Synonyms
Related Concepts
Definition
Center of projection is a single 3D point in space where all the light rays sampled by a conventional pinhole camera intersect.
Background
Albrecht Dürer, a German artist, published a treatise on measurement using a series of illustrations of drawing frames and perspective machines. On the left side of Fig. 1, an apparatus for drawing a lute is shown. One end of a thread is attached to a pointer and the other end to a pulley on a wall. The thread also passes through a frame in between the lute and the pulley. When the pointer is fixed at different points on the lute, the vertical and horizontal coordinates of the thread, as it passes through the frame, are marked. By meticulously marking the coordinates for each point on the lute, the perspective image of the lute is created. It is obvious to see the intuition behind this setup, i.e., its similarity to a pinhole camera. The pulley is equivalent to the...
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Dürer A (1525) Underweysung der Messung (Instruction in measurement), Book with more than 150 woodcuts
Born M, Wolf E (1965) Principles of optics. Permagon, Oxford
Swaminathan R, Grossberg M, Nayar S (2003) A perspective on distortions. In: Conference on computer vision and pattern recognition (CVPR), Madison, vol 2, p 594
Bruce JW, Giblin PJ, Gibson CG (1981) On caustics of plane curves. Am Math Mon 88:651–667
Burkhard D, Shealy D (1973) Flux density for ray propagation in geometrical optics. J Opt Soc Am 63(2):299–304
Grossberg M, Nayar S (2001) A general imaging model and a method for finding its parameters. In: International conference on computer vision (ICCV), Vancouver, vol 2, pp 108–115
Neumann J, Fermüller C, Aloimonos Y (2003) Polydioptric camera design and 3d motion estimation. In: Conference on computer vision and pattern recognition (CVPR), Madison, vol 2, pp 294–301
Pajdla T (2002) Stereo with oblique cameras. Int J Comput Vis 47(1):161–170
Peleg S, Ben-Ezra M, Pritch Y (2001) Omnistereo: panoramic stereo imaging. IEEE Trans Pattern Anal Mach Intell 23:279–290
Pless R (2003) Using many cameras as one. In: Conference on computer vision and pattern recognition (CVPR), Madison, pp 587–594
Seitz S (2001) The space of all stereo images. In: International conference on computer vision (ICCV), Vancouver, vol 1, pp 26–33
Shum H, Kalai A, Seitz S (1999) Omnivergent stereo. In: International conference on computer vision (ICCV), Corfu, pp 22–29
Sturm P, Ramalingam S (2004) A generic concept for camera calibration. In: European conference on computer vision (ECCV), Prague, vol 2, pp 1–13
Ramalingam S, Sturm P, Lodha S (2005) Towards complete generic camera calibration. In: Conference on computer vision and pattern recognition (CVPR), San Diego
Wexler Y, Fitzgibbon A, Zisserman A (2003) Learning epipolar geometry from image sequences. In: Conference on computer vision and pattern recognition (CVPR), Madison, vol 2, pp 209–216
Wood D, Finkelstein A, Hughes J, Thayer C, Salesin D (1997) Multiperspective panoramas for cell animation. In: SIGGRAPH, Los Angeles, pp 243–250
Adelson E, Bergen J (1991) The plenoptic function and the elements of early vision. In: Computational models of visual processing, edited by Michael S. Landy and J. Anthony Movshon, MIT Press, Cambridge, MA, pp 3–20
Levoy M, Hanrahan P (1996) Light field rendering. In: SIGGRAPH, New Orleans, pp 31–42
Gortler S, Grzeszczuk R, Szeliski R, Cohen M (1996) The Lumigraph. In: SIGGRAPH, New Orleans, pp 43–54
Ramalingam S (2006) Generic imaging models: calibration and 3d reconstruction algorithms. PhD Thesis, INRIA Rhone Alpes
Ramalingam S, Sturm P, Lodha S (2006) Theory and calibration algorithms for axial cameras. In: ACCV, Hyderabad
Feldman D, Pajdla T, Weinshall D (2003) On the epipolar geometry of the crossed-slits projection. In: International conference on computer vision (ICCV), Nice
Gupta R, Hartley R (1997) Linear pushbroom cameras. In: IEEE transactions on pattern analysis and machine intelligence (PAMI) 19(9):963–975
Nayar S, Branzoi V, Boult T (2004) Programmable imaging using a digital micromirror array. In: International conference on computer vision and pattern recognition (CVPR), Washington, pp 436–443
Sturm P, Ramalingam S, Tardif JP, Gasparini S, Barreto J (2011) Camera models and fundamental concepts used in geometric computer vision. Found Trends Comp Gr Vis 6(1–2):1–183
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this entry
Cite this entry
Ramalingam, S. (2014). Center of Projection. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_458
Download citation
DOI: https://doi.org/10.1007/978-0-387-31439-6_458
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-30771-8
Online ISBN: 978-0-387-31439-6
eBook Packages: Computer ScienceReference Module Computer Science and Engineering