The computation cost mainly due to the numerical computation of the gradient of the cost function with the inverse kinematics is significantly reduced by applying the stochastic gradient descent (SGD) method. Despite only using partial samplings for the estimation of the global gradient, it does not sacrifice the accuracy since it stochasticall...
This further reduces descent rates due to energy now being stored and dissipated in a rotational mode as well. The sphere also experiences small rotational effects, but due to its rotationally symmetric nature this effect has a much less drastic consequence on the particle behaviours. Finally, it...
Our method is based on gradient descent and requires the calculation of the first order variation of the silhouette with respect to the parameter θ. This differentiation should be carried out for each stage of the silhouette computation. 3 3.1 Differentiation of the ellipsoid Projection Each elli...