...................................................................................................................... iii PREFACE .......................................................................................................................... iv ACKNOWLEDGEMENTS .................................................................................................v DEDICATION ................

OBJECTIVE Retreatment of a root canal in the case of infection requires complete removal of previous filling material. This study evaluated the efficacy of 3 techniques in removing laterally compacted Resilon/Epiphany and gutta-percha/AH Plus from straight and curved canals during retreatment. MATERIALS AND METHODS Extracted human teeth (90 maxillary anterior teeth with single,straight root c...

We introduce a local signal decomposition method for the analysis of three-dimensional (3D) diffraction fields involving curved surfaces. We decompose a given field on a two-dimensional curved surface into a sum of properly shifted and modulated Gaussian-shaped elementary signals. Then we write the 3D diffraction field as a sum of Gaussian beams, each of which corresponds to a modulated Gaussia...

The paper presents a solution to calculate intersection between a plane and bi-cubic Bezier curved surface. The paper first constructs bounding box based on the control grid by the characteristics of the Bezier surface, and then makes use of the plane half-space properties to convert the problem that calculates the intersection line between the plane and the parameter curved surface into calcul...

Title of dissertation: LENGTH SPECTRAL RIGIDITY OF NON-POSITIVELY CURVED SURFACES Jeffrey Frazier, Doctor of Philosophy, 2012 Dissertation directed by: Professor William Goldman Department of Mathematics Length spectral rigidity is the question of under what circumstances the geometry of a surface can be determined, up to isotopy, by knowing only the lengths of its closed geodesics. It is known...

Many researchers have successfully designed and built dynamic bipedal walkers with curved feet. The design process for these walkers, however, is typically based on intuition and/or poorly documented, suggesting the opportunity for improvements to be made through more systematic design. The most energy efficient bipeds have curved feet, as studies have shown that replacing point feet with curve...

We show how to extract a contour line (or isosurface) from quadratic elements—specifically from quadratic triangles and tetrahedra. We also devise how to transform the resulting contour line (or surface) into a quartic curve (or surface) based on a curved-triangle (curved-tetrahedron) mapping. A contour in a bivariate quadratic function defined over a triangle in parameter space is a conic sect...

This paper deals with the problem of packing twodimensional objects of quite arbitrary shapes including in particular curved shapes (like ellipses) and assemblies of them. This problem arises in industry for the packaging and transport of bulky objects which are not individually packed into boxes, like car spare parts. There has been considerable work on packing curved objects but, most of the ...

I present a way to visualize the concept of curved spacetime. The result is a curved surface with local coordinate systems (Minkowski Systems) living on it, giving the local directions of space and time. Relative to these systems, special relativity holds. The method can be used to visualize gravitational time dilation, the horizon of black holes, and cosmological models. The idea underlying th...