After you determine the binary function to categorize the points, use the "filled" parameter of the "scatter" plot function to display these categorized group of points as painted areas.
% Define the grid of points
x = linspace(0, 1, 100);
y = linspace(0, 1, 100);
% Initialize groups
group1 = [];
group2 = [];
% Define the binary relation function
belongs_to_group1 = @(x, y) (x.^2 + (2*y).^2 < 0.2);
% Categorize points
for i = 1:length(x)
for j = 1:length(y)
if belongs_to_group1(x(i), y(j))
group1 = [group1; x(i), y(j)];
else
group2 = [group2; x(i), y(j)];
end
end
end
% Plot the categorized points
figure;
hold on;
% Plot group1 as red area
if ~isempty(group1)
scatter(group1(:,1), group1(:,2), 5, 'r', 'filled', 'DisplayName','Group1');
end
% Plot group2 as blue area
if ~isempty(group2)
scatter(group2(:,1), group2(:,2), 5, 'b', 'filled', 'DisplayName','Group2');
end
xlabel('x');
ylabel('y');
legend
hold off;
You can alternatively use the "fill" function for filling out the areas based on the binary function.
For more information regarding the "scatter" and "fill" functions, refer to the following documentation links:
