Our approach integrates three mechanisms needed to model and animate deformable objects: controlling mechanisms, geometric surface deformation, and mesh refinement. Most approaches focus either modeling physically correct behavior or alternative representations for deformable models. This results in a set of method specific algorithms that best represents a particular class of deformable object...

Although sound source locations are traditionally expressed in a coordinate system with its origin at the midpoint of the listener's interaural axis, there is little evidence that listeners actually use this coordinate system to judge the relative locations of sounds. In this experiment, location pairs where nearby and distant sound sources appeared to be at the same angle in azimuth were used ...

We apply the proper orthogonal decomposition (POD) to the nonlinear Schrödinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic midpoint rule. A priori error estimates are derived for the POD reduced dynamical system. Numerical results for one and two dimensional NLS equations...

My G4G8 exchange item is a screw-together cube made of two identically shaped nylon parts, one dyed red and one dyed yellow. It can be seen as a cube sliced by the propeller of an airplane flying through it. Formally, it is cube which has been split along a helicoid surface whose axis is aligned with a two-fold axis of the cube, i.e. passing from one edge midpoint to the opposite edge midpoint....

Irregularly and sparsely sampled seismic data that has been shot with a predominant azimuth for long offsets can be completely reconstructed. Our method uses reposting along receiver lines to exact crossline positions, followed by least squares reconstruction in the midpoint-offset domain. This reconstruction scheme has been applied to a 3D marine dataset from the North Sea. Various aspects and...

This paper presents the relationship between the Recursive Arbitrary Topology Splines (RATS) method, derived by the authors, and the Catmull and Clark recursive B-Spline method. Both methods are capable of defining surfaces of any arbitrary topology of control points. They "fill-in" n-sided regions with foursided patches. The Catmull & Clark method is derived from the midpoint subdivision of B-...

We present a new numerical approach for wave induced dynamic fracture. The method is based on discontinuous Galerkin approximation of the first-order hyperbolic system elastic waves and phase-field brittle fracture driven by maximum tension. algorithm staggered in time combines an implicit midpoint rule propagation followed Euler step evolution. At fracture, material degraded, are reflected at ...

We investigate the equilibrium unfolding of Zn-cytochrome c in guanidine hydrochloride by three-pulse photon echo peak shift (3PEPS) spectroscopy. Unexpectedly, the measurements reveal that inhomogeneous broadening of the sample at the midpoint of the denaturation is larger than that of either native or unfolded states. To interpret this finding, we present simulations of the peak shift for bot...

Second proof. Let O be the circumcenter of ABC and let ω be the circle centered at D with radius DB. Let lines AB and AC meet ω at P and Q, respectively. Since ∠PBQ = ∠DQC + ∠BAC = 1 2(∠BDC + ∠DOC) = 90 ◦, we see that PQ is a diameter of ω and hence passes through D. Since ∠ABC = ∠AQP and ∠ACB = ∠APQ, we see that triangles ABC and AQP are similar. If M is the midpoint of BC, noting that D is th...

Second proof. Let O be the circumcenter of ABC and let ω be the circle centered at D with radius DB. Let lines AB and AC meet ω at P and Q, respectively. Since ∠PBQ = ∠BQC+∠BAC = 1 2 (∠BDC + ∠DOC) = 90, we see that PQ is a diameter of ω and hence passes through D. Since ∠ABC = ∠AQP and ∠ACB = ∠APQ, we see that triangles ABC and AQP are similar. If M is the midpoint of BC, noting that D is the m...