Representing Edge Models via Local Principal Component Analysis

[1]  Deformable Kernels for Early Vision , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Steven W. Zucker,et al.  Folds and cuts: how shading flows into edges , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[3]  T. Poggio,et al.  Visual hyperacuity: spatiotemporal interpolation in human vision , 1981, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[4]  Manfred H. Hueckel.  An Operator Which Locates Edges in Digitized Pictures , 1971, J. ACM.

[5]  Fredrik Bergholm,et al.  Edge Focusing , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  F. Girosi,et al.  Networks for approximation and learning , 1990, Proc. IEEE.

[7]  Alex Pentland,et al.  A New Sense for Depth of Field , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Owen Robert Mitchell,et al.  Edge Location to Subpixel Values in Digital Imagery , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Andrew P. Within.  Intensity-based edge classification , 1982, AAAI 1982.

[10]  H. Shouval,et al.  Localized principal components of natural images-an analytic solution , 1994 .

[11]  Harry Wechsler,et al.  Edge detection by associative mapping , 1989, Pattern Recognit..

[12]  James L. Crowley,et al.  Continuity properties of the appearance manifold for mobile robot position estimation , 2001, Image Vis. Comput..

[13]  William H. Press,et al.  Numerical Recipes in C, 2nd Edition , 1992 .

[14]  Josef Kittler,et al.  Optimal Edge Detectors for Ramp Edges , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  David G. Lowe,et al.  Perceptual Organization and Visual Recognition , 2012 .

[16]  Teuvo Kohonen,et al.  Self-Organizing Maps , 2010 .

[17]  David J. Field,et al.  Sparse coding with an overcomplete basis set: A strategy employed by V1? , 1997, Vision Research.

[18]  Marcel Worring,et al.  Digital curvature estimation , 1993 .

[19]  Andrew P. Witkin,et al.  Intensity-Based Edge Classification , 1982, AAAI.

[20]  Reiner Lenz,et al.  Group Theoretical Methods in Image Processing , 1990, Lecture Notes in Computer Science.

[21]  Berthold K. P. Horn.  Understanding Image Intensities , 1977, Artif. Intell..

[22]  Richard S. H. Mah,et al.  Some theoretical results on nonlinear principal components analysis , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[23]  Karl Rohr,et al.  On the Precision in Estimating the Location of Edges and Corners , 2004, Journal of Mathematical Imaging and Vision.

[24]  Stephen M. Omohundro,et al.  Nonlinear manifold learning for visual speech recognition , 1995, Proceedings of IEEE International Conference on Computer Vision.

[25]  Yacov Hel-Or,et al.  Canonical Decomposition of Steerable Functions , 2004, Journal of Mathematical Imaging and Vision.

[26]  Larry S. Davis,et al.  Subpixel edge estimation , 1983, Pattern Recognit..

[27]  Keinosuke Fukunaga,et al.  An Algorithm for Finding Intrinsic Dimensionality of Data , 1971, IEEE Transactions on Computers.

[28]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[29]  Robert M. Gray,et al.  An Algorithm for Vector Quantizer Design , 1980, IEEE Trans. Commun..

[30]  Leslie S. Smith,et al.  The principal components of natural images , 1992 .

[31]  Herman P. Snippe,et al.  Parameter Extraction from Population Codes: A Critical Assessment , 1996, Neural Computation.

[32]  Alfred O. Hero,et al.  On Achievable Accuracy in Edge Localization , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[33]  Jitendra Malik,et al.  Detecting and localizing edges composed of steps, peaks and roofs , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[34]  Edward H. Adelson,et al.  Shiftable multiscale transforms , 1992, IEEE Trans. Inf. Theory.

[35]  M. Kramer.  Nonlinear principal component analysis using autoassociative neural networks , 1991 .

[36]  Thomas O. Binford,et al.  On Detecting Edges , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[37]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[38]  Dario Maio,et al.  Multispace KL for Pattern Representation and Classification , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[39]  Demetri Terzopoulos,et al.  Snakes: Active contour models , 2004, International Journal of Computer Vision.

[40]  Edward H. Adelson,et al.  The Design and Use of Steerable Filters , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[41]  Robert A. Hummel,et al.  Feature detection using basis functions , 1979 .

[42]  Gérard G. Medioni,et al.  Detection of Intensity Changes with Subpixel Accuracy Using Laplacian-Gaussian Masks , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[43]  Tomaso A. Poggio,et al.  On Edge Detection , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[44]  David J. Kriegman,et al.  What is the set of images of an object under all possible lighting conditions? , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[45]  Calyampudi R. Rao,et al.  Chapter 3: Differential and Integral Geometry in Statistical Inference , 1987 .

[46]  Rachid Deriche,et al.  Recovering and characterizing image features using an efficient model based approach , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[47]  S. Zucker,et al.  Endstopped neurons in the visual cortex as a substrate for calculating curvature , 1987, Nature.

[48]  Lucas J. van Vliet,et al.  On the Location Error of Curved Edges in Low-Pass Filtered 2-D and 3-D Images , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[49]  H. Barrow,et al.  RECOVERING INTRINSIC SCENE CHARACTERISTICS FROM IMAGES , 1978 .

[50]  Azriel Rosenfeld,et al.  Maximum-likelihood edge detection in digital signals , 1992, CVGIP Image Underst..

[51]  E. Hancock,et al.  GABOR POPULATION CODES FOR ORIENTATION SELECTION , 2001 .

[52]  Gérard G. Medioni,et al.  Refining edges detected by a LoG operator , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[53]  W. Lunscher,et al.  Optimal Edge Detector Design I: Parameter Selection and Noise Effects , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[54]  Jan J. Koenderink,et al.  Two-dimensional curvature operators , 1988 .

[55]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[56]  Allen R. Hanson,et al.  Computer Vision Systems , 1978 .

[57]  Terrence J. Sejnowski,et al.  The “independent components” of natural scenes are edge filters , 1997, Vision Research.

[58]  William H. Press,et al.  Numerical recipes in C , 2002 .

[59]  Tony Lindeberg,et al.  Edge Detection and Ridge Detection with Automatic Scale Selection , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[60]  Ronen Basri,et al.  Clustering appearances of 3D objects , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[61]  Steven W. Zucker,et al.  Finding folds: on the appearance and identification of occlusion , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[62]  J J Koenderink,et al.  What Does the Occluding Contour Tell Us about Solid Shape? , 1984, Perception.

[63]  Simon Baker.  On the Parameter Estimation Accuracy of Model-Matching Feature Detectors , 1997 .

[64]  Robyn A. Owens,et al.  Feature detection from local energy , 1987, Pattern Recognit. Lett..

[65]  Edwin R. Hancock,et al.  Population codes for orientation estimation , 2000, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000.

[66]  Josef Kittler,et al.  Pattern recognition : a statistical approach , 1982 .

[67]  Hiroshi Murase,et al.  Parametric Feature Detection , 1996, International Journal of Computer Vision.

[68]  Gerald Sommer,et al.  A Lie group approach to steerable filters , 1995, Pattern Recognit. Lett..

[69]  D. Mintz.  Robust consensus based edge detection , 1994 .

[70]  Steven W. Zucker,et al.  Local Scale Control for Edge Detection and Blur Estimation , 1996, ECCV.

[71]  Gerald Sommer,et al.  Intrinsic Dimensionality Estimation With Optimally Topology Preserving Maps , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[72]  H. Piaggio.  Differential Geometry of Curves and Surfaces , 1952, Nature.

[73]  Nanda Kambhatla,et al.  Dimension Reduction by Local Principal Component Analysis , 1997, Neural Computation.

[74]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.