@inproceedings{GoetschelTycowiczPolthieretal.2015, author = {G{\"o}tschel, Sebastian and Tycowicz, Christoph von and Polthier, Konrad and Weiser, Martin}, title = {Reducing Memory Requirements in Scientific Computing and Optimal Control}, booktitle = {Multiple Shooting and Time Domain Decomposition Methods}, editor = {Carraro, T. and Geiger, M. and Koerkel, S. and Rannacher, R.}, publisher = {Springer}, pages = {263 -- 287}, year = {2015}, language = {en} } @inproceedings{MajewskiPolthier2004, author = {Majewski, Mirek and Polthier, Konrad}, title = {Using MuPAD and JavaView to visualize mathematics on the Internet}, booktitle = {Proc. of the 9th Asian Technology Conference in Mathematics}, pages = {465 -- 474}, year = {2004}, language = {en} } @inproceedings{Polthier2005, author = {Polthier, Konrad}, title = {Computational aspects of discrete minimal surfaces}, booktitle = {Global Theory of Minimal Surfaces, Proc. of the Clay Mathematics Institute Summer School, CMI/AMS}, editor = {Hass, J. and Hoffman, D. and Jaffe, A. and Rosenberg, H. and Schoen, R. and Wol, M.}, year = {2005}, language = {en} } @inproceedings{HildebrandtPolthierPreuss2005, author = {Hildebrandt, Klaus and Polthier, Konrad and Preuß, Eike}, title = {Evolution of 3D curves under strict spatial constraints}, booktitle = {IEEE Proceedings on Ninth International Conference on Computer Aided Design and Computer Graphics (CAD/CG 2005)}, doi = {10.1109/CAD-CG.2005.38}, pages = {40 -- 45}, year = {2005}, language = {en} } @inproceedings{HildebrandtPolthierWardetzky2005, author = {Hildebrandt, Klaus and Polthier, Konrad and Wardetzky, Max}, title = {Smooth feature lines on surface meshes}, booktitle = {Third Eurographics Symposium on Geometry Processing}, pages = {85 -- 90}, year = {2005}, language = {en} } @inproceedings{KaelbererTycowiczPolthier2009, author = {K{\"a}lberer, Felix and Tycowicz, Christoph von and Polthier, Konrad}, title = {Lossless Compression of Adaptive Multiresolution Meshes}, booktitle = {XXII Brazilian Symposium on Computer Graphics and Image Processing}, doi = {10.1109/SIBGRAPI.2009.53}, pages = {80 -- 87}, year = {2009}, abstract = {We present a novel coder for lossless compression of adaptive multiresolution meshes that exploits their special hierarchical structure. The heart of our method is a new progressive connectivity coder that can be combined with leading geometry encoding techniques. The compressor uses the parent/child relationships inherent to the hierarchical mesh. We use the rules that accord to the refinement scheme and store bits only where it leaves freedom of choice, leading to compact codes that are free of redundancy. To illustrate our scheme we chose the widespread red-green refinement, but the underlying concepts can be directly transferred to other adaptive refinement schemes as well. The compression ratio of our method exceeds that of state-of-the-art coders by a factor of 2 to 3 on most of our benchmark models.}, language = {en} }