ShapeDNA-tria is a package to compute accurate eigenvalues and eigenfunctions of the Laplace Beltrami operator using higher order FEM (with Dirichlet or Neumann boundary condition). You can try out two shape retrieval database examples here: Research:ShapeAnalysis.

• Computes eigenvalues and eigenfunctions
• Up to cubic FEM for highly accurate approximation
• Dirichlet or Neumann boundary condition
• Input: PLY, SMF,OBJ,OFF, VTK,ASC3d,STL,..
• Global mesh refinement for coarse meshes
• Tangential smoothing for low quality meshes
• Converter: Input/Output in different file formats

• First publication: Laplace-Spectra as Fingerprints for Shape Matching (SPM 2005)
• Journal: Laplace-Beltrami spectra as "Shape-DNA" of surfaces and solids (JCAD 2006 - most cited paper award)
• Book: Laplace Spectra for Shape Recognition (2006)
• Description of cubic FEM for Triangles: Hierarchical Shape Segmentation and Registration via Topological Features of Laplace-Beltrami Eigenfunctions (IJCV 2009)
• Comparison of LBO discretizations: Discrete Laplace-Beltrami Operators for Shape Analysis and Segmentation (SMI 2009)
• Application in Neuroimaging: Laplace-Beltrami Eigenvalues and Topological Features of Eigenfunctions for Statistical Shape Analysis (CAD 2009 - invited)

This program is a command line tool! The download package (...tar.gz) is a compressed archive containing a single directory.

Linux: unpack it with: tar xzvf shapeDNA-tria.tar.gz

MAC: probably Safari will already decompress the archive, double click the remaining shapeDNA-tria.tar file and it will extract the folder in Downloads. You can then move it anyplace you like.

Open a terminal, change into that directory and call it like: ./shapeDNA-tria ... (don't forget the './')

• Available to Universities for non-profit research purposes.
• To download: please register with your university email address below to obtain download link.
• If you are interested in update notifications (bug fix, new version), you can specify the box "Update Notifications" (recommended).
• The software is available as a LINUX and MAC OSX binary only. Windows binaries are not planned in the near future.
• At some point I plan to release the source code, but for that I need to go through the code and separate the necessary from the uneccesary parts and library dependencies. Also I need to take a closer look at license issues of libraries not included in this binary, but part of the whole source package which includes much more functionality (NURBS, tetrahedra, pixel and voxel data, Laplace and Poisson equation ...). Please do not expect anything soon.
• You may NOT use this software for commercial purposes.
  Copyright (c) 2009 Martin Reuter. All rights reserved.