Shape Reconstruction of Object from an Image under a Point Light Source Illumination
Summary :
A new photometric method, which can reconstruct 3-D space coordinate (i.e.Z-distribution) of an object from one image under a point light source illumination, is proposed. The object is continuous convex with the perfectly diffused surface and the known uniform reflectance. To get the Z-distribution by solving the illuminating equation basing on the inverse square law for illuminance, an iterative algorithm has been developed. The tangent plane of the brightest surface element is firstly determined. The objective Z-distribution is finally obtained by iterating processes of calculating the Z-distribution treating the gradient distribution as constant. At each iteration step, the Z-distribution for the next step is determined from the present Z-distribution and the calculated Z-distribution which satisfies the illuminating equation, and the gradient distribution for the next step is calculated geometrically from the determined Z-distribution basing on the continuity of the surface. The usefulness of this method has been demonstrated by computer simulations.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E72-E No.7 pp.852-862
- Publication Date
- 1989/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Image Processing, Computer Graphics and Pattern Recognition
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Yuji IWAHORI, Hidezumi SUGIE, Hiroyuki KAMEI, Shoichiro YAMAGUCHI, "Shape Reconstruction of Object from an Image under a Point Light Source Illumination" in IEICE TRANSACTIONS on transactions,
vol. E72-E, no. 7, pp. 852-862, July 1989, doi: .
Abstract: A new photometric method, which can reconstruct 3-D space coordinate (i.e.Z-distribution) of an object from one image under a point light source illumination, is proposed. The object is continuous convex with the perfectly diffused surface and the known uniform reflectance. To get the Z-distribution by solving the illuminating equation basing on the inverse square law for illuminance, an iterative algorithm has been developed. The tangent plane of the brightest surface element is firstly determined. The objective Z-distribution is finally obtained by iterating processes of calculating the Z-distribution treating the gradient distribution as constant. At each iteration step, the Z-distribution for the next step is determined from the present Z-distribution and the calculated Z-distribution which satisfies the illuminating equation, and the gradient distribution for the next step is calculated geometrically from the determined Z-distribution basing on the continuity of the surface. The usefulness of this method has been demonstrated by computer simulations.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_7_852/_p
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@ARTICLE{e72-e_7_852,
author={Yuji IWAHORI, Hidezumi SUGIE, Hiroyuki KAMEI, Shoichiro YAMAGUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={Shape Reconstruction of Object from an Image under a Point Light Source Illumination},
year={1989},
volume={E72-E},
number={7},
pages={852-862},
abstract={A new photometric method, which can reconstruct 3-D space coordinate (i.e.Z-distribution) of an object from one image under a point light source illumination, is proposed. The object is continuous convex with the perfectly diffused surface and the known uniform reflectance. To get the Z-distribution by solving the illuminating equation basing on the inverse square law for illuminance, an iterative algorithm has been developed. The tangent plane of the brightest surface element is firstly determined. The objective Z-distribution is finally obtained by iterating processes of calculating the Z-distribution treating the gradient distribution as constant. At each iteration step, the Z-distribution for the next step is determined from the present Z-distribution and the calculated Z-distribution which satisfies the illuminating equation, and the gradient distribution for the next step is calculated geometrically from the determined Z-distribution basing on the continuity of the surface. The usefulness of this method has been demonstrated by computer simulations.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Shape Reconstruction of Object from an Image under a Point Light Source Illumination
T2 - IEICE TRANSACTIONS on transactions
SP - 852
EP - 862
AU - Yuji IWAHORI
AU - Hidezumi SUGIE
AU - Hiroyuki KAMEI
AU - Shoichiro YAMAGUCHI
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 7
JA - IEICE TRANSACTIONS on transactions
Y1 - July 1989
AB - A new photometric method, which can reconstruct 3-D space coordinate (i.e.Z-distribution) of an object from one image under a point light source illumination, is proposed. The object is continuous convex with the perfectly diffused surface and the known uniform reflectance. To get the Z-distribution by solving the illuminating equation basing on the inverse square law for illuminance, an iterative algorithm has been developed. The tangent plane of the brightest surface element is firstly determined. The objective Z-distribution is finally obtained by iterating processes of calculating the Z-distribution treating the gradient distribution as constant. At each iteration step, the Z-distribution for the next step is determined from the present Z-distribution and the calculated Z-distribution which satisfies the illuminating equation, and the gradient distribution for the next step is calculated geometrically from the determined Z-distribution basing on the continuity of the surface. The usefulness of this method has been demonstrated by computer simulations.
ER -
English
