Symbolic computation of NURBS plays an important role in many areas of NURBSbased geometric computation and design. However, any nontrivial symbolic computation, especially when rational B-splines are involved, would typically result in B-splines with high degrees. In this paper we develop degree reduction strategies for NURBS symbolic computation on curves. The specific topics we consider incl...

kohgilouyeh and boyrahmad mountainous region has been played an important role in iranian archaeology especially where the formation of nomadic communities is discussed. through history different nomads have settled the region due to its moderate climate and fertile pasturelands. archaeological studies having recently been conducted in this region have shown variant settlement sites which have ...

In this paper we propose a new and integrated approach to solve planning problems with both symbolic and geometric aspects. Typical concerned domains are intricate manipulation and task planning problems involving multiple robots in three dimensional worlds. The approach involves a task planner that guides a probabilistic roadmap method used to capture the topology of the free space in various ...

a collection of 100 pieces of painted potteries related to the time period from the fourth to the first millenniums b.c. has been studied in this research. these valuable pieces have been obtained through the excavation of tappegiyan and godin tappe, located in south west of iran. this region including zagros heights and its downhill places have fertile soil, plenty of water sources and are pro...

Planar geometric curve evolution equations are the basis for many image processing and computer vision algorithms. In order to extend the use of these algorithms to images painted on manifolds it is necessary to devise numerical schemes for the implementation of the geodesic generalizations of these equations. We present efficient numerical schemes for the implementation of the classical geodes...

This paper introduces a novel technique to create digital potteries using certain simple-yet-efficient techniques of digital geometry. Given a digital generatrix, the proposed wheel-throwing procedure works with a few primitive integer computations only, wherein lies its strength and novelty. The created digital surface is digitally connected and irreducible when the generatrix is an irreducibl...