Diffusion Tensor MRI has become the preferred imaging modality to explore white matter structure and brain connectivity in vivo. Conventional region of interest analysis and voxel-based comparison does not make use of the geometric properties of fiber tracts. This paper explores shape modelling of major fiber bundles. We describe tracts, represented as clustered sets of curves of similar shape,...

This paper presents a surface generation tool designed for the construction of aircraft geometry. The software generates complex geometries which can be crafted or modified by the user in real time. The surface generation is based on Partial Differential Equations (PDEs). The PDE method can produce different configurations of aircraft shapes interactively. Each surface is generated by a number ...

In the hot compression test friction has a detrimental influence on the flow stress through the process and therefore, correcting the deformation curve for real behavior is very important for both researchers and engineers. In this study, a series of compression tests were simulated using Abaqus software. In this study, it has been employed the Taguchi method to design experiments by the factor...

Abstract: This paper presents the cubic trigonometric interpolation curves with two parameters generated over the space {1, sint, cost, sin2t, sin3t, cos3t}. The new curves can not only automatically interpolate the given data points without solving equation systems, but are also C2 and adjust their shape by altering values of the two parameters. The optimal interpolation curves can be determin...

Freeform features (FFF) manipulation is an emerging research area in geometric modelling field, which aims to develop innovative shape modification paradigms, more focused on global shape than on local curve modification. A major hindrance to FFF is given by locality properties of spline curves features representation, which forces designers to apply a direct control points manipulation, where ...

In elastic shape analysis, a representation of a shape is invariant to translation, scaling, rotation and reparameterization and important problems (such as computing the distance and geodesic between two curves, the mean of a set of curves, and other statistical analyses) require finding a best rotation and re-parameterization between two curves. In this paper, we focus on this key subproblem ...

Many current dose-response methods assume a parametric shape of some form and do not accommodate comparisons between methods. Motivated by a need to be able to compare dose-response curves without assuming a parametric shape to the dose-response curve, we applied our technique to model them by non-parametric smoothing methods and also estimate area under the curves. Given that we do not know th...

This paper describes a stereo algorithm which matches connected chains of edgels (curves) between images. It is based on representing the curves as elastic strings and measuring the amount of deformation the strings have to undergo to transform between corresponding curves, and incorporates the ideas of the disparity gradient and the fact that matching sections of curve have to be of a similar ...