Determining constant breadth curve mate of a curve on a surface via Taylor collocation method

Construction of a surface pencil with a common special surface curve

In this study, we introduce a new type of surface curves called $D$-type curve. This curve is defined by the property that the unit Darboux vector $vec{W}_{0} $ of a surface curve $vec{r}(s)$ and unit surface normal $vec{n} $ along the curve $vec{r}(s)$ satisfy the condition $leftlangle vec{n} ,vec{W}_{0} rightrangle =text{constant}$. We point out that a $D$-type curve is a geodesic curve or an...

Curve and surface reconstruction based on the method of evolution

This contribution addresses a problem of surface reconstruction from the point clouds which is applied in many scientific and engineering applications. Our aim is to obtain a visualization of data from 3D scanning and document the real objects digitally. We describe the digital reconstruction problem and the methods of surface reconstruction. We mention several known algorithms for surface reco...

A Method to Convexify Functions via Curve Evolution

introduction of rapid method of water-release curve determining

soil water potential was determined for three soil samples (i.e. 0-30, 30-60 and 60-90 cm depth) by the filter paper method (hamblin, 1981) and also for four non-destructive soil samples (i.e. 0-30, 30-50, 50-75 and 75-90 cm horizon) using pressure plate method.  in filter paper method, the filter paper is placed in hydraulic contact with the soil until an equilibrium state is attained in which...

Registration of a Curve on a Surface Using Differential Properties

This article presents a new method to nd the best spatial registration between a rigid curve and a rigid surface. We show how to locally exploit the knowledge of diierential properties computed on both the curve and the surface to constrain the rigid matching problem. It is in fact possible to write a compatibility equation between a curve point and a surface point, which constrains completely ...