TY - GEN A1 - Sander, Oliver T1 - The PSurface Library N2 - We describe psurface, a C++ library that allows to store and access piecewise linear mappings between simplicial surfaces in $\R^2$ and $\R^3$. These mappings are stored in a graph data structure and can be constructed explicitly, by projection, or by surface simplification. Piecewise linear maps can be used, e.g., to construct boundary approximations for finite element grids, and grid intersections for domain decomposition methods. In computer graphics the mappings allow to build level-of-detail representations as well as texture- and bump maps. We document the data structures and algorithms used and show how \psurface is used in the numerical analysis framework Dune and the visualization software Amira. KW - piecewise linear maps KW - simplicial surfaces KW - parametrizations KW - finite elements KW - domain decomposition KW - morphing Y1 - 2010 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/700 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-7000 ER -