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Discrete Differential Geometry
Thursday, 11 August 2:00 pm - 3:30 pm | East Building, Exhibit Hall A
Session Chair: Yaron Lipman, Princeton University
Circular Arc S***ctures
As a means of rationalization of freeform architectural designs, "circular arc s***ctures" combine faithful consistency with the design intent and simple edge elements and con***ent nodes. This paper summarizes the method's easily manufactured support elements, repetition, the first global approximation method for principal patches, and volumetric designs.
Pengbo Bo
University of Hong Kong and Technische Universität Wien
Helmut Pottmann
King Abdullah University of Science and Technology and Technische Universität Wien
Martin Kilian
Evolute and Technische Universität Wien
Wenping Wang
University of Hong Kong
Johannes Wallner
Technische Universität Graz and Technische Universität Wien
Discrete Laplacians on General Polygonal Meshes
A principled approach for cons***cting geometric discrete Laplacians on surfaces with arbitrary polygonal faces, encompassing non-planar and non-convex polygons.
Marc Alexa
Technische Universität Berlin
Max Wardetzky
Universität Göttingen
HOT: Hodge-Optimized Triangulations
Introducing Hodge-optimized triangulations (HOT), a family of well-shaped primal-dual pairs of comp***s designed for fast and accurate computations in computer graphics.
Patrick Mullen
California Institute of Technology
Pooran Memari
California Institute of Technology
Fernando De Goes
California Institute of Technology
Mathieu Des***n
California Institute of Technology
Spin Transformations of Discrete Surfaces
This paper introduces a new method for computing conformal maps directly between triangle meshes in R^3. Conformal maps are desirable because they preserve texture fidelity and the quality of the mesh itself. The method is simple and can be used to efficiently edit surfaces by manipulating curvature and boundary data.
Keenan Crane
California Institute of Technology
Ulrich Pinkall
Technische Universität Berlin
Peter Schröder
California Institute of Technology
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