Hausdorff distance 3d 3D-Hausdorff-Distance-Calculator is a Python tool designed to calculate the Hausdorff distance between two 3D models provided in STL format. I want to compute the dice score, Hausdorff distance, Jaccard index, and average surface distance. The directed The right-hand column shows 3D Hausdorff distance, a difference in the extent contoured for the spinal cord results in a 3D Hausdorff of about 8 cm. This is from Plastimatch. This group of surface distance based measures computes the closest distances from all surface points on one segmentation to the points on another surface, and returns performance metrics between the two. In medical image segmentation, it is used to compare ground truth images with segmentations allowing their ranking. There are many variants of the Hausdorff. I want to adjust the interval to be at 1mm and 5mm. norm: int indicates the norm used for the distance. The Hausdorff distance is the longest distance someone can be forced to travel by an adversary who chooses a point in one of the two sets, from where they then must travel to the other set. Hausdorff distance measure is very important in CAD/CAE/CAM related applications. Mach. These events include simple cases where foot points of vertices are examined as well as more complicated cases where extreme distance evaluation is The Hausdorff distance is defined on two subsets of a common metric space. Using "max" leads to the Hausdorff distance. We explain what is Hausdorff distance, an give an algorithm for computing it in linear time for convex polygons. This distance can be used to estimate motion of an object from one frame to the next or to measure the shape similarity between two 3D objects represented by meshes. loss. This distance is different from some of the Hausdorff distance is a mathematical technique used to measure the similarity between two objects or sets. pytorch3d. For e. In both instances the contouring might otherwise be considered good. I want to be able to do a Hausdorff distance calculation of the histology slide segment (with a certain threshold applied) against the original CT segment (with another threshold applied), however, Slicer’s module only does 3D calculations. Apr 10, 2025 · 1. The Hausdorff distance is the maximum distance between any point on the first set and its nearest point on the second set, and vice-versa. It offers a mathematically rigorous way to measure the "farthest" distance between two sets of points. As the Abstract We present an exact algorithm for computing the precise Hausdorff distance between two general polyhedra represented as triangular meshes. Here’s how it works: for every point on one surface, the closest Aug 1, 2017 · Abstract Hausdorff distance measure is very important in CAD/CAE/CAM related applications. 2015 37 2153-2163 [26] Taha AA and Hanbury A Metrics for evaluating 3D medical image segmentation: analysis, selection, and tool BMC Med. This loss function is a modification of the Average Hausdorff Distance between two unordered sets of points. Is this the boundary Hausdorff? Thanks Jan 21, 2022 · import SimpleITK as sitk import numpy as np import pandas as pd ''' This script provides a set of metrics for medical image segmentation. and Hausdorff distance calculated in 2D (slice by slice) or 3D as a comparison of two 3D objects? Thank you for any explanation how are these measures calculated in the background. ply") # p2 is an (m, 3)-shaped numpy array containing one point per row p2 = pcu. Further-more, Mesh, an efficient implementation of the Hausdorff distance for triangular meshes is presented and evaluated. It receives the optional argument distance (string or callable), which is the distance function used to compute the distance between the rows of X and Y. However, existing segmentation methods do not attempt to reduce HD directly. Novel as it is the first time in the literature that an actual algorithmic Nov 1, 2010 · We present an exact algorithm for computing the precise Hausdorff distance between two general polyhedra represented as triangular meshes. This is similar to the problem of matching protein motifs within protein sequences. It calculates the maximum distance between a point in one set and the nearest point in the other set. python hpc blender computer-graphics mpi parallelism 3d-models mpi4py trimesh hausdorff-distance Updated on Jul 16, 2023 Python Aug 22, 2022 · Would it be right to compute the Hausdorff distance slice-wise, i. Jun 28, 2017 · This manuscript presents an efficient framework and two complementary subalgorithms to directly compute the exact Hausdorff distance for general 3D point sets. Generator or None, optional Apr 26, 2016 · I am trying to find the deviation between two meshes. single_directional: If False (default), loss comes from both the distance between each point in x and its nearest neighbor in y and each point in y and its nearest neighbor in x. Hi, For the segment comparison, the Hausdorff distance gives the Maximum, Average and 95%. Comparison with the commonly used vertical aperture reveals significant advantages in imaging of the possible aperture bottlenecks present in the fracture volume. The code should work for images of any dimension. Hausdorff Distance: Measuring Surface Deviation The Hausdorff Distance is a key metric used to evaluate the accuracy of 3D models by measuring the largest deviation between points on two surfaces. rngint or numpy. Feb 9, 2021 · We propose Hausdorff distance as a 3D aperture metric for the rough-walled 3D rock fracture. In this paper, we present novel loss functions for training convolu-tional neural network (CNN)-based segmentation methods with the goal of reducing HD directly. This work is based on the reduction of the Hausdorff distance between an original point cloud (high point density) and a simplified point cloud (low point density) of the same 3D object. Jul 16, 2024 · A package to compute different segmentation metrics for 2D/3D medical images. e. Can output mean Therefore, Hausdorff distance is suit- able for measuring similarity between 3D models in engineering practice. Each file/slice contains the segmentation of multiple regions (seven regions). A Python tool for calculating the Hausdorff distance between two 3D models in STL format. The Hausdorff distance is a measure of the degree of mismatch between two sets. Although popular, its main weakness is computing power consumption, being one of the slowest set distances. Distances between pairs are calculated using a Euclidean metric. How do I print out what the interval is and how would I change it? Another problem I have it trying to print out the Hausdorff distance for each slice or whatever the interval Oct 7, 2024 · [25] Taha AA and Hanbury A An efficient algorithm for calculating the exact Hausdorff distance IEEE Trans. Which computes the Hausdorff distance between the rows of X and Y using the Euclidean distance as metric. It is often critical to know the sign of the distance. Two sets are Undergraduate tutorial on Hausdorff distance. International Conference on Pattern Recognition, pp 566–568, 1994. In that field, a typical problem is that you are given an image and a model of what you want to match to. This does not compute the 95th percentile distance SurfaceHausdorff - Calculates the surface Hausdorff distance. First of all remember that the Hausdorff Distance between two meshes is a the maximum between the two so-called one-sided Hausdorff distances (technically not they are not a distance): These two measures are not symmetric (e. It is named after Felix Hausdorff. We identified, Jun 18, 2025 · where \ (\Vert p_1,p_2\Vert \) is the euclidean distance between points \ (p_1\) and \ (p_2\). Both are superimposed in the same space to reorder the points in the simplified cloud considering the points of Hausdorff Distance # This example shows how to calculate the Hausdorff distance between two sets of points. I tried the directed_hausdorff # directed_hausdorff(u, v, rng=0, *, seed=None) [source] # Compute the directed Hausdorff distance between two 2-D arrays. Aug 27, 2025 · Introducing Hausdorff Distance: A Foundational Metric for 3D Similarity At the heart of precise 3D model comparison lies Hausdorff Distance, a fundamental concept rooted in computational geometry. To calculate the distance from a point to a convex polygon you first have to test whether the point is inside the polygon (if so the distance is 0), and then if it is not find the minimum distance to any The following code computes the one-sided Hausdorff distance between two point clouds: import point_cloud_utils as pcu # p1 is an (n, 3)-shaped numpy array containing one point per row p1 = pcu. This tool allows users to quantitatively compare the differences between two 3D shapes, providing insights Nov 1, 2011 · The Hausdorff distance is a useful measure of the similarity between geometric objects. the results depends on what mesh you set as X or Y). In this work, a novel, parallel and locality-oriented Hausdorff distance implementation is proposed. Do try the examples in the help collection of Python scripts for 3D Slicer to automate and simplify tasks in medical image analysis. Jan 10, 2010 · Now you are ready to start the Hausdorff distance filter. For example, if I want to quantify the coverage of the tumor area given the defined ablation region, unsigned HD of 5 mm does not tell me whether tumor region is Undergraduate tutorial on Hausdorff distance. It turns the set of non-empty compact subsets of a metric space into a metric space in its own right. See for example: "A Modified Hausdorff Distance for Object Matching," MP Dubuisson and AK Jain, Proc. The goal is to find all the locations in the image which match the model. The locus o… 我又来更新啦，今天带来的内容是 Hausdorff distance 豪斯多夫距离的原理介绍及MindSpore的实现代码。当我们评价图像分割的质量和模型表现时，经常会用到各类表面距离的计算。比如： Mean surface distance 平均表… The Hausdorff distance and the “CloudCompare” software, offers a comprehensive assessment of the differences between two 3D mesh surfaces by using a color palette, the user being able to quickly and accurate identify the errors of the 3D surfaces that was compared with a reference surface considered with no errors. Apr 19, 2022 · Hi, I have NIFTI files of sizes (512 x 512 x 150) of auto-segmentation and manual segmentation. In this paper the Hausdorff distance and its application to distance measurements between 3D models have been introduced. The Hausdorff distance is a measure of the maximum discrepancy between two sets of points, making it useful for comparing 3D shapes, particularly when Read An efficient approach to directly compute the exact Hausdorff distance for 3D point sets Jan 23, 2024 · Activity Hausdorff distance calculation in SegmentComparison module Support slicerrt 20 5833 October 10, 2018 Calculating margin between two superimposed segments Support segmentation , extensions-manager 1 348 January 9, 2018 Segment comparison returns 0 for all metrics Development slicerrt 15 683 July 5, 2019 Segment Comparison - Hausdorff Mar 10, 2019 · Noticing that all Hausdorff distance functions I could find on MATLAB File Exchange seem to compute all pairwise point-to-point distances making them very slow for large images, I felt compelled to write a version imhausdorff which uses a distance transform, bwdist, and thus scale linearly for large image data. , slice by slice, and afterwards average all the slice Hausdorff distances obtained? Or does this approach violates the Hausdorff distance principle for 3D data? 设 X 和 Y 是度量空间 M 的两个紧子集。那么豪斯多夫距离 dH (X, Y)是最小的数 r 使得 X 的闭 r —邻域包含 Y， Y 的闭 r —邻域也包含 X。换句话说，若 d (x, y) 表 M 中的距离，那么 这距离函数令 M 的所有紧子集组成的集成为度量空间，且记为 F (M)。 F (M)的拓扑只是依赖于 M 的拓扑。若 M 是紧的，则 F (M 3D-Hausdorff-Distance-Calculator is a Python tool designed to calculate the Hausdorff distance between two 3D models provided in STL format. Intell. point_mesh_edge_distance(meshes: Meshes, pcls: Pointclouds) [source] Computes the distance between a pointcloud and a mesh within a batch. This manuscript presents an efficient framework and two complementary subalgorithms to directly compute the exact Hausdorff distance for general 3D point sets. Jun 1, 2021 · This paper proposes a novel algorithm for fast and accurate Hausdorff distance (HD) computation. In case of string, it could be any of Sep 24, 2022 · I would like to compute the Hausdorff distance between two 3d tensors in pytorch using GPU’s Do we have any inbuilt function or source code for Hausdorff distance between two 3d tensors Oct 5, 2018 · Currently, Hausdorff distance calculation in Segment Comparison is unsigned - switching the order of segments used for comparison does not change the result of calculation. Jan 1, 2017 · This manuscript presents an efficient framework and two complementary subalgorithms to directly compute the exact Hausdorff distance for general 3D point sets. The Hausdorff distance is the maximum distance from a point in one set to the closest point in the other set. Informally, two sets are close in the Hausdorff distance if every point of either set is close to some point of the other set. load_mesh_v("point_cloud_1. The Hausdorff distance is used to measure the similar… Jun 12, 2012 · Therefore the Hausdorff distance is not too hard to calculate if you can calculate the distance from an arbitrary point to a convex polygon. The locus of candidate points, events where the Hausdorff distance may occur, is fully classified. Jan 1, 2013 · In this paper the Hausdorff distance accuracy in the differences evaluation process between 3D mesh surfaces, was tested, as well as the ALS data precision. We propose three methods to estimate HD from the Jan 1, 2022 · Given two shapes A and B in the plane with Hausdorff distance 1, is there a shape S with Hausdorff distance 1/2 to and from A and B? The answer is alw… Nov 29, 2018 · Hi! How do I get Slicer to calculate the distance between two segments in 3d space? By fiddling with the ruler endpoints I cannot be sure that I’m acually measuring the minimum distance between the segments, and it is also quite inconvenient. In other words, it is the greatest of all the distances from a point in one set to the closest point in the other set. Hausdorff distance calculation using Matlab In mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from each other. The algorithm was proposed by Atallah (1983), and is illustrated with an interactive applet. v(O,N) array_like Input array with O points in N dimensions. Does Slicer have some way to automatically determining the minimum distance between two segments? Best regards, Torquil Sørensen Mar 2, 2020 · Jump to: navigation, searchHome < Documentation < Nightly < Modules < SegmentComparison Average Hausdorff distance is a widely used performance measure to calculate the distance between two point sets. Abstract. Includes tools for image registration, segmentation handling, and DICOM processing, aimed at im Abstract—The Hausdorff Distance (HD) is widely used in eval-uating medical image segmentation methods. 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. Current functions: DiceSITK - Wrapper for SimpleITK Dice coefficient HausdorffSITK - Wrapper for SimpleITK Hausdorff distance. As input to forward and update the metric accepts the following input: Feb 6, 2024 · The question: I am comparing 2 objects, 1 is 3D segmentation, the 2nd is also 3D object but generated from 2D structures (in CT slices). Is Dice coeff. ply") # Compute the chamfer distance between p1 and p2 hd_p1_to_p2 May 8, 2024 · I am trying to find the Hausdorff distances in the Segment Comparison module between two catheters but I don’t know what the interval is for the Hausdorff metric. The Hausdorff distance is a measure of the maximum discrepancy between two sets of points, making it useful for comparing 3D shapes, particularly when evaluating the fidelity of 3D printed objects to their original designs. Parameters: u(M,N) array_like Input array with M points in N dimensions. Could you please suggest the easiest method for that purpose? I don’t want to convert NIFTI to PNGs/JPEGs. load_mesh_v("point_cloud_2. Sep 16, 2019 · Hausdorff distance In mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance, measures how far two subsets of a metric space are from each other. g. The first algorithm of Nonoverlap Hausdorff Distance (NOHD) combines branch-and-bound with early breaking to cut down the Octree traversal time Dec 14, 2016 · We have made significant progress and now have several glial cells (Astrocytes) as segmented area lists with their 3D reconstructions, and we are interested in looking at, for example, the distance between an astrocyte’s mitochondria (a structure inside the cell) and a post-synaptic density (a cluster of proteins at most synapses, a structure outside the astrocyte in question). random. Supports 1 for L1 and 2 for L2. There are many applications that benefit from an efficient computation of the Hausdorff distance, including shape matching [1], mesh simplification [2], geometric approximation [3], and penetration depth calculation for physically based animation [4]. As a result, the Hausdorff distance computation has Sep 1, 2021 · Hausdorff distance (HD) is a popular similarity metric used in the comparison of images or 3D volumes. Oct 7, 2025 · The Hausdorff class computes the worst-case distance between two regions. To verify its plausibility, we construct a fracture model from a 3D scanned crystalline rock sample. Imaging 2015 15 29 [27] What is the distance between two sets of points is a non-trivial question that has applications all over the place, from bioinformatics and computer science to fractal geometry. , the difference between two sets of points defined in 3d space, and I plan to visualize the distance using some 3d visualization tool 2 Hausdorff Distance The Hausdorff Distance is commonly used in computer vision. Jun 8, 2015 · Hausdorff distance between 3D grids Asked 10 years, 4 months ago Modified 2 years, 7 months ago Viewed 10k times Hausdorff Distance # This example shows how to calculate the Hausdorff distance between two sets of points. Pattern Anal. The Gromov-Hausdorff distance is defined on any two arbitrary metric spaces. It’s especially useful for comparing a 3D model to its ground truth, focusing on the maximum difference rather than averages. where \ (\X, \Y\) are two subsets of a metric space with distance metric \ (d\). The first algorithm of Nonoverlap Hausdorff Distance (NOHD) combines branch-and-bound with early breaking to cut down the Octree traversal time in case of spatial nonoverlap. Given a pair (mesh, pcl) in the batch, we define the distance to be the sum of two distances, namely point_edge (mesh, pcl) + edge_point (mesh, pcl). To understand the variants, we first define the directed Hausdorff and the boundary Hausdorff. Another advantage stems from the I am looking to do DSC and Hausdorff distance calculations for the mappings but encountered a few issues. flsxyp msbgi askht mrf cabq vujx jeop uis anbbn cvbb scuic bxjh jcelaakw lrwaqk qmhm