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2012, Mathematical surveys and monographs, ISBN 9780821890868, Volume no. 184., xi, 171
Book
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2015, Volume 34, Issue 4, pp. 1 - 13
We introduce a method for computing seamless bijective mappings between two surface-meshes that interpolates a given set of correspondences. A common approach... 
seamless | conformal distortion | bijective simplicial mappings | surface mesh | Bijective simplicial mappings | Conformal distortion | Seamless | Surface mesh | COMPUTER SCIENCE, SOFTWARE ENGINEERING | PARAMETERIZATION | Flattening | Algorithms | Planes | Computation | Disks | Inverse | Mapping | Composing
Journal Article
Science, ISSN 0036-8075, 6/2006, Volume 312, Issue 5781, pp. 1777 - 1780
An invisibility device should guide light around an object as if nothing were there, regardless of where the light comes from. Ideal invisibility devices are... 
Circles | Maps | Wavelengths | Dielectric materials | Light refraction | Conformal mapping | Geometric shapes | Coordinate systems | Geometrical optics | Reports | Waves | INVISIBLE BODIES | METAMATERIALS | INDEX | MULTIDISCIPLINARY SCIENCES | REFRACTION | Research | Light | Analysis | Testing
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0734-2071, 07/2014, Volume 33, Issue 4, pp. 1 - 11
The problem of planar mapping and deformation is central in computer graphics. This paper presents a framework for adapting general, smooth, function bases for... 
conformal distortion | meshless deformation | bijective mappings | bounded isometric distortion | Conformal distortion | Bijective mappings | Meshless deformation | Bounded isometric distortion | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ALGORITHMS | Finite element method | Deformation | Collocation | Mathematical analysis | Meshless methods | Distortion | Mapping | Density
Journal Article
2009, Princeton mathematical series, ISBN 0691137773, Volume 48, xvi, 677
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial... 
Differential equations, Elliptic | Quasiconformal mappings | Mathematics
Book
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 11/2015, Volume 34, Issue 6, pp. 1 - 10
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2013, Volume 32, Issue 4, pp. 1 - 14
We introduce an efficient algorithm for producing provably injective mappings of tetrahedral meshes with strict bounds on their tetrahedra aspect-ratio... 
tetrahedral meshes | quasi-conformal | bounded distortion | bijective mapping | conformal distortion | simplicial maps | Conformal distortion | Simplicial maps | Tetrahedral meshes | Bijective mapping | Quasi-conformal | Bounded distortion | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MAPS | Algorithms | Distortion | Mapping | Three dimensional
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 08/2012, Volume 31, Issue 4, pp. 1 - 13
The problem of mapping triangular meshes into the plane is fundamental in geometric modeling, where planar deformations and surface parameterizations are two... 
quasi-conformal | triangular meshes | bounded distortion | bijective mapping | conformal distortion | Conformal distortion | Triangular meshes | Bijective mapping | Quasi-conformal | Bounded distortion | COMPUTER SCIENCE, SOFTWARE ENGINEERING | Finite element method | Parametrization | Deformation | Planes | Triangles | Distortion | Mapping
Journal Article
ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2015, Volume 34, Issue 4, pp. 1 - 12
We present a framework for the computation of harmonic and conformal mappings in the plane with mathematical guarantees that the computed mappings are C ∞ ,... 
planar deformation | harmonic mappings | bounded distortion | injective mappings | conformal mappings | Injective mappings | Conformal mappings | Harmonic mappings | Bounded distortion | Planar deformation | COMPUTER SCIENCE, SOFTWARE ENGINEERING | Harmonics | State of the art | Planes | Computation | Interactive | Distortion | Mapping | Boundaries
Journal Article
IEEE Transactions on Medical Imaging, ISSN 0278-0062, 08/2004, Volume 23, Issue 8, pp. 949 - 958
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 01/2019, Volume 116, Issue 3, pp. 732 - 737
We consider Riemann mappings from bounded Lipschitz domains in the plane to a triangle. We show that in this case the Riemann mapping has a linear variational... 
Discrete differential geometry | Finite elements | Conformal maps | CIRCLE PACKINGS | CONVERGENCE | discrete differential geometry | MULTIDISCIPLINARY SCIENCES | conformal maps | finite elements | Research | Mathematical analysis | Conformal mapping | Mathematical research | Geometry, Differential | Domains | Dirichlet problem | Mapping | Convergence | Physical Sciences
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 347, pp. 785 - 802
In this paper, spectral methods based on conformal mappings are proposed to solve the Steklov eigenvalue problem and its related shape optimization problems in... 
Extremal eigenvalue problem | Spectral method | Conformal mapping | Shape optimization | Steklov eigenvalues | MATHEMATICS, APPLIED | OPTIMIZATION
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 10/2018, Volume 77, Issue 1, pp. 597 - 633
Journal Article
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN 0022-247X, 06/2015, Volume 426, Issue 2, pp. 635 - 658
Journal Article
IEEE/ACM Transactions on Networking, ISSN 1063-6692, 02/2018, Volume 26, Issue 1, pp. 175 - 188
Journal Article
1952, 1st ed., International series in pure and applied mathematics, viii, 396
Book
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