On Achievable Accuracy in Edge Localization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cramer-Rao lower bounds for estimation of a circular arc center and its radius
Graphical Models and Image Processing
On the Precision in Estimating the Location of Edges and Corners
Journal of Mathematical Imaging and Vision
Model-Based Detection and Localization of Circular Landmarksin Aerial Images
International Journal of Computer Vision
High accuracy tracking of 2D/3D curved line-structures by consecutive cross-section matching
Pattern Recognition Letters
Cramer-Rao lower bounds for curve fitting
Graphical Models and Image Processing
Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise
A review of vessel extraction techniques and algorithms
ACM Computing Surveys (CSUR)
Correction for the Dislocation of Curved Surfaces Caused by the PSF in 2D and 3D CT Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Limits on estimating the width of thin tubular structures in 3d images
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Fundamental limits in 3d landmark localization
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Segmentation of thin structures in volumetric medical images
IEEE Transactions on Image Processing
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In this work we derive analytic lower bounds for estimating the position and width of 3D tubular structures. Based on a continuous image model comprising blur and noise introduced by an imaging system we analyze three different intensity models of 3D tubular structures with increasing complexity. The derived formulas indicate that quantification of 3D tubular structures can be performed with very high precision under certain assumptions. We also determine conditions under which the model parameters are coupled or uncoupled. For uncoupled parameters the lower bounds are independent of prior knowledge about other parameters, and the derivation of the bounds is simplified. The theoretical results are substantiated by experimental investigations based on discretized and quantized 3D image data. Moreover, we study limits on estimating the width of thin tubular structures in 3D images. We use the derived lower bound of the width estimate as a benchmark and compare it with three previously proposed accuracy limits for vessel width estimation.