#
`pspath` documentation

`pspath` is part of Antarctic Mapping Tools for Matlab (Greene et al., 2017). Click here for a complete list of functions in AMT.

The `pspath` function returns coordinates a path with equal spacing in polar stereographic coordinates. This function might be used to find even spacing for common interpolation points along a satellite ground track.

## Contents

## Syntax

[lati,loni] = pspath(lat,lon,spacing) [xi,yi] = pspath(x,y,spacing) [...] = pspath(...,'method',InterpolationMethod)

## Description

`[lati,loni] = pspath(lat,lon,spacing)` connects the geographic points `lat,lon` by a path whose points `lati,loni` are separated by spacing meters. If input coordinates are geo coordinates, output coodinates are also geo coordinates.

`[xi,yi] = pspath(x,y,spacing)` connects the polar stereographic points `x,y` by a path whose points xi,yi are separated by spacing meters. If input coordinates are polar stereographic coordinates, output coodinates are also polar stereographic coordinates.

`[...] = pspath(...,'method',InterpolationMethod)` specifies an interpolation method for path creation. Default is `'linear'`.

## Example

AMT comes with some sample data. Consider this segment of a sample flight line:

D = load('samplegrid.mat'); lat = D.lat(4000:10:5000); lon = D.lon(4000:10:5000); z = D.z(4000:10:5000); % And perhaps there's some missing data: lat([10 20:25 60:65 80:82]) = []; lon([10 20:25 60:65 80:82]) = []; z([10 20:25 60:65 80:82]) = []; plotps(lat,lon,'ko-')

That flight line is not spaced very evenly. Perhaps you want equal spacing-- let's get a path with a point every 500 m:

```
[lati,loni] = pspath(lat,lon,500);
plotps(lati,loni,'rx-')
```

Maybe you prefer spline interpolation:

[lati_spline,loni_spline] = pspath(lat,lon,500,'method','spline'); plotps(lati_spline,loni_spline,'b^-')

We can zoom in for a closer look:

axis([-1499557 -1495441 -468396 -465326])

With even spacing, it's now possible to interpolate data to a common spacing for easy intercomparison. This is ideal for interpolating to a common spacing for repeat-track analysis. That doesn't really match our sample data, but the point is illustrated nonetheless. For example, we can interpolate the z data from the sample flight. If everything is in terms of path distance as the independent variable, use `pathdistps` to interpolate to

d = pathdistps(lat,lon); di = pathdistps(lati,loni); zi = interp1(d,z,di); figure plot(d,z,'ko') hold on plot(di,zi,'b.-')

We can even compare that to other datasets:

plot(di,bedmap2_interp(lati,loni,'surfw'),'r') plot(di,cryosat2_interp(lati,loni),'g') legend('original flight data','100 m flight data','bedmap2','cryosat2')

Note: The CryoSat-2 elevations seem silly compared to the other data, but there's a good chance they're right. I originally made the sample dataset by adding some noise to Bedmap2.

## Citing AMT

If this function or any other part of Antarctic Mapping Tools is useful for you, please cite the paper that describes AMT.

Greene, C. A., Gwyther, D. E., & Blankenship, D. D. Antarctic Mapping Tools for Matlab. *Computers & Geosciences*. 104 (2017) pp.151-157. doi:10.1016/j.cageo.2016.08.003.

## Author Info

This function was created by Chad A. Greene of the University of Texas at Austin Institute for Geophysics (UTIG), April 2016.