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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20200126T220728Z
UID:59e3891f90abf466878477@ist.ac.at
DTSTART:20190320T123000
DTEND:20190320T134500
DESCRIPTION:Speaker: Ranita Biswas\nAbstract: "Relaxed Diophantine Equation
s for Geometric Primitives in Integer Space"Diophantine equations are poly
nomial in nature\, usually with two or more unknowns\, seeking integer sol
utions. With these equations\, one can define algebraic curves and surface
s and can characterize lattice points on them. Geometric interpretations o
f Diophantine equations are found to enrich "geometry of numbers"\, and br
oadly speaking\, to a great extent\, the upcoming subject of digital geome
try. In this talk\, certain novel theoretical findings will be presented a
long with several open problems. As the second part of the talk\, Ranita w
ill present some of the recent findings done in collaboration with colleag
ues from XLIM Lab\, University of Poitiers. They have proposed a new non-o
rthogonal basis to express the 3D Euclidean space in terms of a regular gr
id\, where every grid point\, each represented by integer 3-coordinates\,
corresponds to rhombic dodecahedron centroid. Rhombic dodecahedron is a sp
ace filling polyhedron which represents the close packing of spheres in 3D
space and the Voronoi structures of the face centered cubic (FCC) lattice
. They have proposed the characterization of 3D digital planes and spheres
with relevant topological features in this new coordinate system.
LOCATION:Mondi Seminar Room 3\, Central Building\, IST Austria
ORGANIZER:hwagner@ist.ac.at
SUMMARY:GeomTop Seminar: "\;Relaxed Diophantine Equations for Geometric
Primitives in Integer Space"\;
URL:https://talks-calendar.app.ist.ac.at/events/1871
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