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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20260409T031828Z
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\, ISTA
ORGANIZER:hwagner@ist.ac.at
SUMMARY:Ranita Biswas: GeomTop Seminar: &quot\;Relaxed Diophantine Equation
 s for Geometric Primitives in Integer Space&quot\;
URL:https://talks-calendar.ista.ac.at/events/1871
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