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https://math.stackexchange.com/questions/157985/hausdorff-distance-via-support-function
Hausdorff distance between A and B is h (A, B) = max {h + (A, B), h + (B, A)} Support function of a compact convex set K is defined as c (y ∣ K) = max x ∈ K⟨y, x⟩ How to show that h (A, B) = max y ≤ 1 c (y ∣ A) − c (y ∣ B) I tried to use the Legendre transform but without success.
https://math.stackexchange.com/questions/3458607/lp-hausdorff-distance-between-convex-polytopes-using-support-functions
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https://en.wikipedia.org/wiki/Support_function
The support function of a compact convex set is real valued and continuous, but if the set is unbounded, its support function is extended real valued (it takes the value ∞). As any nonempty closed convex set is the intersection of its supporting half spaces, the function h A determines A uniquely.
https://www.sciencedirect.com/topics/computer-science/hausdorff-distance
Hausdorff distance was used by Ref. [6] in palm print matching, while the weighted Hausdorff distance was used for word image matching in both English and Chinese documents [7]. The detection and identification of the ventricles of the brain will add to this ever growing list of Hausdorff distance …
https://www.rdocumentation.org/packages/rgeos/versions/0.5-2/topics/gDistance
gDistance by default returns the cartesian minimum distance between the two geometries in the units of the current projection. If hausdorff is TRUE then the Hausdorff distance is returned for the two geometries. gWithinDistance returns TRUE if returned distance is less than or equal to the specified dist.
https://github.com/HaipengXiong/weighted-hausdorff-loss
Jun 23, 2018 · This loss function is a modification of the Average Hausdorff Distance between two unordered sets of points. The proposed method does not require one to "guess" the maximum number of objects in the image, and has no notion of bounding boxes, region proposals, or sliding windows.
https://social.msdn.microsoft.com/Forums/sqlserver/en-US/a4a23029-f589-40e1-a02c-7fd038dfe938/hausdorff-distance
Oct 20, 2011 · SQL Server don't have Hausdorff Distance function by default, like PostGIS ? How can I code a function which gets as input two polygons and returns a float with Hausdorff distance? I'm using SQL Server "Denali". Sincerely, João Vicente · No, there is no inbuilt function. The ST_Hausdorff function in PostGIS does not give a true Hausdorff distance ...
http://cgm.cs.mcgill.ca/~godfried/teaching/cg-projects/98/normand/main.html
One of the main application of the Hausdorff distance is image matching, used for instance in image analysis, visual navigation of robots, computer-assisted surgery, etc. Basically, the Hausdorff metric will serve to check if a template image is present in a test image ; the lower the distance …
https://www.mathworks.com/matlabcentral/fileexchange/29968-modified-hausdorff-distance
Jan 10, 2011 · The function computed the forward and reverse distances and outputs the minimum of both. Format for calling function: MHD = ModHausdorffDist(A,B); where MHD = Modified Hausdorff Distance. A -> Point set 1 B -> Point set 2. No. of samples of each point set may be different but the dimension of the points must be the same.Reviews: 8
https://www.mathworks.com/matlabcentral/fileexchange/27905-hausdorff-distance
Jun 15, 2010 · I 've tested the original code two times, before and after the modifications proposed in the previous comments. The results were identical. However, despite being minor changes, we felt more comfortable with the modified one. In our application, that is the final code of the Hausdorff function: function [dH] = hausdorff( A, B)Reviews: 11
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