Articles with "point sets" as a keyword



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Trapezoids and Deltoids in Wide Planar Point Sets

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Published in 2019 at "Graphs and Combinatorics"

DOI: 10.1007/s00373-019-02009-2

Abstract: We call a set of n points in the Euclidean plane “wide” if at most $$\sqrt{n}$$n of its points are collinear. We show that in such sets, the maximum possible number of trapezoids is $$\;\Omega… read more here.

Keywords: wide planar; deltoids wide; planar point; trapezoids deltoids ... See more keywords
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Robust Non-rigid Registration Based on Affine ICP Algorithm and Part-Based Method

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Published in 2017 at "Neural Processing Letters"

DOI: 10.1007/s11063-017-9760-x

Abstract: The classical affine iterative closest point (ICP) algorithm is fast and accurate for affine registration between two point sets, but it is easy to fall into a local minimum. As an extension of the classical… read more here.

Keywords: icp algorithm; point; registration; rigid registration ... See more keywords
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New projection methods for equilibrium problems over fixed point sets

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Published in 2021 at "Optimization Letters"

DOI: 10.1007/s11590-020-01625-9

Abstract: In this paper, we introduce some new approximation projection algorithms for solving monotone equilibrium problems over the intersection of fixed point sets of demicontractive mappings. By combining subgradient projection methods and hybrid steepest descent methods,… read more here.

Keywords: projection methods; projection; equilibrium problems; point sets ... See more keywords
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Point sets with nontrivial automorphism group

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Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2019.1640243

Abstract: Abstract Let be the field of complex numbers and n and k natural numbers satisfying and Let be the subset of nth symmetric product of with itself consisting of n-point sets in general position and… read more here.

Keywords: sets nontrivial; point; point sets; automorphism group ... See more keywords
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Unsupervised 3D Link Segmentation of Articulated Objects With a Mixture of Coherent Point Drift

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Published in 2022 at "IEEE Robotics and Automation Letters"

DOI: 10.1109/lra.2022.3180444

Abstract: In this letter, we address the 3D link segmentation problem of articulated objects using multiple point sets with different configurations. We are motivated by the fact that a point set of an object can be… read more here.

Keywords: different configurations; segmentation; link segmentation; point sets ... See more keywords
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Joint Rigid Registration of Multiple Generalized Point Sets With Hybrid Mixture Models

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Published in 2020 at "IEEE Transactions on Automation Science and Engineering"

DOI: 10.1109/tase.2019.2906391

Abstract: Aligning different views or representations of anatomy is an essential task in both medical imaging computing (MIC) and computer-assisted interventions’ (CAIs’) communities. Motivated by simultaneously registering multiple point sets (PSs) and further improving the algorithm’s… read more here.

Keywords: point sets; hybrid mixture; registration; algorithm ... See more keywords
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Joint Rigid Registration of Multiple Generalized Point Sets With Anisotropic Positional Uncertainties in Image-Guided Surgery

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Published in 2022 at "IEEE Transactions on Automation Science and Engineering"

DOI: 10.1109/tase.2021.3127172

Abstract: In medical image analysis (MIA) and computer-assisted surgery (CAS), aligning two multiple point sets (PSs) together is an essential but also a challenging problem. For example, rigidly aligning multiple point sets into one common coordinate… read more here.

Keywords: problem; registration; generalized point; point sets ... See more keywords
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An Automatic Registration Approach to Laser Point Sets Based on Multidiscriminant Parameter Extraction

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Published in 2020 at "IEEE Transactions on Instrumentation and Measurement"

DOI: 10.1109/tim.2020.3003360

Abstract: The iterative closest point (ICP) algorithm is one of the most widely used methods for point sets’ registration. However, ICP is very sensitive to the selection of initial points and is easy to fall into… read more here.

Keywords: point sets; registration; feature; approach ... See more keywords
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Fuzzy Cluster-Based Group-Wise Point Set Registration With Quality Assessment

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Published in 2022 at "IEEE Transactions on Image Processing"

DOI: 10.1109/tip.2022.3231132

Abstract: This article studies group-wise point set registration and makes the following contributions: “FuzzyGReg”, which is a new fuzzy cluster-based method to register multiple point sets jointly, and “FuzzyQA”, which is the associated quality assessment to… read more here.

Keywords: group wise; quality; registration; point sets ... See more keywords
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Visualizing the Stability of 2D Point Sets from Dimensionality Reduction Techniques

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Published in 2020 at "Computer Graphics Forum"

DOI: 10.1111/cgf.13806

Abstract: We use k‐order Voronoi diagrams to assess the stability of k‐neighbourhoods in ensembles of 2D point sets, and apply it to analyse the robustness of a dimensionality reduction technique to variations in its input configurations.… read more here.

Keywords: stability; point; dimensionality reduction; order voronoi ... See more keywords