On the bandlimitedness of the plenoptic function

Minh, N.; Marchand-Maillet, D.; Vetterli, Martin

doi:10.1109/icip.2005.1530317

Cited by 11 publications

(10 citation statements)

References 9 publications

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“…We see that the maximum frequency of the POF slice along the optical flow is much smaller compared with the one along the same pixel line, which confirms the advantage of depth-corrected interpolation in IBR. Using (12) and (32), and the surface depth and slope ranges for the curved-wall scene found in Section VI, we obtain estimates for the maximum frequency for these two slices of the POF as 3.2 and 0.6 Hz, respectively. These estimates closely characterize the function plots in Fig.…”

Section: Bandwidth Of Sheared Pofsmentioning

confidence: 99%

“…The corresponding derivative for the bandwidth expanding factor in (22) is the directional derivative of along line (31), with unit vector . Using (12) and (13), we obtain the derivative of in this direction as (32) Comparing in (32) to in (12), we see that, with a suitable choice of such as , the absolute value of the derivative of in direction is smaller than the one in direction (1, 0). Hence, according to (22), the bandwidth of the POF along optical flow line (31) is smaller than the bandwidth along the same pixel line .…”

Section: Bandwidth Of Sheared Pofsmentioning

confidence: 99%

“…Then, applying (12) and (13) to rule (26), we obtain the following estimates of the essential bandwidth of POF in dimensions and , denoted by essBW and essBW , respectively:…”

Section: Bandwidth Of the Pofsmentioning

confidence: 99%

“…In Section VII, we show that multidimensional spectral analysis of the sheared POF leads to a new interpretation of the effectiveness of depth-corrected interpolation in IBR. Some preliminary results of this paper were presented at a conference [12].…”

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confidence: 99%

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On the Bandwidth of the Plenoptic Function

Minh

Marchand-Maillet

Vetterli

2012

IEEE Trans. on Image Process.

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Abstract-The plenoptic function (POF) provides a powerful conceptual tool for describing a number of problems in image/video processing, vision, and graphics. For example, image-based rendering is shown as sampling and interpolation of the POF. In such applications, it is important to characterize the bandwidth of the POF. We study a simple but representative model of the scene where band-limited signals (e.g., texture images) are "painted" on smooth surfaces (e.g., of objects or walls). We show that, in general, the POF is not band limited unless the surfaces are flat. We then derive simple rules to estimate the essential bandwidth of the POF for this model. Our analysis reveals that, in addition to the maximum and minimum depths and the maximum frequency of painted signals, the bandwidth of the POF also depends on the maximum surface slope. With a unifying formalism based on multidimensional signal processing, we can verify several key results in POF processing, such as induced filtering in space and depth-corrected interpolation, and quantify the necessary sampling rates.

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Section: Bandwidth Of Sheared Pofsmentioning

confidence: 99%

Section: Bandwidth Of Sheared Pofsmentioning

confidence: 99%

“…Then, applying (12) and (13) to rule (26), we obtain the following estimates of the essential bandwidth of POF in dimensions and , denoted by essBW and essBW , respectively:…”

Section: Bandwidth Of the Pofsmentioning

confidence: 99%

mentioning

confidence: 99%

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On the Bandwidth of the Plenoptic Function

Minh

Marchand-Maillet

Vetterli

2012

IEEE Trans. on Image Process.

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“…Losing the angular information hampers 3D representation of the scene and substantial effort is required to recover the lost angular information. Plenoptic images are widely used in different applications from free view TV to image-based rendering [9,10]. The plenoptic images possess a promising feature of focusing after capture [11].…”

Section: Introductionmentioning

confidence: 99%

Plenoptic image watermarking to preserve copyright

Ansari

Dorado

Saavedra

et al. 2017

Three-Dimensional Imaging, Visualization, and Display 2017

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Common camera loses a huge amount of information obtainable from scene as it does not record the value of individual rays passing a point and it merely keeps the summation of intensities of all the rays passing a point. Plenoptic images can be exploited to provide a 3D representation of the scene and watermarking such images can be helpful to protect the ownership of these images. In this paper we propose a method for watermarking the plenoptic images to achieve this aim. The performance of the proposed method is validated by experimental results and a compromise is held between imperceptibility and robustness.

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The plenoptic spectrum analysis and reconstruction filter design for the occlusive scene

Zhou

Zhong

2016

Neurocomputing

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The spectral analysis of the plenoptic function is an intuitive way to acquire the sampling rate of the image-based rendering (IBR) data. In this paper, we present a new epipolar plane image (EPI) model to analyze the spectrum of the plenoptic function and derive the plenoptic spectrum of the occlusive scene. In particular, the spectrum is separated into two aspects. The main part of the spectrum is bounded by the minimum and maximum depths of the scene. The second part is the broadening area which is analyzed by modeling the EPI lines. Our analysis reveals that, the occlusion leads to the spectrum broadening, and the broadening range depends on the occluding depth difference, the size of the occluding object and the maximum frequency of the texture painted on the occluding object. Based on the spectrum analysis, a new Nyquist rate and the corresponding reconstruction filter are deduced for the occlusive scene. Experiments on both synthetic scenes and real scenes show that our sampling spacing and reconstruction filter outperform other methods.

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On the bandlimitedness of the plenoptic function

Cited by 11 publications

References 9 publications

On the Bandwidth of the Plenoptic Function

On the Bandwidth of the Plenoptic Function

Plenoptic image watermarking to preserve copyright

The plenoptic spectrum analysis and reconstruction filter design for the occlusive scene

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