Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

This article presents a Lyapunov precise integral-based analysis method for seismic structures with added viscous fluid dampers. study uses the full stress algorithm as optimization method, considering mean square of interstory drifts objective, position damper object, and random vibration calculation to optimize frame A integral solution is derived equation based on general expression differen...

in this paper we proved that every g-riesz basis for hilbert space $h$ with respect to $k$ by adding a condition is a riesz basis for hilbert $b(k)$-module $b(h,k)$. this is an extension of [a. askarizadeh,m. a. dehghan, {em g-frames as special frames}, turk. j. math., 35, (2011) 1-11]. also, we derived similar results for g-orthonormal and orthogonal bases. some relationships between dual fram...

An object-centric reference frame is a spatial representation in which objects or their parts are coded relative to others. The existence of object-centric representations is supported by the phenomenon of induced motion, in which the motion of an inducer frame in a particular direction induces motion in the opposite direction in a target dot. We report on an experiment made with an induced mot...

This paper presents a method for determining the six-degreeof-freedom (DOF) transformation between a camera and a base frame of interest, while concurrently estimating the 3D base-frame coordinates of unknown point features in the scene. The camera observes the reflections of fiducial points, whose base-frame coordinates are known, and reconstruction points, whose base-frame coordinates are unk...

Let K1 and K2 be compact sets of real 2×2 matrices with positive determinant. Suppose that both sets are frame invariant, meaning invariant under the left action of the special orthogonal group. Then we give an algebraic characterization for K1 and K2 to be incompatible for homogeneous gradient Young measures. This result permits a simplified characterization of the quasiconvex hull and the ran...

Multiview analysis of scenes includes the study of sceneindependent constraints satisfied by a configuration of cameras for all types of scenes as well as the study of viewindependent constraints satisfied by any camera on a configuration of points. In this paper, we derive new constraints involving configurations of points that move with constant velocity, with constant acceleration, and for u...

This paper presents a computer vision system for tracking human hands. The algorithms used to extract the 3D position and planar orientation of the hand, and the joint angles of the ngers are described. The combined system is able to track a natural hand at 30 frames per second on a standard workstation with no special image processing hardware other than a frame grabber. The tracker has been u...

Planar patch detection aims at simplifying data from 3D imaging sensors to a more compact scene description. We propose a fusion of intensity and depth information using Graph-Cut methods for this problem. Different known algorithms are additionally evaluated on low-resolution high-frame rate image sequences and used as an initialisation for the Graph-Cut approach. In experiments, we show a sig...