We present a consistent model for artistic media reproduction in 3D scene renderings and animations. Artistic media reproduction can be defined as a media model (such as brush, pencil, ink) and a support (such as canvas and papers). We create a surface grain according to the object geometry and apply it as additional material properties. Furthermore, we propose to use the abstraction of obtaine...

The present paper is devoted to the classification of irregular surfaces of general type with pg = q = 2 and non birational bicanonical map. The main result is that, if S is such a surface and if S is minimal with no pencil of curves of genus 2, then S is a double cover of a principally polarized abelian surface (A,Θ), with Θ irreducible. The double cover S → A is branched along a divisor B ∈ |...

Let g and c be any integers satisfying g ≥ 3 and 0 ≤ c ≤ ⌊ 2 ⌋. It is known that there exists a polarized K3 surface (X,H) such that X is a K3 surface of Picard number 2, and H is a very ample line bundle on X of sectional genus g and Clifford index c, by Johnsen and Knutsen([J-K] and [Kn]). In this paper, we give a necessary and sufficient condition for a Lazarsfeld-Mukai bundles of rank 2 ass...

We construct two pencils of bielliptic curves genus three and five. The first pencil is associated with a general abelian surface polarization type $(1,2)$. second related to the by an unramified double cover, Prym variety which canonically isomorphic Jacobian very curve two. Our results are obtained analyzing suitable elliptic fibrations on Kummer surfaces rational covers among them.

We introduce the notion of radical parametrization of a surface, and we provide algorithms to compute such type of parametrizations for families of surfaces, like: Fermat surfaces, surfaces with a high multiplicity (at least the degree minus 4) singularity, all irreducible surfaces of degree at most 5, all irreducible singular surfaces of degree 6, and surfaces containing a pencil of low-genus ...

We describe the generic change of the partial multiplicities at a given eigenvalue λ0 of a regular matrix pencil A0 + λA1 under perturbations with low normal rank. More precisely, if the pencil A0 + λA1 has exactly g nonzero partial multiplicities at λ0, then for most perturbations B0 + λB1 with normal rank r < g the perturbed pencil A0 + B0 + λ(A1 + B1) has exactly g − r nonzero partial multip...

Article history: Received 28 December 2012 Available online 14 June 2013 Communicated by T.S. Ratiu MSC: 37K10 53D17 53A60 A Poisson pencil is called flat if all brackets of the pencil can be simultaneously locally brought to a constant form. Given a Poisson pencil on a 3-manifold, we study under which conditions it is flat. Since the works of Gelfand and Zakharevich, it is known that a pencil ...

Apr i l 20 0 8 Graphene, a newly isolated form of carbon, provides a rich lode of novel fundamental physics and practical applications BY ANDRE K. GEIM AND PHILIP KIM C onsider the humble pencil. It may come as a surprise to learn that the now common writing instrument at one time topped the list of must-have, high-tech gadgets. In fact, the simple pencil was once even banned from export as a s...

Many students struggle with statistical concepts such as interaction. In an experimental group, participants took a paper-and-pencil test and then were given training to establish equivalent classes containing four different statistical interactions. All participants formed the equivalence classes and showed maintenance when probes contained novel negative exemplars. Thereafter, participants to...