Distance Measures in Image Processing

This lecture covers various distance measures between pixels, including Euclidean, city block, chessboard, and DM distances. Each type of distance is explained with its formula and properties. The lecture also includes example problems to demonstrate the calculation of these distances, highlighting the differences in path dependency and connectivity.

What is the main topic of the fifth lecture in the DIP series?

• Color models in image processing

• Distance measures between pixels

• Image compression techniques

• Edge detection methods

Which formula is used to calculate Euclidean distance between two points?

• Absolute value of x - s + y - t

• Shortest path between points

• Root of (x - s)^2 + (y - t)^2

• Max of |x - s|, |y - t|

What is another name for City Block distance?

• Geodesic distance

• Euclidean distance

• Diagonal distance

• Manhattan distance

In City Block distance, how is movement restricted?

• Only diagonal movement is allowed

• Movement is restricted to horizontal and vertical paths

• Only circular paths are allowed

• Movement is unrestricted

What is the formula for Chessboard distance?

• Root of (x - s)^2 + (y - t)^2

• Shortest path between points

• Absolute value of x - s + y - t

• Max of |x - s|, |y - t|

How does Chessboard distance differ from City Block distance?

• It allows diagonal movement

• It restricts movement to horizontal paths

• It is not used in image processing

• It uses a different formula for calculation

What is unique about DM distance compared to D4 and D8?

• It depends on the shortest path and pixel values

• It is independent of paths

• It is the longest path between points

• It only considers diagonal paths

What is an important note about D4 and D8 distances?

• They depend on the path between points

• They are independent of any paths

• They are only used for color images

• They are not used in digital image processing

In the first example problem, what is the D4 distance between points P and Q?

• 10 units

• 6 units

• 8 units

• 4 units

In the second example problem, what is the DM distance for V = 0, 1?

• 3 units

• 5 units

• 6 units

• 8 units