Generating octree models of 3D objects from their silhouettes in a sequence of images
Computer Vision, Graphics, and Image Processing
Computational geometric methods in volumetric intersection for 3d reconstruction
Pattern Recognition
A probabilistic Hough transform
Pattern Recognition
Rapid octree construction from image sequences
CVGIP: Image Understanding
How Far 3D Shapes Can Be Understood from 2D Silhouettes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bias in Robust Estimation Caused by Discontinuities and Multiple Structures
IEEE Transactions on Pattern Analysis and Machine Intelligence
Guaranteed convergence of the Hough transform
Computer Vision and Image Understanding
Constrained Hough transforms for curve detection
Computer Vision and Image Understanding
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Using the generalized Radon transform for detection of curves in noisy images
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 04
Efficient Polyhedral Modeling from Silhouettes
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
The generalized Radon transform: Sampling, accuracy and memory considerations
Pattern Recognition
Smooth Kernel Density Estimate for Multiple View Reconstruction
CVMP '10 Proceedings of the 2010 Conference on Visual Media Production
Monte Carlo Statistical Methods
Monte Carlo Statistical Methods
Hough Transform from the Radon Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Volumetric Descriptions of Objects from Multiple Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized projection based M-estimator: Theory and applications
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
Simultaneously Fitting and Segmenting Multiple-Structure Data with Outliers
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient 3-D model search and retrieval using generalized 3-D radon transforms
IEEE Transactions on Multimedia
Fast curve estimation using preconditioned generalized Radon transform
IEEE Transactions on Image Processing
Fast Global Kernel Density Mode Seeking: Applications to Localization and Tracking
IEEE Transactions on Image Processing
Generalized Projection-Based M-Estimator
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bayesian 3D shape from silhouettes
Digital Signal Processing
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This paper introduces the generalised relaxed Radon transform (GR^2T) as an extension to the generalised radon transform (GRT) [1]. This new modelling allows us to define a new framework for robust inference. The resulting objective functions are probability density functions that can be chosen differentiable and that can be optimised using gradient methods. One of this cost function is already widely used in the forms of the Hough transform and generalised projection based M-estimator, and it is interpreted as a conditional density function on the latent variables of interest. In addition the joint density function of the latent variables is also proposed as a cost function and it has the advantage of including a prior about the latent variable. Several applications, including lines detection in images and volume reconstruction from silhouettes captured from multiple views, are presented to underline the versatility of this framework.