By David A. Forsyth, Okan Arikan, Leslie Ikemoto
Computational reports of Human movement: half 1, monitoring and movement Synthesis studies tools for kinematic monitoring of the human physique in video. The assessment confines itself to the sooner phases of movement, targeting monitoring and movement synthesis. there's an intensive dialogue of open concerns. The authors establish a few difficult phenomena linked to the alternative of human movement illustration --- joint angles vs. joint positions. The evaluate concludes with a brief consultant to assets and an intensive bibliography of over four hundred references. Computational reviews of Human movement: half 1, monitoring and movement Synthesis is a useful reference for these engaged in computational geometry, special effects, photograph processing, imaging generally, and robot.
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Extra resources for Computational Studies of Human Motion: Part 1, Tracking and Motion Synthesis (Foundations and Trends in Computer Graphics and Vision)
This is somewhat inconvenient to write out, and it is helpful to keep track of intermediate values. Introduce the notation pl = Tk→l (p; θ) for the point p in the coordinate system of the l’th link. Our transformations have two types of argument: the points in space, and the camera parameters. It is useful to distinguish between two types of derivative. Write the partial derivative of a transformation T with respect to its spatial arguments as DT . In coordinates, T would take the form (f1 (x1 , x2 , x3 , θ), f2 (x1 , x2 , x3 , θ), f3 (x1 , x2 , x3 , θ)), and this derivative would be the matrix whose i, j’th element is ∂fi /∂xj .
We then pass from the root to the leaves concatenating spatial derivatives and summing. 3 Rigid-body transformations All the above takes a convenient and simple form for rigid-body transformations (which are likely to be the main interest in human tracking). We use homogeneous coordinates to represent points in 3D, and so a rigid body transformation takes the form T (p, θ) = Rt p 0 1 where R is an orthonormal matrix with determinant one (a rotation matrix). The parameters are the parameters of the rotation matrix and the coefficients of the vector t.
Extensive accounts of particle filters appear in [93, 231, 319]. 2 Tracking: Relations between 3D and 2D Many applications require a representation of the body in three dimensions. Such a track could come from tracking with a 3D representation – perhaps a set of body segments in 3D, modelled as surfaces, triangle meshes or sample points – or by building a kinematic track in two dimensions, then “lifting” it to produce a 3D track. If there is only one camera, relations between the 2D figure and the 3D track are complicated, and may be ambiguous.
Computational Studies of Human Motion: Part 1, Tracking and Motion Synthesis (Foundations and Trends in Computer Graphics and Vision) by David A. Forsyth, Okan Arikan, Leslie Ikemoto