Questions tagged [projection]

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52 votes
4 answers
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Mollweide maps in Mathematica

Context In my field of research, many people use the following package: healpix (for Hierarchical Equal Area isoLatitude Pixelization) which has been ported to a few different languages (F90, C,C++, ...
chris's user avatar
  • 22.8k
21 votes
2 answers
570 views

Why does the GeoGraphics Frame show different Latitude than GeoPosition?

The map looks right, but the Latitude in the Frame looks wrong. Am I making a mistake or is this a bug?
vonkohorn's user avatar
  • 471
15 votes
2 answers
3k views

Mapping StreamPlot onto spherical surfaces

Suppose I have some vector field equations $(f(\theta,\phi), g(\theta,\phi))$. The StreamPlot can be created easily in 2D, but I would like to visualize the stream ...
unsym's user avatar
  • 555
14 votes
2 answers
5k views

2D projection of a 3D surface

The following post (Projection of a 3d curve to 2d) explain how to project a 3D curve on 2d. Now there is a command which permit the Porjection of ImplicitRegion. But I have a function ...
cyrille.piatecki's user avatar
-1 votes
2 answers
696 views

Projectile motion with air friction

I need to find the x and y components of a projectile's position, its velocity at any evaluation point, time of flight, range, and maximum height. I have already made the code for a projectile ...
user700's user avatar
24 votes
2 answers
5k views

How do I map a Mollweide projection onto a sphere?

I have this Mollweide projection of the Earth circa 600 million years ago (http://jan.ucc.nau.edu/~rcb7/370moll.jpg).(1) I want to map this onto a sphere. My results have big black splotches in the ...
Bifford's user avatar
  • 241
19 votes
2 answers
2k views

Using map projections with astronomical data

I noticed that all important "Geoprojections" are available in projections for a spherical reference models: GeoProjectionData function; 1 - I am trying using the sinusoidal projection for ...
locometro's user avatar
  • 861
17 votes
1 answer
498 views

GeoGraphics: problem with GeoPosition in shifted projections

Bug introduced in 10.0.0 and fixed in 11.0.0 A remark about the answer: My work around is only nice for simple cases with points. More general should include proper polygons splitting on antimeridian....
Kuba's user avatar
  • 137k
14 votes
1 answer
906 views

GeoProjection for astronomical data - wrong ticks

Here is an excellent answer to what I wanted to do, and it works like a charm. Unfortunately, when I want to change it a bit, it fails. For setting the stage, here is the datafile, and this is my ...
corey979's user avatar
  • 23.9k
7 votes
1 answer
1k views

Converting 3D graphics to 2D for better export

I noticed that exporting a Graphics3D object into a vector graphics format, like SVG or PDF, produces a rasterized version of the graphics, while 2D objects are ...
enzotib's user avatar
  • 1,094
5 votes
1 answer
3k views

Projection of a 3d curve to 2d

This question is related to: How to obtain the coordinates of the intersection line of two surfaces? Read the link first. First, I have tried ...
Qi Zhong's user avatar
  • 1,037
19 votes
1 answer
3k views

How to map an image to get an illusion of 3D

I would like to distort or map a given JPEG so that it looks 3D when viewed from certain angle, as in this YouTube video. The most interesting part of the video: I usually use conformal mapping (a ...
Dr. Parasolian's user avatar
18 votes
4 answers
3k views

Isometric perspective for Graphics3D

Is it possible to render Graphics3D in an isometric projection? I know that the ViewPoint option can be used for orthogonal ...
Martin Ender's user avatar
  • 8,774
10 votes
1 answer
280 views

Testing visibility and projecting in Graphics3D

I'm trying to create a version of Alberti's window, a figure that represents the projection of a three-dimensional figure onto a two-dimensional plane. Here are my steps: 1) Create the three-...
David G. Stork's user avatar
8 votes
1 answer
2k views

Exporting 2D projection of 3D graph in SVG form

For 3D, Mathematica does not export SVG as vector graphics, it just puts an encoded png image inside svg file. Same happens if one exports as .eps or .pdf This question does not address the problem ...
Lagrangian's user avatar
6 votes
2 answers
2k views

Projection of triangles onto a sphere

I am trying to find the solid angle taken up by a large set of triangles around a central point. I have normalized the vertices of the triangles to a unit sphere around the central point, But the ...
Simon Ewing's user avatar
4 votes
1 answer
905 views

Projecting 3D Mesh Region onto 2D Plane

For vizualization purposes in a beamer presentation I would like to project a 3D MeshRegion like ConvexHullMesh[RandomReal[{-1, 1}, {50, 3}]] onto a 2D plane. How ...
Robert Rauch's user avatar
0 votes
2 answers
3k views

Projectile motion in Mathematica using Euler's method [duplicate]

I need to write the equations of a ball in projectile motion (ignoring air friction) with an initial velocity of 40 m/s at an angle of 40° with respect to the horizontal. Specifically, I need to write:...
user700's user avatar
35 votes
2 answers
3k views

Peirce's quincuncial projection

The Peirce quincuncial projection is the cartographic projection of a sphere onto a square. In short, I would like to see it implemented in Mathematica. Here is my code: ...
Sasha's user avatar
  • 7,373
19 votes
2 answers
971 views

Project map to a particular shape

I want to project a map to a particular shape, like a circle or ellipse. For example, let's imagine we want to project a map of the continental United states so that its outline is that of a circle. ...
Tyler Durden's user avatar
  • 4,080
8 votes
1 answer
631 views

Projections of a three-dimensional surface

Here comes some sample data ...
Vaggelis_Z's user avatar
  • 8,730
8 votes
1 answer
324 views

Creating a certain image (3D shadows, highlighted intersections)

I would like to learn how to code within Mathematica the following picture: I tried using ...
boldbrandywine's user avatar
7 votes
3 answers
552 views

Riemann-Spherical Projection of Network onto the $\mathbb{R}^2$-Plane

I'm trying to find a way to plot the graph ...
Loie Benedicte's user avatar
6 votes
4 answers
672 views

How to plot a color consistently in Plot3D with 2D projection curve?

I use this code to draw three-dimensional surfaces and show the curves at the bottom. But does not give me the result required: ...
Emad kareem's user avatar
6 votes
2 answers
383 views

What is simpler way to find projection of a point on a plane?

This is my code to find the coordinate of projection of the point pA = {2, 3, 5} on the plane -284 + 14 x + 2 y + 5 z == 0. <...
minhthien_2016's user avatar
4 votes
1 answer
1k views

2D projection of a 3D plot [duplicate]

how we can obtain a 2D projection of 3D plot. I would to have a plot like this : PS: the plot is a publication paper.
Radia B's user avatar
  • 41
0 votes
2 answers
102 views

Projections of set on coordinate planes

I want to take the projection of this ellipsoid into x-y, y-z and z-x plane. How can I do it? ...
Sahabub Jahedi's user avatar