필터 지우기
필터 지우기

Finding number of points inside a 2.5*2.5 lat-lon grid box using matlab?

조회 수: 3 (최근 30일)
Subhodh Sharma
Subhodh Sharma 2022년 6월 16일
댓글: Voss 2022년 6월 21일
Hello everyone,
I have a 1-D longitude and latitude data (attached excel file) (info about the data: irregular spacing and not in a increasing/ decreasing order).
I want to find a number of this irregular lat-lon points coming on/in each grid box each of size 2.5*2.5 of a regular lat-lon grid.
Therefore, I created a regular lat lon meshgrid using,
T=readtable('Question_data.xlsx'); lo=T.LON; la=T.LAT; % irregular data
res = 2.5; % grid box size
lon = -180:res:180;
lat = -90:res:90;
[lon,lat] = meshgrid(lon,lat);
At the end I will have a matrix of dimension 73*145 (i.e. in regula grid of resolution 2.5) containing how many points coming on/in each grid box.
I know something can be done with knnsearch but not sure how to execute it defining no of points and distance. I hope you have understood my requirement.
Looking forward to your help. Thanks in advance.

답변 (1개)

Voss
Voss 2022년 6월 16일
편집: Voss 2022년 6월 16일
T=readtable('Question_data.xlsx');
res = 2.5; % grid box size
% lon = -180:res:180;
% lat = -90:res:90;
lon = linspace(-180,180,round(360/res+1));
lat = linspace(-90,90,round(180/res+1));
% bin the data in 2 dimensions:
N = histcounts2(T.LAT,T.LON,lat,lon); % 72-by-144 (number of bins is one less than the number of edges)
disp(N);
Columns 1 through 33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
disp(nnz(N)); % number of bins that have stuff
194
  댓글 수: 6
Subhodh Sharma
Subhodh Sharma 2022년 6월 21일
편집: Subhodh Sharma 2022년 6월 21일
@Voss thanks again!
I don't know whether this below statement of yours is right or wrong?
Because if I try to calculate ind using
ind=N(idx_lat,idx_lon);
It throws an error "Index exceeds matrix dimensions" and this is obviously expected.
I guess the calculated N first dimension represents lon and second dimension lat. I also checked with reversed condition,
N = histcounts2(T.LON,T.LAT,lon,lat);
here N has dimension of 144 by 72.
lon has dimension of 145 and lat has dimension of 73. If the statement "number of bins is one less than the number of edges" is true. then the logic has to consistent.
Correct me if I am wrong. Thanks in advance.
Voss
Voss 2022년 6월 21일
Let me try it both ways.
All this stuff doesn't depend on how N is defined, so I do it once at the top:
T=readtable('Question_data.xlsx');
res = 2.5; % grid box size
lon = linspace(-180,180,round(360/res+1));
lat = linspace(-90,90,round(180/res+1));
lat_centers = (lat(1:end-1)+lat(2:end))/2;
lon_centers = (lon(1:end-1)+lon(2:end))/2;
idx_lat = lat_centers > 0 & lat_centers < 40;
idx_lon = lon_centers > 110 & lon_centers < 150;
First case: defining N with lat first, lon second:
% lat first, lon second:
N = histcounts2(T.LAT,T.LON,lat,lon); % 72-by-144
size(N)
ans = 1×2
72 144
% lat first, lon second:
ind=N(idx_lat,idx_lon) % no error here
ind = 16×16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 109 125 0 0 0 0 0 0 0 0 0 0 0 0 0 0 31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24 0 0 0 0 0 0 0 0 0 0 0
Second case: defining N with lon first, lat second:
% lon first, lat second:
N = histcounts2(T.LON,T.LAT,lon,lat); % 144-by-72
size(N)
ans = 1×2
144 72
% lon first, lat second:
ind=N(idx_lon,idx_lat) % no error here
ind = 16×16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24 16 15 0 0 0 0 0 0 109 31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 125 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
So I'm unable to reproduce the error "Index exceeds matrix dimensions". You must be doing something different than one of these two ways.
To address your second point:
"here N has dimension of 144 by 72.
lon has dimension of 145 and lat has dimension of 73. If the statement "number of bins is one less than the number of edges" is true. then the logic has to consistent."
  • lon and lat are bin edges.
  • lon_centers and lat_centers are bin centers.
  • N is counts inside the bins.
Therefore, N has size [one less than the length of lat]-by-[one less than the length of lon] (or the reverse, depending on which way you define N).
Another way to say the same: N has size [length of lat_centers]-by-[length of lon_centers] (or the reverse, depending on which way you define N).
Another way to say the same: In a given dimension (lat or lon), each bin has two edges and one center. N is bin counts, so there's one element of N for each bin, i.e., one count for each bin center.

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