We use a function field version of the Hardy-Littlewood circle method to study locus free rational curves on an arbitrary smooth projective hypersurface sufficiently low degree. On one hand this allows us bound dimension singular moduli space such hypersurfaces and, other hand, it sheds light Peyre's reformulation Batyrev-Manin conjecture in terms slopes with respect tangent bundle.

In this paper, we discuss the problem of recovering a star-shaped contour with the assumption that the contour coordinates can be decomposed into damped sinusoids. We propose a signal generation method derived from the array processing paradigm, which yields the center and radius of a circle fitting the contour. Starting from an initialization circle, we propose to estimate the oscillations of ...

This paper presents a method for the detection of multiple concentric circles which is based on the Hough Transform (HT). In order to reduce time and memory space the concentric circle detection with the HT is separated in two stages, one for the center detection and another for the radius determination. A new HT algorithm is proposed for the center detection stage which is simple, fast and rob...

This study aimed to present the 'dot-in-circle' sign, which indicates the typical magnetic resonance imaging (MRI) and ultrasonographic (USG) findings for mycetoma involving soft tissue and bone. A total of 8 cases with histopathological proof of mycetoma affecting the musculoskeletal system, and that were examined via MRI and/or coexistent diagnostic ultrasonography between 2004 and 2013 in So...

We present a novel method for detecting circles on digital images. This transform is called the circlet transform and can be seen as an extension of classical 1D wavelets to 2D; each basic element is a circle convolved by a 1D oscillating function. In comparison with other circle-detector methods, mainly the Hough transform, the circlet transform takes into account the finite frequency aspect o...

Most selective universities in the United States, and the entire higher education establishment at One Dupont Circle in Washington, D.C., have asserted that universities must have, and do have, the right to use racial preferences in their admissions policies. The assertion of this right is based on the diversity rationale that U.S. Supreme Court Justice Lewis F. Powell articulated in his opinio...

Accurately detection of retinal landmarks, like optic disc, is an important step in the computer aided diagnosis frameworks. This paper presents an efficient method for automatic detection of the optic disc’s center and estimating its boundary. The center and initial diameter of optic disc are estimated by employing an ANN classifier. The ANN classifier employs visual features of vessels and th...

This paper is concerned with the development of a customized circle packing algorithm for a manufacturer of sprockets for the motor cycle industry. Practical constraints mean that the problem differs somewhat from those tackled elsewhere in the literature. In particular, the layouts need to conform to a given structure. This is achieved by using a local search algorithm with an appropriate star...