Algorithm for calculate the “average” distance between two circular arcs [closed]?

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Summary: how can one calculate the minimum, maximum, and average distance (for some definition of average) between two given circular arcs. Details: The first problem is to calculate the minimum and maximum distance between two points: I have two fixed points in a two dimensional space (call it Fixed Point A and B) in x(A),y(A) and x(B),y(B). A and be is given data.

The Fixed Point A has an arc "AA" with a given radius rA, Fixed Point B also has an arc "AB" with a given radius rB (rA! = rB) For each AA and AB you know the angles, let's say that AA goes from 15º to 60º and AB goes from 55º to 110º. Given that, do you know an algorithm to get the minimum and maximum possible distance between these two arcs?

The second question is how to get an "average" distance between these two arcs. Algorithm geometry geospatial computational-geometry link|improve this question edited Dec 28 '11 at 16:16Saeed Amiri10.9k630 asked Dec 27 '11 at 21:15Mig606.

3 This question really needs some cleaning up, I can't really understand what is being asked. In the first sentence, points should be arcs? Does time/velocity matter in the movement?

What do you know about the arcs? Do you only a point on the arc and the radius of the arc, but not the center? – rrenaud Dec 27 '11 at 21:57 -mpoints are arcs, no time or velocity, only static geometry.

About the arcs the center is kwown, the radius is also kwown. – Mig Dec 28 '11 at 0:17 1 The essence of your question, I believe, is: how can one calculate the minimum, maximum, and average distance (for some definition of average) between two given circular arcs. Everything else in your problem statement is irrelevant detail.

Is this correct? – Ted Hopp Dec 28 '11 at 2:31 Ted: yes, that is the core of the question. – Mig Dec 28 '11 at 3:08 sure maximum distance is between arcs endpoints, and if they don't have common point.

Minimum distance is again within two of endpoints, but if they have intersection minimum distance is 0, but for finding they have any intersection or not, you should solve related equation, but I don't know how exactly write arcs related equation(with specific start and end and radius), I think simple google search will help you. – Saeed Amiri Dec 28 '11 at 16:23.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.