In [19] we specified robot grippers that can orient and grasp parts with an arrangement of trapezoidal jaw modules. Since jaw modules may be imprecisely machined, we define a parametric tolerance class such that part alignment is guaranteed for all jaw geometry in the class. This tolerance class is derived based on analysis of toppling, motion trajectory, and form-closure. Given maximal jaw geo...

Abstract Digital architecture, as a proceeding architectural style, has caused fundamental evolutions in architectural design and building appearance via applying complex geometries and topologies. Computers and digital tools have truly altered the design process and architectural conception facilitating production of new eye catching forms. Avant-garde architectural forms have emerged from the...

The complex three-dimensional (3D) geometry of the native tricuspid aortic valve (AV) is represented by select parametric curves allowing for a general construction and representation of the 3D-AV structure including the cusps, commissures and sinuses. The proposed general mathematical description is performed by using three independent parametric curves, two for the cusp and one for the sinuse...

We consider the problem of computing topology and describing geometry a parametric curve in R n . present an algorithm, PTOPO , that constructs abstract graph is isotopic to embedding space. Our method exploits benefits representation does not resort implicitization. Most importantly, we perform all computations parameter space implicit When parametrization involves polynomials degree at most d...