Morphing Of Triangular Meshes In Shape Space,
2010
NRC Institute for Information Technology
Morphing Of Triangular Meshes In Shape Space, Stefanie Wuhrer, Prosenjit Bose, Chang Shu, Joseph O'Rourke, Alan Brunton
Computer Science: Faculty Publications
We present a novel approach to morph between two isometric poses of the same non-rigid object given as triangular meshes. We model the morphs as linear interpolations in a suitable shape space S. For triangulated 3D polygons, we prove that interpolating linearly in this shape space corresponds to the most isometric morph in R3 . We then extend this shape space to arbitrary triangulations in 3D using a heuristic approach and show the practical use of the approach using experiments. Furthermore, we discuss a modified shape space that is useful for isometric skeleton morphing. All of the newly presented …
Derived Categories And The Analytic Approach To General Reciprocity Laws. Part Iii,
2010
Loyola Marymount University
Derived Categories And The Analytic Approach To General Reciprocity Laws. Part Iii, Michael Berg
Mathematics, Statistics and Data Science Faculty Works
Building on the scaffolding constructed in the first two articles in this series, we now proceed to the geometric phase of our sheaf (-complex) theoretic quasidualization of Kubota's formalism for n-Hilbert reciprocity. Employing recent work by Bridgeland on stability conditions, we extend our yoga of t-structures situated above diagrams of specifically designed derived categories to arrangements of metric spaces or complex manifolds. This prepares the way for proving n-Hilbert reciprocity by means of singularity analysis.
Algorithms For Upper Bounds Of Low Dimensional Group Homology,
2010
University of Kentucky
Algorithms For Upper Bounds Of Low Dimensional Group Homology, Joshua D. Roberts
University of Kentucky Doctoral Dissertations
A motivational problem for group homology is a conjecture of Quillen that states, as reformulated by Anton, that the second homology of the general linear group over R = Z[1/p; ζp], for p an odd prime, is isomorphic to the second homology of the group of units of R, where the homology calculations are over the field of order p. By considering the group extension spectral sequence applied to the short exact sequence 1 → SL2 → GL2 → GL1 → 1 we show that the calculation of the homology …
