Title
What does one image of one ball tell us about the focal length? What does one image of one ball tell us about the focal length?
Author
Faculty/Department
Faculty of Applied Engineering Sciences
Publication type
conferenceObject
Publication
Cham :Springer int publishing ag, [*]
Subject
Mathematics
Engineering sciences. Technology
Computer. Automation
Source (book)
Advanced concepts for intelligent vision systems : 16th International Conference, ACIVS 2015, Catania, Italy, October 26-29, 2015, proceedings / Battiato, Sebastiano [edit.]; et al.
Source (series)
Lecture notes in computer science ; 9386
ISSN
0302-9743
ISBN
978-3-319-25902-4
978-3-319-25903-1
ISI
000374794500043
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
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Handle