# Questions tagged [distance]

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### 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: ...
38 views

### Total Variation Distance(between Gaussians)

I am interested in a tool that calculates the total variation distance between two multivariate Normal distributions. Any help will be much appreciated as I am a complete beginner.(So far, I have ...
87 views

### How to find the shortest distance between two regions?

I need to find the shortest distance between the two regions and the two points of the shortest distance, but the following code cannot achieve this requirement: ...
61 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 ...
456 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 ...
42 views

### Display minimum distance and minimum-distance path between two points on a polyhedron

Given a genus-zero polyhedron (e.g., PolyhedronData["Dodecahedron"]) and a point $P$ anywhere on its surface, color all points on the polyhedron by the length of ...
308 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 ...
55 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 ...
104 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 ...
113 views

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

I cannot give the actual image (contains private information) but the results of ...
87 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 ...
63 views

### How to change color of DistanceTransform image?

I want to overlay a set of points onto a distance transform of them. But, I don't really like the black default color of the distance transform. Is there a way to change this? Given the points ...
189 views

### Calculating the distance between two points and get direction [closed]

I am programming a molecular dynamics program with periodic boundary conditions. Here, I have a problem: I have a list of coordinates like ...
630 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 ...
275 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 ...
72 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'...
69 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 ...
395 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 ...
96 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 ...
796 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 ...
114 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 ...
207 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:- ...
125 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):- ...
230 views

### How to speed up DistanceMatrix?

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] ...
371 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 ...
288 views

### Find the value of parameter for the closest point on a curve

I can find the nearest point to {x0,y0} on a curve fast and easy by replacing the curve {x[t],y[t]} with line segments: ...
144 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 ...
202 views

### How to measure distance exactly from a graph?

Is there any way to measure a distance from a graph in centimeter or inch exactly in Mathematica? I tried to use toolbar Ruler but I can only use it to measure width horizontally and can't switch it ...
113 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 ...
167 views

### use of GeoDistance on WGS84 spheroid

The reference WGS84 describes the Earth as oblate spheroid with semi-minor axis (radius to poles) of 6356.752 km and semi-major axis (radius to equator) of 6378.137 km. I am considering the distance ...
119 views

### How can I subtract the components of these 2 solutions if the components are interpolating functions?

I have solved for solutions of the Lorentz system but for some reason Mathematica spit out InterpolatingFunction[] as components. Input 1: ...
74 views

### A measure of disconnectedness for points in the plane

I am inexperienced with Mathematica, so I apologize if I advertise my ignorance. I am trying to write a code that will assign a measure of 'disconnectedness' to a finite set $S$ of points in the ...
125 views

### Region and Infinite Line Intersection does not yield correct results with Maximize

I have a list of points pixelvaluepos that I can use to convert to a BoundaryMeshRegion. I also happen to know the centroid <...
107 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 ...
127 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 ...
135 views

### Generating matrix of distances between points in cylindrical coordinates

I am working on an analytical model for the sound intensity generated from a vibrating cylinder. Part of this work requires me to split the cylinder up into a number of elements, with the more ...
360 views

### Shortest distance path on contour plot

I have a contour plot made of the following list: ...
884 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. ...
70 views

### min distance in a graph

How would I find the min distance between two vertices in a graph. What function should I use? For example, in the above, $d(2,4)=2$ and $d(2,3)=1$
5k views

### 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
704 views

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

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

### Mean distance beween nearest 2 coordinates

I have as an example the following 2d-coordinates: ...
804 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 ...
149 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 ...
148 views

### FindShortestTour 3D data

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

### Discrete Measure between Binary Vectors

I would like a discrete distance measure between two binary vectors (or strings). Like HammingDistance but I want the vectors to be considered closer if they have ...
357 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 ...
987 views

### Mahalanobis distance between two vectors

I want to calculate the Mahalanobis distance between two vectors that represent two points. For example: ...
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 ...