# Questions tagged [coordinate-transformation]

Questions relating changing coordinate systems of numerical points and analytical expression including vector fields and vector analysis.

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144 views

### Fill ParametricPlot3D into 3D solid shape

i have data point and transform it with matrix and plot with ParametricPlot3D and look like this my goals is to fill this and get the centroid with ...
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### How to create a pin cushion (or barrel) distortion from the square function on Cartesian coordinate?

I want to make a distorted square shape in 2D data set from a rectangular function. Here is my code to draw a square shape(Field length : 10, Square length: 5, Data num : 101). ...
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### How to find the conformal mapping between two regions?

As the Riemann Mapping Theorem, if both regions are simply connected regions, there must be a unique one-conformal mapping such that the points between the two regions correspond one-to-one. Can we ...
57 views

### How to transform the default coordinate when set up the mesh with FEM method?

I want to establish the electromagnetic field of the motor based on the finite element method, because the governing equations are different in different regions, so we need to first build the shape ...
59 views

### Functions for translating a vector from one coordinate system to another

I have a vector $\vec{H}$ with components in Cartesian coordinate system $(x,y,z)$: $\vec{H}=(0,0,H)$. I would like to obtain coordinate of this vector in Spherical coordinate system $(r,\theta,\phi)$....
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### Spherical coordinates Earth science convention

Earth science often uses a different convention for spherical coordinates than the spherical coordinates Mathematica defines by "Spherical". "Spherical" uses (radius, colatitude, ...
111 views

### Cannot work out a simple operation on coordinates

I am trying to substract a value, 172 from the x-value of a system of coordinates. I try: ...
132 views

### How to get an analytic function out of a set of points?

I have the given set of points: ...
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### Coordinate tool in mathematica fails to arrange the points in a preferred order

I am trying to extract the coordinates from a plot directly by using the Coordinate tool in Mathematica. I show this in figure below. The problem is that the arrangement of the coordinates does not ...
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### Repeated offset of line along vector and output of point tour

I would like to make a number of copies of a line along a vector (with a specified spacing) and then output a list of points at each end of the line sequenced in a back-and-forth tour. Any help is ...
51 views

### Polar to Cartesian coordinate transformations [duplicate]

I'm trying to plot the energy boundary function EBminus[r, \theta, LL, S, BB] using Polar to Cartesian coordinate transformations. The plot should be a closed curve....
1 vote
166 views

### How to use VectorPlot3D to visualize a solution of Navier-Stokes equations in cylindrical coordinates?

I try to solve axially symmetric Navier-Stokes equations in cylindrical coordinates. I have successfuly solved the equations, but I have troubles when I try to plot the solution, as VectorPlot3D does ...
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### Is it possible to change the coordinates / basis to an arbitrary choice?

I know Mathematica can change the coordinate system with the command ''CoordinateTransform''.For example, you can change the coordinates of an $(x,y,z)$ vector in cartesian coordinates like this. <...
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### Is it possible to use non-orthogonal 2D axes for plots in Mathematica?

I want to plot uni-variate functions using 2D plots but I want to be able to change the angle between the axes so that they are not perpendicular. Is this possible? I have looked through all the ...
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### Transforming the axes of a Contour Plot

I have contours of the following function $$\Psi(\nu,\mu) = -\frac{1}{4} e^{-2 \mu} \cos{2 \nu} - \frac{1}{2} \mu$$ in terms of $(\nu,\mu)$: I need to obtain the contours for $\Psi$ in terms of a ...
168 views

### How can we get coordinates of 3D vector with respect to a specific plane?

I have three vectors that are lying down in the 111 plane ...
205 views

### How is a 3D plot drawn in 2D from an arbitrary viewpoint?

I am working on a project that involves SciDraw. The SciDraw software is great for making high quality plots, but it is not compatible with any 3D plots. I need to add some relatively simple 3D plots -...
317 views

### Changing from cartesian to polar

I want to change the following integral to the polar form $$\int_{y=0}^a \int_y^{\sqrt{1-y^2}}(x^2+y^2) dx dy,\ a>0$$ in Mathematica.I would be highly obliged for any help
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### Spherical Polar Coordinates VectorPlot3D

I understand the VectorPlot3D function allows you to plot a 3D vector ${Vx,Vy,Vz}$ as a function of $x,y,z$. Is there a function that allows you to plot in ...
98 views

### help me to clarify the transformation of the functions by using Mathematica

help me to clarify the transformation of the functions by using Mathematica
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### Help converting Cartesian to Spherical Symbolically [closed]

I am attempting to use Mathematica for basic coordinate conversion symbolically but I am struggling to get it working. In the example below I am trying to convert from cartesian to spherical. Any help ...
287 views

### Solution this problem to illustrate the conformal mapping [duplicate]

Find the mapping of circle using confirmal mapping ( joukowski tansformation method) Assume w= z+1/z 〖z=re〗^iθ = 〖r(cosθ+isinθ)〗^1 ( a Circle with radius r and center (0,0))
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1 vote
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### Add gaussian noise to 2D Point

I implemented a program for a camera calibration in Mathematica with with prototypical data to see if my calibration works. Here I converted 3D object coordinates into 2D sensor coordinates. I have ...
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Writing: ...
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### Different results from polar and cartesian forms of a function?

I am trying to write up and study the given function: by the following Mathematica input (with N=5 and not infinity) ...
125 views

### Find centre of spiral similarity of two lines

I am trying to find a formula for the centre of spiral similarity (see here) of two lines, lineAB and lineCD. My problem comes ...
1 vote
62 views

### How to troubleshoot TransformedField functionality in Mathematica?

I list up this method to transform a complex function to Cartestian form, which can be used on virtually any function: such as: ...
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### Coordinate transformation can this be done with AffineTransform?

Looking for alternatives or improvements for accomplishing the following: Given the position of points A, B, and C in both the x-y and u-v planes, determine transformation functions to map values ...