# Questions tagged [distance]

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### What is the closest star to Earth other than the sun?

How to find the Sun's nearest neighbor star using Mathematica? I tried but it didn't work
919 views

### Find the equidistance curve between two curves

I have three function $f(x)=x^x$, $g(x)=\ln(x)^{\ln(x)}$, $h(x)=\ln(x)^2$ and I want to find (numerically) $C$ the center of the circle tangent to the three curves. I think that one way is to find ...
486 views

### Pathfinding on 2D regions

How can I find a shortest or near optimal route between two points where the route is constrained within a 2D region? First, consider the following bundle of lines: ...
867 views

### Is ColorDistance symmetric?

Is the function ColorDistance symmetric, i.e. is it always true that ColorDistance[a,b] == ColorDistance[b,a], as use of the ...
420 views

### Is there a built-in function I can use to measure the similarity of two trees?

This is a higher level question, and I don't expect a full answer, but maybe a nudge in the right direction would help, or maybe there is a built in Mathematica function that does something very ...
5k views

### How do I find the Euclidean distance between one point and all the points in a list?

I want to find the Euclidean distance between one point (x1) and a list of points (y1), which contains a lot of coordinates x1 = killer[] {6.05102, 5.87667} ...
722 views

### How to get the distance of Jupiter from the sun?

I am aware of the command AstronomicalData["Jupiter", "Distance"] from which I can get the distance between the earth and Jupiter. Is there any way to use ...
650 views

### Distance measures on a map of a game

I have an image which my DM made of map for a DND game and I want to do two things. Click on two points on my map, then based on the key for scaling have Mathematica tell me how far apart those ...
215 views

### How to return the coordinates of the respective 3 vertexes of a DelaunayMesh's face?

I have a set of points pts1 and a point redPts as below:- ...
671 views

### Find smallest distance from a point to a Bézier curve

I wish to find the smallest distance from a point to a curved defined via a Bézier function. I want to do this automatically. For particular cases it is not to difficult. Here is a minimum working ...
1k views

### Find distance along a path (GPS coordinates)

I have an imported version of a GPX file plotting the route of a trail. I also have a list of coordinates for waypoints along the route. I am trying to calculate how far along the route each ...
150 views

### Challenging matrix sorting request?

I have an application in mind, and I need to do the following analysis, but am having a high degree of difficulty conceptualizing it in terms of syntax. I understand what I want, but cannot seem to ...
954 views

### Good way to create a similarity / distance matrix for a large dataset [duplicate]

I have a large dataset with rows (100k+) for products and columns for features. Now I want to create a similarity matrix with NormalizedSquaredEuclideanDistance. ...
63 views

### Force two distance matrices to use and show a common legend

I have two distance matrices. Both are comparing two entities in the same way. I create each matrix using ...
131 views

### How to TextRecognize sparse grid of tabular data?

I cannot give the actual image (contains private information) but the results of ...
440 views

### Mean distance beween nearest 2 coordinates

I have as an example the following 2d-coordinates: ...
462 views

### Distance between a point and a curve

I have the general equation of an elipse and a point P0: elipse=0.31368-0.113863x-0.00127066x^2+0.00329003y+0.000817666xy+0.0000929297y^2 P0={-6.4,172.0} I would ...
92 views

### Breaking a Kinked line into $(n-1)$ segments of equal Euclidean distance?

I'm wondering if anyone has a nice solution for breaking a kinked line into $(n-1)$ segments of equal euclidean distance? Here is a MWE of my attempt. I think it does the job, and I'm sure the code ...
70 views

### Improving performace of GeoDistance and NearestNeighborGraph

I am trying to construct a NearestNeighborGraph of the 3143 US counties, using their latitude and longitude positions. ...
105 views

### How do I plot a distance map in $R^2$ to a curve given in form $y=f(x)$?

As in the title, I'd like to display image using DensityPlot representing distance to a given curve, e.g., $y=x^2$. I find it difficult to derive distance ...
508 views

### What algorithm and tools should I use to search a data set for the point nearest to a given point?

I have about 1,000,000,000 points, which are the longitudes and latitudes of some places in a city, formatted like this: $(106.1231233,41.43234234)$. I also have about 20,000 points which are the ...
744 views

### Remove 2D points where nearest neighbor exceeds certain distance

I have the following 2D points: ...
822 views

### Find nearest distance of an interior point from perimeter

By definition, the interior point is a point inside an arbitrary region like this: In picture above, $y$ is an interior point of region. My question is how to find the distance of an interior point ...
123 views

### Distance between two cities

I need help calculating the distance between 2 cities in Wolfram MAthematica. I would need to create two drop-down lists of European capitals. After selecting any two cities from the lists, I would ...
158 views

### Why does MMA force a DistanceFunctions to be positive?

Consider the following piece of code: DistanceMatrix[Range, DistanceFunction -> Function[{x, y}, x - y]] I would have expected it to return a skew-symmetric ...
392 views

### How to make distance transform invariant to scale?

I am trying to use a distance transform as a descriptor to encode silhouettes in order to do a shape recognition task. It is clear that distance transform distribution is invariant under rotation and ...
390 views

### Find the smallest and largest distance between two points distributed in 3D space

Suppose I have some 3D points, e.g. {{0, 0, 1}, {0, 0, 1.3}, {0, 1, 0}, {1.2, 0, 0}}. Now I want to find the smallest and largest distance between two points. A ...
155 views

### FindShortestTour 3D data

I would like to plot a line in 3D with the following set of (x,y,z) data points: ...
152 views

### Negative Correlation Distance

Bug introduced in 8.0 or earlier and fixed in 11.2.0 CorrelationDistance[{-53.0, 4.3}, {-23.0, 5.4}] is a negative number. It is close to zero, to be sure, but ...
468 views

### Filtering a point cloud: How to reject some points in a 3D cloud of particles?

I'm having an issue with a 3D distribution of points. The distribution is really nice looking in Mathematica, but it is used in an OpenGL astronomy program (Celestia) to generate a nebula, with ...
74 views

### How to compute distance between movable items in the screen?

I want to design a box in which I can move a set of items. Specifically, there should be N items (e.g. little balls with numbers inside). Items can be arranged with the mouse inside a box, and, in ...
161 views

### How to get the coordinates of the closest point along a line?

I have a plot as below (the plot is just for illustration purpose. in my real problem, I just have pts1):- ...
468 views

### How to calculate the distance that from the pixel to image edges

I have such image: It is a binary image, I mean the pixel value is 0 or 1, but now, I hope to replace every pixel value with ...
141 views

### Distance between two points in a picture

I have this picture: I'de like to obtain the distance between two of these points. The black scale bar is 3$\mu m$. To do so, I import the image to Mathematica and call it pic. Then by finding ...
125 views

### Finding the shortest distance of two points and an area

So I have a region defined by something like MeshRegion[{{0, 0}, {1, 1}, {2, 1/2}, {2, -1/2}}, {Line[{1, 2}], Line[{2, 3}], Line[{3, 4}], Line[{4, 1}]}], and two ...
115 views

### Getting Distances from Nearest Function [closed]

I am fairly new to mathematica. I am trying to find a way to mock python's KDTree.query function in mathematica. Basically I have 9 vectors (each length two). I want to know the three closest vectors ...
113 views

I have a Delaunay mesh region. To start with, I give a simple example here: pts = RandomReal[{-1, 1}, {50, 2}]; R = DelaunayMesh[pts]; The next step I want to do ...
253 views

### Find time since last 0 in list

When I have a list of data (measured per day), is it possible to define a function that gives the nr of days since the data has been 0? I tried working withPosition...
145 views

### Get 3D surface grown by constant distance

There is a nice example of how to generate an isometric visualisation of surfaces which are at a constant distance from a given region. All these examples are just working on one single region. If one ...
102 views

### For an enclosed surface region, how to find the furthest point on that surface to another point that is not on that surface?

I have an enclosed 3D surface (a distorted sphere surface region, which is got by finding an enclosed contour of a 3D volumetric data, and apply RegionBoundary[BoundaryDiscretizeGraphics[ ]] to get ...
81 views

### Perpendicular chord lengths from the boundary points of an arbitary 2D shape

Let's generate an arbitrary convex domain with smooth boundaries: Graphics[BSplineCurve[{{1, 4}, {5, 3}, {9, 4}, {5, 5}, {8, 7}}, SplineClosed -> True]] I'...
81 views

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### How to speed up DistanceMatrix? [duplicate]

I need to compute a fast DistanceMatrix (euclidean distance) of a large vector. Let say x = Table[Sin[t],{t,1,10000}] But pre defined function Distancematrix[x] ...
143 views

### Finding points outside of a disk

Here I have a list of points on the plane: lst = RandomReal[{-5, 5}, {55, 2}]; and a disk with the radius r=1 drawn around ...