How to Superimpose 3D Vectors and Geometry in MATLAB? (2024)

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In summary, to plot the 3D vectors of the velocity on the same plot as the geometry of the wing, use the hold on function to superimpose the plots. To indicate the magnitude of a vector in a quiver3 plot, use the 'ColorData' property and the Colorbar function or label specific vectors with their magnitude.

  • #1

RandomGuy88

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I am calculating the velocity of the air in front of a wing. I would like to plot the 3D vectors of the velocity on the same plot as the geometry of the wing. I have the two plots separately but I was wondering if there was anyway I could superimpose one on the other? Currently the geometry is plotted using fill3(X,Y,Z,'w') and the velocity vectors are plotted using quiver3(x,y,z,u,v,w).

I was also wondering it it were possible to indicate the magnitude of a vector other than the relative size of the arrow when using quiver3. Is there a way that I can give different arrows different colors and a color bar to represent the magnitudes or perhaps pick a few of the arrows and label them with their magnitude?

  • #2

Yes, it is possible to superimpose the two plots. You can use the MATLAB function hold on to allow both plots to appear in the same figure.To indicate the magnitude of a vector in a quiver3 plot, you can use the 'ColorData' property. This allows you to specify a color for each vector based on its magnitude. You can then use the Colorbar function to display a colorbar to represent the magnitude of the vectors. Alternatively, you can pick a few of the arrows and label them with their magnitude.

Related to How to Superimpose 3D Vectors and Geometry in MATLAB?

1. What are 3D vectors in Matlab?

3D vectors in Matlab refer to a data structure used to represent a quantity that has both magnitude and direction in a three-dimensional space. They are commonly used in math and physics to describe displacement, velocity, and acceleration.

2. How do I create a 3D vector in Matlab?

To create a 3D vector in Matlab, you can use the vector function with three input arguments representing the x, y, and z components of the vector. For example, v = vector(2, 3, 4) will create a vector with components (2, 3, 4).

3. How do I perform operations on 3D vectors in Matlab?

Matlab has built-in functions for performing various operations on 3D vectors, such as addition, subtraction, cross product, dot product, and normalization. These functions include plus, minus, cross, dot, and norm, respectively.

4. Can I plot 3D vectors in Matlab?

Yes, Matlab has a quiver3 function that allows you to plot 3D vectors as arrows. This function takes in the coordinates of the starting point and the direction and magnitude of the vector, and plots it in a 3D coordinate system.

5. Are there any useful built-in functions for working with 3D vectors in Matlab?

Aside from the operations mentioned earlier, Matlab also has functions such as angle for calculating the angle between two vectors, proj for finding the projection of one vector onto another, and angle2dcm for converting a rotation angle and axis into a direction cosine matrix.

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                      How to Superimpose 3D Vectors and Geometry in MATLAB? (2024)

                      FAQs

                      How do you superimpose two plots in Matlab? ›

                      By default, new plots clear existing plots and reset axes properties, such as the title. However, you can use the hold on command to combine multiple plots in the same axes. For example, plot two lines and a scatter plot. Then reset the hold state to off.

                      How to plot a surface in Matlab? ›

                      surface( X , Y , Z ) creates a primitive, three-dimensional surface plot. The function plots the values in matrix Z as heights above a grid in the x-y plane defined by X and Y . The color of the surface varies according to the heights specified by Z .

                      How to create a vector in Matlab? ›

                      You can create a vector both by enclosing the elements in square brackets like v=[1 2 3 4 5] or using commas, like v=[1,2,3,4,5]. They mean the very same: a vector (matrix) of 1 row and 5 columns.

                      How do you superimpose two images in MATLAB? ›

                      C = imfuse( A , B ) creates a composite image from two images, A and B . If A and B are different sizes, imfuse pads the smaller dimensions with zeros so that both images are the same size before creating the composite. The output, C , is a numeric matrix containing a fused version of images A and B .

                      How do I superimpose two plots in Matplotlib? ›

                      In Matplotlib, we can draw multiple graphs in a single plot in two ways. One is by using subplot() function and other by superimposition of second graph on the first i.e, all graphs will appear on the same plot. We will look into both the ways one by one.

                      How to plot a 3-D surface? ›

                      3D Surface Plots in Python
                      1. Topographical 3D Surface Plot.
                      2. Passing x and y data to 3D Surface Plot. ...
                      3. Surface Plot With Contours.
                      4. Display and customize contour data for each axis using the contours attribute (reference).
                      5. Configure Surface Contour Levels. ...
                      6. Multiple 3D Surface Plots.
                      7. Setting the Surface Color. ...
                      8. Reference.

                      How to draw a 3-D plot in MATLAB? ›

                      To plot a 3D surface from a data file in MATLAB, you will need to have the data file open in MATLAB. Once you have the data file available, you can use the plot3 command to plot the data. The plot3 command will create a 3D plot of the data. You can also use the surf command to create a 3D surface plot.

                      What is the difference between surface plot and mesh plot in MATLAB? ›

                      MATLAB can create different forms of surface plots. Mesh plots are wire-frame surfaces that color only the lines connecting the defining points. Surface plots display both the connecting lines and the faces of the surface in color.

                      Can you plot a vector in MATLAB? ›

                      These basic steps are to plot vectors in MATLAB using the quiver function. You can also use other functions, such as an arrow and compass, depending on your needs.

                      What is vectorize in MATLAB? ›

                      Vectorization is one of the core concepts of MATLAB. With one command it lets you process all elements of an array, avoiding loops and making your code more readable and efficient. For data stored in numerical arrays, most MATLAB functions are inherently vectorized.

                      What are examples of vectors in MATLAB? ›

                      In MATLAB a vector is a matrix with either one row or one column. In two dimensional system, a vector is usually represented by 1 × 2 matrix. For example, a vector, B in Figure 1 is 6i + 3j, where i and j are unit vectors in the positive direction for x and y axes, respectively in the Cartesian coordinate system.

                      How to create a 3D object in MATLAB? ›

                      In MATLAB, the patch function can be used to generate a 3D model by specifying the vertices and faces of the object. This function provides a convenient way to plot and visualize 3D objects in MATLAB. patch('Vertices', vertices, 'Faces', faces, 'FaceColor','red');

                      How to import a 3D model into MATLAB? ›

                      Create a world object. Use the load function to import a 3D file. This example uses an STL file. If you do not create a viewport, then the point of view is set to 0, 0, 0, and you can use the keyboard shortcuts and mouse controls to navigate in the Simulation 3D Viewer window.

                      What is the angle of a 3D plot in MATLAB? ›

                      MATLAB automatically selects a viewpoint that is determined by whether the plot is 2-D or 3-D: For 2-D plots, the default is azimuth = 0° and elevation = 90°. For 3-D plots, the default is azimuth = -37.5° and elevation = 30°.

                      How to merge two graphs in MATLAB? ›

                      Direct link to this answer
                      1. % Create data.
                      2. y1 = -5:5;
                      3. y2=y1.^2;
                      4. y3 = y1.^3;
                      5. plot(y1)
                      6. hold on.
                      7. plot(y2)
                      8. plot(y3)
                      Oct 28, 2021

                      How to subplot two graphs in MATLAB? ›

                      Create a figure with two subplots. Assign the Axes objects to the variables ax1 and ax2 . Specify the Axes objects as inputs to the plotting functions to ensure that the functions plot into a specific subplot. Modify the axes by setting properties of the Axes objects.

                      How do I show two images together in MATLAB? ›

                      Display Pair of Images

                      Display two images as an overlay or montage by using the imshowpair function. Translate a copy of the peppers image and compare it to the original image. By default, imshowpair converts the images to grayscale and displays them as a falsecolor overlay.

                      How to combine two fig files in MATLAB? ›

                      If you do not want to see the plots of the individual figures, you can pass the parameter 'invisible' to “openfig()”.
                      1. close all;
                      2. h(1) = openfig('fig1.fig', 'invisible');
                      3. h(2) = openfig('fig2.fig', 'invisible');
                      4. h(3) = openfig('fig3.fig', 'invisible');
                      5. hold on;
                      6. k = gcf;
                      7. k.Visible = 'on';
                      8. title("Final Merged Figure");
                      Aug 4, 2020

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