7.1.3.1 Implementation of Convolution and Smoothing Techniques

Sklansky, J.,
Thresholded Convolutions Operations,
JACM(17), No. 1, January 1970, pp. 161-165. BibRef 7001

Abramatic, J.F., and Faugeras, O.D.,
Sequential Convolution Techniques for Image Filtering,
ASSP(30), No. 1, 1982, pp. 1-10. BibRef 8200

Ney, H.,
A Dynamic Programming Algorithm for Nonlinear Smoothing,
SP(5), 1983, pp. 163-173. BibRef 8300

Ferrari, L.A.[Leonard A.], Sklansky, J.[Jack],
A Note on Duhamel Integrals and Running Average Filters,
CVGIP(29), No. 3, 1985, pp. 358-360.
WWW Version. BibRef 8500

Gourlay, A.R.,
Implicit Convolution,
IVC(3), No. 1, February 1985, pp. 15-23.
WWW Version. BibRef 8502

Wiejak, J.S., Buxton, H., Buxton, B.F.,
Convolution with Separable Masks for Early Image Processing,
CVGIP(32), No. 3, December 1985, pp. 279-290.
WWW Version. BibRef 8512

Basu, A., Brown, C.M.,
Algorithms and Hardware for Efficient Image Smoothing,
CVGIP(40), No. 2, November 1987, pp. 131-146.
WWW Version. BibRef 8711

O'Leary, D.P.,
Some Algorithms for Approximating Convolutions,
CVGIP(41), No. 3, March 1988, pp. 333-345.
WWW Version. BibRef 8803

Lohar, G., Mukherjee, D.P., Dutta Majumder, D.,
On a Decomposition of 2-D Circular Convolution,
PRL(13), 1992, pp. 701-706. BibRef 9200

Glasbey, C.A., Jones, R.,
Fast Computation of Moving Average and Related Filters in Octagonal Windows,
PRL(18), No. 6, June 1997, pp. 555-565. 9710
BibRef

Cocchia, F., Carrato, S., Ramponi, G.,
Design and Real-Time Implementation of A 3-D Rational Filter for Edge-Preserving Smoothing,
Consumer(43), No. 4, November 1997, pp. 1291-1300. 9801
BibRef

Ramponi, G.,
A rational edge-preserving smoother,
ICIP95(I: 151-154).
IEEE DOI Link 9510
BibRef

Gorecki, C., Trolard, B.,
Optoelectronic Implementation of Adaptive Image Preprocessing Using Hybrid Modulations of Epson Liquid-Crystal Television: Applications to Smoothing and Edge Enhancement,
OptEng(37), No. 3, March 1998, pp. 924-930. 9804
BibRef

Karasik, Y.B.,
A Recursive Formula for Convolutions/Correlations and Its Application in Pattern-Recognition,
PRL(19), No. 1, January 1998, pp. 53-56. 9807
BibRef

Karasik, Y.B.,
How To Compute 3-Dimensional Convolution and/or Correlation Optically: A Mathematical Foundation,
ModOpt(45), No. 4, April 1998, pp. 817-823. 9806
BibRef
Earlier:
How to Implement N-Dimensional Image Processing Optically,
ICIP97(I: 715-718).
IEEE DOI Link BibRef

Boykov, Y.Y.[Yuri Y.], Veksler, O.[Olga], Zabih, R.[Ramin],
A Variable Window Approach to Early Vision,
PAMI(20), No. 12, December 1998, pp. 1283-1294.
IEEE Abstract.
WWW Version. BibRef 9812
Earlier:
A Variable Neighborhood Approach to Early Vision,
DARPA97(1453-1458). Change the window at object boundaries to get better results. Apply to restoration, motion, stereo, correspondence. BibRef

Boykov, Y.Y.[Yuri Y.], Veksler, O.[Olga], Zabih, R.[Ramin],
Markov Random Fields with Efficient Approximations,
CVPR98(648-655).
IEEE Abstract. MRF Segmentation BibRef 9800

McCoy, J.S.[J. Scott],
Convolution algorithm for efficient hardware implementation,
US_Patent5,926,580, Jul 20, 1999
WWW Version. BibRef 9907

Sangwine, S.J.[Stephen J.], Ell, T.A.[Todd A.], Karasik, Y.B.,
Evaluation of 3-D Convolution by 2-D Filtering,
AppOpt(36), No. 29, 1997. BibRef 9700

Sangwine, S.J.[Stephen J.], Ell, T.A.[Todd A.],
Colour image filters based on hypercomplex convolution,
VISP(147), No. 2, April 2000, pp. 89. 0005
BibRef

Ell, T.A.[Todd A.], Sangwine, S.J.[Stephen J.],
Hypercomplex Fourier Transforms of Color Images,
IP(16), No. 1, January 2007, pp. 22-35.
IEEE DOI Link 0701
BibRef
Earlier: A2, A1: ICIP01(I: 137-140).
IEEE Abstract. 0108
BibRef

Sangwine, S.J., Ell, T.A.,
Vector zone plates as test patterns for linear vector filters,
ICIP02(II: 361-364).
IEEE Abstract. 0210
BibRef

Sangwine, S.J.[Stephen J.], Ell, T.A.[Todd A.],
Hypercomplex Auto- And Cross-Correlation of Color Images,
ICIP99(IV:319-322).
IEEE Abstract. BibRef 9900

Ell, T.A.[Todd A.],
Multi-Vector Color-Image Filters,
ICIP07(V: 245-248).
IEEE DOI Link 0709
BibRef
And:
Hypercomplex Color Affine Filters,
ICIP07(V: 249-252).
IEEE DOI Link 0709
BibRef

Ell, T.A.[Todd A.],
Hypercomplex Wiener-Khintchine Theorem with Application to Color Image Correlation,
ICIP00(Vol II: 792-795).
IEEE Abstract. 0008
BibRef

Evans, C., Sangwine, S.J.,
Hypercomplex Color-sensitive Smoothing Filters,
ICIP00(Vol I: 541-544).
IEEE Abstract. 0008
BibRef

Mount, D.M., Kanungo, T., Netanyahu, N.S., Piatko, C.D., Silverman, R., Wu, A.Y.,
Approximating large convolutions in digital images,
IP(10), No. 12, December 2001, pp. 1826-1835.
IEEE DOI Link 0201
BibRef
Earlier: UMD--TR4017, May 1999.
WWW Version.
WWW Version. BibRef

Reichenbach, S.E., Geng, F.,
Two-dimensional cubic convolution,
IP(12), No. 8, August 2003, pp. 857-865.
IEEE DOI Link 0308
BibRef

Toivonen, T.[Tuukka], Heikkilä, J.[Janne],
Video Filtering With Fermat Number Theoretic Transforms Using Residue Number System,
CirSysVideo(16), No. 1, January 2006, pp. 92-101.
IEEE DOI Link 0601
Implementation of convolution filters. BibRef

Sun, C.M.[Chang-Ming],
Moving average algorithms for diamond, hexagon, and general polygonal shaped window operations,
PRL(27), No. 6, 15 April 2006, pp. 556-566.
WWW Version. Moving average algorithm; Diamond shaped windows; Hexagon shaped windows; Polygonal shaped windows; Local statistics 0604
BibRef

Lampert, C.H., Wirjadi, O.,
An Optimal Nonorthogonal Separation of the Anisotropic Gaussian Convolution Filter,
IP(15), No. 11, November 2006, pp. 3501-3513.
IEEE DOI Link 0610
BibRef

Palomares, J.M., Gonzalez, J., Ros, E., Prieto, A.,
General Logarithmic Image Processing Convolution,
IP(15), No. 11, November 2006, pp. 3602-3608.
IEEE DOI Link 0610
BibRef

Reju, V.G., Koh, S.N., Soon, I.Y.,
Convolution Using Discrete Sine and Cosine Transforms,
SPLetters(14), No. 7, July 2007, pp. 445-448.
IEEE DOI Link 0707
BibRef

Suresh, K., Sreenivas, T.V.,
Block Convolution Using Discrete Trigonometric Transforms and Discrete Fourier Transform,
SPLetters(15), No. 1, 2008, pp. 469-472.
IEEE DOI Link 0806
BibRef

Argyriou, V., Vlachos, T., Piroddi, R.,
Gradient-Adaptive Normalized Convolution,
SPLetters(15), No. 1, 2008, pp. 489-492.
IEEE DOI Link 0806
BibRef

Munoz-Barrutia, A.[Arrate], Artaechevarria, X.[Xabier], Ortiz-de-Solorzano, C.[Carlos],
Spatially Variant Convolution With Scaled B-Splines,
IP(19), No. 1, January 2010, pp. 11-24.
IEEE DOI Link 1001
BibRef
Earlier: A2, A1, A3:
Restoration of Biomedical Images using Locally Adaptive B-Spline Smoothing,
ICIP07(II: 425-428).
IEEE DOI Link 0709
BibRef

Hu, X.[Xin], Peng, H.[Hui], Kesker, J.[Joseph], Cai, X.[Xiang], Wee, W.G.[William G.], Lee, J.H.[Jing-Huei],
An Improved Adaptive Smoothing Method,
CIAP09(757-766).
Springer DOI Link 0909
BibRef

Belt, H.J.W.,
Word length reduction for the integral image,
ICIP08(805-808).
IEEE DOI Link 0810
Sums of areas. BibRef

Brun, A., Westin, C.F., Haker, S., Knutsson, H.,
A Tensor-Like Representation for Averaging, Filtering and Interpolation of 3-D Object Orientation Data,
ICIP05(III: 1092-1095).
IEEE DOI Link 0512
BibRef

Lumsdaine, A., Wyatt, Jr., J.L., Elfadel, I.M.,
Nonlinear Analog Networks for Image Smoothing and Segmentation,
MIT AI Memo-1280, January 1991. BibRef 9101

Deriche, R., Cocquerez, J.P., Almouzny, G.,
An efficient method to build early image description,
ICPR88(I: 588-590).
IEEE DOI Link 8811
BibRef

Pan, F.[Feng], Gu, W.K.[Wei-Kang], Jin, R.J.[Ren-Jie], Yao, Q.D.[Qin-Dong],
One-pass preprocessing algorithm for real-time image processing system,
ICPR88(II: 851-853).
IEEE DOI Link 8811
BibRef

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Fourier Descriptors, DFT, FFT Computation, Use, Frequency Analysis .