Questions tagged [distance]

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42 questions
48 views

Calculating the distance between two points and get direction [on hold]

I am programming a molecular dynamics program with periodic boundary conditions. Here, I have a problem: I have a list of coordinates like ...
586 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 ...
125 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 ...
67 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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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 ...
336 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 ...
81 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 ...
383 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 ...
85 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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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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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):- ...
151 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] ...
191 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 ...
146 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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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 ...
144 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 ...
101 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 ...
126 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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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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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 ...
115 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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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 ...
110 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 ...
125 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 ...
289 views

Shortest distance path on contour plot

I have a contour plot made of the following list: ...
751 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. ...
56 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
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Remove 2D points where nearest neighbor exceeds certain distance

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

Mean distance beween nearest 2 coordinates

I have as an example the following 2d-coordinates: ...
727 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 ...
146 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 ...
140 views

FindShortestTour 3D data

I would like to plot a line in 3D with the following set of (x,y,z) data points: ...
136 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 ...
315 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 ...
745 views

Mahalanobis distance between two vectors

I want to calculate the Mahalanobis distance between two vectors that represent two points. For example: ...
755 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 ...
542 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 ...
454 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 ...
247 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...