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- F. Betul Atalay, David M. Mount
- IMR
- 2006

A hierarchical simplicial mesh is a recursive decomposition of space into cells that are simplices. Such a mesh is compatible if pairs of neighboring cells meet along a single common face.â€¦ (More)

We consider the design of a data structure for answering interpolation queries. In this problem, we assume that we can sample points from real multidimensional vector field, in which each sample isâ€¦ (More)

- Deniz Cemgil Arikan, Ayhan CoÅŸkun, Ali Can Ozer, Metin KilinÃ§, F. Betul Atalay, Tugba Atilan Arikan
- Biological Trace Element Research
- 2011

It has been shown that the trace elements and lipids play role in the growth, development and maintenance of bones. We aimed to investigate serum selenium (Se), zinc (Zn), copper (Cu) and lipidâ€¦ (More)

- BÃ¼lent Altunoluk, Erkan Efe, ErgÃ¼l Belge KurutaÅŸ, Ahmet Bora Gul, F. Betul Atalay, M. Tolga Eren
- Urologia internationalis
- 2012

OBJECTIVE
To compare reactive oxygen species (ROS) and antioxidants in internal spermatic vein tissue of men with varicocele and a control group with inguinal hernia. Also to compare the levels ofâ€¦ (More)

- Scott Hine, F. Betul Atalay, Dianna Xu, Suneeta Ramaswami
- Symposium on Computational Geometry
- 2008

We present an algorithm that constructs a strictly convex quadrilateral mesh for a simple polygonal region in which no newly created angle is smaller than D(18.43) (=arctan(1/3)). This is the firstâ€¦ (More)

- F. Betul Atalay, David M. Mount
- WSCG
- 2002

To render an object by ray tracing, one or more rays are shot from the viewpoint through every pixel of the image plane. For reflective and refractive objects, especially for multiple levels ofâ€¦ (More)

- F. Betul Atalay, David M. Mount
- ALENEX
- 2003

We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each directed line isâ€¦ (More)

- F. Betul Atalay, Suneeta Ramaswami, Dianna Xu
- Engineering with Computers
- 2011

In this paper, we present an algorithm that utilizes a quadtree data structure to construct a quadrilateral mesh for a simple polygonal region in which no newly created angle is smaller thanâ€¦ (More)

To render an object from multiple viewpoints by ray tracing, each frame is computed by tracing one or more rays from the viewpoint through every pixel of the image plane. For reflective andâ€¦ (More)

- F. Betul Atalay, Sorelle A. Friedler, Dianna Xu
- 2016 29th SIBGRAPI Conference on Graphicsâ€¦
- 2016

We analyze the correctness of an O(n log n) time divide-and-conquer algorithm for the convex hull problem when each input point is a location determined by a normal distribution. We show that theâ€¦ (More)