Questions tagged [distance]

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How to find PlanarAngle[] across periodic boundaries?

Suppose we have a collection of points selected as being within a certain radius (0.1) of myCenterPoint: ...
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0 votes
1 answer
97 views

Efficient algorithm for Euclidean distance on a lattice [closed]

I am unable to code the problem in Mathematica. For the problem, please see the attached image. Help in this regard will be greatly appreciated. The statement of the problem is as follows: Consider a ...
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  • 21
1 vote
1 answer
83 views

Earth Mover Distance/Wasserstein Distance Of Two Lists

I am in need of calculating the Earth Mover Distance between two one-dimensional discrete distributions with finite support (a.k.a "two lists of identical length whose entries add up to 1"). ...
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2 votes
1 answer
50 views

How to find the position of the closest part to a certain sentence in a large paragraph?

I have a large paragraph, the part of which is near to(not always equivalent to) one given sentence. Now I want to find the position of this part. For example, my paragraph is below (for convenience, ...
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0 answers
29 views

Extracting GraphDistance out of SpatialGraphDistribution

I am trying to generate a graph which has Euclidean distances between the vertices. The documentation for SpatialGraphDistribution says that ...
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  • 379
1 vote
0 answers
40 views

Accelerate the distance function of two point sets

I have two point sets point and impPoint. I want to calculate a distance function from each element in the ...
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  • 141
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0 answers
33 views

The smallest (and biggest) distance of points from the function

please give me an advice. I have points ("data", x and y coordinates). For these points, I created a residual function ...
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  • 41
2 votes
1 answer
114 views

How to find the minimum Hamming distance?

I have a vector $v = (9, 2, 3, 4, 8)$. Vector space over $\mathbb{Z}_{11}$ is generated by a set: $e_{1} = (4, 2, 0, 0, 1)$, $e_{2} = (1, 9, 0, 1, 0)$, $e_{3} = (5, 0, 1, 0, 0)$, $e_{4} = (0, 7, 0, 0,...
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4 votes
1 answer
161 views

Why does MMA force a DistanceFunctions to be positive?

Consider the following piece of code: DistanceMatrix[Range[10], DistanceFunction -> Function[{x, y}, x - y]] I would have expected it to return a skew-symmetric ...
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  • 373
3 votes
1 answer
194 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 ...
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5 votes
1 answer
86 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. ...
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1 vote
1 answer
129 views

Possible bug in RegionDistance with RegionBoundary?

Code as simple as it is: ...
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0 answers
29 views

FindClusters Hamming Distance giving error

I am trying to run FindClusters[hex, DistanceFunction -> HammingDistance[IntegerDigits[#, 2, 8], IntegerDigits[0, 2, 8]] &] over a list of data but I keep ...
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1 answer
54 views

How can I plot various points on a world map and compare distances?

How can I plot various points on a world map and compare distances? For example, the distance between Jerusalem and Westford, MA compared to the distance between Westford, MA and Recife, Brasil? Then ...
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17 votes
4 answers
977 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 ...
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0 votes
1 answer
68 views

Maximize a simple expression based on EuclideanDistance takes too long

Do you know if there is a mistake in this command syntax? It is very simple and still it takes too long. I cannot obtain any result at all: ...
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2 votes
2 answers
153 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 ...
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18 votes
4 answers
592 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: ...
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0 answers
109 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 ...
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  • 101
1 vote
2 answers
146 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: ...
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2 votes
1 answer
125 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 ...
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  • 367
7 votes
4 answers
827 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 ...
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2 votes
0 answers
60 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 ...
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5 votes
2 answers
562 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 ...
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  • 51
6 votes
1 answer
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 ...
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  • 1,001
4 votes
1 answer
135 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 ...
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  • 41
6 votes
1 answer
141 views

How to TextRecognize sparse grid of tabular data?

I cannot give the actual image (contains private information) but the results of ...
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  • 39.3k
5 votes
2 answers
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 ...
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1 vote
2 answers
78 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 ...
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  • 1,303
0 votes
1 answer
344 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 ...
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10 votes
2 answers
664 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 ...
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  • 676
3 votes
2 answers
490 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 ...
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  • 902
2 votes
1 answer
85 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'...
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3 votes
1 answer
75 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 ...
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14 votes
3 answers
437 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 ...
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  • 1,397
5 votes
1 answer
109 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 ...
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  • 153
7 votes
2 answers
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 ...
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  • 1,683
3 votes
0 answers
136 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 ...
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  • 1,941
10 votes
2 answers
231 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:- ...
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  • 3,389
3 votes
1 answer
182 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):- ...
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  • 3,389
2 votes
0 answers
242 views

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] ...
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3 votes
2 answers
520 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 ...
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  • 23.1k
1 vote
3 answers
482 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: ...
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3 votes
2 answers
162 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 ...
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2 votes
1 answer
229 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 ...
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  • 2,147
3 votes
0 answers
123 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 ...
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  • 31
0 votes
1 answer
196 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 ...
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  • 1
2 votes
1 answer
164 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: ...
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1 vote
1 answer
76 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 ...
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  • 11
1 vote
2 answers
133 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 <...
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