Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

The tag has no usage guidance.

4
votes
1answer
84 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 ...
13
votes
2answers
411 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. ...
2
votes
1answer
55 views

How to project a 2D shape (Triangle) at a given angle

I am trying to take an equilateral triangle and get it's projection at an angle of 60 degrees. I have the triangle already (SSSTriangle[6, 6, 6]) and I have tried ...
2
votes
1answer
106 views

Fine-tuning stereographic stream plots

I would like to present Möbius transformations on the Riemann sphere. Having found the masterpiece answers to Mapping StreamPlot onto spherical surfaces, I am trying to adapt it to my case (those ones ...
7
votes
2answers
993 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 ...
5
votes
1answer
351 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 ...
5
votes
4answers
286 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: ...
4
votes
1answer
341 views

Building Projection Operators Onto Subspaces

Intro In quantum mechanics one uses projection operators in many problems / derivations. At the problem at hand I need to build projection operators (matrices) onto a subspace of my Hilbert space. I ...
2
votes
0answers
120 views

Re-projection of full disk satellite image

I am trying to re-project a full disk satellite image (see below) downloaded from JMA to Mercator projection. My understanding is that the image does not show the entire hemisphere (unless the ...
6
votes
1answer
316 views

Projections of a three-dimensional surface

Here comes some sample data ...
5
votes
1answer
469 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 ...
1
vote
1answer
267 views

Equal area projection of a sphere

I'm trying to create an equal area projection from a sphere. The sphere might not necessarily be the Earth. I would like, for instance, to use the Sun. Using the code ...
14
votes
2answers
2k views

How can I generate an interrupted projection of a world map?

How can I generate a world map like the one here, but for an arbitrary hand-drawn map? For example, starting from scratch, how can I manipulate this world map to get something that looks like ...
10
votes
2answers
2k views

Pixel perfect world map with no border lines

I'm trying to build a real world map in Minecraft and want a pixel-perfect raster image I can copy pixel for block. How can I modify ...
4
votes
0answers
222 views

Fan beam tomographic projections in Mathematica

I am embarking on a little project to redo some of my old MATLAB image processing code in Mathematica. I am particularly interested in tomography, and I know of the ...
-1
votes
1answer
123 views

Orthonormalization of a set of vectors

I know of the commands Orthogonalize[] and Normalize, but how can I combine them into one command that its output will be an orthonormalized list of the input vecotrs? Thanks in advance. P.S How to ...
15
votes
2answers
267 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?
3
votes
1answer
1k 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 ...
6
votes
1answer
376 views

GeoGraphics - mapping the Moon

The link here shows a nice way to depict the map of the Moon in Mathematica. But, is there a way to center the Mollweide projection onto the far side of the Moon?
9
votes
1answer
459 views

Petrie polygon projection of a hypercube graph

I am trying to generate the Petrie polygon projection of the 8-cube in Mathematica, like this one: I tried using, for example, the HypercubeGraph function: ...
0
votes
1answer
209 views

Is it possible to project a 3D contour plot onto two dimensional space? [duplicate]

I like to draw project of ContourPlot3D into "p-q" plane, but is it possible to do it with Mathematica? Here is my ContourPlot3D: ...
8
votes
1answer
252 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 ...
14
votes
1answer
589 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 ...
0
votes
1answer
270 views

4D rotations of 600-cell to make cell centered stereographic projection

I have made a 600-cell wireframe model from Eric Weinsteins' 2/13/14 600-cell notebook (600-cell: a regular polytope, 4D, analogous to the icosahedron, with 600 tetrahedral cells, 120 vertices, 720 ...
13
votes
2answers
1k 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 ...
6
votes
2answers
994 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 ...
-1
votes
2answers
247 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 ...
0
votes
2answers
2k 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:...
17
votes
1answer
436 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 ...
18
votes
2answers
1k 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 ...
2
votes
2answers
463 views

Projection of ListPointPlot3D on 2 axes

I am just starting to learn Mathematica and I was trying to get projection of the list of points in ListPointPlot3D. I read about ViewPoint option. It shows the axes I need but doesn't show the points ...
11
votes
2answers
1k 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 ...
9
votes
3answers
5k views

How to create an inverse pole figure color map

To interpret electron backscatter diffraction (EBSD) results, inverse pole figures are used. A three dimensional space of directions ([100], [110] and [111] for those who know about crystallography) ...
2
votes
1answer
526 views

Winkel Tripel and Robinson Projections?

How can I do WorldPlot with the WorldProjection -> Winkel Tripel or Robinson projections. Mathematica has Mollweide and several others defined, but not these popular projections adapted by National ...
3
votes
1answer
257 views

project from a n-dimensional space to 2-dim

let's say that I have a sphere in $N$-dimensions $$x_1^2+x_2^2+...+x_N^2=R$$ If I want to know the projection on the $x_1-x_2$ plane in this case I can figure out myself that is a circle, but how ...
19
votes
1answer
2k 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 ...
7
votes
3answers
423 views
1
vote
1answer
987 views

Projecting on an arbitrary plane

I have the following code, giving me a representation of a photon hitting a cylinder: ...
31
votes
2answers
2k 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: ...
1
vote
1answer
365 views

Plot a graph in a plane

I have a 3D graphics and i must plot a trajectory on a costant plane but i don't understand how to do this. With a simple Show[] command i can't do this. This is the code to plot the graphics: ...
7
votes
1answer
413 views

Digital Elevation Maps (DEM) are Warped yet ReliefPlot renders as a rectangle - how do i join?

I downloaded several USGS Digital Elevation Maps (DEM files) corresponding to 12 adjacent areas. Each file Imports[] into Mathematica and I can render the individual ...
1
vote
0answers
508 views

Automatic inverse for Lambert’s Azimuthal Equal-Area Projection

I’m interested in finding closed-form inverses for map projection equations in general (of course, this is not always possible). I’m hoping Mathematica can help me with some of the trickier ones. As ...
46
votes
3answers
3k views

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++, ...