Ellipse Fitting with Hyperaccuracy(Image Recognition, Computer Vision)
スポンサーリンク
概要
- 論文の詳細を見る
For fitting an ellipse to a point sequence, ML (maximum likelihood) has been regarded as having the highest accuracy. In this paper, we demonstrate the existence of a "hyperaccurate" method which outperforms ML. This is made possible by error analysis of ML followed by subtraction of high-order bias terms. Since ML nearly achieves the theoretical accuracy bound (the KCR lower bound), the resulting improvement is very small. Nevertheless, our analysis has theoretical significance, illuminating the relationship between ML and the KCR lower bound.
- 社団法人電子情報通信学会の論文
- 2006-10-01
著者
関連論文
- Geometric BIC
- Uncalibrated Factorization Using a Variable Symmetric Affine Camera(Image Recognition, Computer Vision)
- Statistical Optimization for 3-D Reconstruction from a Single View(Image Recognition and Understanding)
- Do We Really Have to Consider Covariance Matrices for Image Feature Points?
- Optimal Conic Fitting and Reliability Evaluation
- Infinity and Planarity Test for Stereo Vision
- Direct Reconstruction of Planar Surfaces by Stereo Vision
- Reliability of Fitting a Plane to Range Data
- Optimal Line Fitting and Reliability Evaluation
- Optimizing a Triangular Mesh for Shape Reconstruction from Images(Image Recognition and Understanding)
- Outlier Removal for Motion Tracking by Subspace Separation
- Extending Interrupted Feature Point Tracking for 3-D Affine Reconstruction(Image Recognition, Computer Vision)
- Optimization without Minimization Search : Constraint Satisfaction by Orthogonal Projection with Applications to Multiview Triangulation
- Multi-Stage Unsupervised Learning for Multi-Body Motion Segmentation(Image Recognition, Computer Vision)
- Reliability of 3-D Reconstruction by Stereo Vision
- High Accuracy Fundamental Matrix Computation and Its Performance Evaluation(Image Recognition, Computer Vision)
- Ellipse Fitting with Hyperaccuracy(Image Recognition, Computer Vision)
- Renormalization for Motion Analysis: Statistically Optimal Algorithm (Special Issue on Computer Vision)
- Optimal Structure-from-Motion Algorithm for Optical Flow
- Optimal grid pattern for focal length calibration
- Hyperaccurate Correction of Maximum Likelihood for Geometric Estimation
- Hyperaccurate Correction of Maximum Likelihood for Geometric Estimation
- Optimal Robot Self-Localization and Accuracy Bounds