Repeat coordinates (arranged on the same y and different x) over different values of y

Hi! I need to achieve this by knowing the 'green' coordinates ("row_c") and the repeat intervals ("val"):

I tried this way but I can only generate the first (red) line:

load val.mat
load row_c.mat

r_add = {};
for k = 1:width(val)
    y_new = row_c(1,2) - val(1,k);
    r = height(row_c);
    repetition = repmat(y_new,r,1);
    r_new = row_c;
    r_new(:,2) = repetition;
    r_add = [r_add;{r_new}];
end
r_add_mat = cell2mat(r_add);

figure
plot(row_c(:,1),row_c(:,2),'g.','Markersize',15);
hold on
plot(r_new(:,1),r_new(:,2),'r.','Markersize',15);
% plot(r_add_mat(:,1),r_add_mat(:,2),'m.','Markersize',10);
hold off
axis equal
set(gca, 'YDir','reverse')

EDIT: add files

Answer 1

[Voss]

load row_c
load val

I think this is what you're going for:

r_add = [];
r = height(row_c);
r_new = row_c;

for k = 1:numel(val)
    r_new(:,2) = repmat(r_new(1,2)-val(1,k), r, 1);
    r_add = [r_add; r_new];
end

figure
plot(row_c(:,1),row_c(:,2),'g.','Markersize',15);
hold on
plot(r_add(:,1),r_add(:,2),'r.','Markersize',15);
hold off
axis equal
set(gca, 'YDir','reverse')
xlim([-90 -85])
ylim([104 108])

An alternative is:

[x,y] = meshgrid(row_c(:,1), row_c(1,2)-[0 cumsum(val)]);

figure
plot(x(1,:),y(1,:),'g.','Markersize',15);
hold on
plot(reshape(x(2:end,:),[],1),reshape(y(2:end,:),[],1),'r.','Markersize',15);
hold off
axis equal
set(gca, 'YDir','reverse')
xlim([-90 -85])
ylim([104 108])

Answer 2

[Matt J]

load row_c ; load val
x=row_c(:,1);
y0=row_c(1,2);

%%% Engine
[X,Y]=ndgrid(x,  flip(y0-cumsum(val)));

scatter(X(:),Y(:),'r','filled'); hold on
scatter(X(:,end), Y(:,end),'g','filled'); hold off
set(gca, 'YDir','reverse'); axis padded

[Alberto Acri]

How can I apply it to my case?

[Matt J]

I don't have your data to use directly, but why is it difficult to adapt? My plot above looks almost identical to the plot you say you want to generate.

[Alberto Acri]

Sorry, I thought I had attached them! I have now added them!

[Matt J]

Very well. I've incorporated them into my answer.