An improved spectral analysis method with additional attributes for 3D objects

We present a method to generalize the spectral analysis for the 3D mesh. It can accommodate attributes in addition to the geometry such as curvatures and vertex colors. The proposed method uses Gram–Schmidt orthogonalization to extend the attributes associated with a geometry coordinate when the Lap...

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Bibliographic Details
Published in:International journal of advanced manufacturing technology 2012-03, Vol.59 (5-8), p.761-773
Main Authors: Choi, Han Kyun, Lee, Seung Joo, Park, Min Ki, Lee, Kwan H.
Format: Article
Language:English
Subjects:
CAE) and Design
Computer-Aided Engineering (CAD
Conformal mapping
Eigenvalues
Eigenvectors
Engineering
Finite element method
Industrial and Production Engineering
Mechanical Engineering
Media Management
Original Article
Parameterization
Spectra
Spectrum analysis
Three dimensional models
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Summary:We present a method to generalize the spectral analysis for the 3D mesh. It can accommodate attributes in addition to the geometry such as curvatures and vertex colors. The proposed method uses Gram–Schmidt orthogonalization to extend the attributes associated with a geometry coordinate when the Laplacian matrix is calculated. We calculate geometric features using a feature detection method, and these features are used as attributes after they are transformed to a color space. In addition, we also provide additional attributes by user interaction. The spectral analysis with attributes can improve results in geometric filtering such as smoothing or enhancement. Our experimental results demonstrate that the proposed method can efficiently filter 3D models compared to existing methods. It can also be applied directly to mesh parameterization by considering the eigenvector corresponding to the second smallest eigenvalue as the texture coordinates using the matrix of least square conformal mapping. It also shows better results than the ones by the existing spectral conformal mapping method.
ISSN:0268-3768
1433-3015
DOI:10.1007/s00170-011-3484-2