Hi,
I understand that you want to display number of nodal points in each cell using nodeToCell variable and cell number of each nodal point in using cellToNode variable. From the information provided by you, I am assuming the nodal points and Grid Size.
nodalPoints = [3 1; 1 2; 2 2; 3 2; 2 3; 3 3; 1 4; 3 4; 2 5; 3 5];
gridSize = [3 3];
Below is the MATLAB code implementation of the problem:
% Define nodal points and grid size
nodalPoints = [3 1; 1 2; 2 2; 3 2; 2 3; 3 3; 1 4; 3 4; 2 5; 3 5];
gridSize = [3 3];
% Initialize variables
cellToNode = cell(prod(gridSize), 1);
nodeToCell = zeros(size(nodalPoints, 1), 1);
% Iterate over nodal points
for i = 1:size(nodalPoints, 1)
x = nodalPoints(i, 1);
y = nodalPoints(i, 2);
% Determine which cell the nodal point belongs to
cellX = ceil(x / gridSize(1));
cellY = ceil(y / gridSize(2));
cellNo = (cellY - 1) * gridSize(1) + cellX;
% Add nodal point to cell
cellToNode{cellNo} = [cellToNode{cellNo}; i];
% Update nodeToCell variable
nodeToCell(i) = cellNo;
end
% Display the nodal points in each cell
for i = 1:prod(gridSize)
fprintf('Nodes in cell %d:\n', i);
disp(cellToNode{i}');
end
% Display the cell number for each nodal point
for i = 1:size(nodalPoints, 1)
fprintf('Node %d in cell %d\n', i, nodeToCell(i));
end
