In this paper, we study a geometric G^2 Hermite interpolation by planar rational cubic Bézier curves. Two data points, two tangent vectors and two signed curvatures interpolated per each rational segment. We give the necessary and the sufficient intrinsic geometric conditions for two C^2 parametric curves to be connected with G2 continuity. Locally, the free parameters w...

introduction 3d reconstruction of an object from its 2d cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. in order to perform 3d reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. mate...

In order to tackle the problem of shape design and shape adjustment of complex surfaces in engineering, continuity conditions between generalized Bézier-like surfaces with multiple shape parameters are studied in this paper. Firstly, the geometric model of the generalized Bézier-like surfaces is built by blending a number of Bézier-like curves with independent shape parameters. Secondly, based ...

Introduction 3D reconstruction of an object from its 2D cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. In order to perform 3D reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. Mate...

Said-Ball curves and surfaces are extensively applied in the realm of geometric modeling. Their appearance is only decided by control points, which produces a great deal inconvenience for shape design sophisticated products. To overcome this defect, we construct novel kind quartic generalized (QGS-Ball, short) surfaces, contain multiple parameters, global local can be easily modified via parame...

In this article, we proposed a novel method for the construction of generalized hybrid trigonometric (GHT-Bézier) developable surfaces to tackle issue modeling and shape designing in engineering. The GHT-Bézier surface is obtained by using duality principle between points planes with curve. With different control parameters their domain, class can be established (such as enveloping surfaces, sp...

purpose: the aim of this study was to test the in vitro sensitivity of lymphocytes of patients with head and neck cancer against gamma irradiation and also to find out if the frequencies of chromosomal aberrations correlate with side effects of radiotherapy. patients and methods : peripheral blood of 101 patients with head and neck cancer was collected before the onset of radiotherapy, cultured...

introduction: an effective vaccine against hcv infection is not available. the non-structural protein 3 (ns3) of the virus as an important immunogenic candidate has been utilized in various modules. nanostructured polymers have been recently used for efficient vaccine and drug delivery. the aim of the current study was the synthesis of rns3-g2 conjugate and preliminary evaluation of its immunog...