The expedient design of precision components in aerospace and other high-tech industries requires simulations of physical phenomena often described by partial differential equations (PDEs) without exact solutions. Modern design problems require simulations with a level of resolution difficult to achieve in reasonable amounts of time—even in effectively parallelized solvers. Though the scale of ...

Swept source/Fourier domain OCT is demonstrated for in vivo imaging of the rodent eye. Using commercial swept laser technology, we developed a prototype OCT imaging system for small animal ocular imaging operating in the 1050 nm wavelength range at an axial scan rate of 100 kHz with ~6 µm axial resolution. The high imaging speed enables volumetric imaging with high axial scan densities, measuri...

We establish the unexpected equality of the optimal volume density of total flux of a linear vector field x 7−→ Mx and the least volume fraction that can be swept out by submacroscopic switches, separations, and interpenetrations associated with the purely submacroscopic structured deformation (i, I +M). This equality is established first by identifying a dense set S of N×N matrices M for which...

Abstract Shock/turbulent-boundary-layer interactions (STBLIs) are ubiquitous in high-speed flight and propulsion applications. Experimental computational investigations of swept, three-dimensional (3-D) interactions, which exhibit quasi-conical mean-flow symmetry the limit infinite span, have demonstrated key differences unsteadiness from their analogous, two-dimensional (2-D), spanwise-homogen...

The swept volume of a moving solid is a powerful computational and visualization concept. It provides an excellent aid for path and accessibility planning in robotics and for simulating various manufacturing operations. It has proven difficult to evaluate the boundary of the volume swept by a solid bounded by trimmed parametric surfaces undergoing an arbitrary analytic motion. Hence prior solut...

We present a fast algorithm for continuous collision detection between a moving avatar and its surrounding virtual environment. We model the avatar as an articulated body using line-skeletons with constant offsets and the virtual environment as a collection of polygonized objects. Given the position and orientation of the avatar at discrete time steps, we use an arbitrary in-between motion to i...

In this paper we present some concepts for sound and fast footstep planning. The soundness is achieved with a two-stage trajectory generation process that uses a smoothing homotopy. The fastness is achieved with swept volume approximations precomputed offline.

PURPOSE To study the prevalence and 3-dimensional (3-D) tomographic features of focal choroidal excavations in eyes with central serous chorioretinopathy (CSC) using swept-source optical coherence tomography (OCT). DESIGN Prospective, cross-sectional study. METHODS We examined 116 consecutive eyes with CSC with a prototype 3-D swept-source OCT. 3-D images of the shape of the macular area, c...

PURPOSE To demonstrate anatomic and physiologic changes in the human choroid following systemic sildenafil citrate (Viagra®) using enhanced depth imaging spectral domain-optical coherence tomography (EDI-OCT) and swept-scan high-frequency digital ultrasound. METHODS Seven healthy male subjects (mean age 32.7 years) were evaluated at baseline and 2 hr after ingesting 50 mg of sildenafil. Swept...

When we refer to sweptsource optical coherence tomography (SS-OCT), “swept source” refers to the type of laser incorporated into the device. Instead of the superluminescent diode laser typical of conventional spectral domain OCT (SD-OCT), SS-OCT uses a short-cavity swept laser. Although the swept-source laser has a wavelength centered at approximately 1 μm, the laser actually changes, because i...