Surface-to-surface intersections

Applying Homotopy to Surface-Surface Intersections

Homotopy is a method for finding the roots of one equation by slowly transforming an equation to which the roots are known into the equation of interest, keeping track of how the roots change as the equation does. Homotopy has been considered in the past for surface-surface intersections in computer-aided geometric design, but rejected out of concern for speed or numerical accuracy. However, re...

microleakage evaluation in regard to cavo-surface designs & treatments

چکیده ندارد.

Surface/surface Intersections: a Three States Classification

Detecting intersecting surfaces and computing their intersection curves is one of the fundamental problems in solid modeling algebra. In this paper, we introduce a new strategy to classify surfaces against their intersection status. We replace exact geometric entities by fuzzy geometric ones. Intersecting surfaces are then replaced by fuzzy intersecting faces and their fuzzy intersection algori...

Surface-Surface Intersections Between T-splines

Math Research Experience: Surface Intersections

During the summer between my junior and senior year, I was extremely lucky to be one of the 80 rising seniors who were admitted to the Research Science Institute (RSI) held at MIT. My mentor was Ryan Reich, a graduate student from Harvard University. Before the program, I was contacted by my mentor and was given a couple of project ideas. I could either do a project on tropical geometry or do a...