Niklas Peinecke

TL;DR: This paper introduces a method to extract 'Shape-DNA', a numerical fingerprint or signature, of any 2d or 3d manifold by taking the eigenvalues (i.e. the spectrum) of its Laplace-Beltrami operator and succeeds in computing eigen values for smoothly bounded objects without discretization errors caused by approximation of the boundary.

TL;DR: This paper introduces a method to extract fingerprints of any surface or solid object by taking the eigenvalues of its respective Laplace-Beltrami operator, which is possible to support copyright protection, database retrieval and quality assessment of digital data representing surfaces and solids.

TL;DR: The Laplace-Beltrami spectrum is proposed to be used as a global shape descriptor for medical shape analysis, allowing for shape comparisons using minimal shape preprocessing: no registration, mapping, or remeshing is necessary.

TL;DR: A novel method to automatically obtain unique but easily computable fingerprints from an image based on a reinterpretation of an image as a Riemannian manifold, which allows better results in comparing the resulting spectra and deeper insights in the problems arising.

TL;DR: This work describes an approach for simulating Lidar sensors based on using modern computer graphics hardware making heavy use of recent technologies like vertex and fragment shaders, and presents a vertex shader solution written in GLSL, the OpenGL shading language.