The aim of this work is to investigate sweeping surfaces and their local singularities due type-3 Bishop frames in Euclidean 3-space, E3. A surface a that designed from section curve positioned along path, which acts as the vertebral column or spine curve, it has symmetrical characteristics. In work, we have specified examined its geometry singularity. Thereafter, deduced circumstances required...

Synopsis A theoretical study of viscoelastic properties of composites is presented with the aim of identifying structures which give rise to a combination of high stiffness and high loss tangent. Laminates with Voigt and Reuss structure, as well as composite materials attaining the Hashin-Shtrikman bounds on stiffness were evaluated via the correspondence principle. Similarly, viscoelastic prop...

This paper presents an embedding framework for myocardial velocity processing with MRI based on a hollow, semi-spherical template. The relationship between vector bundle and manifold mapping is analysed and three different mapping methods that include tangent mapping, normal mapping, and normal-tangent mapping are assessed for their practical value of myocardial contractility analysis. The prop...

The problem of feature transformation arises in many fields of information processing, including machine learning, data compression, computer vision and geosciences applications. Here we discuss an approach that seeks a hyperspherical coordinate system preserving geodesic distances in the high dimensional hyperspectral data space. A lower dimensional hyperspherical manifold is computed using a ...

We propose a novel trace-based method to extract vessel axes from gray-scale angiograms without preliminary segmentations. Our method traces the axes on an optimization framework with the bounded spherical projection images and the sum of squared difference metric. It does not take alternate steps to search the next axial point and its tangent as in other trace-based algorithms, instead the nov...

Abstract We propose a novel minimal solver for sphere fitting via its 2D central projection, i.e. , special ellipse. The input of the presented algorithm consists contour points detected in camera image. General ellipse problems require five points. However, taking advantage isotropic spherical target, three are enough to define tangent cone parameters sphere. This yields sought parameters. Sim...

Huygens’ principle states that the solution of the wave equation radiated by a bounded source can be represented outside the source region as a superposition of spherical ‘Huygens wavelets’ radiated by secondary point-sources on a surface enclosing the primary source. This was originally proposed as a geometrical explanation of wave propagation, but as such it is conceptually problematic becaus...

From an analysis of tangent spherical drops in straining flow, Baldessari and Leal conclude that the drop-scale internal circulation, driven by the ambient flow, has a negligible influence on the drainage of the thin liquid film between drops under small-deformation conditions [F. Baldessari, L.G. Leal, J. Colloid Interface Sci. 289 (2005) 262]. However, their conclusion is incorrect as explain...

The cornea of the human eye reflects the light from a person’s environment. Modeling corneal reflections from an image of the eye enables a number of applications, including the computation of scene panorama and 3D model, together with the person’s field of view and point of gaze [4]. The obtained environment map enables general applications in vision and graphics, such as face reconstruction, ...