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Showing 1 to 16 of 16 for “"Hausdorff distance"”.
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Approximating rotation algebras and inclusions of C*-algebras
… of rotation algebras in the quantum Gromov–Hausdorff distance. We introduce the completely bounded quantum Gromov–Hausdorff distance and show that for even dimensions, the higher dimensional rotation algebras can be approximated by matrix algebras in this sense. Finally, we show that for …
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Approximating polygonal objects with deformable smooth surfaces
… We guarantee that they arehomeomorphic and their Hausdorff distance is at most \epsilon>0.This construction makes it possible for fully automatic, smoothand robust deformation between two polygonal objects withdifferent topologies. En route to our results, we also give anapproximation of a …
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Development of a statistical shape and appearance model of the skull from a South African population
… The generality of the model in terms of the Hausdorff distance between a new shape generated by the SSM and instances of the SSM had a steady state value of 1.48mm. The specificity of the model (in terms of Hausdorff distance) had a steady state value of 2.04mm. The SAM development pipeline …
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Road sign recognition
… even when the image is noisy. An effective color distance measurement is developed to work with the segmentation. We then designed a hierarchical feature representation scheme, which organizes model features in a tree structure. The tree nodes are components that form the basic parts of a model, …
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Algorithms for Analyzing Spatio-Temporal Data
… comparing real-valued functions, by computing a distance function between their merge trees (a small-sized descriptor that succinctly captures the sublevel sets of a function). Merge trees are robust to noise in the data, and can be used effectively as proxies for the data sets themselves in some …
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Model-based identification of Oriental documents
… an Oriental document. which is done by using the Hausdorff distance, a similarity measure defined between two sets of points. One of the point sets represents a model of some Oriental character to look for, and the other represents each character in the document image to be identified. Since …
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Essays in financial econometrics
… particular standard set estimation methods with Hausdorff distance give very large confidence regions which are not very meaningful for testing purposes. On the other hand confidence regions based on LR-type statistic and wald type statistic provide much tighter confidence bounds. The methodology …
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A knowledge based manufacturing advisor for CAD
… The first evaluation technique uses the Hausdorff distance to measure the similarity of the mid-surface model to the CAD solid model that was used to generate it, and the second uses a face mapping technique to evaluate the completeness of the feature recognition results. A demonstrator …
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Exploratory Study of Fuzzy Clustering and Set-Distance Based Validation Indexes
… cluster validation is examined and new set distance based cluster validation indexes(CVI) are proposed which are the ratio of separation between clusters to compactness within acluster. To this end, a new measure of compactness, compactness of a fuzzy partition is presentedand fuzzy …
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3D Reconstruction of Tubular Structures Using MRI Projection Images
… meshes with the multislice-rendered meshes. Hausdorff distance and Point Cloud Comparison methods were used to evaluate the reconstruction error. The average error was less than 1 pixel for the triplanar projection images, and it was less than 2 pixels for the oblique orientation projection …
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Renal Cryoablation: Investigation of Periprocedural Visualization to ols and Treatment Response Quantification
… of perfusion loss in renal parenchyma and distance within iceball was quantified and iteratively fit to a logit curve. Using the parameters from the logit fit, the margin for 95% perfusion loss likelihood was found to be 4.28 mm within the iceball. The observed margin corresponds well with …
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Towards a Polyalgorithm for Land Use and Land Cover Change Detection
… and speedup results. For a given pixel, Hausdorff distance is used to compare the distance between the change times (breakpoints) obtained from two different algorithms. Timesync validation data, a dataset that is based on human interpretation of Landsat time series in concert with …
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Three-Dimensional Body Volume Measurement From Two-Dimensional Images: Towards A Smartphone Application
… tested for accuracy using the surface-tosurface distance per vertex, modified Hausdorff distance, and assessment of the measurements. Tests were performed using data from the same dataset used to build the model and generalised data from a different dataset. In all test cases, the best performing …
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Evaluation of an End-to-End Radiotherapy Treatment Planning Pipeline for Prostate Cancer
… Dice-Similarity-Coefficient (DSC) and 95% Hausdorff Distance (HD95) to proposed models in literature and clinically usable contours with no more than minor edits upon physician review.</p> <p>The second objective was the automation of Volumetric Modulated Arc Therapy (VMAT) planning for a …
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Geometric Multimedia Time Series
… point clouds, which is related to the Gromov-Hausdorff distance.</p><p>Overall, we show a proof-of-concept and promise of the nascent field of geometric signal processing, which is worthy of further study in applications of music structure, multimodal data analysis, and video analysis.</p>