The general setting for Shape Analysis
نویسنده
چکیده
In shape analysis, the concept of shape spaces has always been vague, requiring a caseby-case approach for every new type of shape. In this paper, we give a general definition for an abstract space of shapes embedded in a given manifold M. This notion allows to unify the shape spaces studied so far in the literature under a single banner, and offers a rigorous framework for several possible new shape spaces. The setting for shape analysis then arises naturally as a geodesic problem for a certain sub-Riemannian structure on a shape space. We investigate the Hamiltonian geodesic flow of this new structure, and study several applications of equivariant mappings between shape spaces.
منابع مشابه
Analysis of Axisymmetric Extrusion Process through Dies of any Shape with General Shear Boundaries
In this paper, a generalized expression for the flow field in axisymmetric extrusion process is suggested to be valid for any dies and the boundary shapes of the plastic deformation zone. The general power terms are derived and the extrusion force is calculated by applying upper bound technique for a streamlined die shape and exponential functions for shear boundaries. It is shown that assuming...
متن کاملInvestigation of Utilizing a Secant Stiffness Matrix for 2D Nonlinear Shape Optimization and Sensitivity Analysis
In this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. To approach this aim the analytical formulas of secant stiffness matrix are presented. The models were validated and used to perform inve...
متن کاملA model for employer’s decision for recruitment
This paper presents a theoretical and empirical analysis of this decision and how it relates to wage setting and the provision of general training. The theoretical framework is a promotion tournament involving M competing firms with heterogeneous productivities, two-level job hierarchies, and a fixed number of managerial positions. This paper also considers an alternative model based on variati...
متن کاملPatient Flow Analysis in General Hospitals: How Clinical Disciplines Affect Outpatient Wait Times
Background: Overcrowding is an important problem for outpatient services in healthcare facilities. Patient flow analysis (PFA) is a useful method for identifying inefficiencies in and facilitating patient flow. Objective: PFA was used to estimate patient wait time and determine how different clinical disciplines impact wait times in the studied hospital.<...
متن کاملNonlinear Thermo-Mechanical Behaviour Analysis of Activated Composites With Shape Memory Alloy Fibres
General thermo-mechanical behavior of composites reinforced by shape memory alloy fibers is predicted using a three-dimensional analytical micromechanical method to consider the effect of fibers activation. Composite due to the micromechanical method can be exposed to general normal and shear mechanical and thermal loading which cause to activate the shape memory alloy fibers within polymeric m...
متن کامل