The Ptolemy-Alhazen problem with source at infinity
Masayo Fujimura, Matti Vuorinen
TL;DR
This paper investigates the classical Ptolemy-Alhazen reflection problem for a distant light source, providing insights into the geometric optics of spherical mirrors when the source is at infinity.
Contribution
It offers a detailed analysis of the reflection problem specifically for sources at infinity, extending previous work on finite sources.
Findings
Derived new geometric conditions for reflection at infinity.
Provided explicit solutions for the reflection points on the sphere.
Enhanced understanding of optical reflection with distant sources.
Abstract
We study the well-known Ptolemy-Alhazen problem on reflection of light at the surface of a spherical mirror in the case when the source of light is very far from the mirror.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMaterial Science and Thermodynamics · Relativity and Gravitational Theory · Algebraic and Geometric Analysis