A monocular visual servoing scheme for constrained robots is considered in this chapter. Inspired by the Orthogonalization Principle (OP) introduced by Suguru Arimoto in the context of robot force control, a Visual Orthogonalization Principle (VOP) is proposed and a novel control scheme for adaptive image-based visual servoing is presented. The scheme guarantees a global exponential convergence...

We introduce a computationally efficient FFT-based algorithm for the design of OFDM/ OQAM pulse shaping filters of arbitrary length and with arbitrary overlapping factors. The basic idea of our approach is to start from an arbitrary initial (nonorthogonal) filter and to perform an orthogonalization which yields an ISIand ICI-free pulse shaping filter. The orthogonalization is performed in the d...

In phase-shifting interferometry with unknown phase shifts, a normalization and orthogonalization phase-shifting algorithm (NOPSA) is proposed to achieve phase retrieval. The background of interferogram is eliminated through using the orthogonality of complex sinusoidal function; and the influence of phase shifts deviation on accuracy of phase retrieval is avoided through both normalization and...

The statistics of meanders is studied in connection with the Temperley-Lieb algebra. Each (multi-component) meander corresponds to a pair of reduced elements of the algebra. The assignment of a weight q per connected component of meander translates into a bilinear form on the algebra, with a Gram matrix encoding the fine structure of meander numbers. Here, we calculate the associated Gram deter...

The orthogonal conjunctive normal form of a Boolean function is a conjunctive normal form in which any two clauses contain at least a pair of complementary literals. Orthogonal disjunctive normal form is defined similarly. Orthogonalization is the process of transforming the normal form of a Boolean function to orthogonal normal form. The problem is of great relevance in several applications, f...

The platform-based design methodology [1] is based on the usage of formal modeling techniques, clearly defined abstraction levels and the separation of concerns to enable an effective design process. The METROPOLIS framework embodies the platform-based design methodology and has been applied to a number of case studies across multiple domains. Based on these experiences, we have identified thre...

1. Scheby-Buch.-Arch. f. Ophthal., p. 265, 1871. 2. Moll.-Centralbl. f. prakt Augenheilk, p. 2, 1896. 3. Weber.-Virchow's Arch., Vol. XXV, p. 114b, and Vol. XXVIII, p. 489, 1863. % 4. Schmidt-Rimpler.-Klin. Wochenschr., p. 92, 1884. Berlin. 5. Aubertin.-Rev. Gen. d'Ophtal., p. 280, 1933. 6. Lohmann.-Beticht iuber d. Vers. d. Ophthal. Gesellsch., p. 264, 1908. Heidelberg. 7. Stephenson.The Ophth...

Householder orthogonalization plays an important role in numerical linear algebra. It attains perfect orthogonality regardless of the conditioning input. However, context a non-standard inner product, it becomes difficult to apply due lack initial orthonormal basis. We propose strategies overcome this obstacle and discuss algorithms variants with product. Theoretical analysis experiments demons...