How to make a grid with non-uniform nodes

Hi, I need to create a grid that has a node structure as shown in the picture attached. I managed to do a small section in Excel but need a grid size of 100 x 100 nodes and greater. I understand this would be best by using a loop but cant seem to work out how I would do it to make a grid like this. If anyone could help or forward some code for this problem to work that would be very helpful. Thank you.

Answer 1

[Dipesh]

Thank you for the help. I have managed to solve my problem.

[Krunal Chokshi]

Can you please share the answer?

Answer 2

[Walter Roberson]

Example:

[X, Y] = ndgrid( 1 - logspace(0.01, 1, 100), linspace(0, 1, 100) );

[Dipesh]

Sorry this is not what im looking for. I want the spaces between the points to firstly start off close together and then get further apart based on a specific scaling factor. Thank you for your help though.

[Walter Roberson]

initial_value .* ((1+scaling_factor) .^ (0:99))

However I would point out that the image clearly shows the points getting closer together, not further apart.