Computer graphics (2nd ed. in C): principles and practice
Computer graphics (2nd ed. in C): principles and practice
Fast parallel similarity search in multimedia databases
SIGMOD '97 Proceedings of the 1997 ACM SIGMOD international conference on Management of data
Multidimensional access methods
ACM Computing Surveys (CSUR)
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Indexing image databases using wavelet and discrete Fourier transform
Proceedings of the 2001 ACM symposium on Applied computing
Principles of Digital Image Synthesis
Principles of Digital Image Synthesis
Modal Matching for Correspondence and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1
Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1
The X-tree: An Index Structure for High-Dimensional Data
VLDB '96 Proceedings of the 22th International Conference on Very Large Data Bases
Shape intrinsic fingerprints for free-form object matching
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
CGI '00 Proceedings of the International Conference on Computer Graphics
SMI '04 Proceedings of the Shape Modeling International 2004
Spherical Diffusion for 3D Surface Smoothing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Laplace-spectra as fingerprints for shape matching
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Generation of isospectral graphs
Journal of Graph Theory
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Expression-invariant 3D face recognition
AVBPA'03 Proceedings of the 4th international conference on Audio- and video-based biometric person authentication
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation
Computers and Graphics
International Journal of Computer Vision
Wave interference for pattern description
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part II
SMI 2012: Full Spectral computations on nontrivial line bundles
Computers and Graphics
SMI 2013: Laplacians on flat line bundles over 3-manifolds
Computers and Graphics
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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 images. These fingerprints can be used to quickly identify every image within a larger set of possibly similar images. This paper introduces a novel method to automatically obtain such fingerprints from an image. It is based on a reinterpretation of an image as a Riemannian manifold. This representation is feasible for gray value images and color images. We discuss the use of the spectrum of eigenvalues of different variants of the Laplace operator as a fingerprint and show the usability of this approach in several use cases. Contrary to existing works in this area we do not only use the discrete Laplacian, but also with a particular emphasis the underlying continuous operator. This allows better results in comparing the resulting spectra and deeper insights in the problems arising. We show how the well known discrete Laplacian is related to the continuous Laplace-Beltrami operator. Furthermore, we introduce the new concept of solid height functions to overcome some potential limitations of the method.