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
Fast multiplication of a recursive block toeplitz matrix by a vector and its application
Journal of Complexity
Measurement of Visual Motion
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
Coping with Discontinuities in Computer Vision: Their Detection, Classification, and Measurement
IEEE Transactions on Pattern Analysis and Machine Intelligence
Residual Analysis for Feature Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Viewpoint Invariant Recovery of Visual Surfaces from Sparse Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal Local Weighted Averaging Methods in Contour Smoothing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Approximate Energy Minimization via Graph Cuts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge Detection and Surface Reconstruction Using Refined Regularization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constructing Intrinsic Parameters with Active Models for Invariant Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Partial Smoothing Splines for Noisy +Boundaries with Corners
IEEE Transactions on Pattern Analysis and Machine Intelligence
Elastically Adaptive Deformable Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Algorithm for Energy Minimization with Discontinuities
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Optimal control of flow with discontinuities
Journal of Computational Physics
Biased anisotropic diffusion: a unified regularization and diffusion approach to edge detection
Image and Vision Computing
Computer Vision and Image Understanding
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Regularization is equivalent to fitting smoothing splines to the data so that efficient and reliable numerical algorithms exist for finding solutions. however, the results exhibit poor performance along edges and boundaries. To cope with such anomalies, a more general class of smoothing splines that preserve corners and discontinuities is studied. Cubic splines are investigated in detail, since they are easy to implement and produce smooth curves near all data points except those marked as discontinuities or creases. A discrete regularization method is introduced to locate corners and discontinuities in the data points before the continuous regularization is applied.