Plot 3-D parametric curve - MATLAB fplot3 (2024)

FAQs

How to plot 3-D parametric equations in Matlab? ›

To plot vector functions or parametric equations, you follow the same idea as in plotting 2D functions, setting up your domain for t. Then you establish x, y (and z if applicable) according to the equations, then plot using the plot(x,y) for 2D or the plot3(x,y,z) for 3D command.

Plot Multiple Lines on Same Figure

To set options for individual lines, use the function handles returned by fplot3 . Divide a figure into two subplots using subplot . On the first subplot, plot two parameterized lines using vector input. On the second subplot, plot the same lines using hold on .

A 3-D curve can be given parametrically by x = f(t), y = g(t) and z = h(t) where t is on some interval I and f, g, and h are all continuous on I. We could specify the curve by the position vector .

To plot a parametric curve, simply create an ordered pair where one or both coordinates are defined in terms of the parameter t. By default, parametric curves are plotted for values of t in the interval [0, 1], but it is possible to adjust the domain manually using the inputs beneath the expression.

Parametric Equation of a Line in 3D

These equations x=x0+at, y=y0+bt and z=z0+ct are called the parametric equations of the line that contains the point (x0,y0,z0) and has the direction vector →V=aˆi+bˆj+cˆk.

fplot3(___, Name,Value ) specifies line properties using one or more name-value pair arguments. For example, 'LineWidth',2 specifies a line width of 2 points. fplot3( ax ,___) plots into the axes specified by ax instead of the current axes. Specify the axes as the first input argument.

As shown above, any function y = f(x) can be graphed in Parametric mode by letting x = t and y = f(t). The inverse of a function can be created by swapping the values of x and y. That is, the inverse of y = f(x) is found by letting x = f(t) and y = t.

You can create a multidimensional array by creating a 2-D matrix first, and then extending it. For example, first define a 3-by-3 matrix as the first page in a 3-D array. Now add a second page. To do this, assign another 3-by-3 matrix to the index value 2 in the third dimension.

How to plot a 3-D graph in MATLAB using Excel data? ›

The derivative of the parametrically defined curve x=x(t) and y=y(t) can be calculated using the formula dydx=y′(t)x′(t). Using the derivative, we can find the equation of a tangent line to a parametric curve. The area between a parametric curve and the x-axis can be determined by using the formula A=∫t2t1y(t)x′(t)dt.

Converting from rectangular to parametric can be very simple: given y=f(x), the parametric equations x=t, y=f(t) produce the same graph. As an example, given y=x2, the parametric equations x=t, y=t2 produce the familiar parabola. However, other parametrizations can be used.

To draw the cylinder, pass X , Y , and Z to the surf or mesh function. [X,Y,Z] = cylinder( r ) returns the x-, y-, and z- coordinates of a cylinder with the specified profile curve, r , and 20 equally spaced points around its circumference.

The equations , x = x ( s , t ) , , y = y ( s , t ) , and z = z ( s , t ) are the parametric equations for the surface, or a parametrization of the surface.