Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Application of Manifold Learning in Global Shape Descriptors   With the rapid expansion of applied 3D computational vision, shape
descriptors have become increasingly important for a wide variety of
applications and objects from molecules to planets. Appropriate shape
descriptors are critical for accurate (and efficient) shape retrieval and 3D
model classification. Several spectral-based shape descriptors have been
introduced by solving various physical equations over a 3D surface model. In
this paper, for the first time, we incorporate a specific group of techniques
in statistics and machine learning, known as manifold learning, to develop a
global shape descriptor in the computer graphics domain. The proposed
descriptor utilizes the Laplacian Eigenmap technique in which the Laplacian
eigenvalue problem is discretized using an exponential weighting scheme. As a
result, our descriptor eliminates the limitations tied to the existing spectral
descriptors, namely dependency on triangular mesh representation and high
intra-class quality of 3D models. We also present a straightforward
normalization method to obtain a scale-invariant descriptor. The extensive
experiments performed in this study show that the present contribution provides
a highly discriminative and robust shape descriptor under the presence of a
high level of noise, random scale variations, and low sampling rate, in
addition to the known isometric-invariance property of the Laplace-Beltrami
operator. The proposed method significantly outperforms state-of-the-art
algorithms on several non-rigid shape retrieval benchmarks.

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The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph