Different (not only by sign) affine connections are introduced for con-travariant and covariant tensor fields over a differentiable manifold by means of a non-canonical contraction operator, defining the notion dual space and commuting with the covariant and with the Lie-differential operator. Classification of the linear transports on the basis of the connections between the connections is giv...

This paper introduces a new approach to the visualization of volumetric vector fields with an adaptive distribution of animated particles that show properties of the underlying steady flow. The shape of the particles illustrates the direction of the vector field in a natural way. The particles are transported along streamlines and their velocity reflects the local magnitude of the vector field....

This paper proposed human identification method by gait. Human gait is a type of biometric features and related to the physiological and behavioral features of a human. In this paper, a feature vector of gait motion parameters is extracted from each frame using image segmentation methods, and categorized into different categories. Two of these categories were used to form the gait motion trajec...

a = semimajor axis b = magnetic field vector e = eccentricity e = orbital element vector e · = matrix exponential f = true anomaly h = angular momentum magnitude i = inclination J = cost Jn = nth zonal harmonic coefficient M = mean anomaly m = mass m = magnetic dipole vector N − 1 = number of thrusts n = mean motion p = semilatus rectum q = electrical charge r = orbit radius magnitude r = posit...

This paper introduces a new approach to the visualization of volumetric vector fields with an adaptive distribution of animated particles that show properties of the underlying steady flow. The shape of the particles illustrates the direction of the vector field in a natural way. The particles are transported along streamlines and their velocity reflects the local magnitude of the vector field....

Feedback controllers for the stabilization of the angular velocity vector of a rigid spacecraft using a single-gimbal Variable Speed Control Moment Gyro (VSCMG) are presented. Linearization of the equations of motion show that complete attitude stabilization is not possible via linear methods. Nonetheless, it is shown that the linearized angular velocity equations are controllable, and a simple...

We propose and demonstrate a mechanism for small-modal-volume high-Q cavities based on an anomalous uniform waveguide mode that has zero group velocity at a nonzero wave vector. In a short piece of a uniform waveguide with a specially designed cross section, light is confined longitudinally by small group-velocity propagation and transversely by a reflective cladding. The quality factor Q is gr...

Analysis of the aerodynamic forces acting on baseball pitches from major league games reveals a large variance in the measured coefficients of lift and drag. We have examined possible explanations for this effect and found that, while uncertainties introduced by measurement error and the method of reporting major league pitch trajectories do explain some of the spread, the reasons for the large...

Trajectory analysis plays a key role in human activity recognition and video surveillance. This paper proposes a new approach based on modeling trajectories using a bank of vector (velocity) fields. We assume that each trajectory is generated by one of a set of fields or by the concatenation of trajectories produced by different fields. The proposed approach constitutes a space-varying framewor...