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dc.contributor.authorRossignac, Jarek
dc.date.accessioned2018-07-17T17:43:24Z
dc.date.available2018-07-17T17:43:24Z
dc.date.issued2018-07-23
dc.identifier.urihttp://hdl.handle.net/1853/60061
dc.description.abstractThe proposed Steady QUad INTerpolating (SQUINT) map is formulated in terms of a SQUINT Field of Similarities (FoS). It is controlled by four coplanar points. It maps the unit square onto a curved planar quad, R, which has these points as corners. Uniformly spaced, log-spiral isocurves decompose R into tiles that are similar to each other and, hence, each have equal angles at opposite corners. We provide closed-form expressions for computing the representation of the SQUINT map and for evaluating the map and its inverse. We discuss extensions and potential applications to texture maps and field warps and to the design, display, and constant-cost query of procedural models of arbitrarily complex lattices.en_US
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.relation.ispartofseriesGVU Technical Report ; GIT-GVU-2018-04en_US
dc.subjectDeformationen_US
dc.subjectLatticeen_US
dc.subjectLog-spiralen_US
dc.subjectPlanar mapen_US
dc.subjectPoint-membership classen_US
dc.subjectSimilarityen_US
dc.subjectSteady motionen_US
dc.subjectSteady patternen_US
dc.subjectTexture mappingen_US
dc.titleSQUINT Fields, Maps, Patterns, and Latticesen_US
dc.typeTechnical Reporten_US
dc.contributor.corporatenameGeorgia Institute of Technology. GVU Centeren_US
dc.contributor.corporatenameGeorgia Institute of Technology. School of Interactive Computingen_US


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