A Batalin-Vilkovisky formalism is most general framework to construct consistent quantum field theories. Its mathematical structure is called a BatalinVilkovisky structure. First we explain rather mathematical setting of a BatalinVilkovisky formalism. Next, we consider deformation theory of a BatalinVilkovisky structure. Especially, we consider deformation of topological sigma models in any dim...

This thesis explores applications of vector field processing to shape deformations. We present a novel method to construct divergence-free vector fields which are used to deform shapes by vector field integration (Chapter 2). The resulting deformation is volume-preserving and no self-intersections occur. We add more controllability to this approach by introducing implicit boundaries (Chapter 3)...

In present-day medical practice it is often necessary to nonrigidly align image data. Current registration algorithms do not generally take the characteristics of tissue into account. Consequently, rigid tissue, such as bone, can be deformed elastically, growth of tumours may be concealed, and contrast-enhanced structures may be reduced in volume. We propose a method to locally adapt the deform...

geometrically nonlinear governing equations for a plate with linear viscoelastic material are derived. the material model is of boltzmann superposi¬tion principle type. a third-order displacement field is used to model the shear deformation effects. for the solution of the nonlinear governing equations the dynamic relaxation (dr) iterative method together with the finite difference discretizati...

Methods for measuring deformation and motion of the human heart in-vivo are crucial in the assessment of cardiac function. Applications ranging from basic physiological research, through early detection of disease to follow-up studies, all benefit from improved methods of measuring the dynamics of the heart. This thesis presents new methods for acquisition, reconstruction and visualization of c...

volcanoes and their eruption indicate dynamic process of the inside of ground, which are often located along the boundaries of tectonic plates. study of movements and surface deformation of the volcano is essential because surface deformation reflects changes in the subsurface. in the studies of crustal deformation, volcanic models provide valuable insights of the features of volcanoes and thei...

This paper presents a method for effectively modeling the outer surfaces of inlay/onlay prostheses restoring teeth that are partially destroyed. We exploit 3D mesh deformation techniques: direct manipulation free-form deformation (DMFFD) [9] and multiple wires deformation (MWD) [10] with three kinds of information: standard teeth models, scanned mesh data from the plaster cast of a patient's to...

an earthquake with the magnitude of 5.9 mw occurred in qeshm island and hormozgan province in november 27th 2005. 3d co-seismic deformation field caused by the earthquake are determined based on the ascending and descending interferograms and azimuth offsets. the peak to peak estimated displacement is about 10 cm in west, 69 cm in north and 22 cm in vertical directions. we apply strain analysis...

Geodesists are, for the most part, a patient and hardworking lot. A day spent hiking to a distant peak, hours spent waiting for clouds to clear a lineof-sight between observation points, weeks spent moving methodically along a level line – such is the normal pulse of the geodetic profession. The fruits of such labors are all the more precious because they are so scarce. A good day spent with an...

Differential Interferometric SAR (DInSAR) time-series techniques can be used to derive surface displacement rates with accuracies of 1 mm/year, by measuring the one-dimensional distance change between a satellite and the surface over time. However, the slanted direction of the measurements complicates interpretation of the signal, especially in regions that are subject to multiple deformation p...