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hausdorff distance

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hausdorff distance - HD
Publications: 1,395| Citation Count: 10,306
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    • The Hausdorff distance is a measure defined between two point sets, here representing a model and an image. The Hausdorff distance is reliable even when the image contains multiple objects, noise, spurious features, and occlusions. In the past, it has been used to search images for instances of a model that has been translated, or translated and scaled, by finding transformations that bring a large number of model features close to image features, and vice versa...

    William J. Rucklidge. Efficiently Locating Objects Using the Hausdorff Distance

    • The Hausdorff distance is a measure for the resemblance of two geometric objects. Given a set of n point patterns and a query point pattern Q , the nearest neighbor of Q under the Hausdorff distance is the point pattern which minimizes this distance to Q ...

    Christian Knaueret al. Approximate Nearest Neighbor Search under Translation Invariant Hausdo...

    • The Hausdorff distance is a very important metric for various image applications in computer vision including image matching, moving-object detection, tracking and recognition, shape retrieval and content-based image analysis. However, no efficient algorithm has been reported that computes the exact Hausdorff distance in linear time for comparing two images. Very few methods have been proposed to compute the approximate Hausdorff distance with higher approximation error...

    M. Julius Hossainet al. A Linear Time Algorithm of Computing Hausdorff Distance for Content-ba...

    • The Hausdorff distance is a measure defined between two sets in some metric space...

    William Rucklidge. Lower Bounds for the Complexity of the Graph of the Hausdorff Distance...

    • The Hausdorff distance is a very natural and straightforward distance measure for comparing geometric shapes like curves or other compact sets. Unfortunately, it is not an appropriate distance measure in some cases. For this reason, the Fréchet distance has been investigated for measuring the resemblance of geometric shapes which avoids the drawbacks of the Hausdorff distance...

    Helmut Altet al. Comparison of Distance Measures for Planar Curves

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