My research interests are in the areas of computational geometry and
mesh generation. I have been working on quality-quaranteed meshing, in
particular quad-meshing; various issues related to hierarchical
simplicial meshes, including pointerless representations, efficient
neighbor-finding; different subdivision techniques and quality
guarantees associated with them and level-of-detail modeling. I have also
worked on design and implementation of geometric data
structures and algorithms with applications to computer graphics, in
particular, efficient realistic rendering.
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F. Betul Atalay, Sorelle A. Friedler, and
Dianna Xu
Convex Hull for Probabilistic Points
In Proceedings of the 29th SIBGRAPI Conference on Graphics, Patterns and Images (SIBGRAPI’16), 2016, São José dos Campos, SP, Brazil.
[PDF]
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F. Betul Atalay, Sorelle A. Friedler, and
Dianna Xu
Probabilistic Kinetic Data Structures
In Abstracts of 23rd Fall Workshop on Computational
Geometry(FWCG 2013), New York City, NY, 2013.
[PDF]
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F. Betul Atalay, Suneeta Ramaswami, Dianna Xu
Quadrilateral Meshes with Provable Angle Bounds,
Engineering with Computers, 28(1), pages 31-56, 2012.
[PDF]
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Scott Hine, F. Betul Atalay, Dianna
Xu, and Suneeta Ramaswami
Quadrilateral Meshes with Bounded Minimum Angle,
Proc. 25th ACM Symp. of Computational
Geometry, 2009
(SoCG 2009), Arhus, Denmark.
[PDF]
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F. Betul Atalay, Suneeta Ramaswami and Dianna Xu,
Quadrilateral Meshes with Bounded Minimum Angle,
In Proc. of International Meshing Roundtable 2008 (IMR
2008), 73-91. Pittsburg, PA.
[PDF]
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F. Betul Atalay and David M. Mount,
The Cost of Compatible Refinement of Simplex Decomposition Trees,
Proc. International Meshing Roundtable 2006 (IMR 2006), 57-69.
Birmingham, AL, 2006.
[PDF]
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F. Betul Atalay and David M. Mount,
Pointerless Implementation of Hierarchical Simplicial Meshes and Efficient Neighbor Finding in Arbitrary Dimensions,
International Journal of Computational Geometry and
Applications (IJCGA), 17 (6), 595-631. December 2007.
[PDF]
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F. Betul Atalay and David M. Mount,
Pointerless Implementation of Hierarchical Simplicial Meshes and Efficient Neighbor Finding in Arbitrary Dimensions,
Proc. International Meshing Roundtable 2004 (IMR 2004),
Williamsburg, VA, 2004.
[PDF]
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Ray-interpolant Tree (RI-tree) and Efficient Ray-tracing:
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F. Betul Atalay and David M. Mount,
Interpolation Over Light Fields with Applications in Computer Graphics,
Proc. of ALENEX 2003, R. Ladner, Editor, SIAM, 2003, 56-68.
F. Betul Atalay and David M. Mount,
[PDF]
[Full version]
(Also in DIMACS Workshop on Computational Geometry)
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F. Betul Atalay and David M. Mount,
Ray Interpolants for Fast Ray-tracing reflections and refractions,
Journal of WSCG , 10(3), 2002, 1-8.
[PDF]
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F. Betul Atalay and David M. Mount,
Using Hierarchical Simplicial Meshes to Render Atmospheric Effects.
[PDF]
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