The Cartan control problem of the quantum circuits discussed from the differential geometry point of view. Abstract unitary transformations of SU(2n) are realized physically in the projective Hilbert state space CP (2n − 1) of the n-qubit system. Therefore the Cartan decomposition of the algebra AlgSU(2n −1) into orthogonal subspaces h and b such that [h, h] ⊆ h, [b, b] ⊆ h, [b, h] ⊆ b is state...

Susumu Tachi The University of Tokyo Hongo 7-3-1, Bunkyo-ku Tokyo 113-0033 Japan In order to grasp an object, we need to solve the inverse kinematics problem, i.e., the coordinate transformation from the visual coordinates to the joint angle vector coordinates of the arm. Although several models of coordinate transformation learning have been proposed, they suffer from a number of drawbacks. In...

Adaptive Polar Sampling (APS) is proposed as a Markov chain Monte Carlo method for Bayesian analysis of models with ill-behaved posterior distributions. In order to sample efficiently from such a distribution, location-scale transformation and a transformation to polar coordinates are used. After the transformation to polar coordinates, a MetropolisHastings algorithm is applied to sample direct...

Adaptive Polar Sampling (APS) is proposed as a Markov chain Monte Carlo method for Bayesian analysis of models with ill-behaved posterior distributions. In order to sample e ciently from such a distribution, a location-scale transformation and a transformation to polar coordinates are used. After the transformation to polar coordinates, a MetropolisHastings algorithm is applied to sample direct...

We derive a transformation from the usual ADM metric-extrinsic curvature variables on the phase space of Schwarzschild black holes, to new canonical variables which have the interpretation of Kruskal coordinates. We explicitly show that this transformation is non-singular, even at the horizon. The constraints of the theory simplify in terms of the new canonical variables and are equivalent to t...

In this paper we present a method for mirror shape recovery and partial calibration for non-central catadioptric systems. This method is based on an existing algorithm for calibration of general vision systems. In addition only two images are required for both mirror shape recovery and partial calibration instead of three as in the original algorithm. On the other hand the knowledge of the para...

In principal, color reproduction on specific devices can be divided into transformation of color coordinates and the adaptation of colors to a device, called gamut mapping. The well established ICC color management neglects the latter aspect. This paper presents a practical implementation addressing both an efficient color transformation and a sophisticated gamut mapping.

This paper describes a technique to transform coordinates between map references based on NTv2 format grids. Using the grids rather than carrying out a transformation allows to avoid map archives doubling, thereby easing “on the fly” transformation between different map representations. The paper also includes a case-study on a highway stretch currently under construction, the ‘Pedemontana Lomb...