Laplace–Beltrami spectra as 'Shape-DNA'of surfaces and solids

M Reuter, FE Wolter, N Peinecke - Computer-Aided Design, 2006 - Elsevier
This paper introduces a method to extract 'Shape-DNA', a numerical fingerprint or signature,
of any 2d or 3d manifold (surface or solid) by taking the eigenvalues (ie the spectrum) of its …

Laplace spectra as fingerprints for image recognition

N Peinecke, FE Wolter, M Reuter - Computer-Aided Design, 2007 - Elsevier
In the area of image retrieval from data bases and for copyright protection of large image
collections there is a growing demand for unique but easily computable fingerprints for …

Data hiding in curves with application to fingerprinting maps

H Gou, M Wu - IEEE Transactions on Signal Processing, 2005 - ieeexplore.ieee.org
This paper presents a new data hiding method for curves. The proposed algorithm
parameterizes a curve using the B-spline model and adds a spread spectrum sequence to …

Intellectual property protection in collaborative design through lean information modeling and sharing

Y Wang, PN Ajoku, JC Brustoloni, BO Nnaji - 2006 - asmedigitalcollection.asme.org
Establishing efficient, effective, and trustworthy engineering collaboration while protecting
intellectual property is vital to maintain organizational competence in today's global …

Shape interrogation

S Hahmann, A Belyaev, L Busé, G Elber… - Shape analysis and …, 2008 - Springer
Shape interrogation methods are of increasing interest in geometric modeling as well as in
computer graphics. Originating 20 years ago from CAD/CAM applications where “class A” …

[PDF][PDF] Shape intrinsic properties for free-form object matching

KH Ko, T Maekawa, NM Patrikalakis, H Masuda… - J. Comput. Inf. Sci …, 2003 - Citeseer
Despite extensive research and rapid increase of computing power, free-form object
matching still remains a challenging problem in CAD/CAM areas. In this paper, various …

Linear interpolation of shape operators for umbilical points through local parametrization

WJ Che - Computer Aided Geometric Design, 2023 - Elsevier
Curvature analysis is frequently employed in shape interrogation. Umbilical points are of
particular interest in curvature analysis because of their identical normal curvatures in all …

Algorithms for three-dimensional free-form object matching

KH Ko - 2003 - dspace.mit.edu
This thesis addresses problems of free-form object matching for the point vs. NURBS surface
and the NURBS surface vs. NURBS surface cases, and its application to copyright …

Surface fitting with cyclide splines

P Bo, Y Liu, C Tu, C Zhang, W Wang - Computer Aided Geometric Design, 2016 - Elsevier
The cyclide spline surface is a G 1 smooth piecewise surface composed of Dupin cyclide
patches, thus inheriting several favorable geometric properties of the Dupin cyclide, such as …

Principal curvature ridges and geometrically salient regions of parametric B-spline surfaces

S Musuvathy, E Cohen, J Damon, JK Seong - Computer-Aided Design, 2011 - Elsevier
Ridges are characteristic curves of a surface that mark salient intrinsic features of its shape
and are therefore valuable for shape matching, surface quality control, visualization and …