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.firstpage","1"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","ACM Transactions on Graphics"],["dc.bibliographiccitation.lastpage","12"],["dc.bibliographiccitation.volume","33"],["dc.contributor.author","Garg, Akash"],["dc.contributor.author","Sageman-Furnas, Andrew O."],["dc.contributor.author","Deng, Bailin"],["dc.contributor.author","Yue, Yonghao"],["dc.contributor.author","Grinspun, Eitan"],["dc.contributor.author","Pauly, Mark"],["dc.contributor.author","Wardetzky, Max"],["dc.date.accessioned","2017-09-07T11:54:09Z"],["dc.date.available","2017-09-07T11:54:09Z"],["dc.date.issued","2014"],["dc.description.abstract","We present a computational approach for designing wire meshes, i.e., freeform surfaces composed of woven wires arranged in a regular grid. To facilitate shape exploration, we map material properties of wire meshes to the geometric model of Chebyshev nets. This abstraction is exploited to build an efficient optimization scheme. While the theory of Chebyshev nets suggests a highly constrained design space, we show that allowing controlled deviations from the underlying surface provides a rich shape space for design exploration. Our algorithm balances globally coupled material constraints with aesthetic and geometric design objectives that can be specified by the user in an interactive design session. In addition to sculptural art, wire meshes represent an innovative medium for industrial applications including composite materials and architectural façades. We demonstrate the effectiveness of our approach using a variety of digital and physical prototypes with a level of shape complexity unobtainable using previous methods."],["dc.identifier.doi","10.1145/2601097.2601106"],["dc.identifier.gro","3146516"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4298"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0730-0301"],["dc.title","Wire mesh design"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Mathur, Saurabh"],["dc.contributor.author","Kaelberer, Felix"],["dc.contributor.author","Grinspun, Eitan"],["dc.contributor.editor","Belyaev, Alexander"],["dc.contributor.editor","Garland, Michael"],["dc.date.accessioned","2017-09-07T11:54:19Z"],["dc.date.available","2017-09-07T11:54:19Z"],["dc.date.issued","2007"],["dc.description.abstract","Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to simulation. For robustness and efficiency, many applications require discrete operators that retain key structural properties inherent to the continuous setting. Building on the smooth setting, we present a set of natural properties for discrete Laplace operators for triangular surface meshes. We prove an important theoretical limitation: discrete Laplacians cannot satisfy all natural properties; retroactively, this explains the diversity of existing discrete Laplace operators. Finally, we present a family of operators that includes and extends well-known and widely-used operators."],["dc.identifier.doi","10.2312/SGP/SGP07/033-037"],["dc.identifier.gro","3146532"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4316"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","The Eurographics Association"],["dc.relation.isbn","978-3-905673-46-3"],["dc.relation.ispartof","Geometry Processing"],["dc.relation.issn","1727-8384"],["dc.title","Discrete Laplace operators: No free lunch"],["dc.type","conference_paper"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","81"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Computer Graphics Forum"],["dc.bibliographiccitation.lastpage","92"],["dc.bibliographiccitation.volume","39"],["dc.contributor.author","Stein, Oded"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Jacobson, Alec"],["dc.contributor.author","Grinspun, Eitan"],["dc.date.accessioned","2021-04-14T08:24:09Z"],["dc.date.available","2021-04-14T08:24:09Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1111/cgf.14070"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/81181"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-399"],["dc.relation.eissn","1467-8659"],["dc.relation.issn","0167-7055"],["dc.title","A Simple Discretization of the Vector Dirichlet Energy"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","ACM Transactions on Graphics"],["dc.bibliographiccitation.lastpage","13"],["dc.bibliographiccitation.volume","37"],["dc.contributor.author","Stein, Oded"],["dc.contributor.author","Grinspun, Eitan"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Jacobson, Alec"],["dc.date.accessioned","2020-12-10T18:37:37Z"],["dc.date.available","2020-12-10T18:37:37Z"],["dc.date.issued","2018"],["dc.identifier.doi","10.1145/3186564"],["dc.identifier.eissn","1557-7368"],["dc.identifier.issn","0730-0301"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/77039"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Natural Boundary Conditions for Smoothing in Geometry Processing"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["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"]]

[["dc.bibliographiccitation.firstpage","91"],["dc.bibliographiccitation.lastpage","98"],["dc.contributor.author","Garg, Akash"],["dc.contributor.author","Grinspun, Eitan"],["dc.contributor.author","Wardetzky, Max"],["dc.contributor.author","Zorin, Denis"],["dc.contributor.editor","Gleicher, Michael"],["dc.contributor.editor","Thalmann, Daniel"],["dc.date.accessioned","2017-09-07T11:54:19Z"],["dc.date.available","2017-09-07T11:54:19Z"],["dc.date.issued","2007"],["dc.identifier.gro","3146533"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4317"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Association for Computing Machinery, Inc"],["dc.relation.ispartof","Symposium on Computer Animation 2007 - ACM SIGGRAPH / Eurographics Symposium Proceedings, SCA 2007"],["dc.title","Cubic shells"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]