Wardetzky, Max

[["dc.bibliographiccitation.artnumber","1"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","ACM Transactions on Graphics"],["dc.bibliographiccitation.volume","27"],["dc.contributor.author","Bergou, Miklós"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Robinson, Stephen"],["dc.contributor.author","Audoly, Basile"],["dc.contributor.author","Grinspun, Eitan"],["dc.date.accessioned","2017-09-07T11:54:09Z"],["dc.date.available","2017-09-07T11:54:09Z"],["dc.date.issued","2008"],["dc.description.abstract","We present a discrete treatment of adapted framed curves, parallel transport, and holonomy, thus establishing the language for a discrete geometric model of thin flexible rods with arbitrary cross section and undeformed configuration. Our approach differs from existing simulation techniques in the graphics and mechanics literature both in the kinematic description---we represent the material frame by its angular deviation from the natural Bishop frame---as well as in the dynamical treatment---we treat the centerline as dynamic and the material frame as quasistatic. Additionally, we describe a manifold projection method for coupling rods to rigid-bodies and simultaneously enforcing rod inextensibility. The use of quasistatics and constraints provides an efficient treatment for stiff twisting and stretching modes; at the same time, we retain the dynamic bending of the centerline and accurately reproduce the coupling between bending and twisting modes. We validate the discrete rod model via quantitative buckling, stability, and coupled-mode experiments, and via qualitative knot-tying comparisons."],["dc.identifier.doi","10.1145/1360612.1360662"],["dc.identifier.gro","3146528"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4312"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Association for Computing Machinery (ACM)"],["dc.relation.issn","0730-0301"],["dc.title","Discrete elastic rods"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","50"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","ACM Transactions on Graphics"],["dc.bibliographiccitation.volume","26"],["dc.contributor.author","Bergou, Miklós"],["dc.contributor.author","Mathur, Saurabh"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Grinspun, Eitan"],["dc.date.accessioned","2017-09-07T11:54:10Z"],["dc.date.available","2017-09-07T11:54:10Z"],["dc.date.issued","2007"],["dc.description.abstract","We combine the often opposing forces of artistic freedom and mathematical determinism to enrich a given animation or simulation of a surface with physically based detail. We present a process called tracking, which takes as input a rough animation or simulation and enhances it with physically simulated detail. Building on the foundation of constrained Lagrangian mechanics, we propose weak-form constraints for tracking the input motion. This method allows the artist to choose where to add details such as characteristic wrinkles and folds of various thin shell materials and dynamical effects of physical forces. We demonstrate multiple applications ranging from enhancing an artist's animated character to guiding a simulated inanimate object."],["dc.identifier.doi","10.1145/1276377.1276439"],["dc.identifier.gro","3146530"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4314"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Association for Computing Machinery (ACM)"],["dc.relation.issn","0730-0301"],["dc.title","TRACKS: toward directable thin shells"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.contributor.author","Bergou, Miklós"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Harmon, David"],["dc.contributor.author","Zorin, Denis"],["dc.contributor.author","Grinspun, Eitan"],["dc.contributor.editor","Sheffer, Alla"],["dc.contributor.editor","Polthier, Konrad"],["dc.date.accessioned","2017-09-07T11:54:19Z"],["dc.date.available","2017-09-07T11:54:19Z"],["dc.date.issued","2006"],["dc.description.abstract","Relating the intrinsic Laplacian to the mean curvature normal, we arrive at a model for bending of inextensible surfaces. Due to its constant Hessian, our isometric bending model reduces cloth simulation times up to three-fold."],["dc.identifier.doi","10.2312/SGP/SGP06/227-230"],["dc.identifier.gro","3146535"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4319"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","The Eurographics Association"],["dc.relation.isbn","3-905673-24-X"],["dc.relation.ispartof","Symposium on Geometry Processing"],["dc.relation.issn","1727-8384"],["dc.title","A Quadratic Bending Model for Inextensible Surfaces"],["dc.type","conference_paper"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","499"],["dc.bibliographiccitation.issue","8-9"],["dc.bibliographiccitation.journal","Computer Aided Geometric Design"],["dc.bibliographiccitation.lastpage","518"],["dc.bibliographiccitation.volume","24"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Bergou, Miklós"],["dc.contributor.author","Harmon, David"],["dc.contributor.author","Zorin, Denis"],["dc.contributor.author","Grinspun, Eitan"],["dc.date.accessioned","2017-09-07T11:54:19Z"],["dc.date.available","2017-09-07T11:54:19Z"],["dc.date.issued","2007"],["dc.description.abstract","We present a family of discrete isometric bending models (IBMs) for triangulated surfaces in 3-space. These models are derived from an axiomatic treatment of discrete Laplace operators, using these operators to obtain linear models for discrete mean curvature from which bending energies are assembled. Under the assumption of isometric surface deformations we show that these energies are quadratic in surface positions. The corresponding linear energy gradients and constant energy Hessians constitute an efficient model for computing bending forces and their derivatives, enabling fast time-integration of cloth dynamics with a two- to three-fold net speedup over existing nonlinear methods, and near-interactive rates for Willmore smoothing of large meshes."],["dc.identifier.doi","10.1016/j.cagd.2007.07.006"],["dc.identifier.gro","3146531"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4315"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0167-8396"],["dc.title","Discrete quadratic curvature energies"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","1"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","ACM Transactions on Graphics"],["dc.bibliographiccitation.volume","29"],["dc.contributor.author","Bergou, Miklós"],["dc.contributor.author","Audoly, Basile"],["dc.contributor.author","Vouga, Etienne"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Grinspun, Eitan"],["dc.date.accessioned","2017-09-07T11:54:17Z"],["dc.date.available","2017-09-07T11:54:17Z"],["dc.date.issued","2010"],["dc.description.abstract","We present a continuum-based discrete model for thin threads of viscous fluid by drawing upon the Rayleigh analogy to elastic rods, demonstrating canonical coiling, folding, and breakup in dynamic simulations. Our derivation emphasizes space-time symmetry, which sheds light on the role of time-parallel transport in eliminating---without approximation---all but an O(n) band of entries of the physical system's energy Hessian. The result is a fast, unified, implicit treatment of viscous threads and elastic rods that closely reproduces a variety of fascinating physical phenomena, including hysteretic transitions between coiling regimes, competition between surface tension and gravity, and the first numerical fluid-mechanical sewing machine. The novel implicit treatment also yields an order of magnitude speedup in our elastic rod dynamics."],["dc.identifier.doi","10.1145/1778765.1778853"],["dc.identifier.gro","3146526"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4309"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Association for Computing Machinery (ACM)"],["dc.relation.issn","0730-0301"],["dc.title","Discrete viscous threads"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]