how to find intersection data between 2 function

Question

Arif 2024-2-25

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2086568-how-to-find-intersection-data-between-2-function

评论： Walter Roberson 2024-3-1

采纳的回答： Sam Chak

hi guys can u help me to find the data which is intersection between 2 line ?

this is my graph :

i have data for the blue-line graph. so that i have data for points A,B,C.

The red line is an extended linear line from point A to B.

The yellow line is an vertical line when X = C

How do i get the intersection data between red-line and yellow-line ? the code formula.

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Answer 1

Sam Chak 2024-2-25

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https://ww2.mathworks.cn/matlabcentral/answers/2086568-how-to-find-intersection-data-between-2-function#answer_1415968

在 MATLAB Online 中打开

Hi @Arif

The red line represents the extrapolation up to the vertical line

. The main concept here is to determine the equation of line

and subsequently calculate the y-coordinate of the intersection point.

A = [0, 0]; % point A

B = [0.05, -150]; % point B

C = 0.125; % vertical line, x = C

figure(1)

plot([A(1), B(1)], [A(2), B(2)]), hold on

xline(C, '--'), grid on

xlabel x, ylabel y

%% Find the line equation between A and B

f = fit([A(1), B(1)]', [A(2), B(2)]', 'poly1')

f =

Linear model Poly1: f(x) = p1*x + p2 Coefficients: p1 = -3000 p2 = -0

%% Intersection coordinate

xi = C; % x-coordinate of the intersection

yi = f.p1*xi + f.p2 % y-coordinate of the intersection

yi = -375

fprintf('The coordinate of the intersection is (%.4f, %.4f).', xi, yi);

The coordinate of the intersection is (0.1250, -375.0000).

figure(2)

xr = B(1):0.001:C;

yr = f.p1*xr + f.p2;

plot([A(1), B(1)], [A(2), B(2)], 'LineWidth', 2), hold on

plot(xr, yr, 'LineWidth', 2)

plot(A(1), A(2), 'o', 'LineWidth', 2, 'MarkerSize', 12)

plot(xi, yi, 'o', 'LineWidth', 2, 'MarkerSize', 12)

plot(B(1), B(2), 'o', 'LineWidth', 2, 'MarkerSize', 12), hold off

xline(C, '-', {'x = 0.125'}, 'color', '#123456'), grid on

xlabel x, ylabel y, xlim([0, 0.3])

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Answer 2

Hassaan 2024-2-25

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https://ww2.mathworks.cn/matlabcentral/answers/2086568-how-to-find-intersection-data-between-2-function#answer_1415958

编辑：Hassaan 2024-2-25

在 MATLAB Online 中打开

@Arif A rough idea:

% Assuming you have the following coordinates
% A(xA, yA), B(xB, yB), and the x-coordinate of C (xC)
xA = % (your data for xA)
yA = % (your data for yA)
xB = % (your data for xB)
yB = % (your data for yB)
xC = % (your data for xC)
% Calculate the slope of the line AB (red line)
m = (yB - yA) / (xB - xA);
% Calculate the y-coordinate of the intersection point with the yellow line
yIntersect = m * (xC - xA) + yA;
% Display the intersection point
fprintf('The intersection occurs at (x, y) = (%.2f, %.2f)\n', xC, yIntersect);

Note:

May need adjustment as per your requirement

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