Impossible Spaces and Rendering Algorithms

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dc.contributor.authorJohnson, Daniel
dc.description31 p.en_US
dc.description.abstractThe methods discovered in this project could lend themselves artistically in both digital and live applications in visual media to create several interesting illusions. These illusions can be used to simply create confusing spaces, or to use the assumptions of regularity to create the illusion of a change in size by use of context. The use of actual physical models in film is often cheaper then digital effects, so its implementation could help produce special effects in film at a lower cost or on a more limited budget where perhaps computer graphics software is unavailable. Future research could include looking at the nature of the scaling that must take place for these gaps to remain hidden. :it was mentioned in this paper that scaling must occur, however the exact nature of such scaling depends completely on the viewpoint. When viewed from the correct direction far away very little scaling is necessary, from wider camera angles more scaling is necessary. It could also include looking at using projective plane geometry to describe the same phenomena.en_US
dc.publisherKalamazoo Collegeen_US
dc.relation.ispartofKalamazoo College Mathematics Senior Individualized Projects Collection
dc.relation.ispartofseriesSenior Individualized Projects. Mathematics.;
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.
dc.titleImpossible Spaces and Rendering Algorithmsen_US