The deformation behavior of particles under pressure dominates the mechanical properties of solid dosage forms. In this study, the in situ 3D deformation of two polymorphs (I and II) of clopidogrel bisulfate (CLP) was determined to illustrate pressure distribution profiles within the tablet by the deformation of the crystalline particles for the first time. Synchrotron radiation X-ray computed ...

We discuss BFV deformation quantization (Bordemann et al. in A homological approach to singular reduction in deformation quantization, singularity theory, pp. 443– 461. World Scientific, Hackensack, 2007) in the special case of a linear Hamiltonian torus action. In particular, we show that the Koszul complex on the moment map of an effective linear Hamiltonian torus action is acyclic. We rephra...

This paper aims to propose a new framework for structure-preserving deformation, which is interactive, stable, and easy to use. The deformation is characterized by a nonlinear optimization problem that retains features and structures while allowing user-input external forces. The proposed framework consists of four major steps: feature analysis, ghost construction, energy optimization, and reco...

The ability to map elastic or plastic strain on a microstructural level is critical to understanding and controlling deformation in structural alloys and ceramics. Electron back-scattered diffraction (EBSD) and related techniques, such as electron channeling patterns, have been used with some success to measure the plastic strain around cracks in Fe-3Si single crystals [1], Cu single crystals [...

This is a survey of the relationship between C *-algebraic deformation quan-tization and the tangent groupoid in noncommutative geometry, emphasizing the role of index theory. We first explain how C *-algebraic versions of deformation quantization are related to the bivariant E-theory of Connes and Higson. With this background, we review how Weyl–Moyal quantization may be described using the ta...

This paper presents an active contour tracking algorithm based on the particle filter for a non-rigid object in cluttered scenes. We decompose the non-rigid contour tracking problem into three parts as transition estimation, deformation detection, and shape regulation. We use an affine transform dynamic model and employ the particle filter to estimate the parameters. We generate a probabilistic...

In the paper, we present a framework of speech driven face animation system with expressions. It systematically addresses audio-visual data acquisition, expressive trajectory analysis and audio-visual mapping. Based on this framework, we learn the correlation between neutral facial deformation and expressive facial deformation with Gaussian Mixture Model (GMM). A hierarchical structure is propo...

Let G be a locally Qp-analytic group and K a finite extension of Qp with residue field k. Adapting a strategy of B. Mazur (cf. [Maz89]) we use deformation theory to study the possible liftings of a given smooth G-representation ρ over k to unitary G-Banach space representations over K. The main result proves the existence of a universal deformation space in case ρ admits only scalar endomorphis...