We relate the total curvature and the isoperimetric deficit of a curve γ in a two-dimensional space of constant curvature with the area enclosed by the evolute of γ. We provide also a Gauss-Bonnet theorem for a special class of evolutes.

Seismic reflection data can be redatumed to a specified boundary in the subsurface by solving an inverse (or multidimensional deconvolution) problem. The redatumed data can be interpreted as an extended image of the subsurface at the redatuming boundary, depending on the subsurface offset and time. We retrieve targetenclosed extended images by using two redatuming boundaries, which are selected...

As part of the final project for this course, I used CRAIVE (Collaborative-Research Augmented Immersive Virtual Environment Laboratory) space to create an interactive immersive visualizations based on human motion inside the space. As shown in Figure 1, CRAIVE lab has a 360 degree screen equipped with 8 projectors along with 6 overhead cameras used for tracking. The floor space enclosed within ...

UNLABELLED To protect occupants from infectious diseases or possible chemical/biological agents released by a terrorist in an enclosed space, such as an airliner cabin, it is critical to identify gaseous contaminant source locations and strengths. This paper identified the source locations and strengths by solving inverse contaminant transport with the quasi-reversibility (QR) and pseudo-revers...

Organization of living environment is possible through a clear definition of private and public arenas and determinationof a spatial hierarchy. Such defined arenas increase the sense of belonging to the environment which personalizesresidential environments. Enclosure is among the quantities that play a significant role in defining the spaces. In fact,enclosure is the factor that defines a spac...

As a main place for student activities on campus, outdoor spaces have positive impacts students’ physical and mental health. Namely, heat comfort are of great significance to improve activity quality. Here, four unique were studied explore the varying effects human thermal during hot-summer cold-winter periods. Distinct (fully open, semi-open, semi-enclosed, fully enclosed areas) from southern ...