Traceability and reachability in dynamic geometry

Master Specialization: Visualization, Virtual Reality and Graphic Interaction
Topic Aproval date: 18/02/09
Orientation: research

Student:
Thesis advisor(s): Robert Joan Arinyo
Contact: robertlsi.upc.edu

The goal is to study two problems paramount in dynamic geometry: 1. Traceability. Let P(A, B) be a geometric construction involving points A and B. How does P(A,B) change when A moves with respect to B? 2. Reachability. Let P be a geometric problem defined by geometric constraint. Let C1 and C2 be two different construction that are solution to the problem P. Is it possible to bring the geometric components of C1 to positions coincident with those of C2 by continuously chnaging the values assigned to the constraints?