Concepts from Tensor Analysis and Differential Geometry.

the differential effects of debate and media analysis as relate to enhancing efl learners critical thinking ability and writing performances

critical thinking ability has an important role in education. accordingly, scholars around the world are searching for new ways for teaching and improving students critical thinking ability. in line with the studies in efl contexts supporting the positive relationship between critical thinking and writing performances, this study investigated the differential effects of halverson’s critical thi...

Computation of Epipolar Geometry and Trifocal Tensor from Spherical Images

We formulate multiple view geometry for 3D reconstruction using a spherical-camera model as a normalized camera model expressing all central cameras. In the sense of geometry, a central camera is a collection of all rays incident to one point. Generally speaking, most cameras that are widely-used in the field of computer vision and robot vision are designed to fall into the central camera. This...

Diffusion Tensor Image Registration Using Tensor Geometry and Orientation Features

This paper presents a method for deformable registration of diffusion tensor (DT) images that integrates geometry and orientation features into a hierarchical matching framework. The geometric feature is derived from the structural geometry of diffusion and characterizes the shape of the tensor in terms of prolateness, oblateness, and sphericity of the tensor. Local spatial distributions of the...

Computational Geometry from the Viewpoint of Affine Differential Geometry

Differential Geometry Derived from Divergence Functions: Information Geometry Approach

We study differential-geometrical structure of an information manifold equipped with a divergence function. A divergence function generates a Riemannian metric and furthermore it provides a symmetric third-order tensor, when the divergence is asymmetric. This induces a pair of affine connections dually coupled to each other with respect to the Riemannian metric. This is the arising emerged from...