April 2003 May 2003 June 2003
Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa
1 2 3 4 5 1 2 3 1 2 3 4 5 6 7
6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14
13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21
20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28
27 28 29 30 25 26 27 28 29 30 31 29 30
|
In this talk, we use algebraic topology to develop invariants useful in describing shapes and locating and classifying features (i.e. singular points of various types). The invariants we propose can be computed on "point cloud data", i.e. finite but large sets of points sampled from an underlying topological space in R^n, and we will discuss how topological invariants are obtained from point cloud data. We will also discuss an algorithm for locating singular points of particular types.