Let T and S be a subspace of C and C, respectively. Then for A ∈ Cm×n satisfied AT ⊕ S = C, the generalized inverse A T,S is given by A (2) T,S = (PS⊥APT ) †. In this paper, a finite formulae is presented to compute generalized inverse A T,S under the concept of restricted inner product, which defined as < A,B >T,S=< PS⊥APT , B > for the A,B ∈ Cm×n. By this iterative method, when taken the init...

Multisensory research is often interpreted according to three rules: the spatial rule, the temporal rule, and the law of inverse effectiveness. The spatial and temporal rules state that multisensory stimuli are integrated when their environmental sources occur at similar locations and times, respectively. The law of inverse effectiveness states that multisensory stimuli are integrated inversely...

This paper presents the fomulation of the inverse kinematics and dvnamics of the1 3-RRS parallel platform with three degrees of freedom. For inverse kinematics, The position analysis is f irs f ly performed. Then the differential motion constraint vquations of the movable platform are established, based on which the velocity and acceleration formulae of leg actuators are derived. In inverse dyn...

Despite the huge progress made in interactive physics-based mesh deformation, manipulating a geometrically complex mesh or posing a detailed character is still a tedious and time-consuming task. Example-driven methods significantly simplify the modeling process by incorporating structural or anatomical knowledge learned from example poses. However, these approaches yield counter-intuitive, non-...

5.1 ROOT MOTION .....................................................................................................................................................4 5.2 KINEMATIC CONSTRAINTS....................................................................................................................................5 5.3 MOTION CYCLIFICATION .................................................

The present paper studies Plücker coordinates for line elements in Euclidean three-space. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties. MSC 2000: 51M30, 53A17