For cubic pencils we define the notion of an involution curve. This is a curve which intersects each pencil in exactly one non-base point pencil. Involution curves can be used to construct integrable maps plane leave invariant

2 Singularities and Extreme Points 4 2.1 Singularities and Genus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Parameterizing with a Pencil of Lines . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Parameterizing with a Pencil of Curves . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Algebraic Space Curves . . . . . . . . . . . . . . . . . . . . . ...

We illustrate properties of the conics in Poncelet’s pencil using some new insights motivated by some elementary triangle constructions of Garcı́a.

Global illumination is an important area of computer graphics, having direct applications in architectural visualization, lighting design and entertainment. Indirect illumination effects such as soft shadows, color bleeding, caustics and glossy reflections provide essential visual information about the interaction of different regions of the environment. Global illumination is a research area t...

The objective was to assess the impact of a test digital format on evaluating cognitive functions children with ADHD symptoms, along differential impacts in comparison typically developed groups. sample consisted 99 aged 7 9 years (M = 7.99, SD 0.802), being 52 clinical group. All participants were assessed paired batteries and traditional tests. There significant differences between evaluated ...

Convolution/superposition software has been used to produce a library of photon pencil beam dose matrices. This library of pencil beams is designed to serve as a tool for both education and investigation in the field of radiotherapy optimization. The elegance of this pencil beam model stems from its cylindrical symmetry. Because of the symmetry, the dose distribution for a pencil beam from any ...

BACKGROUND AND PURPOSE New treatment techniques in radiotherapy employ increasing dose calculation complexity in treatment planning. For an adequate check of the results coming from a modern treatment planning system, clinical tools with almost the same degree of generality and accuracy as the planning system itself are needed. To fulfil this need we propose a photon pencil kernel parameterizat...

BACKGROUND Differential responses in terms of gender and antisocial behaviour in emotional reactivity to affective pictures using the International Affective Picture System (IAPS) have been demonstrated in adult and adolescent samples. Moreover, a quadratic relationship between the arousal (intensity) and valence (degree of unpleasantness) has been suggested. The picture perception methodology ...

Researchers in non-photorealistic rendering have investigated the display of three-dimensional worlds using various display models. In particular, recent work has focused on the modeling of traditional artistic media and styles such as pen-and-ink illustration and watercolor painting. By providing 3D rendering systems that use these alternative display models users can generate traditional illu...