This paper tackles the problem of the computation of a planar polygonal curve from a digital planar curve, such that the digital data can be exactly retrieved from the polygonal curve. The proposed transformation also provides an analytical modelling of a digital plane segment as a discrete polygon composed of a face, edges and vertices. A dual space representation of lines and planes is used t...

In many genomic studies, one works with genome-positiondependent data, e.g., ChIP-chip or ChIP-Seq scores. Using conventional tools, it can be difficult to get a good feel for the data, especially the distribution of features. This article argues that the socalled Hilbert-curve visualisation can complement genome browsers and help to get further insights into the structure of one’s data. This i...

in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.

Ruled surface is widely used in engineering design such as parting surface design of injection mold and checking surface design of checking fixture, which are usually generated by offsetting 3D curves. However, in 3D curve offset, there often exist break/interaction/overlapping problems which can't be solved by current CAD software automatically. This paper is targeted at developing a 3D curve ...

Background: Fetal male gender may affect the progression of labor and could be a risk factor for labor arrest. This study was conducted to evaluate the effect of fetus gender on labor curve.    Methods: In this cohort study, 1550 singleton term pregnant women in labor phase (either spontaneous or by induction) were enrolled. Results of regular cervical examination, dilation, length o...