Robust Ellipsoid Fitting Using Combination of Axial and Sampson Distances

Han, Min; Kan, Jiangming; Yang, Gongping; Li, Xinghui

doi:10.1109/tim.2023.3315361

Cited by 4 publications

(4 citation statements)

References 45 publications

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“…The phases of the outer boundary pixels are employed for surface fitting, and the fitted surface serves as an interpolation for the phase-invalid regions. This process allows us to derive a valid fundamental-frequency phase denoted as

where a through e denote fitting parameters, typically estimated using the least squares method [ 33 , 34 ]. The estimation involves minimizing the following loss function L to obtain the best-fitting parameters:

where

represents the total number of

, and

denotes the image coordinates of the

pixel.…”

Section: Methodsmentioning

confidence: 99%

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Quaternary Categorization Strategy for Reconstructing High-Reflectivity Surface in Structured Light Illumination

Xu,

Qu,

et al. 2023

Sensors

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Structured light illumination is widely applied for surface defect detection due to its advantages in terms of speed, precision, and non-contact capabilities. However, the high reflectivity of metal surfaces often results in the loss of point clouds, thus reducing the measurement accuracy. In this paper, we propose a novel quaternary categorization strategy to address the high-reflectivity issue. Firstly, we classify the pixels into four types according to the phase map characteristics. Secondly, we apply tailored optimization and reconstruction strategies to each type of pixel. Finally, we fuse point clouds from multi-type pixels to accomplish precise measurements of high-reflectivity surfaces. Experimental results show that our strategy effectively reduces the high-reflectivity error when measuring metal surfaces and exhibits stronger robustness against noise compared to the conventional method.

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where

represents the total number of

, and

denotes the image coordinates of the

pixel.…”

Section: Methodsmentioning

confidence: 99%

“…where a through e denote fitting parameters, typically estimated using the least squares method [33,34]. The estimation involves minimizing the following loss function L to obtain the best-fitting parameters:…”

Section: Mpo Based On Phase Validity Detectionmentioning

confidence: 99%

Quaternary Categorization Strategy for Reconstructing High-Reflectivity Surface in Structured Light Illumination

Xu,

Qu,

et al. 2023

Sensors

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show abstract

“…where c(x p , y) represents the attenuation factor of the grayscale value that occurs when the position of point (x p , y) corresponds to the inclined calibration plane. According to the calculation method using the phase principal values, the phase principal values on the inclined calibration plane can also be obtained, and f and x skew can be substituted to obtain Equation (11):…”

Section: Basis Of the Phase-angle Modelmentioning

confidence: 99%

“…Over the years, it has gained significant attention due to its high-accuracy [ 1 , 2 ], high-speed [ 3 , 4 ], and high-resolution [ 5 , 6 ] capabilities, enabling the accurate measurement of 3D shapes and surface topography. This technology has been widely applied in industrial measurement [ 7 ], cultural relic protection [ 8 ], surgical medicine [ 9 ], artificial intelligence [ 10 ], and other fields [ 11 , 12 ]. Its implementation process mainly consists of the following steps: the projector projects regular sinusoidal fringe patterns; then, the camera captures the modulated fringe patterns, and after phase calculation, 3D reconstruction is achieved with the help of system calibration parameters [ 13 ].…”

Section: Introductionmentioning

confidence: 99%

Use of Phase-Angle Model for Full-Field 3D Reconstruction under Efficient Local Calibration

Lei,

Ma,

2024

Sensors

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Currently, 3D reconstruction methods in structured light are generally implemented in a pre-calibrated area. To realize a full-field reconstruction, the calibration plate can be moved to multiple positions in a time-consuming manner, or the whole field can be calibrated with the help of a large calibration plate, which is more costly. In this paper, we address this problem by proposing a method for obtaining a global phase-angle model under a locally calibrated region, and based on this relationship, we investigate and analyze the reconstruction inside and outside of the calibrated zone. The results show that the method can reconstruct the object outside of the calibration zone completely, and can keep the planarity error around 0.1 mm and the sphericity error below 0.06 mm. The method only requires local calibration of the projected fringes at the two calibration positions to realize the 3D reconstruction of the full-field, which makes the method more advantageous.

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Internal–External Layered Phase Shifting for Phase Retrieval

Han,

Shi,

et al. 2024

IEEE Trans. Instrum. Meas.

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Robust Ellipsoid Fitting Using Combination of Axial and Sampson Distances

Cited by 4 publications

References 45 publications

Quaternary Categorization Strategy for Reconstructing High-Reflectivity Surface in Structured Light Illumination

Quaternary Categorization Strategy for Reconstructing High-Reflectivity Surface in Structured Light Illumination

Use of Phase-Angle Model for Full-Field 3D Reconstruction under Efficient Local Calibration

Internal–External Layered Phase Shifting for Phase Retrieval

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