Using fMRI we investigated the neural basis of audio-visual processing of speech and non-speech stimuli using physically similar auditory stimuli (speech and sinusoidal tones) and visual stimuli (animated circles and ellipses). Relative to uni-modal stimuli, the different multi-modal stimuli showed increased activation in largely non-overlapping areas. Ellipse-Speech, which most resembles natur...

We prove that there exists a unique ellipse of minimal eccentricity, EI , inscribed in a parallelogram, Ð. We also prove that the smallest nonnegative angle between equal conjugate diameters of EI equals the smallest nonnegative angle between the diagonals of Ð. We also prove that if EM is the unique ellipse inscribed in a rectangle, R, which is tangent at the midpoints of the sides of R, then ...

If T : C∪{∞} → C∪{∞} is a Möbius transformation of the extended complex plane, it is well-known that the image under T of a line or circle is another line or circle. It seems natural to consider the image T (E) of a non-circular ellipse E ⊆ C, although as shown in Figure 1, such a curve is not always an ellipse. For the sake of convenience, we will call a curve C a “möte,” for “Möbius Transform...

-A method is presented to solve for the three-dimensional (3D) object position and orientation from single two-dimensional (2D) images based on a systematic hierarchy of features: primitive features, generalized features, and compound structures. A virtual viewpoint analysis shows that a featurecentered coordinate system allows us to drastically reduce the mathematical complexity of the inverse...

We present a new class of continuously defined parametric snakes using a special kind of exponential splines as basis functions. We have enforced our bases to have the shortestpossible support subject to some design constraints to maximize efficiency. While the resulting snakes are versatile enough to provide a good approximation of any closed curve in the plane, their most important feature is...

The absolute cross-sectional area of a coronary stenosis measured by quantitative coronary angiography correlates well with its hemodynamic significance. We evaluated a combined approach using edge detection applied to the normal segment and videodensitometry applied to the stenosis to determine the absolute cross-sectional area of the stenosis (videodensity method). The results were then compa...

In this paper, we propose an unbiased minimum variance es-timator to estimate the parameters of an ellipse. The objective of the optimization is to compute a minimum variance estimator. The experimental results show the dramatic improvement over existed weighted least sum of squares approach especially when the ellipse is occluded.

Two methods for approximating the normal distance to an ellipse using a) its orthogonal hyperbolae, and b) Stirling’s oval are described. Analysis with a set of quantitative set of measures shows that the former provides an accurate approximation with little irregularities or biases. Its suitability is evaluated by comparing several approximations as error of fit functions and applying them to ...

We compare several On Surface Radiation Boundary Conditions in two dimensions, for solving the Helmholtz equation exterior to an ellipse. We also introduce a new boundary condition for an ellipse based on amodal expansion inMathieu functions. We compare the OSRC to a finite difference method. © 2009 Elsevier B.V. All rights reserved.