A quantization over a manifold can be seen as a way to construct a differential operator with prescribed principal symbol. The map from the space of principal symbols to the space of differential operators is moreover required to be a linear bijection. It is known that there is in general no natural quantization procedure. However, considering manifolds endowed with additional structures, such ...

This paper addresses the problem of modeling and correcting image blur caused by camera motion that follows a projective motion path. We introduce a new Projective Motion Blur Model that treats the blurred image as an integration of a clear scene under a sequence of projective transformations that describe the camera’s path. The benefits of this motion blur model is that it compactly represents...

The effects of parental divorce on the levels of aggression, hostility, and anxiety in children, as measured by the Rorschach test, together with the type and direction of aggression, as measured by the Rosenzweig Picture-Frustration (P-F) Study, were studied. The Rorschach and the Rosenzweig P-F study were administered to a nonclinical sample of 108 Swedish children ranging in age from 10 to 1...

ABSTRACT. A Steiner surface is the generic case of a quadratically parameterizable quartic surface used in geometric modeling. This paper studies quadratic parameterizations of surfaces under the angle of Classical Invariant Theory. Precisely, it exhibits a collection of covariants associated to projective quadratic parameterizations of surfaces, under the actions of linear reparameterization a...

We study the relationship between the equations defining a projective variety and properties of its secant varieties. In particular, we use information about the syzygies among the defining equations to derive smoothness and normality statements about SecX and also to obtain information about linear systems on the blow up of projective space along a variety X. We use these results to geometrica...

There exists a duality between elliptic curves and noncommutative tori, i.e. C∗-algebras generated by the unitary operators u and v such that vu = euv. We show that this duality can be included into a general picture involving the algebraic curves of higher genus. In this way we prove that a big part of geometry of complex algebraic curves can be developed from the K-theory of a noncommutative ...

We present a new projective invariant-based technique for recovering depth information from stereo images. The basic idea of our method is to use intensity segments as primitives for stereo matching. To recover the depth information of intensity segments, two projective invariants are introduced. From the two invariants, we can derive a relation that should be satisfied between the matching pai...