How to generate surface of revolution from Bezier curve

I am trying to generate revolved surface from bezier curve. I have generated bezier curve but now I do not know how to proceed further. Please help.

Below is the code that I have written and beyone this point I am stuck.

clc
clear
close all

%% Define inout parameters

B = [1,1; 2,3; 4,3; 3,1]; % Creating matrix for polygon vertices
[r,s] = size(B); % getting size of matrix in terms of rows and columns
n = r-1; % n+1 represents number of vertices of the polygon

np = 20; % represents number of equi-distance points on the bezier curve
t = linspace(0,1,np);

%% Plot polygon

for k = 1:n
    plot([B(k,1),B(k+1,1)], [B(k,2),B(k+1,2)], 'r', 'LineWidth', 2)
    hold on
    grid on
end

%% Generate the points on the bezier curve

for j = 1:np
    P = [0,0];
    for i = 0:n
        M(i+1) = (factorial(n)/(factorial(i)*factorial(n-i)))*((t(j))^i)*((1-t(j))^(n-i));
        P = P + B(i+1,:)*M(i+1);
    end
    Q(j,:) = P;
end

%% Plot the bezier curve from the obtained points

for l = 1:np-1
    plot([Q(l,1),Q(l+1,1)],[Q(l,2),Q(l+1,2)], '-- b', 'LineWidth', 2);
    hold on
end

Answer 1

[Amish]

Hi Jinesh,

I understand that you are trying to create a surface by revolving the Bezier curve that you have made. The approach that I see in your code is that you are generating a fixed number of points that satisfy the equation and then plotting them. You can try to similarly do this for the case of 3D coordinates too if you already have control points for the curve available at hand.

The following MATLAB File exchange uses the similar algorithm and plots the 3D surface for the curve. I would request you to have a look at this: https://www.mathworks.com/matlabcentral/fileexchange/66678-bezier-surface

Hope this helps!