This paper presents a new approach for precision estimation for algebraic ellipse fitting based on combined least squares method. Our approach is based on coordinate description of the ellipse geometry to determine the error distances of the fitting method. Since it is an effective fitting algorithm the well-known Direct Ellipse Fitting method was selected as an algebraic method for precision e...

Traditionally, static units of analysis such as administrative units are used when studying obesity. However, using these fixed contextual units ignores environmental influences experienced by individuals in areas beyond their residential neighborhood and may render the results unreliable. This problem has been articulated as the uncertain geographic context problem (UGCoP). This study investig...

The urban surface temperature is a complex integrated natural-human geographic phenomena; with the development of geostatistical methods and application multisource data, its research has gradually shifted from single perspective to study that integrates multiple factors such as nature humanity. However, based on context integration natural human mutual constraints each factor, mechanism influe...

In this note we prove that if a convex body in the three dimensional Euclidean space has the pedal property of the ellipse, then it is an ellipsoid of revolution. We also give a family of curves in the plane with exactly one point which behaves, in some sense, like a focus on an ellipse. Finally, we study another property of the ellipse which we name the harmonic property and prove that a conve...

In this paper we proposes a new method t o detect a slanted ellipse using Hough transform with 5 parameters effectively. The procedure is as follows: First, a pair of arcs are detected as a part of the slanted ellipse using a circle detecting Hough transform with 3 parameters; the central point (xc,yc) and the slanted angle 9 can be obtained. Second, the slanted ellipse is transformed into a no...

Ellipse fitting for iris boundary is an important step in eye gaze estimation and iris recognition applications. In most of the proposed algorithms only the edge image is used for ellipse fitting. In these algorithms, the undesired edges may lead to erroneous iris ellipse. In this paper, we propose a novel algorithm to ellipse fitting for iris boundary which uses gray and edge images simultaneo...

MOTIVATION The problem of early-stage protein folding is critical for protein structure prediction. The model presented introduces a common definition of protein structures which may be treated as the possible in silico early-stage form of the polypeptide chain. Limitation of the conformational space to the ellipse path on the Ramachandran map was tested as a possible sub-space to represent the...

We study the local geometry of testing a mean vector within a high-dimensional ellipse against a compound alternative. Given samples of a Gaussian random vector, the goal is to distinguish whether the mean is equal to a known vector within an ellipse, or equal to some other unknown vector in the ellipse. Such ellipse testing problems lie at the heart of several applications, including non-param...

In this paper, a 2 DOF haptic yawing joystick for use as the navigation input device in virtual environments is introduced. The haptic yawing joystick can perform a 360°_range yawing motion and ±100°_range pitching motion. The device can support weights of up to 26N along the x axis and 10N along the y axis with 10kHz of sampling rate. For the haptic yawing joystick, an ellipse navigation algor...