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Skeletal Representations and Applications
[article]
2014
arXiv
pre-print
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I will discuss, in two dimensions, how symmetry can be used to reduce the dimensionality of the data (from a 2D solid to a 1D curve), and how this relates to the classical definition of skeletons by Medial ...
I will also present several algorithms for their computation and a variety of scenarios where skeletons are employed, with a special focus on geometry processing and shape analysis. ...
The Maxwell set interpretation of the medial axis addressed in Definition 2.3 provides us with what we need to formulate the medial axis computation as a Voronoi diagram problem. ...
arXiv:1301.6809v2
fatcat:7rajrbs6mzgx5d7lncla7r25tu
Curve-Skeleton Properties, Applications, and Algorithms
2007
IEEE Transactions on Visualization and Computer Graphics
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We also give a taxonomy of methods and analyze the advantages and drawbacks of each class of algorithms. ...
There are many algorithms in the literature describing extraction methodologies for different applications; however, it is unclear how general and robust they are. ...
We would like to thank Dr. Raman Balasubramanian and Xiaosong Yuan for their initial help. We would also like to thank the reviewers for their useful comments and suggestions. ...
doi:10.1109/tvcg.2007.1002
pmid:17356219
fatcat:5fjr5p4jofcwplq2fksu5nb5z4
Musculoskeletal MRI segmentation using multi-resolution simplex meshes with medial representations
2010
Medical Image Analysis
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We extend the current framework by introducing a multi-resolution approach and a reversible medial representation, in order to reduce the complexity of geometric and non-penetration constraints computation ...
Such discrete models have already proven to be efficient and versatile for medical image segmentation. ...
Acknowledgments This work is supported by CO-ME (Computer Aided and Image Guided Medical Interventions) project funded by Swiss National Research Foundation. We would like to thank Dr. ...
doi:10.1016/j.media.2010.01.006
pmid:20303319
fatcat:tw7pidvtvzc6tbidcmotwxmgwe
An automatic coarse and fine surface mesh generation scheme based on medial axis transform: Part II implementation
1992
Engineering with Computers
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This meshing scheme is based on the medial axis transform (MAT) [2] to interrogate shape and to subdivide it into topologically simple subdomains. ...
The algorithm can be effectively used to create coarse discretization and fine triangular surface meshes. ...
Sherbrooke contributed to the computer implementation. ...
doi:10.1007/bf01194321
fatcat:bgkwojkjjvhuvjfaz7zwir2mfu
Medial packing and elastic asymmetry stabilize the double-gyroid in block copolymers
[article]
2021
arXiv
pre-print
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Additionally, we find a previously unrecognized non-monotonic dependence of DG stability on the elastic asymmetry, the comparative entropic stiffness of matrix-forming to tubular-network forming blocks ...
As such, the particular medial-based approach deployed here is readily generalizable to study packing frustration far beyond the case of DG morphologies in neat BCP assemblies. ...
ACKNOWLEDGMENTS The authors are grateful to E. ...
arXiv:2112.06977v1
fatcat:3wfuhejw5bafllv2bsku7sxl5a
Skeleton extraction by mesh contraction
2008
ACM SIGGRAPH 2008 papers on - SIGGRAPH '08
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Left to right are the original mesh and the results of the contraction after 1, 2 and 3 iterations. Faces with zero area are drawn in red. ...
Abstract Extraction of curve-skeletons is a fundamental problem with many applications in computer graphics and visualization. ...
Acknowledgements We would like to thank the anonymous reviewers for their valuable comments, Yu-Shuen Wang for giving a talk at HKUST that inspired this work, Youyi Zheng for his help in implementing the ...
doi:10.1145/1399504.1360643
fatcat:kkg2277qyvgivbzl3mr37aqkm4
Skeleton extraction by mesh contraction
2008
ACM Transactions on Graphics
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Left to right are the original mesh and the results of the contraction after 1, 2 and 3 iterations. Faces with zero area are drawn in red. ...
Abstract Extraction of curve-skeletons is a fundamental problem with many applications in computer graphics and visualization. ...
Acknowledgements We would like to thank the anonymous reviewers for their valuable comments, Yu-Shuen Wang for giving a talk at HKUST that inspired this work, Youyi Zheng for his help in implementing the ...
doi:10.1145/1360612.1360643
fatcat:eywszfarojhkvlb5pe6zji7k7m
Realtime Informed Path Sampling for Motion Planning Search
[chapter]
2016
Springer Tracts in Advanced Robotics
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We present CALM, the combined adaptive locality model, along with an algorithm to bias path sampling based on the model's predictions. ...
We demonstrate an alternative approach to path sampling that closes the loop on the expensive collision-testing process. ...
Wilmarth et al. (1999) sampled on the Voronoi diagram by first sampling uniformly in the space-including within obstacles-then projecting points onto the Voronoi diagram (also called the medial axis). ...
doi:10.1007/978-3-319-29363-9_23
fatcat:6wsdaeft7jhirhisdctvcsgb4e
-smooth branching surface construction from cross sections
2007
Computer-Aided Design
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The solution of the "one-to-many" branching problem, where one contour on the i-plane is to be connected to M contours on the (i + 1)plane, is based on combining skinning with trimming and hole filling ...
The "many-to-many" problem is handled by combining the "one-to-many" methodology with a zone-separation technique, that achieves splitting the "many-to-many" problem into two "one-to-many" problems. ...
In fact, the Voronoi region V k of S k fully contains S k in its interior, and, moreover, V k is star-shaped with respect to the medial axis of S k (see [26] for more details). ...
doi:10.1016/j.cad.2007.05.004
fatcat:evz2uuzg2rd7rbst5umph4aj7y
Geometric Modeling Based on Polygonal Meshesv
[article]
2000
Eurographics State of the Art Reports
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of a given 3D-model to the current application or to the available hardware resources; advanced mesh optimization techniques that are based on the numerical simulation of physical material (e.g. membranes ...
While traditional computer aided design (CAD) is mainly based on piecewise polynomial surface representations, the recent advances in the efficient handling of polygonal meshes have made available a set ...
(p, S) ≤ r • dist(p, ME(F)) The medial axis of F is the closure of all points having more than one closest point on F and can be thought of as the continuous extension of the Voronoi diagram 30 . ...
doi:10.2312/egt.20001033
fatcat:ys2bwbqzzbg2zm4jb45d2cbvfi
Feature Preserving Mesh Generation from 3D Point Clouds
2010
Computer graphics forum (Print)
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Using a feature detection process based on the covariance matrices of Voronoi cells, we first extract from the point cloud a set of sharp features. ...
We demonstrate the effectiveness of our method on a variety of models including laser scanned datasets ranging from indoor to outdoor scenes. ...
data-sets. ...
doi:10.1111/j.1467-8659.2010.01771.x
fatcat:55ozdjutobbntcc6mqbnbbqcga
Process planning for robotic wire and arc additive manufacturing
2015
2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA)
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Over the past half century, a significant amount of work has been done to develop the capability to produce I take this opportunity to express my sincere appreciation to my principal supervisor Dr. ...
The excellent research atmosphere that provided in our group was very helpful for the successful completion of this work. Many thanks to Prof. Weihua Li, and A/Prof. ...
Srinivasan et al. [107] extends Lee's algorithm to computing a generalized Voronoi diagram for polygons with holes. ...
doi:10.1109/iciea.2015.7334441
fatcat:xdisv2wkxfdzdijqltmuoc3bn4
Piecewise affine registration of biological images for volume reconstruction
2006
Medical Image Analysis
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We investigate the behavior of our approach on several batches of histological data and discuss its sensitivity to parameters and noise. ...
Given a pair of input images, we first compute a dense similarity field between them with a block matching algorithm. ...
Imaging and Bioengineering (EB001561) and by a Human Brain Project The authors would like to thank J. ...
doi:10.1016/j.media.2005.03.008
pmid:15963755
fatcat:qwss2qjzifasnaegdk3gycgece
Hex-Mesh Generation and Processing: a Survey
[article]
2022
arXiv
pre-print
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The required background, pertaining to geometrical as well as combinatorial aspects, is introduced along the way. ...
We cover the whole spectrum of alternative approaches to mesh generation, as well as post processing algorithms for connectivity editing and mesh optimization. ...
Lévy and Liu [2010] generalized Centroidal Voronoi Tessellation [Faber and Gunzburger 1999] for hex-dominant meshing, introducing Lp-Centroidal Voronoi Tessellation. ...
arXiv:2202.12670v1
fatcat:ze2zfkgxhrgjnp2jm77wvgwvim
Describing shapes by geometrical-topological properties of real functions
2008
ACM Computing Surveys
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In this sense, Morse theory allows one to construct a general framework for shape characterization, parametrized with respect to the mapping function used, and possibly the space associated with the shape ...
The approaches surveyed will be discussed in detail, with respect to theory, computation and application. Several properties of the shape descriptors will be analyzed and compared. ...
ACKNOWLEDGMENT The authors would like to thank Prof. Massimo Ferri and the Vision Mathematics Group at the University of Bologna, Italy, for fruitful discussions on the survey topics. ...
doi:10.1145/1391729.1391731
fatcat:yg6k2lwerfd63nuhhxxypcnzju
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