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Showing 1 to 10 of 10 for “"quasi-conformal"”.

  1. Design of a constraint device for compliant bodies using quasi-conformal contact surfaces as applied to mouse imaging

    … of this work is the modeling and prototyping of quasi-conformal constraint contacts and the investigation of their positioning ability for compliant bodies, specifically for the holding of mice in optical imaging setups. The direct application of this work is the restraint of laboratory mice for …

    mit Repository record for Design of a constraint device for compliant bodies using quasi-conformal contact surfaces as applied to mouse imaging (opens in a new tab)

  2. Shape analysis in shape space

    … are proposed. </p> <p>In the first method, a quasi conformal shape space is constructed based on a novel quasi-conformal metric, which preserves the curvature changes at each vertex during the deformation. Besides, a classification framework is introduced for deformation classification. The …

    wayne-thes Repository record for Shape analysis in shape space (opens in a new tab)

  3. Quadrilateral Remeshing and Efficient Surface Parameterization

    … describe a new iterative method for constructing quasi-conformal parameterizations with free boundaries. We formulate the problem as fitting the coordinate gradients to two guidance vector fields of equal magnitude that are everywhere orthogonal. In only one linear step, our method efficiently …

    uiuc Repository record for Quadrilateral Remeshing and Efficient Surface Parameterization (opens in a new tab)

  4. Quasiconformal Groups

    In this thesis the notion of Schottky quasiconformal groups is introduced. We study Schottky quasiconformal groups and show that the limit set L(G) of any Schottky quasi-conformal group G is uniformly perfect. Then the concept of Schottky-type quasiconformal groups is introduced, and we generalize …

    uiuc Repository record for Quasiconformal Groups (opens in a new tab)

  5. Advances in Complex Electromagnetic Media

    … a numerical scheme could be employed to find quasi-conformal transformations for which the requisite complex material distribution could be well approximated by an isotropic, inhomogeneous media. This process was previously used to demonstrate a carpet cloak-a device which masks a bump in a …

    duke Repository record for Advances in Complex Electromagnetic Media (opens in a new tab)

  6. Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces

    … After discussing homotheties and conformal mappings of $\Heis^n$, we show the convergence of base-$b$ and continued fraction expansions of points in $\Heis^n$, and discuss their dynamical properties. We then generalize to sub-Riemannian manifolds and their quasi-conformal and …

    uiuc Repository record for Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces (opens in a new tab)

  7. Geometric Computing beyond the Laplacian

    … numerical schemes to search for the metric or conformal structure whose associated (generalized) Laplacian is optimal for a given task, or explicitly design operators as suggested by modern spectral geometry. Concretely speaking, to represent an arbitrary diffeomorphism or injective map that is …

    mit Repository record for Geometric Computing beyond the Laplacian (opens in a new tab)

  8. Articles on Potential Theory, Functional Analysis and Hankel Forms

    … operator are derived from recent results in quasi-conformal mapping theory, in the case of planar curves with corners. Paper II: Perfekt, K.-M., Duality and distance formulas in spaces defined by means of oscillation, Arkiv för Matematik, (2012), pp. 1-17 (Online First). For the classical …

    lund Repository record for Articles on Potential Theory, Functional Analysis and Hankel Forms (opens in a new tab)

  9. Complex-Analytic Methods in Reconstructive Integral Geometry

    … formula as well as some results on quasi-conformal mapping theory. These results are used in establishing a stability estimate on a natural generalization of this polynomial space in real-analytic functions in an attempt to address approximation/truncation concerns. Finally, we take …

    columbia-diss Repository record for Complex-Analytic Methods in Reconstructive Integral Geometry (opens in a new tab)

  10. Subdivision and manifold techniques for isogeometric design and analysis of surfaces

    … differential-geometric manifold techniques with conformal parametrisations and the partition of unity method. This thesis derives novel manifold-based basis functions with arbitrary prescribed smoothness using quasi-conformal maps, enabling us to model and analyse surfaces with sharp features, …

    cambridge Repository record for Subdivision and manifold techniques for isogeometric design and analysis of surfaces (opens in a new tab)