Visualizing Geometric Shapes Kelly Testa Advisors: Chris Fernandes & Davide Cervone

Presentation Agenda Project Characteristics Current Progress Background Project Characteristics Current Progress Future Work

Original Program Uses Classroom demos Help with homework

Original Program Geomview - tool that displays mathematical objects

Original Program StageTools – modules that create and manipulate geometric objects

Problems with Original Program To use the program 1. Load Linux environment 2. Setup Geomview 3. Load StageTools

Goals of a New Program More accessible to students and professors Same capabilities as the original Flexible enough for unknown features

Representing Geometric Objects

Representing Geometric Objects Data - points - connections

Display Format DomainCreators Grid Stripes Patches

Display Format Ranges [-1, 1, 2] [3, 5, 2] Points { (-1, 3), (-1, 4), (-1, 5), (0, 3), (0, 4), (0, 5), (1, 3), (1, 4), (1, 5) } -1 1 4 5 3

Display Format GridCreator {[0, 1], [1, 2], [3, 4], [4, 5], [6, 7], [7, 8], [0, 3], [3, 6], [1, 4], [4, 7], [2, 5], [5, 8]} 5 5 8 8 2 2 4 4 1 7 7 1 3 6 3 6 PatchCreator { [0, 3, 4, 1], [3, 6, 7, 4], [1, 4, 5, 2], [4, 7, 8, 5] }

Mapping Sets MapSetToSet class Curve: f: R  R3 f(t) = (t, t2, t3) Surface: f: R2  R3 f(u,v) = (u, v, u*v)

Mapping Sets Example: f(u,v) = (u, v, u*v) 2-D point set (u,v)  3-D point set (x,y,z) { (-1, -1), (-1, 0), (-1, 1)}  { (-1, -1, 1), (-1, 0, 0), (-1, 1, -1) }

Data Flow User Input Grid Creator Data f(u,v)=(u,v,u*v) Data Viewer

Linked Geometric Objects

My Images

Future Work Parser for Function String GUI for creating the geometric object Interfaces to change parameters Graphical Display

Questions?