Publisher Summary This chapter presents different algorithms for modeling soft tissue
deformation in the context of surgery simulation. These algorithms make radical …

The numerical modeling of mechanical waves is currently a fundamental tool for the study
and investigation of their propagation in media with heterogeneous physical properties …

The main purpose of the SYRMEP (SYnchrotron Radiation for MEdical Physics) research
team is the investigation and development of innovative techniques for medical imaging. A …

This paper presents a geometric discretization of elasticity when the ambient space is
Euclidean. This theory is built on ideas from algebraic topology, exterior calculus, and the …

In this paper, we explore the numerical approximation of discrete differential operators on
nonuniform grids. The Voronoi cell and the notion of natural neighbors are used to …

The simultaneous use of a pair of complementary discrete formulations for electrostatic
boundary value problems (BVPs) allows to accurately compute electromagnetic quantities …

One of the most important alterations that occur in man and experimental animals during
spaceflight concerns the skeletal system, and entails important bone loss and degradation of …

Skeletal abnormalities reported in humans and laboratory animals after spaceflight, include
cancellous osteopenia, decreased cortical and cancellous bone formation, aberrant matrix …

The theory of elasticity is usually formulated using differential calculus. We will show that it is
possible to give an algebraic or discrete or finite formulation, by starting directly from …

In this study, the problem of finding the complete trajectory of propagation and the limiting
load in plates with internal straight cracks is extended to the non-linear field. In particular …