Linear transformation 2D

Hi,

I have two vectors for x and y coordinates. x = [-2, -1, 1]; and y = [-3, 0, 1]. the black dots are position values recorded. All the x coordiates are in one direction (all to the right; more positive as time goes on).

I would like to make it into 1 dimensional and I think I have to use linear transformation. May I know if linear transformation is correct to be used? and also is there any built in function or examples of linear transformation of Matlab? Sorry if my question is quite general and might not be related to Matlab directly? thanks in advance!

[KSSV]

Question is not clear...What do you mean by making 1 D?

[Bjorn Gustavsson]

What do you want to do? What is the objective, what do you want to achieve? What do you intend to use it for and how? This is in at least one sense already a 1-D curve, it has a finite length, so the fractal dimension is definitely 1.

[HYZ]

The blue line is the path of an animal in an experiment. Each position was linearized into x and y coordinates. the red box in the picture is the linear track where animal walked.

1D I meant was 1-dimensional coordinate which is parellel to long axis of the linear track. I cannot ignore y-axis as long axis of linear track is not parallel to the x-axis.

[KSSV]

Take the mean of all the coordinates.....make the line parallel tolong axes pass through the mean of (x,y)...will it work ?

[Bjorn Gustavsson]

Before you ask questions, just have a look at your problem, plot your data. Are your points on a 1-D line? If they are not on a line, then you have to ask yourself if your current question makes sense. If that is the case you should have a think about more specifically what you want to achieve. Do you for example want a plot of how long distance your animal have traveled as a function of "time" (or whatever your loging-points refer to)