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Showing 1 to 5 of 5 for “"Discrete differential geometry"”.

  1. Discrete Differential Geometry of Thin Materials for Computational Mechanics

    … to the problem first, and then compute with the discrete geometry. This structure-respecting discrete-differential-geometric (DDG) approach often leads to new algorithms that more accurately track the physically behavior of the system with less computational effort. Thin objects, such as pieces …

    columbia-diss Repository record for Discrete Differential Geometry of Thin Materials for Computational Mechanics (opens in a new tab)

  2. Continuous and discrete aspects of Lagrangian field theories with nonholonomic constraints

    This dissertation is a contribution to the differential-geometric treatment of classical field theories. In particular, I study both discrete and continuous aspects of classical field theories, in particular those with nonholonomic constraints. After some introductory chapters dealing with the …

    ghent Repository record for Continuous and discrete aspects of Lagrangian field theories with nonholonomic constraints (opens in a new tab)

  3. Atom-Based Geometrical Fingerprinting of Conformal Two-Dimensional Materials

    … bonds. Therefore the study of local shape and geometry of two-dimensional materials is a fundamental prerequisite to investigate physical and chemical properties. Hereby the use of discrete geometry to discuss the shape of two-dimensional materials is initiated. </p> <p>The local geometry of a …

    arkansas Repository record for Atom-Based Geometrical Fingerprinting of Conformal Two-Dimensional Materials (opens in a new tab)

  4. Automatic 3D facial modelling with deformable models.

    … expression transferring in the framework of discrete differential geometry. The author also applied his methods to face tracking for 4D range scans. The results demonstrated the robustness of the registration method and the capabilities of the deformable model. A number of possible directions …

    rgu Repository record for Automatic 3D facial modelling with deformable models. (opens in a new tab)

  5. Integrable symmetric fields in computational design : from stable woven shells to seamless parameterizations

    … in computer graphics, particularly in areas like geometry processing and computational fabrication, leverage a general toolkit that can be conceptualized as leveraging energy driven pattern formation to solve inverse problems. A large class of such problems ultimately involve minimizing an energy …

    texas Repository record for Integrable symmetric fields in computational design : from stable woven shells to seamless parameterizations (opens in a new tab)