is stretching and folding feature of chaotic trajectories useful in adaptive local projection?

Is Stretching and Folding Feature of Chaotic Trajectories Useful in Adaptive Local Projection?

Chaotic behavior is a feature associated with complex and interacted systems. Many natural and unnatural systems in various branches of science (such as biology, economics, etc.) exhibit chaotic behavior and the study of chaotic systems and signals has progressed in the recent decades. [1] Chaotic time series have a significant role in identification of their generating systems. It has been cla...

A novel Local feature descriptor using the Mercator projection for 3D object recognition

Point cloud processing is a rapidly growing research area of computer vision. Introducing of cheap range sensors has made a great interest in the point cloud processing and 3D object recognition. 3D object recognition methods can be divided into two categories: global and local feature-based methods. Global features describe the entire model shape whereas local features encode the neighborhood ...

Object Recognition with local feature trajectories

This diploma thesis presents a novel approach for extracting a 3-D object description. In particular, representations based on local features generated from image sequences are studied. In a first step, different methods for detecting and tracking features are analysed. As a result trajectories of local features are obtained which are examined with respect to their quality and robustness. In a ...

Conservative chaotic flow generated via a pseudo-linear system

Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...

Stretching Folding Instablility and Nanoemulsion

Stretching and folding in finite time.

Complex flows mix efficiently, and this process can be understood by considering the stretching and folding of material volumes. Although many metrics have been devised to characterize stretching, fewer are able to capture folding in a quantitative way in spatiotemporally variable flows. Here, we extend our previous methods based on the finite-time curving of fluid-element trajectories to nonze...