Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**pari_alf****Member**- Registered: 2013-12-01
- Posts: 80

how can we get the equal interval points along the line direction?>

Which resampling method would be better to use .

Thanks

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

hi pari_alf

I'm just going to make a diagram to go with this. So if you can, stay on-line.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

Have a look at my graph below. You click on it to get it normal size.

Do you want to be able to divide AB into a set of equal segments, each with its own coordinates ?

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**pari_alf****Member**- Registered: 2013-12-01
- Posts: 80

yes right..

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

OK. I've changed the graph a little to make an easier example.

Let's say A is (2,3) and B is (12,8), and we want to divide the line into 5 equal parts.

(12-2)/5 = 2 and (8-3)/5 = 1 so we can step from point to point by going across 2 and up 1.

The points are (2,3) (4,4) (6,5) (8,6) (10,7) and (12,8)

So now to generalise that into a formula. For the x coordinates :

where i goes from 0 to n

and the y coordinate is similar.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

Pages: **1**