A key question in diffusion imaging is how many diffusion-weighted images suffice to provide adequate signal-to-noise ratio (SNR) for studies of fiber integrity. Motion, physiological effects, and scan duration all affect the achievable SNR in real brain images, making theoretical studies and simulations only partially useful. We therefore scanned 50 healthy adults with 105-gradient high-angula...

We construct a mixture of locally linear generative models of a collection of pixel-based images of digits, and use them for recognition. Different models of a given digit are used to capture different styles of writing, and new images are classified by evaluating their log-likelihoods under each model. We use an EM-based algorithm in which the M-step is computationally straightforward principa...

The computation of the geometric transformation between a reference and a target image, known as image registration or alignment, corresponds to the projection of the target image onto the transformation manifold of the reference image (the set of images generated by its geometric transformations). It often takes a nontrivial form such that exact computation of projections on the manifold is di...

Abstract The demulsification and dewatering of the W/O emulsion are widely used in petrochemical industry, oilfield exploitation, resource environmental engineering. However, efficiently treating via traditional single methods. In this study, a new double-field coupling device is proposed, where conical structure double spherical tangential type. numerical model for established, especially, pop...

The computation of the geometric transformation between a reference and a target image, known as image registration or alignment, corresponds to the projection of the target image onto the transformation manifold of the reference image (the set of images generated by its geometric transformations). It often takes a nontrivial form such that exact computation of projections on the manifold is di...

Chess is a deep and well-studied game with a wealth of content and data. Because of the relative simplistic nature of the game states, games themselves are relatively easy to record, and thus there are large databases of games, dating back to Francesco di Castellvi vs Narciso Vinyoles, 1475. The vast majority of published games are between masters and grandmasters, usually recorded by tournamen...

Spherical imaging is a technical approach of collecting scenery by viewing it through a single perspective. A typical realization of spherical imaging is a panoramic mosaic covering a part of the hemisphere. According to a photogrammetric definition, we introduce here, spherical imaging is an exact central projection explicitly determined by its projection center. They are linear images without...

Given a complete nonsingular algebraic variety X and a divisor D with normal crossings, we say that X is log homogeneous with boundary D if the logarithmic tangent bundle T X (− log D) is generated by its global sections. We then show that the Albanese morphism α is a fibration with fibers being spherical (in particular, rational) varieties. It follows that all irreducible components of D are n...