4.4.2.1 Filters in Scale Space

Daugman, J.G.,
Two-dimensional spectral analysis of cortical receptive field profiles,
Vision Research(20), 1980, pp. 847-856. BibRef 8000

Daugman, J.G.,
Uncertainty Relation for Resolution in Space, Spatial Frequency, and Orientation Optimized by 2D Visual Cortical Filters,
JOSA-A(2), No. 7, 1985, pp. 1160-1169. BibRef 8500

Babaud, J., Witkin, A.P., Baudin, M., and Duda, R.O.,
Uniqueness of the Gaussian Kernel for Scale-Space Filtering,
PAMI(8), No. 1, January 1986, pp. 26-33. Gaussian kernels for scale space. BibRef 8601

Zuerndorfer, B., and Wakefield, G.H.,
Extensions of Scale-Space Filtering to Machine Sensing Systems,
PAMI(12), No. 9, September 1990, pp. 868-882.
IEEE DOI Extension of scale-space techniques where the Gaussian assumption is violated. BibRef 9009

Kim, M.G., Dinstein, I., and Shaw, L.,
A Prototype Filter Design Approach to Pyramid Generation,
PAMI(15), No. 12, December 1993, pp. 1233-1240.
IEEE DOI BibRef 9312

Topkar, V.A., Sood, A.K.[Arun K.], Kjell, B.P.[Bradley P.],
Performance Analysis of 1-D Scale-Space Algorithms for Pulse Detection in Noisy Image Scans,
CVGIP(60), No. 2, September 1994, pp. 191-209.
DOI Link BibRef 9409
Earlier:
Object Detection Using Contrast Based Scale-Space,
CVPR91(700-701).
IEEE DOI BibRef
Earlier: A3, A2, A1:
Scale-Space Features for Object Detection,
SPIE(1468), 1991, pp. 148-155.
See also Pulse and Staircase Edge Models. BibRef

Pauwels, E.J., Van Gool, L.J., Fiddelaers, P., Moons, T.,
An Extended Class of Scale-Invariant and Recursive Scale Space Filters,
PAMI(17), No. 7, July 1995, pp. 691-701.
IEEE DOI Analysis of the generation of scale space filters BibRef 9507

Lenz, R.,
Rotation-Invariant Operators and Scale-Space Filtering,
PRL(6), 1987, pp. 151-154. BibRef 8700
Earlier:
Rotation-Invariant Operators,
ICPR86(1130-1132). BibRef

Bangham, J.A.[J. Andrew], Ling, P.D.[Paul D.], Harve, R.[Richard],
Scale-Space from Nonlinear Filters,
PAMI(18), No. 5, May 1996, pp. 520-528.
IEEE DOI 9606
BibRef
Earlier: ICCV95(163-168).
IEEE DOI One dimensional analysis. Illustrated on edges. BibRef

Bangham, J.A., Chardaire, P., Pye, C.J., Ling, P.D.,
Multiscale Nonlinear Decomposition: The Sieve Decomposition Theorem,
PAMI(18), No. 5, May 1996, pp. 529-539.
IEEE DOI 9606
BibRef

Bangham, J.A.[J. Andrew], Harvey, R.W.[Richard W.], Ling, P.D.[Paul D.], Aldridge, R.V.[Richard V.],
Morphological Scale-Space Preserving Transforms in Many Dimensions,
JEI(5), No. 3, July 1996, pp. 283-299. 9703
BibRef
Earlier:
Nonlinear scale-space from n-dimensional sieves,
ECCV96(I:187-198).
Springer DOI 9604
Extension to n-dimensions. BibRef

Harvey, R.W.[Richard W.], Bangham, J.A., Bosson, A.,
Some Morphological Scale-Space Filters and Their Properties,
ScaleSpace97(xx). 9702
BibRef

Bosson, A., Harvey, R.W.,
Using occlusion models to evaluate scale-space processors,
ICIP98(I: 615-619).
IEEE DOI 9810
BibRef

Sporring, J., Nielsen, M., Florack, L.M.J., Johansen, P., (Eds.),
Gaussian Scale-Space Theory,
KluwerDordrecht, May 1997. Indexed as: BibRef 9705 GSST97ISBN 0-7923-4561-4.
WWW Link. BibRef

Nielsen, M., Florack, L.M.J., Deriche, R.,
Regularization, Scale-Space, and Edge-Detection Filters,
JMIV(7), No. 4, October 1997, pp. 291-307.
DOI Link 9710
BibRef
Earlier: ECCV96(II:70-81).
Springer DOI BibRef

Florack, L.M.J.[Luc M.J.],
Data, Models, and Images,
ICIP96(I: 469-472).
IEEE DOI BibRef 9600

Florack, L.M.J.[Luc M.J.],
Image Structure,
KluwerSeptember 1997, ISBN 0-7923-4808-7.
WWW Link. BibRef 9709

Nielsen, M.,
Adaptive Regularization: Towards Self-Calibrated Surface Reconstruction,
INRIATR 2351, September 1994. BibRef 9409

Nielsen, M.[Mads],
Isotropic Regularization,
BMVC93(xx-yy).
PDF File. 9309
(DIKU, Copenhagen) BibRef

Strintzis, M.G.,
Optimal filters for the generation of multiresolution sequences,
SP(39), No. 1-2, 1994, pp. 55-68. BibRef 9400

Wang, Y.P.[Yu-Ping], Qu, R.B.[Rui-Bin],
Fast Implementation of Scale-Space by Interpolatory Subdivision Scheme,
PAMI(21), No. 9, September 1999, pp. 933-939.
IEEE DOI Interpolation based implementation for fast computation of scale space.
See also Lambda-Tau-Space Representation of Images and Generalized Edge Detector. BibRef 9909

Meyer, F.[Fernand], Maragos, P.[Petros],
Nonlinear Scale-Space Representation with Morphological Levelings,
JVCIR(11), No. 2, June 2000, pp. 245-265. 0008
BibRef
Earlier:
Morphological scale-space representation with levelings,
ScaleSpace99(187-198). BibRef

Meyer, F.,
Hierarchies of partitions and morphological segmentation,
ScaleSpace01(xx-yy). 0106
BibRef

Stawiaski, J.[Jean], Meyer, F.[Fernand],
Minimum spanning tree adaptive image filtering,
ICIP09(2245-2248).
IEEE DOI 0911
BibRef
And: A2, A1:
Morphology on Graphs and Minimum Spanning Trees,
ISMM09(161-170).
Springer DOI 0908
BibRef

Maragos, P.[Petros],
Algebraic and PDE Approaches for Lattice Scale-Spaces with Global Constraints,
IJCV(52), No. 2-3, May-June 2003, pp. 121-137.
DOI Link 0301
BibRef
Earlier:
Algebraic and PDE approaches for multi-scale image operators with global constraints: reference semi-lattice erosions and levelings,
ScaleSpace01(xx-yy). 0106
BibRef

Maragos, P.,
Differential morphology: multiscale image dynamics, max-min difference equations, and slope transforms,
ICIP94(II: 545-549).
IEEE DOI 9411
BibRef

Maragos, P.[Petros], Meyer, F.[Fernand],
Nonlinear PDEs and Numerical Algorithms for Modeling Levelings and Reconstruction Filters,
ScaleSpace99(363-374). BibRef 9900

Remaki, L., Cheriet, M.,
KCS--New--New Kernel Family with Compact Support in Scale Space: Formulation and Impact,
IP(9), No. 6, June 2000, pp. 970-981.
IEEE DOI 0006
BibRef

Braiek, E.B., Meghoufel, A., Cheriet, M.,
SKCS: New kernel family with compact support,
ICIP04(II: 1181-1184).
IEEE DOI 0505
BibRef

Florack, L.M.J.[Luc M.J.],
A Spatio-Frequency Trade-Off Scale for Scale-Space Filtering,
PAMI(22), No. 9, September 2000, pp. 1050-1055.
IEEE DOI 0010
Fourier Transform. Study implementation issues for convolution filters and Fourier alternatives. Below the trade-off scale Fourier is better and slower, above it is worse and faster. BibRef

Ben Braiek, E.[Ezzedine], Cheriet, M.[Mohamed],
A Generalized Separable Kernel Family with Compact Support, to Improve Visual Data Quality of Gray Level Images, in Scale Space,
GVIP(05), No. V6, 2005, pp. 61-67
HTML Version. BibRef 0500

Saryazdi, S., Cheriet, M.[Mohamed],
PKCS: A Polynomial Kernel Family With Compact Support for Scale- Space Image Processing,
IP(16), No. 9, September 2007, pp. 2299-2308.
IEEE DOI 0709
BibRef

Wu, C.L.[Chun-Lin], Deng, J.S.[Jian-Song], Chen, F.L.[Fa-Lai], Tai, X.C.[Xue-Cheng],
Scale-Space Analysis of Discrete Filtering Over Arbitrary Triangulated Surfaces,
SIIMS(2), No. 2, 2009, pp. 670-709.
DOI Link 0905
scale-space, discrete filtering, diffusion equation, triangulated mesh surface BibRef

Becker, C.[Christian], Buschenfeld, T.[Torsten], Ostermann, J.[Joern],
Impacts of a Resolution-Pyramid on Gibbs Random Field Classification,
HighRes09(xx-yy).
PDF File. 0906
BibRef

Shin, P.J.[Paul J.], Gao, X.T.[Xin-Ting], Kleihorst, R.P.[Richard P.], Park, J.[Johnny], Kak, A.C.[Avinash C.],
An efficient algorithm for the extraction of contours and curvature scale space on SIMD-powered Smart Cameras,
ICDSC08(1-10).
IEEE DOI
PDF File. 0809
BibRef

de Zeeuw, P.M.[Paul M.],
A Multigrid Approach to Image Processing,
ScaleSpace05(396-407).
Springer DOI 0505
BibRef

Kuijper, A.[Arjan], Olsen, O.F.[Ole Fogh],
The Structure of Shapes Scale Space Aspects of the (pre-) Symmetry Set,
ScaleSpace05(291-302).
Springer DOI 0505

See also Geometric Skeletonization Using the Symmetry Set. BibRef

Lenzen, F.[Frank], Scherzer, O.[Otmar],
A Geometric PDE for Interpolation of M-Channel Data,
SSVM09(413-425).
Springer DOI 0906
BibRef

Dong, G.Z.[Guo-Zhi], Grasmair, M.[Markus], Kang, S.H.[Sung Ha], Scherzer, O.[Otmar],
Scale and Edge Detection with Topological Derivatives,
SSVM13(404-415).
Springer DOI 1305
BibRef

Grasmair, M.[Markus], Lenzen, F.[Frank], Obereder, A.[Andreas], Scherzer, O.[Otmar], Fuchs, M.[Matthias],
A Non-convex PDE Scale Space,
ScaleSpace05(303-315).
Springer DOI 0505
BibRef

Welk, M.[Martin], Becker, F.[Florian], Schnörr, C.[Christoph], Weickert, J.[Joachim],
Matrix-Valued Filters as Convex Programs,
ScaleSpace05(204-216).
Springer DOI 0505
BibRef

Köthe, U.[Ullrich],
Accurate and Efficient Approximation of the Continuous Gaussian Scale-Space,
DAGM04(350-358).
Springer DOI 0505
BibRef
Earlier:
Local Appropriate Scale in Morphological Scale-Space,
ECCV96(I:219-228).
Springer DOI Use morphological opertors to find the appropriate scale for a given region. BibRef

Somchaipeng, K.[Kerawit], Sporring, J.[Jon], Kreiborg, S.[Sven], Johansen, P.[Peter],
Multi-scale Singularity Trees: Soft-Linked Scale-Space Hierarchies,
ScaleSpace05(97).
Springer DOI 0505
BibRef

Burgeth, B.[Bernhard], Didas, S.[Stephan], Weickert, J.[Joachim],
Relativistic Scale-Spaces,
ScaleSpace05(1-12).
Springer DOI 0505
BibRef

Didas, S.[Stephan], Burgeth, B.[Bernhard], Imiya, A.[Atsushi], Weickert, J.[Joachim],
Regularity and Scale-Space Properties of Fractional High Order Linear Filtering,
ScaleSpace05(13-25).
Springer DOI 0505
BibRef

ter Haar Romeny, B.M., Florack, L.M.J., Nielsen, M.,
Scale-time kernels and models,
ScaleSpace01(xx-yy). 0106
BibRef

van den Boomgaard, R.,
Gaussian convolutions: numerical approximations based on interpolation,
ScaleSpace01(xx-yy). 0106
BibRef

Cao, F.[Frederic],
Morphological Scale Space and Mathematical Morphology,
ScaleSpace99(164-174). BibRef 9900

van den Boomgaard, R.[Rein],
Numerical Solution Schemes for Continuous-Scale Morphology,
ScaleSpace99(199-210). BibRef 9900

McElvain, J., Lagan, J., and Heeger, A.J.,
Spatial Frequency Filtering Using Nondelineated Thin Films,
ICIP97(III: 380-383).
IEEE DOI 9710
BibRef

Zhao, D.M.[Dong-Ming], Li, B.,
A new implementation of discrete multiscale filtering,
ICIP96(I: 383-385).
IEEE DOI BibRef 9600

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