We describe a new geometric representation scheme suitable for finite element mesh generation. The representation is by boundaries (i.e., brep) and relations between boundaries are stored as a directed acyclic graph. The geometry itself is based on NURBS curves and surfaces. The new geometry proposal has been been adopted by the CornellMississippi State joint ITR project. We describe why the ge...

We present a novel variational method for the simultaneous estimation of dense scene flow and structure from stereo sequences. In contrast to existing approaches that rely on a fully calibrated camera setup, we assume that only the intrinsic camera parameters are known. To couple the estimation of motion, structure and geometry, we propose a joint energy functional that integrates spatial and t...

Restoration of normal knee joint function through surgical reconstruction is dependent upon load sharing between the implant and surrounding soft tissue structures. Mobile bearing knee designs offer the advantage of maximum conformal geometry while diminishing constraint forces to fi xation interfaces through plateau mobility. The degree of mobility afforded by these designs in the anterior-pos...

in the past, rock slope stability analysis were performed either graphically or using a hand-held calculator, but nowadays there are variety of slope stability analysis which can be used according to the field condition and potential failure mode. in 2-d analysis, effect of convex and concave walls are neglected, however concave slopes are believed to be more stable than straight walls due to t...

These pages serve two purposes. First, they are notes to accompany the talk Hyperbolic and projective geometry in constraint programming for CAD by Walter Whiteley at the János Bolyai Conference on Hyperbolic Geometry, 8–12 July 2002, in Budapest, Hungary. Second, they sketch results that will be included in a forthcoming paper that will present the equivalence of the first-order rigidity theor...

fracture mapping of late permian-early triassic flat-lying sedimentary rocks in the sydney basin,new south wales, australia, shows that joints developed originally in extension were faulted in subsequentevents. joints with a regional distribution fall into two (early and late) formed groups. group i joints propagatedhorizontally and never interfered with each other. these joints were subsequent...

A three-dimensional finite element model of the joint has been developed. The model has been used to predict the stress field of the laminate in the joint area, assuming homogeneity and linear behavior of the material. The modeled geometry is a T-bolt that joins a coupon of glass fiber–epoxy and a block of steel. The results obtained from the model have been verified experimentally using both e...

We present a set of gradient based orthogonal and nonorthogonal matrix joint diagonalization algorithms. Our approach is to use the geometry of matrix Lie groups to develop continuous-time flows for joint diagonalization and derive their discretized versions. We employ the developed methods to construct a class of Independent Component Analysis (ICA) algorithms based on non-orthogonal joint dia...