2. MAIN RESULTS In this paper, subdivision methods for rectangular Bézier A rectangular Bézier surface of degree n 3 m can be surfaces are generalized to subdivide a rectangular Bézier surface patch of degree n 3 m into two rectangular Bézier surrepresented by face patches of degree n 3 (m 1 n), while the parameter domain of the Bézier surface is decomposed into two trapezoids. As an applicatio...

Implicit surface reconstruction has been a challenging work for decades. In this paper, motivated by the concept of classic physical polar field model and off-set points strategy, we present a new approach, called Field Fitting. In this approach, we express a 3D surface as an equipotential surface of scalar polar field which is produced by a number of paired field generating primitives, then a ...

Background: Gestational diabetes mellitus (GDM) is one of the most common metabolic disorders in pregnancy, which is associated with serious complications. In the event of early diagnosis of this disease, some of the maternal and fetal complications can be prevented. The aim of this study was to early predict gestational diabetes mellitus by two statistical models including artificial neural ne...

A method has been presented for finding the solution surface of the NPDE: c u   , bounded by a general space curve. The method is based on the geometric characteristics of the surface, and is called the “Cone-Slot Method”. It has been shown that such a surface can be obtained by movement of a cone inside the slot formed by the boundary space curve. An algorithm has been suggested on the basis...

evaporation from the soil surface has an important role in the water balance model in nature, so that the major part of rain fall and irrigation water in arid and semi-arid regions is lost via evaporation from the soil surface. in such areas, there are some regions with high water table and because of evaporation from the soil surface, salts accumulation also occur in the soil surface. so evapo...

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 ...