<h1>Desbrun, Mathieu</h1> <h2>Article from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Bai, Kai and Wang, Chunhao, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220128-526470800">Predicting high-resolution turbulence details in space and time</a>; ACM Transactions on Graphics; Vol. 40; No. 6; Art. No. 200; <a href="https://doi.org/10.1145/3478513.3480492">10.1145/3478513.3480492</a></li> <li>Lyu, Chaoyang and Li, Wei, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220128-799406600">Fast and versatile fluid-solid coupling for turbulent flow simulation</a>; ACM Transactions on Graphics; Vol. 40; No. 6; Art. No. 201; <a href="https://doi.org/10.1145/3478513.3480493">10.1145/3478513.3480493</a></li> <li>Chen, Jiong and Schäfer, Florian, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210809-193100494">Multiscale cholesky preconditioning for ill-conditioned problems</a>; ACM Transactions on Graphics; Vol. 40; No. 4; Art. No. 81; <a href="https://doi.org/10.1145/3450626.3459851">10.1145/3450626.3459851</a></li> <li>Li, Wei and Liu, Daoming, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200214-103517604">Kinetic-Based Multiphase Flow Simulation</a>; IEEE Transactions on Visualization and Computer Graphics; Vol. 27; No. 7; 3318-3334; <a href="https://doi.org/10.1109/tvcg.2020.2972357">10.1109/tvcg.2020.2972357</a></li> <li>Bai, Kai and Li, Wei, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210208-105847990">Dynamic Upsampling of Smoke through Dictionary-based Learning</a>; ACM Transactions on Graphics; Vol. 40; No. 1; Art. No. 4; <a href="https://doi.org/10.1145/3412360">10.1145/3412360</a></li> <li>Paulin, Lois and Bonneel, Nicolas, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201217-102528065">Sliced optimal transport sampling</a>; ACM Transactions on Graphics; Vol. 39; No. 4; Art. No. 99; <a href="https://doi.org/10.1145/3386569.3392395">10.1145/3386569.3392395</a></li> <li>Li, Wei and Chen, Yixin, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201218-140644519">Fast and scalable turbulent flow simulation with two-way coupling</a>; ACM Transactions on Graphics; Vol. 39; No. 4; Art. No. 47; <a href="https://doi.org/10.1145/3386569.3392400">10.1145/3386569.3392400</a></li> <li>de Goes, Fernando and Butts, Andrew, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201218-142602531">Discrete differential operators on polygonal meshes</a>; ACM Transactions on Graphics; Vol. 39; No. 4; Art. No. 110; <a href="https://doi.org/10.1145/3386569.3392389">10.1145/3386569.3392389</a></li> <li>Budninskiy, Max and Abdelaziz, Ameera, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200421-074434960">Laplacian-optimized diffusion for semi-supervised learning</a>; Computer Aided Geometric Design; Vol. 79; Art. No. 101864; <a href="https://doi.org/10.1016/j.cagd.2020.101864">10.1016/j.cagd.2020.101864</a></li> <li>Yeung, Melissa and Cohen-Steiner, David, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200313-142323301">Material coherence from trajectories via Burau eigenanalysis of braids</a>; Chaos; Vol. 30; No. 3; Art. No. 033122; <a href="https://doi.org/10.1063/1.5128269">10.1063/1.5128269</a></li> <li>Zhao, Rundong and Desbrun, Mathieu, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191210-100906607">3D hodge decompositions of edge- and face-based vector fields</a>; ACM Transactions on Graphics; Vol. 38; No. 6; Art. No. 181; <a href="https://doi.org/10.1145/3355089.3356546">10.1145/3355089.3356546</a></li> <li>Chen, Jiong and Budninskiy, Max, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191111-134055447">Material-adapted refinable basis functions for elasticity simulation</a>; ACM Transactions on Graphics; Vol. 38; No. 6; Art. No. 161; <a href="https://doi.org/10.1145/3355089.3356567">10.1145/3355089.3356567</a></li> <li>Tyranowski, Tomasz M. and Desbrun, Mathieu (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190919-113942039">Variational Partitioned Runge–Kutta Methods for Lagrangians Linear in Velocities</a>; Mathematics; Vol. 7; No. 9; Art. no. 861; <a href="https://doi.org/10.3390/math7090861">10.3390/math7090861</a></li> <li>Budninskiy, Max and Owhadi, Houman, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190315-100824617">Operator-adapted wavelets for finite-element differential forms</a>; Journal of Computational Physics; Vol. 388; 144-177; <a href="https://doi.org/10.1016/j.jcp.2019.02.018">10.1016/j.jcp.2019.02.018</a></li> <li>Tyranowski, Tomasz M. and Desbrun, Mathieu (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190718-142449959">R-Adaptive Multisymplectic and Variational Integrators</a>; Mathematics; Vol. 7; No. 7; Art. No. 642; <a href="https://doi.org/10.3390/math7070642">10.3390/math7070642</a></li> <li>Chen, Jiong and Bao, Hujun, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180731-142000657">Numerical coarsening using discontinuous shape functions</a>; ACM Transactions on Graphics; Vol. 37; No. 4; Art. No. 120; <a href="https://doi.org/10.1145/3197517.3201386">10.1145/3197517.3201386</a></li> <li>Fang, Xianzhong and Bao, Hujun, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180731-111441460">Quadrangulation through Morse-Parameterization Hybridization</a>; ACM Transactions on Graphics; Vol. 37; No. 4; Art. No. 92; <a href="https://doi.org/10.1145/3197517.3201354">10.1145/3197517.3201354</a></li> <li>Feng, Leman and Alliez, Pierre, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180731-144255627">Curved optimal delaunay triangulation</a>; ACM Transactions on Graphics; Vol. 37; No. 4; Art. No. 61; <a href="https://doi.org/10.1145/3197517.3201358">10.1145/3197517.3201358</a></li> <li>Budninskiy, Max and Liu, Beibei, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170914-101624863">Spectral Affine-Kernel Embeddings</a>; Computer Graphics Forum; Vol. 36; No. 5; 117-129; <a href="https://doi.org/10.1111/cgf.13250">10.1111/cgf.13250</a></li> <li>Mandad, Manish and Cohen-Steiner, David, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170928-100718143">Variance-minimizing transport plans for inter-surface mapping</a>; ACM Transactions on Graphics; Vol. 36; No. 4; 1-14; <a href="https://doi.org/10.1145/3072959.3073671">10.1145/3072959.3073671</a></li> <li>Demoures, François and Gay-Balmaz, François, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170309-083703860">A multisymplectic integrator for elastodynamic frictionless impact problems</a>; Computer Methods in Applied Mechanics and Engineering; Vol. 315; 1025-1052; <a href="https://doi.org/10.1016/j.cma.2016.11.011">10.1016/j.cma.2016.11.011</a></li> <li>Budninskiy, Max and Liu, Beibei, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161215-110317071">Power Coordinates: A Geometric Construction of Barycentric Coordinates on Convex Polytopes</a>; ACM Transactions on Graphics; Vol. 35; No. 6; Art. No. 241; <a href="https://doi.org/10.1145/2980179.2982441">10.1145/2980179.2982441</a></li> <li>Budninskiy, Max and Liu, Beibei, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161215-110914022">Optimal Voronoi tessellations with Hessian-based anisotropy</a>; ACM Transactions on Graphics; Vol. 35; No. 6; Art. No. 242; <a href="https://doi.org/10.1145/2980179.2980245">10.1145/2980179.2980245</a></li> <li>Shi, Zeyun and Alliez, Pierre, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161014-133842439">Symmetry and Orbit Detection via Lie-Algebra Voting</a>; Computer Graphics Forum; Vol. 35; No. 5; 217-227; <a href="https://doi.org/10.1111/cgf.12978">10.1111/cgf.12978</a></li> <li>Shi, Zeyun and Alliez, Pierre, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160630-141056845">Symmetry and Orbit Detection via Lie-Algebra Voting</a>; Computer Graphics Forum; Vol. 35; No. 5; 217-227; <a href="https://doi.org/10.1111/cgf.12978">10.1111/cgf.12978</a></li> <li>de Goes, Fernando and Desbrun, Mathieu, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161128-155742047">Subdivision exterior calculus for geometry processing</a>; ACM Transactions on Graphics; Vol. 35; No. 4; 1-11; <a href="https://doi.org/10.1145/2897824.2925880">10.1145/2897824.2925880</a></li> <li>Liu, Beibei and Tong, Yiying, el al. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160316-072837925">Discrete Connection and Covariant Derivative for Vector Field Analysis and Design</a>; ACM Transactions on Graphics; Vol. 35; No. 3; Art. No. 23; <a href="https://doi.org/10.1145/2870629">10.1145/2870629</a></li> <li>Michels, Dominik L. and Desbrun, Mathieu (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151218-110912018">A semi-analytical approach to molecular dynamics</a>; Journal of Computational Physics; Vol. 303; 336-354; <a href="https://doi.org/10.1016/j.jcp.2015.10.009">10.1016/j.jcp.2015.10.009</a></li> <li>Liu, Beibei and Mason, Gemma, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151120-080318149">Model-reduced variational fluid simulation</a>; ACM Transactions on Graphics; Vol. 34; No. 6; Art. No. 244; <a href="https://doi.org/10.1145/2816795.2818130">10.1145/2816795.2818130</a></li> <li>de Goes, Fernando and Wallez, Corentin, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150814-150739482">Power particles: an incompressible fluid solver based on power diagrams</a>; ACM Transactions on Graphics; Vol. 34; No. 4; Art. No. 50; <a href="https://doi.org/10.1145/2766901">10.1145/2766901</a></li> <li>Jiang, Tengfei and Fang, Xianzhong, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150814-150019702">Frame field generation through metric customization</a>; ACM Transactions on Graphics; Vol. 34; No. 4; Art. No. 40; <a href="https://doi.org/10.1145/2766927">10.1145/2766927</a></li> <li>de Goes, Fernando and Liu, Beibei, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140930-100031848">Discrete 2-Tensor Fields on Triangulations</a>; Computer Graphics Forum; Vol. 33; No. 5; 13-24; <a href="https://doi.org/10.1111/cgf.12427">10.1111/cgf.12427</a></li> <li>Wachtel, Florent and Pilleboue, Adrien, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140819-131914770">Fast tile-based adaptive sampling with user-specified Fourier spectra</a>; ACM Transactions on Graphics; Vol. 33; No. 4; Art. No. 56; <a href="https://doi.org/10.1145/2601097.2601107">10.1145/2601097.2601107</a></li> <li>Lessig, Christian and Desbrun, Mathieu, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140819-131956034">A constructive theory of sampling for image synthesis using reproducing kernel bases</a>; ACM Transactions on Graphics; Vol. 33; No. 4; Art. No. 55; <a href="https://doi.org/10.1145/2601097.2601149">10.1145/2601097.2601149</a></li> <li>Li, Siwang and Huang, Jin, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140819-131816957">Space-time editing of elastic motion through material optimization and reduction</a>; ACM Transactions on Graphics; Vol. 33; No. 4; Art. No. 108; <a href="https://doi.org/10.1145/2601097.2601217">10.1145/2601097.2601217</a></li> <li>de Goes, Fernando and Memari, Pooran, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140707-093812947">Weighted Triangulations for Geometry Processing</a>; ACM Transactions on Graphics; Vol. 33; No. 3; Art. No. 28; <a href="https://doi.org/10.1145/2602143">10.1145/2602143</a></li> <li>Huang, Jin and Jiang, Tengfei, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140707-131442627">ℓ_1-Based Construction of Polycube Maps from Complex Shapes</a>; ACM Transactions on Graphics; Vol. 33; No. 3; Art. No. 25; <a href="https://doi.org/10.1145/2602141">10.1145/2602141</a></li> <li>Digne, Julie and Cohen-Steiner, David, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140213-143249205">Feature-Preserving Surface Reconstruction and Simplification from Defect-Laden Point Sets</a>; Journal of Mathematical Imaging and Vision; Vol. 48; No. 2; 369-382; <a href="https://doi.org/10.1007/s10851-013-0414-y">10.1007/s10851-013-0414-y</a></li> <li>Rufat, Dzhelil and Mason, Gemma, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131220-091640123">The chain collocation method: A spectrally accurate calculus of forms</a>; Journal of Computational Physics; Vol. 257; 1352-1372; <a href="https://doi.org/10.1016/j.jcp.2013.08.011">10.1016/j.jcp.2013.08.011</a></li> <li>Jacobs, Henry O. and Ratiu, Tudor S., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140102-113056003">On the coupling between an ideal fluid and immersed particles</a>; Physica D; Vol. 265; 40-56; <a href="https://doi.org/10.1016/j.physd.2013.09.004">10.1016/j.physd.2013.09.004</a></li> <li>Desbrun, Mathieu and Gawlik, Evan S., el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131114-134029870">Variational discretization for rotating stratified fluids</a>; Discrete and Continuous Dynamical Systems; Vol. 34; No. 2; 477-509; <a href="https://doi.org/10.3934/dcds.2014.34.477">10.3934/dcds.2014.34.477</a></li> <li>de Goes, Fernando and Alliez, Pierre, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130829-153504635">On the equilibrium of simplicial masonry structures</a>; ACM Transactions on Graphics; Vol. 32; No. 4; Art. No. 93; <a href="https://doi.org/10.1145/2461912.2461932">10.1145/2461912.2461932</a></li> <li>Li, Siwang and Huang, Jin, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130827-130926798">Interactive elastic motion editing through space–time position constraints</a>; Computer Animation and Virtual Worlds; Vol. 24; No. 3-4; 409-417; <a href="https://doi.org/10.1002/cav.1521">10.1002/cav.1521</a></li> <li>de Goes, Fernando and Breeden, Katherine, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130103-143514090">Blue noise through optimal transport</a>; ACM Transactions on Graphics; Vol. 31; No. 6; Art. No. 171; <a href="https://doi.org/10.1145/2366145.2366190">10.1145/2366145.2366190</a></li> <li>Gawlik, E. S. and Mullen, P., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120103-140434914">Geometric, variational discretization of continuum theories</a>; Physica D; Vol. 240; No. 21; 1724-1760; <a href="https://doi.org/10.1016/j.physd.2011.07.011">10.1016/j.physd.2011.07.011</a></li> <li>de Goes, Fernando and Cohen-Steiner, David, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110901-092539933">An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes</a>; Computer Graphics Forum; Vol. 30; No. 5; 1593-1602; <a href="https://doi.org/10.1111/j.1467-8659.2011.02033.x">10.1111/j.1467-8659.2011.02033.x</a></li> <li>Mullen, Patrick and Memari, Pooran, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120104-094536122">HOT: Hodge-optimized triangulations</a>; ACM Transactions on Graphics; Vol. 30; No. 4; Art. No. 103; <a href="https://doi.org/10.1145/1964921.1964998">10.1145/1964921.1964998</a></li> <li>Huang, Jin and Tong, Yiying, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110526-151250694">Interactive Shape Interpolation through Controllable Dynamic Deformation</a>; IEEE Transactions on Visualization and Computer Graphics; Vol. 17; No. 7; 983-992; <a href="https://doi.org/10.1109/TVCG.2010.109">10.1109/TVCG.2010.109</a></li> <li>Mullen, P. and McKenzie, A., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100930-091445735">Discrete Lie Advection of Differential Forms</a>; Foundations of Computational Mathematics; Vol. 11; No. 2; 131-149; <a href="https://doi.org/10.1007/s10208-010-9076-y">10.1007/s10208-010-9076-y</a></li> <li>Pavlov, D. and Mullen, P., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110309-092043242">Structure-preserving discretization of incompressible fluids</a>; Physica D; Vol. 240; No. 6; 443-458; <a href="https://doi.org/10.1016/j.physd.2010.10.012">10.1016/j.physd.2010.10.012</a></li> <li>de Goes, Fernando and Goldenstein, Siome, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110316-093514960">EXOSKELETON: Curve network abstraction for 3D shapes</a>; Computers and Graphics; Vol. 35; No. 1; 112-121; <a href="https://doi.org/10.1016/j.cag.2010.11.012">10.1016/j.cag.2010.11.012</a></li> <li>Mullen, Patrick and de Goes, Fernando, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101013-093631503">Signing the Unsigned: Robust Surface Reconstruction from Raw Pointsets</a>; Computer Graphics Forum; Vol. 29; No. 5; 1733-1741; <a href="https://doi.org/10.1111/j.1467-8659.2010.01782.x">10.1111/j.1467-8659.2010.01782.x</a></li> <li>Crane, Keenan and Desbrun, Mathieu, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101011-145011916">Trivial Connections on Discrete Surfaces</a>; Computer Graphics Forum; Vol. 29; No. 5; 1525-1533; <a href="https://doi.org/10.1111/j.1467-8659.2010.01761.x">10.1111/j.1467-8659.2010.01761.x</a></li> <li>Zhou, Kun and Xu, Weiwei, el al. 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