A theory of volumetric growth on differentiable manifolds is presented. A balance law for an extensive property, that includes a source term, induces material structure and bodies. Transformation rules for the basic variables that represent growth, under a change of frame in the physical event space, are examined and the material frame, where the volumetric growth has a simple canonical form, i...

We consider the logarithmic and the volumetric barrier functions used in interior point methods. In the case of the logarithmic barrier function, the anaytic center of a level set is the point at which the central path intersects that level set. We prove that this also holds for the volumetric path. For the central path, it is also true that the analytic center of the optimal level set is the l...

The relationship between bone mineral density and bone strength has been investigated as a ubiquitous property of bone. This study utilized 22 isolated vertebral body preparations which had their volumetric bone mineral density quantified and their compressive mechanics measured. Cadaveric baboon ninth thoracic vertebral body samples were investigated which ranged in age from 1 to 30 years and ...

In this paper, we articulate a novel meshless computational paradigm for the effective modeling, accurate physical simulation, and rapid visualization of solid objects. The uniqueness of our approach is that both the interior and the boundary of our new volumetric representation are point-based, generalizing the powerful and popular method of point-sampled surfaces. We also build the point-base...

In this paper, we articulate a meshless computational paradigm for the effective modeling, accurate physical simulation, and real-time animation of point-sampled solid objects. Both the interior and the boundary geometry of our volumetric object representation only consist of points, further extending the powerful and popular method of point-sampled surfaces to the volumetric setting. We build ...

The paper focuses on the prediction of volumetric density property knitting fabrics using mathematical modeling. Based graphical analysis obtained models, results raw material properties for futer knitted fabric values alternative indicators are presented.

We investigated a lab-based hyperspectral imaging system's response from pure (single) and mixed (two) algal cultures containing known algae types and volumetric combinations to characterize the system's performance. The spectral response to volumetric changes in single and combinations of algal mixtures with known ratios were tested. Constrained linear spectral unmixing was applied to extract ...