Expo '13 redivivus.

Expo-rational B-splines Expo-rational B-splines Expo-rational B-splines

A new type of B-spline the expo-rational B-spline is introduced. The heuristic motivation for its introduction comes from important similarities in several celebrated mathematical constructions originating in approximation theory, differential geometry and operator theory. The main result of the paper is the derivation of an Edgeworth and a steepest-descent/saddlepoint asymptotic expansion whic...

Artificial insemination redivivus: permutations within a penumbra.

Generalized Expo - Rational B - Splines

The concept of expo-rational B-spline (ERBS) was introduced in [6] where the ’superproperties’ of ERBS were studied for the first time. In 2006 the first author of the present paper proposed a framework for the generalization of ERBS, the so-called generalized ERBS (GERBS), and considered one important instance of GERBS, the so-called Euler Beta-function B-splines (BFBS) which offered a good tr...

Vaccination Against Measles: Francis Home Redivivus

This paper is an attempt to review in the light of earlier research certain recent work on measles virus with emphasis on the development of a living attenuated vaccine against the disease. It was presented as a Cameron Prize Lecture before the Faculty of Medicine, Edinburgh University, 16 May 1961. Since it has not been submitted for publication the author decided it might be appropriate to of...

Facial Caricaturing Robot COOPER in EXPO 2005

We developed a facial caricaturing robot named "COOPER", that was exhibited at the Prototype Robot Exhibition of EXPO 2005, Aichi Japan during 11 days from Jun.9 to Jun.19. COOPER watches the face of a person seated at the chair, obtains facial images, and analyzes the images to extract 251 feature points to generate his facial line drawings with deformation. It is noted that the caricature was...