢ Each of them are at Euclidean distance of 1.414 from P. Neighbors of a Pixel (Contd..) Page 4 Basic Relationships Between Pixels â€¢ Neighborhood â€¢ Adjacency â€¢ Connectivity â€¢ Paths â€¢ Regions and boundaries Neighbors of a Pixel â€¢ Any pixel p(x, y) has two vertical and two horizontal neighbors, given by (x+1, y), (x-1, y), (x, y+1), (x, y-1) â€¢ This set of pixels are called the 4-neighbors of P, and is denoted by N 4 (P). â€¢ Each of them are at a unit distance from P. â€¢ The four diagonal neighbors of p(x,y) are given by, (x+1, y+1), (x+1, y-1), (x-1, y+1), (x-1 ,y-1) â€¢ This set is denoted by N D (P). â€¢ Each of them are at Euclidean distance of 1.414 from P. Neighbors of a Pixel (Contd..) â€¢ The points N D (P) and N 4 (P) are together known as 8-neighbors of the point P, denoted by N 8 (P). â€¢ Some of the points in the N 4 , N D and N 8 may fall outside image when P lies on the border of image. Neighbors of a Pixel (Contd..) Page 5 Basic Relationships Between Pixels â€¢ Neighborhood â€¢ Adjacency â€¢ Connectivity â€¢ Paths â€¢ Regions and boundaries Neighbors of a Pixel â€¢ Any pixel p(x, y) has two vertical and two horizontal neighbors, given by (x+1, y), (x-1, y), (x, y+1), (x, y-1) â€¢ This set of pixels are called the 4-neighbors of P, and is denoted by N 4 (P). â€¢ Each of them are at a unit distance from P. â€¢ The four diagonal neighbors of p(x,y) are given by, (x+1, y+1), (x+1, y-1), (x-1, y+1), (x-1 ,y-1) â€¢ This set is denoted by N D (P). â€¢ Each of them are at Euclidean distance of 1.414 from P. Neighbors of a Pixel (Contd..) â€¢ The points N D (P) and N 4 (P) are together known as 8-neighbors of the point P, denoted by N 8 (P). â€¢ Some of the points in the N 4 , N D and N 8 may fall outside image when P lies on the border of image. Neighbors of a Pixel (Contd..) Neighbors of a pixel a. 4-neighbors of a pixel p are its vertical and horizontal neighbors denoted by N 4 (p) b. 8-neighbors of a pixel p are its vertical horizontal and 4 diagonal neighbors denoted by N 8 (p) p N 4 (p) p N 8 (p) Neighbors of a Pixel (Contd..)Read More

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