This paper presents Celtic Canvas -a framework towards computationally generating patterns similar to simple Celtic artwork. As Celtic patterns are highly structured, a robust model of curvature dynamics is introduced in the paper to allow the evolution of space curves as a foundation for line drawing and structural anatomy. Cellular automata integrates several features including -lines and for...

We describe a prototype sketch-based system that allows users to draw and manipulate directed graphs using gestural input exclusively. The system incorporates the notion of fluid sketching, which attempts to recognize and beautify what the user is drawing while it is being drawn. This concept applies to both the drawing of vertices, which are morphed to circles, and to the drawing of edges, whi...

This paper presents a computational model for predicting the location at which the glass fiber solidifies during a highspeed drawing process. Although modeling of the optic fiber drawing process has been of interest for the past two decades, traditional fiber drawing process uses small diameter preforms and low draw speeds, where the glass usually solidifies and turns into fiber inside the furn...

Drawing and writing are the two major means of creating what are referred to as "images", namely visual patterns on flat surfaces. They share many sensorimotor processes related to visual guidance of hand movement, resulting in the formation of visual shapes associated with pictures and words. However, while the human capacity to draw is tens of thousands of years old, the capacity for writing ...

Techniques for 3D model alignment and retrieval are proposed in this paper. Since the techniques of 3D modeling and digitizing tools are in great demand, the expectations of 3D models alignment and retrieval are increasingly. We propose an algorithm for 3D model alignment, which gets the affine transformation between two 3D models. The main idea of our 3D alignment algorithm in rotation is to s...

Abstract A set of planar graphs share a simultaneous embedding if they can be drawn on the same vertex set V of n vertices in the plane without crossings between edges of the same graph. Fixed edges are common edges between graphs that share the same Jordan curve in the simultaneous drawing. We give a necessary condition for when pairs of graphs can have a simultaneous embedding with fixed edge...

Coriolis accelerations in a rotating body of fluid produce restoring forces for disturbances that depart from solid-body rotation, resulting in wave-like motion known as inertial waves. This kind of behaviour can be important in geophysical and technological applications (e.g. planetary core dynamics, instabilities in spinning rocket fuel tanks). For simple container shapes and for solid-body r...

1. INTRODUCTION. STANDARD TRAMMEL. Figure 1a shows a line segment of fixed length whose ends slide along two perpendicular axes. It can be realized physically as a sliding ladder or as a sliding door moving with its ends on two perpendicular tracks. During the motion, a fixed point on the segment traces an ellipse with one quarter of the ellipse in each quadrant (Figure 1b), so this device is c...