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(1) abstract geometry; (2) storing geographic data in projected coordinates; (3) a generic ESRI term for vector features; a class for "geometry" objects.
8
votes
1
answer
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How to find the smallest-area ellipse circumscribing a convex polygon?
We are currently dealing with the problem of:
How to find an ellipse circumscribing a convex polygon?
Recent googling and lots of reading could not help me so much :(
9
votes
1
answer
2k
views
How to rank polylines according to their similarity to a ref polyline?
How to rank polylines according to their similarity to a ref polyline?
Update 1: simulations show that simple $\sqrt{\sum{(case-ref)^2}}$ can find better similarity between polylines (as set of poi …
30
votes
4
answers
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How to find the maximum-area-rectangle inside a convex polygon?
In this post we are looking for algorithms / ideas on how to find the maximum-area-rectangle inside a convex polygon.
In the following figure, numbers are the areas of the fitted rectangles. As shown …
43
votes
1
answer
47k
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Finding center of geometry of object?
Given a set of 2D or 3D points:
How to find the center of geometry of an object? … According to the following figure, the center of geometry differs from the center of mass if it is calculated in the simplest form i.e., homogenous density of mass. …
23
votes
1
answer
1k
views
Space filling between random 2D lines
Consider a region (2D) filled with lines randomly (following Figure). We are interested in filling the empty spaces between lines including four boundary edges in a way:
0- maximizing the size of par …
97
votes
8
answers
128k
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Finding minimum-area-rectangle for given points?
My proposal for solution:
Find the centroid of the polygon (see Finding center of geometry of object?) …