86,832 research outputs found
Object classification via planar abstraction
International audienceWe present a supervised machine learning approach for classification of objects from sampled point data. The main idea consists in first abstracting the input object into planar parts at several scales, then discriminate between the different classes of objects solely through features derived from these planar shapes. Abstracting into planar shapes provides a means to both reduce the computational complexity and improve robustness to defects inherent to the acquisition process. Measuring statistical properties and relationships between planar shapes offers invariance to scale and orientation. A random forest is then used for solving the multiclass classification problem. We demonstrate the potential of our approach on a set of indoor objects from the Princeton shape benchmark and on objects acquired from indoor scenes and compare the performance of our method with other point-based shape descriptors
Dipoles in thin sheets
A flat elastic sheet may contain pointlike conical singularities that carry a
metrical "charge" of Gaussian curvature. Adding such elementary defects to a
sheet allows one to make many shapes, in a manner broadly analogous to the
familiar multipole construction in electrostatics. However, here the underlying
field theory is non-linear, and superposition of intrinsic defects is
non-trivial as it must respect the immersion of the resulting surface in three
dimensions. We consider a "charge-neutral" dipole composed of two conical
singularities of opposite sign. Unlike the relatively simple electrostatic
case, here there are two distinct stable minima and an infinity of unstable
equilibria. We determine the shapes of the minima and evaluate their energies
in the thin-sheet regime where bending dominates over stretching. Our
predictions are in surprisingly good agreement with experiments on paper
sheets.Comment: 20 pages, 5 figures, 2 table
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