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Fitting conic sections to "very scattered" data: An iterative refinement of the bookstein algorithm
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“We use FVD StyleGAN, FVD I3D, and FID for visual quality (Skorokhodov et al., 2021) and TSE and CSE (Sampson, 1982) for multi-view consistency.”
From World Simulation with Video Foundation Models for Physical AI (2025) · cites this paper as Sampson, 1982
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Research works printed but not linked: 2
- Golub, 1970, Stationary values of the ratio of quadratic forms subject to linear constraints, Z. Angew. Math. Phys., 21, 318, 10.1007/BF01627939 · DOI
- Ramsay, 1977, A comparative study of several robust estimates of slope, intercept, and scale in linear regression, J. Amer. Statist. Assoc., 72, 608, 10.2307/2286228 · DOI
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“In MEMS based be detected as the magnetic al magnetic field which stands verage of a particular location. liers in the system, least square hich deviate the error model to the real time samples.”
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“(9) as the minimal solver on 7-point subsets, drawn from P β , and define the consensus set by thresholding the Sampson Error [30, 43] on the rest of P β with a threshold τ SE .”
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“In 1991 Tau - bin [49] starting from the work of Sampson [47] turned the problem into a generalized eigensystem.”
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Diyazitdinov, R., & Vasin, N. (2020) · Optical Technologies for Telecommunications · doi:10.1117/12.2566306
“1 1 1 1 1 j j j j y x y x w v α α α α ; (12)”
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“An exa m ple of such a universal for m ula is given by the so-called Sa m pson’s distance [8], [9], [10], [11]: Here ∇ G stands for the gradient colu m n vector and (cid:9) · (cid:9) is the Euclidean nor m .”
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“A cost function based on the Sampson approximation for fundamental matrix presented in [15] [8] has been applied as ∑”
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“Now, suppose a conic surface is sensed by a laser line range sensor and the line range data can be fitted into an ellipse by using the algorithms discussed in [2, 6], we want to know the answer for the following question:”
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Estimating Vision Parameters given Data with Covariances
Chojnacki, W., Brooks, M. J., van den Hengel, A., & Gawley, D. (2000) · British Machine Vision Conference · doi:10.5244/c.14.19
Metadata
- Authors
- Sampson, P. D.
- Affiliations
- University of Chicago (US)
- Corresponding author
- Sampson, Paul D
- ORCID
- Sampson, Paul D
- Venue
- Computer Graphics and Image Processing
- Publisher
- Elsevier BV
- Published
- 1982-01
- Volume
- 18
- Issue
- 1
- Pages
- 97-108
- ISSN
- 0146-664X (ISSN-L)
- OpenAlex
- W2045181334
- Cited by
- 358
- References
- 0
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 9 · 2023: 8 · 2022: 1 · 2021: 8 · 2020: 7 · 2019: 11 · 2018: 7 · 2017: 8 · 2016: 10 · 2015: 10 · 2014: 14 · 2013: 14 · 2012: 11
- FWCI
- 2.35
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Computer Graphics and Image Processing (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Image and Object Detection Techniques
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Analysis Techniques
- Keywords
- iterative refinement, curve fitting, geometric interpretation, iteratively reweighted least squares
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