TY - GEN
T1 - A closed-form expression for the bandwidth of the plenoptic function under finite field of view constraints
AU - Gilliam, Christopher
AU - Dragotti, Pier Luigi
AU - Brookes, Mike
PY - 2010
Y1 - 2010
N2 - The plenoptic function enables Image-based rendering (IBR) to be viewed in terms of sampling and reconstruction. Thus the spatial sampling rate can be determined through spectral analysis of the plenoptic function. In this paper we examine the bandwidth of the plenoptic function when both the field of view and the scene width are finite. This analysis is carried out on two planar Lambertian scenes, a fronto-parallel plane and a slanted plane, and in both cases the texture is bandlimited. We derive an exact closed-form expression for the plenoptic spectrum of a slanted plane with sinusoidal texture. We show that in both cases the finite constraints lead to band-unlimited spectra. By determining the essential bandwidth, we derive a sampling curve that gives an adequate camera spacing for a given distance between the scene and the camera line.
AB - The plenoptic function enables Image-based rendering (IBR) to be viewed in terms of sampling and reconstruction. Thus the spatial sampling rate can be determined through spectral analysis of the plenoptic function. In this paper we examine the bandwidth of the plenoptic function when both the field of view and the scene width are finite. This analysis is carried out on two planar Lambertian scenes, a fronto-parallel plane and a slanted plane, and in both cases the texture is bandlimited. We derive an exact closed-form expression for the plenoptic spectrum of a slanted plane with sinusoidal texture. We show that in both cases the finite constraints lead to band-unlimited spectra. By determining the essential bandwidth, we derive a sampling curve that gives an adequate camera spacing for a given distance between the scene and the camera line.
KW - Bandwidth
KW - Image-based rendering
KW - Plenoptic function
KW - Sampling
KW - Spectral analysis
UR - http://www.scopus.com/inward/record.url?scp=78651109808&partnerID=8YFLogxK
U2 - 10.1109/ICIP.2010.5650038
DO - 10.1109/ICIP.2010.5650038
M3 - Conference contribution
AN - SCOPUS:78651109808
SN - 9781424479948
T3 - Proceedings - International Conference on Image Processing, ICIP
SP - 3965
EP - 3968
BT - 2010 IEEE International Conference on Image Processing, ICIP 2010 - Proceedings
T2 - 2010 17th IEEE International Conference on Image Processing, ICIP 2010
Y2 - 26 September 2010 through 29 September 2010
ER -