wolfram mathematica plot 3d space curve from data

#Wolfram mathematica plot 3d space curve from data how to
#Wolfram mathematica plot 3d space curve from data skin
#Wolfram mathematica plot 3d space curve from data code

Surface ( x = x, y = y, z = z, surfacecolor = x ** 2 + y ** 2 + z ** 2 ), 1, 2 ) fig. cos ( v )) fig = make_subplots ( rows = 1, cols = 2, specs = ], subplot_titles =, ) fig. Here I had to use high level functions like FillingTransform or SelectComponents.Import aph_objects as go from plotly.subplots import make_subplots # Equation of ring cyclide # see import numpy as np a, b, d = 1.32, 1. The function mkImage does the relevant job of creating the correct images.

finally this graphic is converted into a mesh.

using RegionPlot3D a graphic is generated.

from this an interpolated function is defined.

Basically I create from a stack of those images a 3D array.

Hence a completely different approach was needed: Graphics, 3D Graphics 3D, Implicit Plot, ImplicitPlot3D, Surfaces, Minimal Surface, torus. ImplicitPlot3D allows the user to plot surfaces implicitly defined by an equation in three variables. Many simple surface (e.g., ellipsoids, hyperboloids, etc.) are not the graphs of functions of two variables. The problem here is that those slices contain more than just a single line/wire - and they have different meaning. Plot3D plots a function of two variables. The curves shown in this Demonstration map points in three-dimensional space to points on a one-dimensional line, and thus have properties that make them useful for certain types of data manipulation, such as image processing. negative form) of an human ear - with some typical 'complications' added like show by these slices: For example, consider the surface obtained by revolving the graph of. This graphic shows as an example an imprint (i.e. Place the text 3D Print Lab on a base plate using the same extrusion technique. The method above simply does not work! One reason is the possible big difference in the length of neighboring 'wires'. When data of more realistic structures are used, e.g.: The effect can also be seen by showing the vertical lines only (according to Vitaliy): I.e.now there appears to be no more mesh defects! Learning curve in mathematica is easier than Matlab.

#Wolfram mathematica plot 3d space curve from data how to

So with the friendly help of Thiel, Kaurov, Hurst one ends up with: This tutorial illustrates how to generate 3D plots in Matlab. The second idea was to transform everything into slices and then use Image3D. So - probably to everybody's disappointment - I do not want to print any BODY contour, but I imagined a BODY contour might serve here as kind of a 'honey pot'. I recently learned at a conference that there is the possibility to 3D print those individual flabs - if one can provide the data. Optimal flabs can have quite irregular shapes.

#Wolfram mathematica plot 3d space curve from data skin

When full dose at the skin is wanted, one has to anticipate this buildup effect, and this can be realized by putting a 'flab' onto the skin: A flab is a layer made of some tissue equivalent material. When high energy radiation is applied to a body it turns out that the dose next to the skin is highly diminished this is due to the buildup effect of the dose. Those treatment plans can be exported as DICOM files and nicely imported in Mathematica. the volume around the ears and nose appears to be exaggerated (for being on the safe side). There are probably hundreds of options and styles we can apply to customize. Dose will be calculated only inside this BODY contour, therefore e.g. This plots the curves x, x2, x3, and x4 between -1 and 1 on the same set of axes. One special contour is the 'BODY contour' this is what is shown in my example data. My simplest example has one of the surfaces as a reference sphere and the other as a circular cylinder whose size and location can be adjusted for study. Organs at risk and target volumes are defined by those contours. Given two 3D surfaces expressed as two 3D equations whose domains cause the 2 surfaces to intersect, plot the resulting 3D curve of intersection. There we are working with contours which are drawn on any single CT slice. The data stem from our radiotherapy treatment planning system. Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica.

)? Is there an already implemented way (a routine) I am missing? QUESTION: How can those data be converted into a single 3D Mathematica object (graphics, mesh.

#Wolfram mathematica plot 3d space curve from data code

After running the code ClearAllĬlearly the data describe a 3D object (as 'wire frame'). My data consist of a list of lists of points in 3D.

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