Results 1 to 10 of about 266 (143)
An Efficient Data Retrieval Parallel Reeb Graph Algorithm
Algorithms, 2020 The Reeb graph of a scalar function that is defined on a domain gives a topologically meaningful summary of that domain. Reeb graphs have been shown in the past decade to be of great importance in geometric processing, image processing, computer graphics,
Mustafa Hajij, Paul Rosen
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Extraction, Segmentation, and 3D Reconstruction of Wire Harnesses from Point Clouds for Robot Motion Planning [PDF]
SensorsAccurate collision detection in off-line robot simulation is essential for ensuring safety in modern manufacturing. However, current simulation environments often neglect flexible components such as wire harnesses, which are attached to articulated ...
Saki Komoriya, Hiroshi Masuda
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A distribution-guided Mapper algorithm [PDF]
BMC BioinformaticsBackground The Mapper algorithm is an essential tool for exploring the data shape in topological data analysis. With a dataset as an input, the Mapper algorithm outputs a graph representing the topological features of the whole dataset.
Yuyang Tao, Shufei Ge
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A Practical Introduction to Skeletons for the Plant Sciences [PDF]
Applications in Plant Sciences, 2014 Before the availability of digital photography resulting from the invention of charged couple devices in 1969, the measurement of plant architecture was a manual process either on the plant itself or on traditional photographs.
Alexander Bucksch
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Multi-Robot Coverage with Reeb Graph Clustering and Optimized Sweeping Patterns
Computer Assisted Methods in Engineering and Science, 2022 In order to perform mapping, inspecting, searching, painting, cleaning, and other similar tasks, mobile robots have to act according to a coverage plan. Finding a trajectory that a robot should follow requires an appropriate coverage path planning (CPP)
Jacek Tomasz Szklarski
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Finding Kinematic Structure in Time Series Volume Data
ELCVIA Electronic Letters on Computer Vision and Image Analysis, 2009 This paper presents a new scheme for acquiring 3D kinematic structure and motion from time series volume data. Our basic strategy is to first represent the shape structure of the target in each frame by Reeb graph which we compute by using geodesic ...
Tomoyuki Mukasa +3 more
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Global three‐dimensional‐mesh indexing based on structural analysis and geometrical signatures
IET Computer Vision, 2015 This study presents a new local feature matching approach that relies upon Reeb graph (RG)‐based representation as well as a simple and accurate similarity estimation.
Meha Hachani +2 more
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Deformations of smooth functions on 2-torus
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Let $f$ be a Morse function on a smooth compact surface $M$ and $\mathcal{S}'(f)$ be the group of $f$-preserving diffeomorphisms of $M$ which are isotopic to the identity map.
Bohdan Feshchenko
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Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 Let $M$ be a compact two-dimensional manifold and, $f \in C^{\infty}(M, R)$ be a Morse function, and $\Gamma$ be its Kronrod-Reeb graph. Denote by $O(f)={f o h | h \in D(M)}$ the orbit of $f$ with respect to the natural right action of the group of ...
Anna Kravchenko, Sergiy Maksymenko
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Journal of Computational Geometry, 2015 The collective motion of a set of moving entities like people, birds, or other animals, is characterized by groups arising, merging, splitting, and ending.
Maike Buchin +3 more
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