Understanding fish-like locomotion as a result of internal shape changes may result in improved underwater propulsion mechanism. In this article, we study a coupled system of partial differential equations and ordinary differential equations which models the motion of self-propelled deformable bodies (called swimmers) in an potential fluid flow. The deformations being prescribed, we apply the l...

In this paper we study geometries on the manifold of curves. We define a manifold M where objects c ∈ M are curves, which we parameterize as c : S → lR (n ≥ 2, S is the circle). Given a curve c, we define the tangent space TcM of M at c including in it all deformations h : S → lR of c. We discuss Riemannian and Finsler metrics F (c, h) on this manifold M , and in particular the case of the geom...

Creating and animating subject-specific anatomical models is traditionally a difficult process involving medical image segmentation, geometric corrections and the manual definition of kinematic parameters. In this paper, we introduce a novel template morphing algorithm that facilitates 3D modeling and parameterization of skeletons. Target data can be either medical images or surfaces of the who...

This work focuses on application of the laser forming process to NiTi shape memory alloys. While all NiTi shape memory alloys exhibit both superlasticity and the shape memory effect, this study is restricted to a temperature range over which only the superelastic effect will be active. Specifically, this work addresses laser forming induced macroscopic bending deformations, post process residua...

We present an integrated approach between anatomical and physiological modeling that is useful in medical training and visualization of internal body organ function. In particular, we model the breathing mechanism in the respiratory system because it involves physiological change, such as gas exchange, that depends on gross anatomical deformations (volume changes). We describe our initial model...

Similarity is one of the most important abstract concepts in the human perception of the world. For example, we encounter it every day during our interaction with other people whose faces we recognize. In computer vision and pattern recognition, shape similarity is one of the most fundamental and largely open problem. With slight exaggeration, we can say that all pattern recognition problems bo...

Quasi-conformal (QC) theory is an important topic in complex analysis, which studies geometric patterns of deformations between shapes. Recently, computational QC geometry has been developed and has made significant contributions to medical imaging, computer graphics and computer vision. Existing computational QC theories and algorithms have been built on triangulation structures. In practical ...

We introduce a new geometric framework for the set of symmetric positive-definite (SPD) matrices, aimed at characterizing deformations of SPD matrices by individual scaling of eigenvalues and rotation of eigenvectors of the SPD matrices. To characterize the deformation, the eigenvalue-eigenvector decomposition is used to find alternative representations of SPD matrices and to form a Riemannian ...

Most real world objects consist of non-uniform materials; as a result, during deformation the bending and shearing are distributed non-uniformly and depend on the local stiffness of the material. In the virtual environment there are three prevalent approaches to model deformation: purely geometric, physically driven, and skeleton based. This paper proposes a new approach to model deformation th...

We propose a new 3D/2D registration method for vertebrae of the scoliotic spine, using two conventional radiographic views (postero-anterior and lateral), and a priori global knowledge of the geometric structure of each vertebra. This geometric knowledge is efficiently captured by a statistical deformable template integrating a set of admissible deformations, expressed by the first modes of var...