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Výsledek výzkumu

Simulation of random set models for unions of discs and the use of power tessellations

The power tessellation turns out to be particularly useful in connection to a flexible class of random set models specified by an underlying process of interacting discs. We discuss how to simulate these models and calculate various...

BA - Obecná matematika

  • 2009
  • D
Výsledek výzkumu

Power tessellation as a tool for estimating parameters in a model of random set

of the power tesselation make the computations faster.

BA - Obecná matematika

  • 2010
  • Jx
Výsledek výzkumu

3D reconstruction of grains in polycrystalline materials using a tessellation model with curved grain boundaries

A compact and tractable representation of the grain structure of a material is an extremely valuable tool when carrying out an empirical analysis of the material’s microstructure. Tessellations have proven to be very good choices for such re...

BM - Fyzika pevných látek a magnetismus

  • 2016
  • Jx
  • Odkaz
Výsledek výzkumu

Random tessellations marked with crystallographic orientations

We consider a random marked tessellation in which the marks are crystal lattice orientations. A natural task is to construct a statistical test to decide whether the orientations are independently assigned to the cells of the underlying ...

Statistics and probability

  • 2020
  • Jimp
  • Odkaz
Výsledek výzkumu

Spatial and plannar tessellations: Classifications, database and applications.

Report on the Internet database and classification procedures, spatial tessellations, planar tessellations, w-s diagram.

BA - Obecná matematika

  • 2003
  • Jx
Výsledek výzkumu

Classification and computer simulation of 2D tessellations

Any tessellation is represented by a point in the Cartesian coordinate system with the axes Ep (the mean cell perimeter) and CV a (the coefficient of cell area variation). Images of tessellations and pCV a diagrams for selec...

BM - Fyzika pevných látek a magnetismus

  • 2007
  • Jx
Výsledek výzkumu

Classification and computer simulation of 2D tessellations

Any tessellation is represented by a point in the Cartesian coordinate system with the axes Ep (the mean cell perimeter) and CV a (the coefficient of cell area variation). Images of tessellations and pCV a diagrams for selec...

BM - Fyzika pevných látek a magnetismus

  • 2007
  • D
Výsledek výzkumu

History of pentagonal tessellations

It is known that each triangle and each quadrilateral can tessellate the plane. Which other convex polygons also tessellate and how many different convex pentagons can be used to create monohedral tessellations are discusse...

BA - Obecná matematika

  • 2009
  • D
Výsledek výzkumu

Power diagrams and interaction processes for unions of discs

The paper concerns theoretical results for a model of random set given by an union of interacting discs. The model is described by a density with respect to a Boolean model and the density depends on geometrical characteristics of the union. For simu...

BA - Obecná matematika

  • 2008
  • Jx
Výsledek výzkumu

Spatial and Planar Tesselations: Classsification, database and applications

Classification of spatial and planar tessellations generated by various point processesis proposed and discussed. The database of computer simulated tessellations accessible by Internet is described and its applications are shortly ...

JJ - Ostatní materiály

  • 2003
  • D
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