Presentation 2003/2/14
The MMSE Linear Camera Model and Its Application to 3D Shape Reconstruction Method
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The first part of this report proposes a linear camera model that generates images of the minimum mean squared error (MMSE) with respect to perspective projection images of a three-dimensional (3D) object. Error property of 2D images of the proposed camera model is compared to other camera models. In the second part of this report, we apply the proposed camera model to a iterative correction method for 3D shape reconstruction, and propose a more accurate shape reconstruction method within the framework of linearity. This method recursively composes a series of generalized inverse matrices (g-inverse) that starts with Moore-Penrose's g-inverse and recursively corrects reconstructed shape to achieve higher accuracy of 3D reconstruction. The authors have already proposed the same correction method for shape reconstruction by using weak perspective camera model, and have shown is validity. The present report shows that the proposed method can reconstruct more accurate 3D shapes.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) MMSE linear camera / Error weighting / Nonlinear distortion of perspective images / Iterative method / Thee-dimensional shape reconstruction
Paper # PRMU2002-219
Date of Issue

Conference Information
Committee PRMU
Conference Date 2003/2/14(1days)
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Place (in English)
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Paper Information
Registration To Pattern Recognition and Media Understanding (PRMU)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The MMSE Linear Camera Model and Its Application to 3D Shape Reconstruction Method
Sub Title (in English)
Keyword(1) MMSE linear camera
Keyword(2) Error weighting
Keyword(3) Nonlinear distortion of perspective images
Keyword(4) Iterative method
Keyword(5) Thee-dimensional shape reconstruction
1st Author's Name Hiroyasu SAKAMOTO
1st Author's Affiliation Kyushu Inst. Design()
2nd Author's Name Azusa KUWABARA
2nd Author's Affiliation Kyushu Inst. Design
Date 2003/2/14
Paper # PRMU2002-219
Volume (vol) vol.102
Number (no) 652
Page pp.pp.-
#Pages 6
Date of Issue