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May 22, 2024 · Concavity provides valuable insights into how a function curves, distinguishing between concave upward and concave downward shapes, while points of inflection mark locations where the curvature changes sign.
Apr 12, 2024 · Inflection Point is a point of the function where the concavity of the function changes. Learn more about inflection point along with methods to find the inflection point of a function in this article.
Jul 30, 2019 · Here is a github repo on finding the concave hull for a set of points using python. My recommendation to you is the following. Create a set of points using the endpoints of each line. Then use the linked to code to generate a concave hull for these points, with some guess for the value of alpha.
R has the alphahull module, which has excellent documentation on computing alpha shapes. Also check this detailed background on alpha shapes. If you only want to compute convex/concave hulls, check out lasboundary, part of lastools, it scales well and can handle millions of input points.
Mar 3, 2024 · The one-liner function is_concave_convex_hull leverages scipy.spatial.ConvexHull to quickly determine if the given points form a concave polygon. The comparison of vertex count to points count is a clever shortcut and computationally efficient, assuming the use of this third-party library.
The concavity of the graph of a function refers to the curvature of the graph over an interval; this curvature is described as being concave up or concave down. Generally, a concave up curve has a shape resembling "∪" and a concave down curve has a shape resembling "∩" as shown in the figure below. Concave up.
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What is a concave inflection point?
In our first example, we established the concavity of the function by using the second derivative. In our next example, we will look at how to determine whether a function has any inflection points.
