4.4.3 Scale Space Theory

Chapter Contents (Back)
Scale Space. Descriptions, Scale Space.

Stansfield, J.L.,
Conclusions from the Commodity Expert Project,
MIT AI Memo601, 1980. Referenced as the introduction of scale space concepts. BibRef 8000

Terzopoulos, D.,
Multiresolution Algorithms in Computational Vision,
IU84(225-262).
See also Computation of Visible-Surface Representations, The. BibRef 8400

Wu, L., and Xie, Z.,
Scaling Theorems for Zero-Crossings,
PAMI(12), No. 1, January 1990, pp. 46-54.
IEEE DOI BibRef 9001
Earlier:
On Fingerprint Theorems,
ICPR88(II: 1216-1220).
IEEE DOI BibRef

Yuille, A.L., and Poggio, T.A.,
Scaling and Fingerprint Theorems for Zero-Crossings,
ACV88(II 47-79). BibRef 8800

Yuille, A.L., and Poggio, T.A.,
Scaling Theorems for Zero-Crossings,
PAMI(8), No. 1, January 1986, pp. 15-25. BibRef 8601
And: IU87(147-174). BibRef
And: CVWS84(3-7). BibRef
And: MIT AI Memo-722, June 1983.
WWW Link.
See also Zero Crossings on Lines of Curvature. BibRef

Yuille, A.L., and Poggio, T.A.,
Fingerprint Theorems for Zero-Crossings,
JOSA-A(2), May 1985, pp. 683-692. BibRef 8505 MIT AI Memo-730, October 1983. BibRef
Earlier:
Fingerprints Theorems,
AAAI-84(362-365). Gaussian scale space. BibRef

Anh, V., Shi, J.Y., Tsui, H.T.,
Scaling Theorems for Zero Crossings of Band-Limited Signals,
PAMI(18), No. 3, March 1996, pp. 309-320.
IEEE DOI BibRef 9603

Uhr, L.,
Forms Structure Form at Ever 'Higher' and 'Lower' Levels,
VF91(565-581). BibRef 9100

Bischof, W.F.[Walter F.], Caelli, T.M.[Terry M.],
Parsing Scale-Space and Spatial Stability Analysis,
CVGIP(42), No. 2, May 1988, pp. 192-205.
Elsevier DOI Scale-space theory. BibRef 8805

Piech, M.A.[M. Ann],
Comments on Fingerprints of Two-Dimensional Edge Models,
CVGIP(42), No. 3, June 1988, pp. 381-386.
Elsevier DOI
See also Pulse and Staircase Edge Models. BibRef 8806

Jepson, A.D.[Allan D.], Fleet, D.J.[David J.],
Phase Singularities in Scale-Space,
IVC(9), No. 5, October 1991, pp. 338-343.
Elsevier DOI
HTML Version. BibRef 9110
Earlier:
Scale-Space Singularities,
ECCV90(50-55).
Springer DOI BibRef

Koenderink, J.J.,
A Hitherto Unnoticed Singularity of Scale-Space,
PAMI(11), No. 11, November 1989, pp. 1222-1224.
IEEE DOI BibRef 8911

Ranganath, S.,
Image Filtering Using Multiresolution Representations,
PAMI(13), No. 5, May 1991, pp. 426-440.
IEEE DOI BibRef 9105

Florack, L.M.J.[Luc M.J.], ter Haar Romeny, B.M.[Bart M.], Koenderink, J.J.[Jan J.], Viergever, M.A.[Max A.],
General Intensity Transformations and Differential Invariants,
JMIV(4), 1994, pp. 171-187. BibRef 9400

Florack, L.M.J.[Luc M.J.], ter Haar Romeny, B.M.[Bart M.], Koenderink, J.J.[Jan J.], Viergever, M.A.[Max A.],
Scale and the Differential Structure of Images,
IVC(10), No. 6, July-August 1992, pp. 376-388.
Elsevier DOI BibRef 9207

ter Haar Romeny, B.M.[Bart M.], Florack, L.M.J.[Luc M.J.], Salden, A.H.[Alfons H.], Viergever, M.A.[Max A.],
Higher order differential structure of images,
IVC(12), No. 6, July-August 1994, pp. 317-325.
Elsevier DOI 0401
Survey, Scale Space. Summarize the results of Koenderink and related work. BibRef

Salden, A.H., ter Haar Romeny, B.M., Florack, L.M.J., Viergever, M.A., Koenderink, J.J.,
A complete and irreducible set of local orthogonally invariant features of 2-dimensional images,
ICPR92(III:180-184).
IEEE DOI 9208
BibRef

Blom, J., ter Haar Romeny, B.M., Bel, A., Koenderink, J.J.,
Spatial Derivatives and the Propagation of Noise in Gaussian Scale Space,
JVCIR(4), 1993, pp. 1-13. BibRef 9300

Salden, A.H., ter Haar Romeny, B.M., Viergever, M.A.,
Differential and Integral Geometry of Linear Scale Spaces,
JMIV(9), No. 1, July 1998, pp. 5-27.
DOI Link 9807
BibRef

Salden, A.H., ter Haar Romeny, B.M., Viergever, M.A.,
Linear Scale-Space Theory from Physical Principles,
JMIV(9), No. 2, September 1998, pp. 103-139.
DOI Link 9811
BibRef

Florack, L.M.J., ter Haar Romeny, B.M., Koenderink, J.J., and Viergever, M.A.,
Linear Scale-Space,
JMIV(4), 1994, pp. 325-351. BibRef 9400

Florack, L.M.J.[Luc M.J.], Salden, A.H., ter Haar Romeny, B.M., Koenderink, J.J., Viergever, M.A.,
Nonlinear Scale-Space,
IVC(13), No. 4, May 1995, pp. 279-294.
Elsevier DOI BibRef 9505
And: GDDCV94(Chapter 11). Utrecht University. BibRef

Kuijper, A.[Arjan], Florack, L.M.J.[Luc M.J.], Viergever, M.A.[Max A.],
Scale Space Hierarchy,
JMIV(18), No. 2, March 2003, pp. 169-189.
DOI Link 0301
BibRef

Kuijper, A., Florack, L.M.J.,
The hierarchical structure of images,
IP(12), No. 9, September 2003, pp. 1067-1079.
IEEE DOI 0308
BibRef

Kuijper, A.[Arjan], Florack, L.M.J.[Luc M.J.],
The Relevance of Non-Generic Events in Scale Space Models,
IJCV(57), No. 1, April 2004, pp. 67-84.
DOI Link 0402
BibRef
Earlier: ECCV02(I: 190 ff.).
Springer DOI 0205
BibRef

Florack, L.M.J.[Luc M.J.], Kuijper, A.[Arjan],
The Topological Structure of Scale-Space Images,
JMIV(12), No. 1, January 2000, pp. 65-79.
DOI Link 0505
Critical points in the scale space and application of catastrophe theory. BibRef

Florack, L.M.J.[Luc M.J.],
Non-Linear Scale-Spaces Isomorphic to the Linear Case with Applications to Scalar, Vector and Multispectral Images,
IJCV(42), No. 1-2, April-May 2001, pp. 39-53.
DOI Link 0106
BibRef
And: JMIV(15), No. 1/2, July 2001, pp. 39-53.
DOI Link 0106
BibRef
Earlier:
Non-linear Scale-Spaces Isomorphic to the Linear Case,
SCIA99(Image Analysis II). BibRef

Florack, L.M.J.,
Scale-space theories for scalar and vector images,
ScaleSpace01(xx-yy). 0106
BibRef

Salden, A.H.[Alfons H.], ter Haar Romeny, B.M.[Bart M.], Viergever, M.A.[Max A.],
A Dynamic Scale-Space Paradigm,
JMIV(15), No. 3, November 2001, pp. 127-168.
DOI Link 0111
BibRef
Earlier:
Dynamic Scale-Space Theories,
ScaleSpace97(xx). 9702

PS File. BibRef
Earlier: A1 only: CIAP97(I: 158-165).
Springer DOI 9709
BibRef

Salden, A.H.[Alfons H.], ter Haar Romeny, B.M.[Bart M.], and Viergever, M.A.[Max A.],
Local and Multilocal Scale-Space Description,
MDSG94(661) BibRef 9400

Florack, L.M.J., ter Haar Romeny, B.M., Viergever, M.A., Koenderink, J.J.,
The Gaussian Scale-Space Paradigm and the Multiscale Local Jet,
IJCV(18), No. 1, April 1996, pp. 61-75.
Springer DOI 9605
BibRef

Florack, L.M.J., ter Haar Romeny, B.M., Koenderink, J.J., Viergever, M.A.,
Cartesian Differential Invariants in Scale-Space,
JMIV(3), 1993, pp. 327-348. BibRef 9300

Niessen, W.J., ter Haar Romeny, B.M., Florack, L.M.J., Viergever, M.A.,
A General Framework For Geometry-Driven Evolution-Equations,
IJCV(21), No. 3, February 1997, pp. 187-205.
DOI Link 9704
BibRef

Niessen, W.J.[Wiro J.], ter Haar Romeny, B.M.[Bart M.],
Numerical Analysis and Applications of Geometry-Driven Diffusion,
GDDCV94(393-410). Chapter 13. Utrecht University BibRef 9400

ter Haar Romeny, B.M., Florack, L.M.J., Koenderink, J.J., Viergever, M.A.,
Scale-Space: Its Natural Operators and Differential Invariants,
IPMedI92(239-255). Gaussian Scale space. BibRef 9200

Weickert, J., Ishikawa, S., Imiya, A.,
On the History of Gaussian Scale-Space Axiomatics,
GSST97(45-59). BibRef 9700

Weickert, J.[Joachim], ter Haar Romeny, B.M., Viergever, M.A.,
Conservative Image Transformations with Restoration and Scale-Space Properties,
ICIP96(I: 465-468).
IEEE DOI BibRef 9600

ter Haar Romeny, B.M., Niessen, W.J., Wilting, J., Florack, L.M.J.,
Differential structure of images: accuracy of representation,
ICIP94(I: 21-25).
IEEE DOI 9411
BibRef

Florack, L.M.J., ter Haar Romeny, B.M., Koenderink, J.J., Viergever, M.A.,
Families of Tuned Scale-Space Kernels,
ECCV92(19-23).
Springer DOI BibRef 9200

Niessen, W.J., Duncan, J.S., Nielsen, M., Florack, L.M.J., ter Haar Romeny, B.M., Viergever, M.A.,
Multiscale Approach to Image Sequence-Analysis,
CVIU(65), No. 2, February 1997, pp. 259-268.
DOI Link 9704
BibRef

Florack, L.M.J.[Luc M.J.], Maas, R.[Robert], Niessen, W.J.[Wiro J.],
Pseudo-Linear Scale-Space Theory,
IJCV(31), No. 2/3, April 1999, pp. 247-259.
DOI Link BibRef 9904

Sengupta, S., Sahasrabudhe, S.C.,
Scale-Space Displacement Of Zero-Crossings Of Del(2)G Operated Images For Convex-Bodies And Convex-Sets,
SP(47), No. 3, December 1995, pp. 279-285. BibRef 9512

Alter-Gartenberg, R.,
Multiresolution Imaging: An End-to-End Assessment,
JMIV(8), No. 1, January 1998, pp. 59-77.
DOI Link 9803
BibRef

Wang, Y.P.[Yu-Ping], Lee, S.L.,
Scale-Space Derived from B-splines,
PAMI(20), No. 10, October 1998, pp. 1040-1055.
IEEE DOI
HTML Version. And:
PS File. BibRef 9810

Alvarez, L.[Luis], Guichard, F.[Frederic], Lions, P.L.[Pierre-Louis], and Morel, J.M.[Jean-Michel],
Axioms and Fundamental Equations of Image Processing: Multiscale Analysis and P.D.E.,
Other JournalArchive for Rational Mechanics and Analysis, Vol. 16, No. 9, 1993, pp. 200-257. Multiscale analysis. BibRef 9300

Lopez, C., Morel, J.M.,
Axiomatization of shape analysis and application to texture hyperdiscrimination,
CVPR93(646-647).
IEEE DOI 0403
BibRef

Kalitzin, S.N.[Stiliyan N.], ter Haar Romeny, B.M., Salden, A.H.[Alfons H.], Nacken, P.F.M.[Peter F.M.], Viergever, M.A.[Max A.],
Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties,
JMIV(9), No. 3, November 1998, pp. 253-269.
DOI Link BibRef 9811

Topkar, V.A., Sood, A.K.,
Statistical analysis of scale-space,
SP(26), No. 3, 1992, pp. 307-334. BibRef 9200

Alvarez, L.[Luis], Morel, J.M.[Jean Michel],
Morphological Approach to Multiscale Analysis,
GDDCV94(Chapter 8). Las Palmas University and Paris University IX Dauphine. BibRef 9400

Alvarez, L.[Luis], Gousseau, Y.[Yann], Morel, J.M.[Jean-Michel],
Scales in natural images and a consequence on their BV norm,
ScaleSpace99(247-258). BibRef 9900

Weickert, J.[Joachim], Ishikawa, S.[Seiji], Imiya, A.[Atsushi],
Linear Scale-Space has First been Proposed in Japan,
JMIV(10), No. 3, May 1999, pp. 237-252.
DOI Link BibRef 9905

Sporring, J.[Jon], Weickert, J.A.,
Information Measures in Scale-Spaces,
IT(45), No. 3, 1999, pp. 1051-1058. BibRef 9900

Koenderink, J.J.[Jan J.], van Doorn, A.J.[Andrea J.],
Blur and Disorder,
JVCIR(11), No. 2, June 2000, pp. 237-244. 0008
BibRef
Earlier: ScaleSpace99(1-9). BibRef

Steenstrup Pedersen, K.[Kim], Nielsen, M.[Mads],
The Hausdorff Dimension and Scale-Space Normalization of Natural Images,
JVCIR(11), No. 2, June 2000, pp. 266-277. 0008
BibRef
Earlier:
The Hausdorff Dimension and Scale-Space Normalisation of Natural Images,
ScaleSpace99(271-282). BibRef

Pedersen, K.S.[Kim S.],
Properties of Brownian Image Models in Scale-Space,
ScaleSpace03(281-296).
Springer DOI 0310
BibRef

van Ginneken, B.[Bram], ter Haar Romeny, B.M.[Bart M.],
Applications of Locally Orderless Images,
JVCIR(11), No. 2, June 2000, pp. 196-208. 0008
BibRef
Earlier: ScaleSpace99(10-21). BibRef

van Ginneken, B.[Bram], ter Haar Romeny, B.M.[Bart M.],
Multi-scale texture classification from generalized locally orderless images,
PR(36), No. 4, April 2003, pp. 899-911.
Elsevier DOI 0304
BibRef

Koenderink, J.J.[Jan J.], van Doorn, A.J.[Andrea J.],
The Structure of Locally Orderless Images,
IJCV(31), No. 2/3, April 1999, pp. 159-168.
DOI Link
See also Generic Neighborhood Operators.
See also Local Structure of Movement Parallax of the Plane.
See also Shape of Smooth Objects and the Way Contours End, The.
See also Affine Structure from Motion. BibRef 9904

Koenderink, J.J.[Jan J.], van Doorn, A.J.[Andrea J.],
The Structure of Visual Spaces,
JMIV(31), No. 2-3, July 2008, pp. 171-187.
WWW Link. 0711
BibRef

Koenderink, J.J.[Jan J.], van Doorn, A.J.[Andrea J.],
Local Image Structure and Procrustes Metrics,
SIIMS(11), No. 1, 2018, pp. 293-324.
DOI Link 1804
BibRef

Johansen, P.[Peter], Nielsen, M.[Mads], Olsen, O.F.[Ole Fogh],
Branch Points in One-Dimensional Gaussian Scale Space,
JMIV(13), No. 3, December 2000, pp. 193-203.
DOI Link 0106
BibRef

Kerckhove, M.[Michael],
Guest Editorial: Special Issue on Scale-Space and Morphology,
IJCV(52), No. 2-3, May-June 2003, pp. 71-72.
DOI Link 0301
BibRef

Kuijper, A.[Arjan],
Mutual information aspects of scale space images,
PR(37), No. 12, December 2004, pp. 2361-2373.
Elsevier DOI 0409
BibRef
Earlier:
On Manifolds in Gaussian Scale Space,
ScaleSpace03(1-16).
Springer DOI 0310
BibRef

Duits, R.[Remco], Florack, L.M.J.[Luc M.J.], de Graaf, J.[Jan], ter Haar Romeny, B.M.[Bart M.],
On the Axioms of Scale Space Theory,
JMIV(20), No. 3, May 2004, pp. 267-298.
DOI Link 0409
BibRef

Zang, D.[Di], Sommer, G.[Gerald],
Detecting Intrinsically Two-Dimensional Image Structures Using Local Phase,
DAGM06(222-231).
Springer DOI 0610
BibRef
And:
The Monogenic Curvature Scale-Space,
IWCIA06(320-332).
Springer DOI 0606
BibRef
Earlier:
Phase Based Image Reconstruction in the Monogenic Scale Space,
DAGM04(171-178).
Springer DOI 0505
BibRef

Felsberg, M., Sommer, G.,
The Monogenic Scale-Space: A Unifying Approach to Phase-Based Image Processing in Scale-Space,
JMIV(21), No. 1, July 2004, pp. 5-26.
DOI Link 0409
BibRef

Felsberg, M.[Michael], Duits, R.[Remco], Florack, L.M.J.[Luc M.J.],
The Monogenic Scale Space on a Rectangular Domain and its Features,
IJCV(64), No. 2-3, September 2005, pp. 187-201.
Springer DOI 0510
BibRef
Earlier:
The Monogenic Scale Space on a Bounded Domain and Its Applications,
ScaleSpace03(209-224).
Springer DOI 0310

See also GET: The Connection Between Monogenic Scale-Space and Gaussian Derivatives. BibRef

Duits, R.[Remco], Felsberg, M.[Michael], Florack, L.M.J.[Luc M.J.], Platel, B.[Bram],
Alpha Scale Spaces on a Bounded Domain,
ScaleSpace03(494-510).
Springer DOI 0310
BibRef

Felsberg, M.[Michael],
Incremental Computation of Feature Hierarchies,
DAGM10(523-532).
Springer DOI 1009
BibRef

Felsberg, M.[Michael],
Spatio-Featural Scale-Space,
SSVM09(808-819).
Springer DOI 0906
BibRef

Duits, R.[Remco], Burgeth, B.[Bernhard],
Scale Spaces on Lie Groups,
SSVM07(300-312).
Springer DOI 0705
BibRef

Kimmel, R.[Ron], Sochen, N.A.[Nir A.], Weickert, J.[Joachim],
Special issue for the 5th International Conference on Scale-Space and PDE Methods in Computer Vision,
IJCV(70), No. 3, December 2006, pp. 195.
Springer DOI 0608
BibRef

Luo, B.[Bin], Aujol, J.F.[Jean-François], Gousseau, Y.[Yann], Ladjal, S., Maitre, H.,
Resolution-Independent Characteristic Scale Dedicated to Satellite Images,
IP(16), No. 10, October 2007, pp. 2503-2514.
IEEE DOI 0711
BibRef

Luo, B.[Bin], Aujol, J.F.[Jean-François], Gousseau, Y.[Yann],
Local Scale Measure for Remote Sensing Images,
SSVM09(856-867).
Springer DOI 0906
BibRef

Sakai, T.[Tomoya], Imiya, A.[Atsushi],
Gradient Structure of Image in Scale Space,
JMIV(28), No. 3, July 2007, pp. 243-257.
Springer DOI 0709
BibRef
Earlier: A2, A1:
Combinatorial Properties of Scale Space Singular Points,
IWCIA06(333-346).
Springer DOI 0606
BibRef

Imiya, A.[Atsushi], Sugiura, T.[Tateshi], Sakai, T.[Tomoya], Kato, Y.[Yuichiro],
Temporal Structure Tree in Digital Linear Scale Space,
ScaleSpace03(356-371).
Springer DOI 0310
BibRef

Freedman, D.[Daniel], Turek, M.W.[Matthew W.],
Graph cuts with many-pixel interactions: Theory and applications to shape modelling,
IVC(28), No. 3, March 2010, pp. 467-473.
Elsevier DOI 1001
BibRef
Earlier: A2, A1:
Multiscale Modeling and Constraints for Max-flow/Min-cut Problems in Computer Vision,
PercOrg06(180).
IEEE DOI 0609
Graph cuts, Shape modelling Formulate multiscale min-cut versions of interactive segmentation, image restoration, and optical flow. BibRef

Li, X.[Xin],
The Magic of Nonlocal Perona-Malik Diffusion,
SPLetters(18), No. 9, September 2011, pp. 533-534.
IEEE DOI 1108

See also Scale Space and Edge Detection using Anisotropic Diffusion. BibRef

Calderero, F., Caselles, V.,
Multiscale Analysis for Images on Riemannian Manifolds,
SIIMS(7), No. 2, 2014, pp. 1108-1170.
DOI Link 1407

See also Axioms and Fundamental Equations of Image Processing: Multiscale Analysis and P.D.E.. BibRef

Otero, I.R.[Ives Rey], Delbracio, M.[Mauricio],
Computing an Exact Gaussian Scale-Space,
IPOL(6), 2016, pp. 8-26.
DOI Link 1602
Code, Gaussian Convolution.
See also Scale-Space Theory in Computer Vision. BibRef

Saint-Dizier, A.[Alexandre], Delon, J.[Julie], Bouveyron, C.[Charles],
A Unified View on Patch Aggregation,
JMIV(62), No. 2, February 2020, pp. 149-168.
Springer DOI 2002

See also From learning models of natural image patches to whole image restoration. BibRef


Peter, P.[Pascal],
Quantisation Scale-spaces,
SSVM21(15-26).
Springer DOI 2106
BibRef

Zoran, D.[Daniel], Weiss, Y.[Yair],
From learning models of natural image patches to whole image restoration,
ICCV11(479-486).
IEEE DOI 1201
BibRef
Earlier:
Scale invariance and noise in natural images,
ICCV09(2209-2216).
IEEE DOI 0909
Eariler studies have reported the kurtosis of marginal bandpass filter response distributions to be constant throughout scales, but some issues. Variance due to noise. Code:
See also EPLL: An Image Denoising Method Using a Gaussian Mixture Model Learned on a Large Set of Patches. BibRef

Reddy, C.K.[Chandan K.], Park, J.H.[Jin-Hyeong],
Scale-Space Kernels for Additive Modeling,
SSPR08(714-723).
Springer DOI 0812
BibRef

Girdziušas, R.[Ramunas], Laaksonen, J.T.[Jorma T.],
When is a Discrete Diffusion a Scale-Space?,
ICCV07(1-6).
IEEE DOI 0710
BibRef
And:
How Marginal Likelihood Inference Unifies Entropy, Correlation and SNR-Based Stopping in Nonlinear Diffusion Scale-Spaces,
ACCV07(I: 811-820).
Springer DOI 0711
BibRef

Ghouti, L., Bouridane, A.,
Towards a Universal Multiresolution-Based Perceptual Model,
ICIP06(449-452).
IEEE DOI 0610
BibRef

Guo, C.E.[Cheng-En], Wu, Y.N.[Ying Nian], Zhu, S.C.[Song Chun],
Information Scaling Laws in Natural Scenes,
GenModel04(193).
IEEE DOI 0406
BibRef

Eaton, R.S.[Ross S.], Stevens, M.R.[Mark R.], McBride, J.C.[Jonah C.], Foil, G.T.[Greydon T.], Snorrason, M.S.[Magnus S.],
A Systems View of Scale Space,
CVS06(3).
IEEE DOI 0602
BibRef

Meine, H.[Hans],
Annotated Contraction Kernels for Interactive Image Segmentation,
GbRPR09(273-282).
Springer DOI 0905
BibRef

Meine, H.[Hans], Köthe, U.[Ullrich],
A New Sub-pixel Map for Image Analysis,
IWCIA06(116-130).
Springer DOI 0606
BibRef

Köthe, U.[Ullrich], Felsberg, M.[Michael],
Riesz-Transforms Versus Derivatives: On the Relationship Between the Boundary Tensor and the Energy Tensor,
ScaleSpace05(179-191).
Springer DOI 0505
BibRef

Felsberg, M.[Michael], Köthe, U.[Ullrich],
GET: The Connection Between Monogenic Scale-Space and Gaussian Derivatives,
ScaleSpace05(192-203).
Springer DOI 0505

See also Monogenic Scale Space on a Bounded Domain and Its Applications, The. BibRef

Bangham, J.A., Gibson, S.E., Harvey, R.W.,
The Art of Scale-Space,
BMVC03(xx-yy).
HTML Version. 0409
BibRef

Gibson, S.E., Bangham, J.A., Harvey, R.W.,
Evaluating colour morphological scale-spaces,
BMVC03(xx-yy).
HTML Version. 0409
BibRef

Lim, J.Y.[Ji-Young], Stiehl, H.S.[H. Siegfried],
A Generalized Discrete Scale-Space Formulation for 2-D and 3-D Signals,
ScaleSpace03(132-147).
Springer DOI 0310
BibRef

Craizer, M.[Marcos],
Evolution of the Critical Points in the Curvature and Affine Morphological Scale Spaces,
ScaleSpace03(523-536).
Springer DOI 0310
BibRef

Krueger, N., Felsberg, M.,
A continuous Formulation of intrinsic Dimension,
BMVC03(xx-yy).
HTML Version. 0409
BibRef

Felsberg, M.[Michael], Krüger, N.[Norbert],
A Probabilistic Definition of Intrinsic Dimensionality for Images,
DAGM03(140-147).
Springer DOI 0310
BibRef

Florack, L.M.J.[Luc M.J.], Duits, R.[Remco],
Regularity Classes for Locally Orderless Images,
ScaleSpace03(255-265).
Springer DOI 0310
BibRef

Hadjidemetriou, E., Grossberg, M.D., Nayar, S.K.,
Resolution Selection Using Generalized Entropies of Multiresolution Histograms,
ECCV02(I: 220 ff.).
Springer DOI 0205
BibRef

Frick, K.[Klaus], Scherzer, O.[Otmar],
Convex Inverse Scale Spaces,
SSVM07(313-325).
Springer DOI 0705
BibRef

Scherzer, O., Groetsch, C.W.,
Inverse scale-space theory for inverse problems,
ScaleSpace01(xx-yy). 0106
BibRef

Heijmans, H.J.A.M.,
Scale-spaces, PDE's, and scale invariance,
ScaleSpace01(xx-yy). 0106
BibRef

Sporring, J.,
Generalized Scale-selection,
ICIP00(Vol I: 920-923).
IEEE DOI 0008
BibRef

Froment, J.[Jacques],
A Compact and Multiscale Image Model Based on Level Sets,
ScaleSpace99(152-163). BibRef 9900

Koepfler, G., Moisan, L.,
Geometric Multiscale Representation of Numerical Images,
ScaleSpace99(339-350). BibRef 9900

Kichenassamy, S.[Satyanad],
The Perona-Malik Paradox,
SIAM_JAM(57), No. 5, 1997, pp. 1328-1342.
WWW Link. Shows the lack of a weak solution.
See also Scale Space and Edge Detection using Anisotropic Diffusion. BibRef 9700

Kichenassamy, S.[Satyanad],
The Perona-Malik Method as an Edge Pruning Algorithm,
JMIV(30), No. 2, February 2008, pp. 209-219.
Springer DOI 0801
BibRef

Weickert, J., and Benhamouda, B.,
A Semidiscrete Nonlinear Scale-Space Theory and Its Relation to the Perona-Malik Paradox,
ACV97(1-10).
See also Scale Space and Edge Detection using Anisotropic Diffusion. BibRef 9700

Kimmel, R.[Ron], Sochen, N.A., Malladi, R.,
From High Energy Physics to Low Level Vision,
ScaleSpace97(xx). 9702
BibRef

Cottet, G.H.[Georges-Henri], El-Ayyadi, M.[Mohamed],
Nonlinear PDE Operators with Memory Terms for Image Processing,
ICIP96(I: 481-483).
IEEE DOI BibRef 9600

Dibos, F.[Francoise],
Projective Invariant Multiscale Analysis,
ICIP96(I: 485-488).
IEEE DOI BibRef 9600

Jagersand, M.[Martin],
Saliency Maps and Attention Selection in Scale and Spatial Coordinates: An Information Theoretic Approach,
ICCV95(195-202).
IEEE DOI BibRef 9500

Vasselle, B., Giraudon, G., Berthod, M.,
Following Corners on Curves and Surfaces in the Scale Space,
ECCV94(A:109-114).
Springer DOI BibRef 9400

Vasselle, B., Giraudon, G.,
2-D digital curve analysis: A regularity measure,
ICCV93(556-561).
IEEE DOI 0403
BibRef

Falzon, F., Giraudon, G.,
Singularity Analysis and Derivative Scale-Space,
CVPR94(245-250).
IEEE DOI BibRef 9400

Falzon, F., Giraudon, G., Berthod, M.,
A Multiscale Analysis Model Applied to Natural Surfaces,
WACV92(146-153).
IEEE DOI BibRef 9200

Worring, M., Smeulders, A.W.M.,
Multi-Scale Analysis of Discrete Point Sets,
ICPR92(I:145-148).
IEEE DOI BibRef 9200

Nicholls, G.K., Petrou, M.,
On Multiresolution Image Restoration,
ICPR94(C:63-67).
IEEE DOI BibRef 9400

Nicholls, G.K., Petrou, M.,
A Generalisation of Renormalisation Group Methods for Multi Resolution Image Analysis,
ICPR92(I:567-570).
IEEE DOI BibRef 9200

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Scale Space -- Lindeberg References .


Last update:Mar 16, 2024 at 20:36:19