View Proposal #532
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| ID | 532 |
|---|---|
| First Name | Michael |
| Last Name | Rieck |
| Institution | Drake University |
| Speaker Category | faculty |
| Title of Talk | Elliptic Curves and the Perspective 3-Point Problem |
| Abstract | The Perspective-Three-Point Problem (P3P), a camera tracking problem, is solved by first focusing on determining the directions of the lines through pairs of control points, relative to the camera, rather than the distances from the camera to the control points. The analysis of this produces an efficient, accurate and reasonably simple P3P solver, which has been compared with a state-of-the-art P3P solver. However, the principal value of the present work is not in introducing yet another P3P solver, but lies rather in the discovery of an intimate connection between the P3P problem and a special family of elliptic curves that includes curves utilized in cryptography. This holds the potential for further advances in a number of directions. To make this connection, an interesting spherical analogue of an ancient “sliding” problem is stated and solved. |
| Subject area(s) | Elliptic curves, algebraic geometry, projective geometry |
| Suitable for undergraduates? | Y |
| Day Preference | Either |
| Computer Needed? | Y |
| Bringing a laptop? | Y |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 09/14/2019 |
| Year | 2019 |