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Hierarchical mesh segmentation based on fitting primitives
TLDR
A hierarchical face clustering algorithm for triangle meshes based on fitting primitives belonging to an arbitrary set that generates a binary tree of clusters, each of which is fitted by one of the primitives employed. Expand
Mesh Segmentation - A Comparative Study
TLDR
A comparative study of some of the latest algorithms and results in mesh segmentation, along several axes, sheds some light on the vital properties of the methods and on the challenges that future algorithms should face. Expand
Discrete Laplace-Beltrami operators for shape analysis and segmentation
TLDR
This paper first analyzes different discretizations of the Laplace-Beltrami operator (geometric Laplacians, linear and cubic FEM operators) in terms of the correctness of their eigenfunctions with respect to the continuous case, and presents the family of segmentations induced by the nodal sets of the eigen Functions, discussing its meaningfulness for shape understanding. Expand
What’s in an image?
TLDR
A number of different ways to measure the goodness of a view are described, and how to optimize these measures by reducing the size of the search space is shown. Expand
Reeb graphs for shape analysis and applications
TLDR
An overview of the mathematical properties of Reeb graphs is provided and its history in the Computer Graphics context is reconstructed, with an eye towards directions of future research. Expand
Modeling undertain data with fuzzy B-splines
TLDR
The fuzzy modeling of large collections of noisy data described in this paper achieves a very high degree of compression with a relatively low computational complexity both for maintenance and interrogation of the model itself. Expand
Plumber: a method for a multi-scale decomposition of 3D shapes into tubular primitives and bodies
TLDR
The Plumber algorithm segments a surface into connected components that are either body parts or elongated features, that is, handle-like and protrusion-like features, together with their concave counterparts, i.e. narrow tunnels and wells. Expand
Geometry and context for semantic correspondences and functionality recognition in man-made 3D shapes
TLDR
It is shown that the performance of the proposed context-aware similarity measure in finding part-wise correspondences outperforms geometry-only-based techniques and that contextual analysis is effective in dealing with shapes exhibiting large geometric and topological variations. Expand
Sub-part correspondence by structural descriptors of 3D shapes
TLDR
This paper describes a method for partial shape-matching able to recognize similar sub-parts of objects represented as 3D polygonal meshes that can effectively support the re-use of CAD models. Expand
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