View Proposal #434
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| ID | 434 |
|---|---|
| First Name | Christian |
| Last Name | Roettger |
| Institution | Iowa State University |
| Speaker Category | faculty |
| Title of Talk | Rashomon sculptures - reconstructing 3D shapes from inexact measurements |
| Abstract | The art installation 'Rashomon' was displayed on the Iowa State University campus during summer 2015. It consists of 15 identical, abstract sculptures. Artist Chuck Ginnever posed the challenge whether it is possible to display the sculptures so that no two of them are in the same position (modulo translation/rotation). We investigated the related question of reconstructing such a sculpture from (ordinary tape-measure) inexact measurements. Mathematics involved are the Cayley-Menger determinant, and the gradient method / Steepest Descent. We'll explain the mathematics with some simple examples and then show the results of our reconstruction. We will only assume elementary linear algebra (matrix - vector multiplication, determinants). |
| Subject area(s) | |
| Suitable for undergraduates? | ? |
| Day Preference | none |
| Computer Needed? | |
| Bringing a laptop? | |
| Overhead Needed? | |
| Software requests | |
| Special Needs | |
| Date Submitted | 10/02/2015 |
| Year | 2015 |