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, March 1985, pp. 358-360. BibRef 8503

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. BibRef 8512

Basu, A., Brown, C.M.,
Algorithms and Hardware for Efficient Image Smoothing,
CVGIP(40), No. 2, November 1987, pp. 131-146. 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).
WWW Version. 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).
WWW Version. 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. IEEE Top Reference.
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. IEEE Top Reference. MRF Segmentation BibRef 9800

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.
WWW Version. 0701 BibRef
Earlier: A2, A1: ICIP01(I: 137-140).
IEEE Abstract. IEEE Top Reference. 0108 BibRef

Sangwine, S.J., Ell, T.A.,
Vector zone plates as test patterns for linear vector filters,
ICIP02(II: 361-364).
IEEE Abstract. IEEE Top Reference. 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. IEEE Top Reference. BibRef 9900

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

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

Evans, C., Sangwine, S.J.,
Hypercomplex Color-sensitive Smoothing Filters,
ICIP00(Vol I: 541-544).
IEEE Abstract. IEEE Top Reference. 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.
WWW Version. 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.
WWW Version. 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.
WWW Version. 0601Implementation 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.
WWW Version. 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.
WWW Version. 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.
WWW Version. 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.
WWW Version. 0806 BibRef

Argyriou, V., Vlachos, T., Piroddi, R.,
Gradient-Adaptive Normalized Convolution,
SPLetters(15), No. 1, 2008, pp. 489-492.
WWW Version. 0806 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).
WWW Version. 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).
WWW Version. 8811 BibRef

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