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We prove that the dimension of trivariate tensor-product spline space of tri-degree (m,m,m) with maximal order of smoothness over a threedimensional domain coincides with the number of tensor-product B-spline basis functions acting effectively on the domain considered. A domain is required to belong to a certain class. This enables us to show that, for a(More)
In this paper we propose a strategy for generating consistent hierarchical T–meshes which allow local refinement and offer a way to obtain spline basis functions with highest order smoothness incrementally. We describe the required ordering of line–segments during refinement and the construction of spline basis functions. We give our strategy for generating(More)
We present a new method of approximating the intersection curves of two parametric surfaces. Our approximation satisfies G2 continuity conditions, and is located within a prescribed distance from the exact intersection curve. First we identify the topology of the pre-image of the intersection in the domain of surface using extended [Grandine TA, Klein FW. A(More)
In this paper, we discuss the problem of instability in the dimension of a spline space over a T-mesh. For bivariate spline spaces S (5, 5, 3, 3) and S (4, 4, 2, 2), the instability in the dimension is shown over certain types of T-meshes. This result could be considered as an attempt to answer the question of how large the polynomial degree (m,m) should be(More)
The roles of limbal epithelial stem cells (LESCs) are widely recognized, but for these cells to be utilized in basic research and potential clinical applications, researchers must be able to efficiently isolate them and subsequently maintain their stemness in vitro. We aimed to develop a biomimetic environment for LESCs involving cells from their in vivo(More)
The teach pendant is a hand-held robot control terminal that provides a convenient means to move the robot, teach locations, and run robot programs. Nowadays, almost teaching pendant is connected with a robot controller using cable. The cable connection and the size of teaching pendant are not problems because a robot controller is separated with robot.(More)
There are few studies regarding the effects of mechanical stimulation on cell migration although biochemical factors have been widely studied. We have investigated the effects of intermittent hydrostatic pressure (IHP) on mesenchymal stem cell migration with or without neighboring endothelial cells (EC). IHP promoted MSCs migration and the neighboring ECs(More)