Computational Geometry for Optimal Workpiece Orientation

Parleda: a Library for Parallel Processing in Computational Geometry Applications

ParLeda is a software library that provides the basic primitives needed for parallel implementation of computational geometry applications. It can also be used in implementing a parallel application that uses geometric data structures. The parallel model that we use is based on a new heterogeneous parallel model named HBSP, which is based on BSP and is introduced here. ParLeda uses two main lib...

Deformation Analysis of Fixturing for Workpiece with Complex Geometry

Finite element (FE) analysis is very useful in the early stage of a fixture development in order to reduce or eliminate design problems. Accurate prediction of fixture-workpiece deformation requires an appropriate representation of the contact relationship between fixture elements and workpieces. The paper addresses the special features of the deformation analysis between complicatedly shaped c...

Workpiece Orientation Correction with a Robot Arm Using Visual Information

I f r o b o t s had the c a p a b i l i t y o f s u p p l y i n g ma­ c h i n e s w i t h w o r k p i e c e s w h i c h a r e n o t p r e o r i e n t e d , t h e r e w o u l d b e a s u b s t a n t i a l i n c r e a s e i n t h e num­ b e r o f r o b o t s used i n i n d u s t r y . A s i g n i f i c a n t c o n t r i b u t i o n to t h i s deve lopmen t w o u l d be a method w h i c h y i e l ...

Computational Algebraic Geometry and Switching Surfaces in Optimal Control

A number of problems in control can be reduced to nding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful new methodology for doing symbolic manipulations with polynomial data has been developed and tested, namely the use of Grr obner bases. In this note, we apply the Grr obner basis...

Computational Geometry for Interrogative Visualization