The paper describes recent explorations in sketch recognition and management to support architectural design. The exploration and decision-making of early, conceptual design better suited to freehand drawing, sketching, and diagramming than to the hard-line drawing and construction kit approaches of traditional CAD. However, current sketch programs that simulate paper and pencil fail to take ad...

To understand the solution of a linear, time-invariant differential-algebraic equation (DAE), one must analyze a matrix pencil (A,E) with singular E. Even when this pencil is stable (all its finite eigenvalues fall in the left half-plane), the solution can exhibit transient growth before its inevitable decay. When the equation results from the linearization of a nonlinear system, this transient...

We report the fabrication of Resistor-Capacitor (RC) filters and field effect transistors (FETs) based on pencil drawings on paper, which contain turbostratic graphite crystallites as evidenced from Raman analysis. Pencil drawings have been employed as resistor and an ion gel, 1-butyl-3-methylimidazolium octyl sulfate mixed with polydimethylsiloxane (PDMS) as dielectric, for the fabrication of ...

It is possible to generalize the fruitful interaction between (real or complex) Jacobi matrices, orthogonal polynomials and Padé approximants at infinity by considering rational interpolants, (bi-)orthogonal rational functions and linear pencils zB − A of two tridiagonal matrices A, B, following Spiridonov and Zhedanov. In the present paper, beside revisiting the underlying generalized Favard t...

– It is demonstrated that in the (projective plane over) Galois fields GF(q) with q = 2n and n ≥ 3 (n being a positive integer) we can define, in addition to the temporal dimensions generated by pencils of conics, also time coordinates represented by aggregates of (q+1)-arcs that are not conics. The case is illustrated by a (self-dual) pencil of conics endowed with two singular conics of which ...

This paper aims at designing an automated system to monitor the production in a pencil industry. The objectives of this work is to count the number of pencils in each pencil case and compare the results to check if desired number of pencils are present. The packets where the number of pencils are not equal to desired is diverted from production line, rest cases which pass the quantity check is ...

In this paper we present a blender and eraser model that extends our graphite pencil and paper model. This blender and eraser model enhances the rendering results producing realistic looking graphite pencil tones and textures. Our model is based on observations on the absorptive and dispersive properties of blenders and erasers interacting with lead material deposited over drawing paper. The pa...

Recent observations of gaps and non-axisymmetric features in the dust distributions of transition disks have been interpreted as evidence of embedded massive protoplanets. However, comparing the predictions of planet–disk interaction models to the observed features has shown far from perfect agreement. This may be due to the strong approximations used for the predictions. For example, spiral ar...

Pencil traces drawn on print papers are shown to function as strain gauges and chemiresistors. Regular graphite/clay pencils can leave traces composed of percolated networks of fine graphite powders, which exhibit reversible resistance changes upon compressive or tensile deflections. Flexible toy pencils can leave traces that are essentially thin films of graphite/polymer composites, which show...

The objective of this study is to assess the feasibility of using PRESAGE dosimeters for proton pencil beam dosimetry. Two different formulations of phantom materials were tested for their suitability in characterizing a single proton pencil beam. The dosimetric response of PRESAGE was found to be linear up to 4Gy. First-generation optical CT scanner, OCTOPUS was used to implement dose distribu...