Abstract
We reanimate the (sometimes forgotten) Belgian Theorems, and show how the balls of Dandelin can give us elegant proofs for geometric properties of perspective ball projections. As a consequence, we derive a new formula for computing the focal length by means of 1 image of 1 ball. By means of simulations we show the sensitivity of our formula in function of the ratio of the major axis to the minor axis of the elliptic ball image. This provides a measure of reliability and enables us to select the most appropriate ball image.
Cite
CITATION STYLE
Penne, R., Ribbens, B., Mertens, L., & Levrie, P. (2015). What does one image of one ball tell us about the focal length? In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9386, pp. 501–509). Springer Verlag. https://doi.org/10.1007/978-3-319-25903-1_43
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
