4.4 Scale Space and Multi-Scale Techniques

4.4.1 Scale Space for Descriptions

Witkin, A.P.[Andrew P.],
Scale Space Filtering: A New Approach to Multi-Scale Descriptions,
IU84(79-95). BibRef 8400
And:
Scale-Space Filtering,
IJCAI83(1019-1022). Reprinted in BibRef RCV87(329-332). Award, IJCAI. (Award winner at IJCAI for the best paper.) Filter at different resolutions and use the data from all the levels. Introduced scale space to vision. BibRef

Saund, E.,
Symbolic Construction of a 2-D Scale-Space Image,
PAMI(12), No. 8, August 1990, pp. 817-830.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9008
Earlier: MIT AI Memo-1028, April 1988, BibRef
Earlier:
Adding Scale to the Primal Sketch,
CVPR89(70-78).
IEEE Abstract. IEEE Top Reference. Generate a set of line segments at different resolutions (Scale-Space). Apply grouping techniques. BibRef

Hummel, R.,
The Scale-Space Formulation of Pyramid Data Structures,
PCV88(107-123). BibRef 8800

Dyer, C.R.,
Multiscale Image Understanding,
PCV88(171-213). BibRef 8800

Unser, M., and Eden, M.,
The L-(2) Polynomial Spline Pyramid,
PAMI(15), No. 4, April 1993, pp. 364-379.
IEEE Abstract. IEEE Top Reference.
WWW Version. Representation, Pyramid. BibRef 9304

Dron, L.[Lisa],
The Multiscale Veto Model: A 2-Stage Analog Network for Edge-Detection and Image-Reconstruction,
IJCV(11), No. 1, August 1993, pp. 45-61.
Springer DOI Link BibRef 9308

Bookstein, F.L., Green, W.D.K.,
A Feature Space for Edgels in Images with Landmarks,
JMIV(3), No. 4, 1993, pp. 231-261. BibRef 9300

Johansen, P.,
On the Classification of Top Points in Scale Space,
JMIV(4), 1994, pp. 57-67. BibRef 9400

Ray, B.K., Ray, K.S.,
A New Approach to Scale-Space Image,
PRL(15), No. 4, April 1994, pp. 365-372. BibRef 9404

Pei, S.C.[Soo-Chang], Chen, F.C.[Fei-Chin],
3-D spatiotemporal subband decompositions for hierarchical compatible video coding by mathematical morphology,
SP:IC(6), No. 1, March 1994, pp. 83-99.
WWW Version. 0001
Subband decomposition; Video coding; Morphological filtering BibRef

Pei, S.C.[Soo-Chang], Chen, F.C.[Fei-Chin],
Hierarchical Image Representation by Mathematical Morphology Sub-Band Decomposition,
PRL(16), No. 2, February 1995, pp. 183-192. BibRef 9502

Bijaoui, A., Rue, F.,
A Multiscale Vision Model Adapted to the Astronomical Images,
SP(46), No. 3, October 1995, pp. 345-362. BibRef 9510

Ahuja, N.,
On Detection and Representation of Multiscale Low-Level Image Structure,
Surveys(27), No. 3, September 1995, pp. 304-306. Survey, Scale-Space. BibRef 9509

Zucker, S.W.,
Complexity and Confusion in Computational Vision,
SCIA99(Invited Talk). BibRef 9900

Zucker, S.W.[Steven W.],
Structural Scales in Computational Vision,
AIU96(130-141). BibRef 9600

Soille, P., and Rivest, J.F.,
On the Validity of Fractal Dimension Measurements in Image Analysis,
JVCIR(7), 1996, pp. 217-229. BibRef 9600

Rivest, J.F., Serra, J., Soille, P.,
Dimensionality in Image Analysis,
JVCIR(3), 1992, pp. 137-146. BibRef 9200

Dudek, G.[Gregory],
Shape Description and Classification Using the Interrelationship of Structures at Multiple Scales,
MDSG94(473-492). BibRef 9400
And:
Shape Metrics from Curvature-Scale Space and Curvature-Tuned Smoothing,
SPIE(1570), 1991, pp. 75-85. BibRef

Hong, L., Cao, J., Chen, G.R.,
A Multiresolutional Approach to 3D Object Recognition,
CSSP(16), No. 2, 1997, pp. 217-239. 9703
BibRef

Griffin, L.D.,
Scale-Imprecision Space,
IVC(15), No. 5, May 1997, pp. 369-398.
WWW Version. 9706
BibRef

Cong, G., Ma, S.D.,
Dyadic Scale-Space,
PR(30), No. 2, February 1997, pp. 339-352. 9704
BibRef
Earlier:
WWW Version. ICPR96(II: 399-402).
IEEE DOI Link 9608
(Chinese Academy of Sciences, PRC) BibRef

Cong, G., Ma, S.D.,
Corner Enhancement in Curvature Scale Space,
PR(31), No. 10, October 1998, pp. 1491-1501.
WWW Version. 9808
BibRef

Guichard, F.,
A Morphological, Affine, and Galilean Invariant Scale-Space for Movies,
IP(7), No. 3, March 1998, pp. 444-456.
IEEE DOI Link 9803
BibRef

Solina, F., Leonardis, A.,
Proper Scale for Modeling Visual Data,
IVC(16), No. 2, February 20 1998, pp. 89-98.
WWW Version. 9803
BibRef

Chellappa, R., Girod, B., Munson, D.C., Tekalp, M., Vetterli, M.,
The Past, Present, and Future of Image and Multidimensional Signal-Processing,
SPMag(15), No. 2, March 1998, pp. 21-58. 9804
BibRef

Fdez Valdivia, J., Garcia, J.A., Martinez Baena, J., Fdez Vidal, X.R.[Xose R.],
The Selection of Natural Scales in 2D Images Using Adaptive Gabor Filtering,
PAMI(20), No. 5, May 1998, pp. 458-469.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9806
BibRef

Martinez Baena, J., Garcia, J.A., Fdez Valdivia, J., Rodriguez Sanchez, R.,
Scale Selection Using 3 Different Representations For Images,
PRL(18), No. 14, December 1997, pp. 1453-1467. 9806
BibRef

Garcia, J.A., Fdez Valdivia, J., Martinez Baena, J.,
Scale Selection Using Three Different Representations for Images,
ScaleSpace97(xx). 9702
BibRef

Combettes, P.L.[Patrick L.],
Convex Set-Theoretic Image Recovery by Extrapolated Iterations of Parallel Subgradient Projections,
IP(6), No. 4, April 1997, pp. 493-506.
IEEE DOI Link 9704
BibRef
Earlier:
Generalized convex set theoretic image recovery,
ICIP96(II: 453-456).
IEEE DOI Link BibRef
Earlier:
Convex set theoretic image recovery via chaotic iterations of approximate projections,
ICIP94(III: 182-186).
IEEE DOI Link 9411
BibRef

Combettes, P.L.,
Convex Set Theoretic Image Recovery with Inexact Projection Algorithms,
ICIP01(I: 257-260).
IEEE Abstract. IEEE Top Reference. 0108
BibRef

Combettes, P.L.[Patrick L.],
On the Numerical Robustness of the Parallel Projection Method in Signal Synthesis,
SPLetters(8), No. 2, February 2001, pp. 45-47.
IEEE Top Reference. 0101
BibRef
Earlier:
A Surrogate Projection Method for the Constrained Minimization of Residual Energy in Image Restoration,
ICIP99(25PO4). Not in proceedings. BibRef

Combettes, P.L.[Patrick L.], Pesquet, J.C.,
Convex Multiresolution Analysis,
PAMI(20), No. 12, December 1998, pp. 1308-1318.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9812
Earlier:
Nonlinear multiresolution image analysis via convex projections,
ICIP98(II: 762-765).
IEEE DOI Link 9810
Extension of wavelet analysis. BibRef

Tapamo, J.R.[Jules-Raymond],
Multi-Scale Image Analysis by Pyramidal Algorithms,
JMIV(10), No. 1, January 1999, pp. 87-95.
WWW Version. BibRef 9901

García Salinas, M.J.[María José], Gomez Lopera, J.F.[Juan Francisco], Luque Escamilla, P.L.[Pedro Luis], Martinez Aroza, J.[José], Román Roldán, R.[Ramón], Segura Luna, J.C.[J. Carlos],
Empirical multiresolution models applicable to gray-level image processing,
SP:IC(11), No. 2, December 1997, pp. 83-93.
WWW Version. BibRef 9712

Chen, C.C.[Chi-Chyang], Wang, C.D.[Chiou-Dong],
A simple edge-preserving filtering technique for constructing multi-resolution systems of images,
PRL(20), No. 5, May 1999, pp. 495-506. 9912
BibRef

Faugeras, O.D.[Olivier D.], Nielsen, M.[Mads], Perona, P.[Pietro], ter Haar Romeny, B.M.[Bart M.], Sapiro, G.[Guillermo],
Special Issue on the Second International Conference on Scale Space Theory in Computer Vision, Guest Editors' Comments,
JVCIR(11), No. 2, June 2000, pp. 95-95. 0008
BibRef

Goutsias, J., Heijmans, H.J.A.M.,
Nonlinear Multiresolution Signal Decomposition Schemes--Part I: Morphological Pyramids,
IP(9), No. 11, November 2000, pp. 1862-1876.
IEEE DOI Link 0011
See also Nonlinear Multiresolution Signal Decomposition Schemes--Part II: Morphological Wavelets. BibRef

Kadir, T.[Timor], Brady, M.[Michael],
Saliency, Scale and Image Description,
IJCV(45), No. 2, November 2001, pp. 83-105.
WWW Version. 0111
A multiscale algorithm for the selection of salient regions of an image, applied to tracking, recognition and retrieval. See also Comparison of Affine Region Detectors, A. BibRef

Kadir, T.[Timor], Brady, M.[Michael],
Estimating statistics in arbitrary regions of interest,
BMVC05(xx-yy).
HTML Version. 0509
BibRef

Raducanu, B.[Bogdan], Graña, M.[Manuel], Albizuri, F.X.[F. Xabier],
Morphological Scale Spaces and Associative Morphological Memories: Results on Robustness and Practical Applications,
JMIV(19), No. 2, September 2003, pp. 113-131.
WWW Version. 0308
BibRef

Saha, P.K.[Punam Kumar],
Tensor scale: A local morphometric parameter with applications to computer vision and image processing,
CVIU(99), No. 3, September 2005, pp. 384-413.
WWW Version. 0508
Localized scale. For matching slices. BibRef

Ghosh, K.[Kuntal], Sarkar, S.[Sandip], Bhaumik, K.[Kamales],
Understanding image structure from a new multi-scale representation of higher order derivative filters,
IVC(25), No. 8, 1 August 2007, pp. 1228-1238.
WWW Version. 0706
Multi-scale filters; Derivative filters; Zero-crossings; Non-classical receptive field BibRef

Markussen, B.[Bo], Pedersen, K.S.[Kim Steenstrup], Loog, M.[Marco],
Second Order Structure of Scale-Space Measurements,
JMIV(31), No. 2-3, July 2008, pp. 207-220.
WWW Version. 0711
BibRef
Earlier: A2, A3, A1:
Generic Maximum Likely Scale Selection,
SSVM07(362-373).
Springer DOI Link 0705
BibRef

Wang, Y.Z.[Yi-Zhou], Zhu, S.C.[Song-Chun],
Perceptual Scale-Space and Its Applications,
IJCV(80), No. 1, October 2008, pp. xx-yy.
Springer DOI Link 0809
BibRef
Earlier: Add A2: Bahrami, S.[Siavosh], ICCV05(I: 58-65).
IEEE DOI Link 0510
BibRef

Gilboa, G.[Guy],
Nonlinear Scale Space with Spatially Varying Stopping Time,
PAMI(30), No. 12, December 2008, pp. 2175-2187.
IEEE DOI Link 0811
Applied to denoising signals. See also Variational Denoising of Partly Textured Images by Spatially Varying Constraints. See also Structure-Texture Image Decomposition: Modeling, Algorithms, and Parameter Selection. BibRef

Vanhamel, I.[Iris], Mihai, C.[Cosmin], Sahli, H.[Hichem], Katartzis, A.[Antonis], Pratikakis, I.[Ioannis],
Scale Selection for Compact Scale-Space Representation of Vector-Valued Images,
IJCV(84), No. 2, August 2009, pp. xx-yy.
Springer DOI Link 0906
BibRef
Earlier: A2, A1, A3, A4, A5: SSVM07(32-42).
Springer DOI Link 0705
BibRef

Nishiguchi, H.[Haruhiko], Imiya, A.[Atsushi], Sakai, T.[Tomoya],
Scale Space Hierarchy of Segments,
CAIP09(947-954).
Springer DOI Link 0909
BibRef

Bileschi, S.[Stanley],
Object detection at multiple scales improves accuracy,
ICPR08(1-5).
IEEE DOI Link 0812
BibRef

Wu, Q.[Qing], Chen, C.[Chun], Yu, Y.Z.[Yi-Zhou],
Wavelet-based hybrid multilinear models for multidimensional image approximation,
ICIP08(2828-2831).
IEEE DOI Link 0810
BibRef

Wu, Q.[Qing], Xia, T.[Tian], Yu, Y.Z.[Yi-Zhou],
Hierarchical Tensor Approximation of Multidimensional Images,
ICIP07(IV: 49-52).
IEEE DOI Link 0709
Transform into set of signals to capture multi-scale structures. BibRef

Derpanis, K.G.[Konstantinos G.], Leung, E.T.H.[Erich T. H.], Sizintsev, M.[Mikhail],
Fast Scale-Space Feature Representations by Generalized Integral Images,
ICIP07(IV: 521-524).
IEEE DOI Link 0709
BibRef

Unnikrishnan, R., Hebert, M.,
Denoising Manifold and Non-Manifold Point Clouds,
BMVC07(xx-yy).
PDF Version. 0709
BibRef

Lalonde, J.F., Unnikrishnan, R., Vandapel, N., Hebert, M.,
Scale selection for classification of point-sampled 3D surfaces,
3DIM05(285-292).
IEEE DOI Link 0508
BibRef
And: CMU-RI-TR-05-01, January, 2005.
WWW Version. BibRef

Unnikrishnan, R.[Ranjith], Lalonde, J.F.[Jean-Francois], Vandapel, N.[Nicolas], Hebert, M.[Martial],
Scale Selection for the Analysis of Point-Sampled Curves,
3DPVT06(1026-1033).
IEEE DOI Link 0606
BibRef
And:
Scale Selection for the Analysis of Point Sampled Curves: Extended Report,
CMU-RI-TR-06-25, June, 2006.
WWW Version. BibRef

Novatnack, J.[John], Nishino, K.[Ko],
Scale-Dependent 3D Geometric Features,
ICCV07(1-8).
IEEE DOI Link 0710
BibRef

Novatnack, J.[John], Nishino, K.[Ko], Shokoufandeh, A.[Ali],
Extracting 3D Shape Features in Discrete Scale-Space,
3DPVT06(946-953).
IEEE DOI Link 0606
BibRef

Chattopadhyay, S., Bhandarkar, S.M.,
MMR: Mask Based Multi-Resolution Images and Videos,
ICIP06(2149-2152). 0610

IEEE DOI Link BibRef

Makrogiannis, S.[Sokratis], Bourbakis, N.[Nikolaos],
Localization Scale Selection for Scale-Space Segmentation,
ICIAR05(1-8).
Springer DOI Link 0509
BibRef

Grazzini, J., Turiel, A., Yahia, H.,
Entropy estimation and multiscale processing in meteorological satellite images,
ICPR02(III: 764-767).
IEEE DOI Link 0211
BibRef

de Floriani, L., Mesmoudi, M.M., Danovaro, E.,
A smale-like decomposition for discrete scalar fields,
ICPR02(I: 184-187).
IEEE DOI Link 0211
BibRef

Mühlich, M.[Matthias], Mester, R.[Rudolf],
Subspace Methods and Equilibration in Computer Vision,
SCIA01(O-Tu4B). 0206
BibRef

Chomat, O., de Verdiere, V.C.[V. Colin], Hall, D., Crowley, J.L.,
Local Scale Selection for Gaussian Based Description Techniques,
ECCV00(I: 117-134).
WWW Version. 0003
BibRef

Ranjan, U.S.[Uma S.], Ramakrishnan, K.R.,
A Stochastic Scale Space for Multiscale Image Representation,
ScaleSpace99(441-446). BibRef 9900

Winter, A., Maitre, H., Cambou, N., and Legrand, E.,
An Original Multi-Sensor Approach to Scale-Based Image Analysis for Aerial and Satellite Images,
ICIP97(II: 234-237).
IEEE DOI Link BibRef 9700

Baldwin, B.[Bernard], Geiger, D.[Davi], and Hummel, R.[Robert],
Resolution-Appropriate Shape Representation,
ICCV98(460-465).
IEEE DOI Link BibRef 9800

Zekri, E.[Eric],
On Shape Recovery from Scale-Space Moments on Untextured Surfaces,
SCIA97(xx-yy) 9705

HTML Version. BibRef

Berkner, K.[Kathrin],
Reconstruction of Self-Similar Functions from Scale-Space,
ScaleSpace97(xx). 9702
BibRef

Aviad, Z.,
A Discrete Scale-Space Representation,
ICCV87(417-421). BibRef 8700

Sporring, J.[Jon], Weickert, J.A.,
On Generalized Entropies and Scale-Space,
ScaleSpace97(xx). 9702
BibRef

Sporring, J.,
The Entropy of Scale-Space,
ICPR96(I: 900-904).
IEEE DOI Link 9608
(Kobenhavns Univ. DK) BibRef

Cesar, Jr., R.M.[Roberto Marcondes], da Fontoura Costa, L.[Luciano],
Shape Characterization in Natural Scales By Using the Multiscale Bending Energy,
ICPR96(I: 735-739).
IEEE DOI Link 9608
(IFSC, Univ. of Sao Paulo, BR) BibRef

Chinveeraphan, S., Takamatsu, R., Sato, M.,
A Hierarchical Description of Digital Grayscale Images Based on Image Dipoles,
ICPR96(II: 246-250).
IEEE DOI Link 9608
(Tokyo Institute of Technology, J) BibRef

Kin, G., Sato, M.,
Scale space filtering on spherical pattern,
ICPR92(III:638-641).
IEEE DOI Link 9208
BibRef

Bertolino, P.[Pascal], Montanvert, A.,
Multiresolution Segmentation Using the Irregular Pyramid,
ICIP96(I: 257-260).
IEEE DOI Link BibRef 9600

Simon, B.[Benoit], Mertes, J.Y., Ciblat, P., Macq, B.,
Local Interpolation in Multiresolution Decomposition of Images,
ICIP96(I: 287-290).
IEEE DOI Link BibRef 9600

Zhao, D., Zhang, X.,
Morphological Multiscale Representation for Boundaries and Surfaces,
SCV95(139-144).
IEEE Top Reference. University of Michigan-Dearborn. MST -- morphological scale transform -- for descriptions. BibRef 9500

Jagersand, M.[Martin],
A Scale Decomposed Information Measure in Images,
ARPA94(I:717-724). BibRef 9400

Geiger, D., and Kogler, Jr., J.E.,
Scaling Images and Image Features via the Renormalization Group,
CVPR93(47-53).
IEEE Abstract. IEEE Top Reference. BibRef 9300

Kimia, B.B., Tannenbaum, A., Zucker, S.W.,
Entropy Scale-Space,
VF91(333-344). BibRef 9100

Wada, T., and Sato, M.,
Scale-Space Tree and Its Hierarchy,
ICPR90(II: 103-108).
IEEE DOI Link BibRef 9000

Lacroix, V.,
The primary raster: a multiresolution image description,
ICPR90(I: 903-907).
IEEE DOI Link 9006
BibRef

Zhuang, C.,
Scale-Based Hierarchical Description and Matching of Waveforms,
ICPR88(II: 1268-1270).
IEEE DOI Link
IEEE Top Reference. BibRef 8800

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