# Questions tagged [distance]

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1 vote
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### SameTest for arrays of points

I need to gather arrays of points by some intuitive SameTest, so for some tolerance the next arrays will be treated as the same: Next code looks like suitable for ...
1 vote
72 views

### Finding how far an image has moved a very small x distance

I am trying to process 200+ images (10 datasets, each set contains ~20 images) and see how much each image changes or moves compared to a starting position for a dataset. The problem is, I expect a ...
143 views

### How to find the distance from this point to a straight line?

Clear["Global*"] reg = ImplicitRegion[ x + k y == 0, {x, y}] pt = {-((a^2 k)/Sqrt[b^2 + a^2 k^2]), b^2/Sqrt[b^2 + a^2 k^2]} RegionDistance[reg, pt] Why ...
234 views

### How to approximate the distance from {x,y} to a hyperbola?

I can get a good approximation, but making this into a MMA algorithm is getting complicated. Consider this example: ...
895 views

### Find the farthest pairs of two points in 2-dim

I wonder if Mathematica can find the pairs of two points that are the farthest in a given list. Let's say a list, XYlist, of points with (x,y) coordinates. ...
1 vote
44 views

### Finding an optimal orientation and the oriented diameter of a given graph

I am wanting to specify a graph (a collection of vertices and edges) and find the optimal orientation of that graph. An orientation of an undirected graph is an assignment of a direction to its every ...
1 vote
74 views

164 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 ...
432 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 ... 109 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. ...
1 vote
151 views

### Possible bug in RegionDistance with RegionBoundary?

Code as simple as it is: ...
38 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 ...
109 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 ...
1k 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 ...
74 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: ...
163 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 ...
770 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: ...
212 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 ...
1 vote
214 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: ...
217 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 ...
1k 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 ...
77 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 ...
863 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 ...
68 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 ...
214 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 ...
161 views

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

I cannot give the actual image (contains private information) but the results of ...
108 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 ...
1 vote
106 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 ...
485 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 ...
722 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 ...
717 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 ...