Conference on Undergraduate Research in Mathematics Penn State University November 4-5, 2011 Talk Abstracts Plenary Speakers Annalisa Crannell, Franklin & Marshall College Math and Art: The Good, the Bad, and the Pretty How do we fit a three-dimensional world onto a two-dimensional canvas? Answering this question will change the way you look at the world, literally: we'll learn where to stand a...

Three-dimensional surface imaging has gained clinical acceptance in plastic and reconstructive surgery. In contrast to computed tomography/magnetic resonance imaging, three-dimensional surface imaging relies on triangulation in stereophotography to measure surface x, y, and z coordinates. This study reviews the past, present, and future directions of three-dimensional topographic imaging in pla...

A technique for recognizing planar objects in three-dimensional space is described. The object’s domain is not restricted to purely two-dimensional items but includes fairly flat real objects such as a pair of scissors. To tackle realistic matching problems, the proposed method is invariant to changes within a prescribed range of perspective viewpoints, scaling, shift and reasonable degree of o...

Three-dimensional computer graphic techniques are applied to the processing of snowstorm radar data. The following techniques are examined: 1) perspective representation of radar data; 2) zooming; 3) change in viewing angle and viewing point; 4) arbitrary cross-sectional analysis; and 5) time sequence analysis of perspective

Consoles that use three-dimensional (3-D) perspective views on flat screens to display data seem to provide a natural, increasingly affordable solution for situational awareness tasks. However, the empirical evidence supporting the use of 3-D displays is decidedly mixed. Across an array of tasks, a number of studies have found benefits for 3-D perspective over two-dimensional (2-D) views, while...

There is growing interest in the role of perspective taking in organizations. Perspective taking has been linked to enhanced interpersonal understanding and the strengthening of social bonds. In this chapter, I integrate research from sociology, communications, and psychology to provide insight into why, when, and how perspective taking facilitates the relational resources of positive connectio...

Several experiments were carried out to compare the impacts of using a two dimensional (2D) plan view or a three dimensional (3D) perspective view in discrete event simulation visual displays. The experiments measured the performance of participants in spotting errors, describing the model, and suggesting improvements to the system. The participants using the 3D perspective display performed mu...