Early vision: from computational structure to algorithms and parallel hardware
Computer Vision, Graphics, and Image Processing
Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Weighted bicubic spline interpolation to rapidly varying data
ACM Transactions on Graphics (TOG)
Using disparity functional for stereo correspondence and surface reconstruction
Computer Vision, Graphics, and Image Processing
The Effect of Median Filtering on Edge Estimation and Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust regression and outlier detection
Robust regression and outlier detection
The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Flow Segmentation and Estimation by Constraint Line Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust computer vision: a least median of squares based approach
Proceedings of a workshop on Image understanding workshop
Scalar- and planar-valued curve fitting using splines under tension
Communications of the ACM
From Images to Surfaces: A Computational Study of the Human Early Visual System
From Images to Surfaces: A Computational Study of the Human Early Visual System
Numerical Methods
Computing Visible-Surface Representations
Computing Visible-Surface Representations
Dynamic Stereo with Self-Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
SUSAN—A New Approach to Low Level Image Processing
International Journal of Computer Vision
Robust Reweighted MAP Motion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bayesian Image Restoration: An Application to Edge-Preserving Surface Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
MINPRAN: A New Robust Estimator for Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object Articulation Based on Local 3D Motion Estimation
ECMAST '99 Proceedings of the 4th European Conference on Multimedia Applications, Services and Techniques
Constructing a dem from grid-based data by computing intermediate contours
GIS '03 Proceedings of the 11th ACM international symposium on Advances in geographic information systems
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Edge-Preserving Image Denoising and Estimation of Discontinuous Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new edge detector based on Fresnel diffraction
Pattern Recognition Letters
Image compression using plane fitting with inter-block prediction
Image and Vision Computing
Edge structure preserving image denoising
Signal Processing
A new algorithm to extract the lines and edges through orthogonal projections
Digital Signal Processing
Surface smoothing for enhancement of 3d data using curvature-based adaptive regularization
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Multiresolution terrain modeling using level curve information
Journal of Computational and Applied Mathematics
| Hi-index | 0.15 |
A two-stage algorithm for visual surface reconstruction from scattered data while preserving discontinuities is presented. The first stage consists of a robust local approximation algorithm (the moving least median of squares (MLMS) of error) to clean the data and create a grid from the original scattered data points. This process is discontinuity preserving. The second stage introduces a weighted bicubic spline (WBS) as a surface descriptor. The WBS has a factor in the regularizing term that adapts the behavior of the spline across discontinuities. The weighted bicubic approximating spline can approximate data with step discontinuities with no discernible distortion in the approximating surface. The combination of robust surface fitting and WBSs removes outliers and reduces Gaussian noise. Either stage by itself would not effectively remove both kinds of noise. Experimental results with the two-stage algorithm are presented.