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The Geometry of Reflectance Symmetries [PDF]

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011
Different materials reflect light in different ways, and this reflectance interacts with shape, lighting, and viewpoint to determine an object's image. Common materials exhibit diverse reflectance effects, and this is a significant source of difficulty for image analysis. One strategy for dealing with this diversity is to build computational tools that
Tan, Ping, Quan, Long, Zickler, Todd
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Localization of the Galilean symmetry and dynamical realization of Newton–Cartan geometry

, 2014
Newtonian gravity was formulated as a geometrodynamic theory as far back as in 1930s by Elie Cartan, in what is named aptly as Newton–Cartan space time.
R. Banerjee, A. Mitra, P. Mukherjee
semanticscholar   +1 more source

Impacts of Geometry, Symmetry, and Morphology of Nanocast Co3O4 on Its Catalytic Activity for Water Oxidation

, 2014
Herein, we report a systematic study on the synthesis of ordered mesoporous Co3O4 nanocast from cubically (KIT-6) and hexagonally (SBA-15) ordered mesoporous silica hard templates.
Xiaohui Deng, W. Schmidt, H. Tüysüz
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The geometry of broken symmetries

Il Nuovo Cimento B Series 10, 1970
A consideration of the fundamental requirements of relativistic invariance for the global observables of relativistic quantum systems leads to the postulate that these observables should be treated as geometric objects on the manifold of spacelike hyperplanes in Minkowski space.
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A recipe for geometry optimization of diradicalar singlet states from broken-symmetry calculations.

Journal of Physical Chemistry A, 2012
The equilibrium geometries of the singlet and triplet states of diradicals may be somewhat different, which may have an influence on their magnetic properties. The single-determinantal methods, such as Hartree-Fock or Kohn-Sham density functional theory,
J. Malrieu, G. Trinquier
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Geometry and symmetry of multilattices

International Journal of Plasticity, 1998
Abstract We extend to multilattices some of Ericksen's ideas about invariance of continuum constitutive equations for a solid that can be regarded as a simple crystalline lattice from the molecular point of view. In particular we analyze properties of lattice groups of multilattices and of their fixed sets, and prove that a natural classification of ...
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Differential geometry of singular spaces and reduction of symmetry

, 2013
Preface 1. Introduction Part I. Differential Geometry of Singular Spaces: 2. Differential structures 3. Derivations 4. Stratified spaces 5. Differential forms Part II. Reduction of Symmetries: 6. Symplectic reduction 7.
J. Sniatycki
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Exploiting Symmetry Properties of the Discretizable molecular Distance Geometry Problem

J. Bioinform. Comput. Biol., 2012
The Discretizable Molecular Distance Geometry Problem (DMDGP) involves a subset of instances of the distance geometry problem for which some assumptions allowing for discretization are satisfied.
A. Mucherino, C. Lavor, Leo Liberti
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Mirror symmetry and algebraic geometry

, 1999
Introduction The quintic threefold Toric geometry Mirror symmetry constructions Hodge theory and Yukawa couplings Moduli spaces Gromov-Witten invariants Quantum cohomology Localization Quantum differential equations The mirror theorem Conclusion Singular
David A. Cox, S. Katz
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Role of Symmetry, Geometry, and Termination Chemistry on Misfit Dislocation Patterns at Semicoherent Heterointerfaces

, 2020
G. Pilania, P. Dholabhai, B. Uberuaga
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