4.9.1 Complex Log Mapping, Algorithms and Sensors

Casasent, D., and Psaltis, D.,
Position, Rotation and Scale Invarient Optical Correlation,
AppOpt(15), July 1975, pp. 1795-1799. Log Mapping. Early paper to describe the Complex Log Mapping and its use. BibRef 7507

Casasent, D., and Psaltis, D.,
New Optical Transforms for Pattern Recognition,
PIEEE(65), January 1977, pp. 77-84. BibRef 7701

Casasent, D., and Psaltis, D.,
Positional, Rotational and Scale Invariant Optical Correlation Method and Apparatus,
US_Patent4,084,255, 1978.
WWW Version. BibRef 7800

Sklansky, J., Kibler, D.F.,
A Theory of Nonuniformly Digitized Binary Pictures,
SMC(6), No. 9, September 1976, pp. 637-647. BibRef 7609

Cavanagh, P.,
Size and Position Invariance in the Visual System,
Perception(7), 1978, pp. 167-177. Log conformal mapping approach. BibRef 7800

Cavanagh, P.,
Functional Size Invariant is not Provided by the Cortical Magnification Factor,
Vision Research(22), 1982, pp. 1409-1412. BibRef 8200

Cavanagh, P.,
Size Invariance: Reply to Schwartz,
Perception(10), 1981, pp. 491-499. BibRef 8100

Schwartz, E.L.,
Cortical Mapping and Perceptional Invariance: A Reply to Cavanagh,
Vision Research(23), 1983, pp. 831-835. BibRef 8300

Schwartz, E.L.,
Spatial Mapping in the Primate Sensory Projection: Analytic Structure and Relevance to Perception,
BioCyber(25), 1977, pp. 181-194. Log mapping in animals. BibRef 7700

Schwartz, E.L.,
A Quanmtitative Model of the Functional Architecture of Human Striate Cortex with Application to Vision Illusion and Cortical Texture Analysis,
BioCyber(37), 1980, pp. 63-76. Log mapping in animals. BibRef 8000

Schwartz, E.L.,
Computational Anatomy and Functional Architecture of Striate Cortex: A Spatial Mapping Approach to Perceptual Coding,
Vision Research(20), 1980, pp. 645-669. BibRef 8000

Schwartz, E.L.,
Cortical Anatomy, Size Invariance, and Spatial Frequency Analysis,
Perception(10), 1981, pp. 455-468. See also Fourier-Analysis and Cortical Architectures: The Exponential Chirp Transform. BibRef 8100

Schwartz, E.L.,
Columnar Architecture and Computational Anatomy in Primate Visual Cortex: Segmentation and Feature Extraction via Spatial Frequence Coded Difference Mapping,
BioCyber(42), 1982, pp. 157-168. BibRef 8200

Weiman, C., Chaikin, G.,
Logarithmic Spiral Grids for Image Processing and Display,
CGIP(11), No. 3, November 1979, pp. 197-226.
WWW Version. BibRef 7911

Wallace, R.S., Ong, P.W., Bederson, B.B., Schwartz, E.L.,
Space-Variant Image-Processing,
IJCV(13), No. 1, September 1994, pp. 71-90.
Springer DOI Link BibRef 9409

Bederson, B.B., Wallace, R.S., Schwartz, E.L.,
A Miniature Pan-Tilt Actuator: The Spherical Pointing Motor,
RA(10), No. 3, June 1994. The small controllable camera. BibRef 9406

Bederson, B.B., Wallace, R.S., Schwartz, E.L.,
A Miniaturized Space-Variant Active Vision System: Cortex-I,
MVA(8), No. 2, 1995, pp. 101-109. Sensors, Space Variant. BibRef 9500

Schwartz, E.L., Greve, D.N., Bonmassar, G.,
Space-Variant Active Vision: Definition, Overview and Examples,
NeurNet(8), No. 7-8, 1995, pp. 1297-1308. BibRef 9500

Wallace, R.S.,
A Notebook Logmap Active Vision System,
ARPA96(787-792). BibRef 9600

Wallace, R.S.[Richard S.], Ong, P.W.[Ping-Wen], Bederson, B.B.[Benjamin B.], and Schwartz, E.L.[Eric L.],
Connectivity graphs for space-variant active vision,
NNR92(347-374). BibRef 9200
And:
Connectivity Graphs in Space-Variant Active Vision,
VAI-1, Vision Applications, Inc. Sensors, Log Polar Map. Use of the log-polar sensor for tracking. BibRef

Wallace, R.S., Bederson, B.B., Schwartz, E.L.,
Voice-Bandwidth Visual Communication Through Logmaps: The Telecortex,
WACV92(4-10).
IEEE Abstract. IEEE Top Reference. BibRef 9200

Engel, G., Greve, D.N., Lubin, J.M., Schwartz, E.L.,
Space-Variant Active Vision and Visually Guided Robotics: Design and Construction of a High-Performance Miniature Vehicle,
ICPR94(B:487-490).
IEEE DOI Link BibRef 9400

Sandini, G., and Tagliasco, V.,
An Anthropomorphic Retina-Like Structure for Scene Analysis,
CGIP(14), No. 4, December 1980, pp. 365-372.
WWW Version. BibRef 8012

Sandini, G., and Tistarelli, M.,
Vision and Space-Variant Sensing,
NNHMV(398-425), 1992. BibRef 9200

Wang, Y., and Mitra, S.K.,
Image Representation Using Block Pattern Models and Its Image Processing Applications,
PAMI(15), No. 4, April 1993, pp. 321-336.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9304

Tunley, H.[Hilary], Young, D.[David],
Dynamic Fixation of a Moving Surface Using Log Polar Sampling,
BMVC94(xx-yy).
PDF Version. 9409
BibRef
And:
First Order Optic Flow from Log-Polar Sampled Images,
ECCV94(A:132-137).
Springer DOI Link Optic Flow. BibRef

Wilson, J.C., Hodgson, R.M.,
Log-Polar Mapping Applied To Pattern Representation And Recognition,
CVIP92(245-277). BibRef 9200

Baricco, G.A., Olivero, A.M., Rodriguez, E.J., Safar, F.G., and Sanz, J.L.C.,
Conformal Mapping-Based Image Processing: Theory and Applications,
JVCIR(6), 1995, pp. 35-51. BibRef 9500
Earlier: A1, A3, A5, A2, A4: ICPR94(C:88-92).
IEEE DOI Link 9410
BibRef

Shin, C.W., Inokuchi, S., Kim, K.I.,
Retina-Like Visual Sensor for Fast Tracking and Navigation Robots,
MVA(10), No. 1, 1997, pp. 1-7.
HTML Version. 9705
BibRef

Dias, J., Araujo, H., Paredes, C., Batista, J.,
Optical Normal Flow Estimation on Log-Polar Images: A Solution for Real-Time Binocular Vision,
RealTimeImg(3), No. 3, June 1997, pp. 213-228. 9708
BibRef

Lim, F.L., West, G.A.W., Venkatesh, S.,
Use of Log Polar Space for Foveation and Feature Recognition,
VISP(144), No. 6, December 1997, pp. 323-331. 9806
BibRef

Jurie, F.,
A new log-polar mapping for space variant imaging,
PR(32), No. 5, May 1999, pp. 865-875.
WWW Version. BibRef 9905

Cheong, L.F.[Loong-Fah], Ng, K.O.[Kok-Onn],
Geometry of Distorted Visual Space and Cremona Transformation,
IJCV(32), No. 3, August 1999, pp. 195-212.
WWW Version. BibRef 9908

Nattel, E.[Efri], Yeshurun, Y.[Yehezkel],
Direct feature extraction in a foveated environment,
PRL(23), No. 13, November 2002, pp. 1537-1548.
HTML Version. 0206
Implementation of feature extraction directly on foveated image. BibRef

Gomes, H.M.[Herman M.], Fisher, R.B.[Robert B.],
Primal sketch feature extraction from a log-polar image,
PRL(24), No. 7, April 2003, pp. 983-992.
HTML Version. 0301
BibRef

Traver, V.J.[V. Javier], Pla, F.[Filiberto],
Dealing with 2D translation estimation in log-polar imagery,
IVC(21), No. 2, February 2003, pp. 145-160.
WWW Version. 0301
BibRef

Wallace, A.M., McLaren, D.J.,
Gradient detection in discrete log-polar images,
PRL(24), No. 14, October 2003, pp. 2463-2470.
WWW Version. 0307
BibRef

Keller, Y.[Yosi], Averbuch, A.[Amir], Israeli, M.[Moshe],
Pseudopolar-Based Estimation of Large Translations, Rotations, and Scalings in Images,
IP(14), No. 1, January 2005, pp. 12-22.
IEEE DOI Link 0501
BibRef
And: Motion05(II: 201-206).
WWW Version. 0502
BibRef

Schindler, K.[Konrad],
Geometry and construction of straight lines in log-polar images,
CVIU(103), No. 3, September 2006, pp. 196-207.
WWW Version. 0609
Keywords: Log-polar images; Line geometry; Feature detection; Epipolar matching BibRef

Schindler, K., Bischof, H.,
The epipolar geometry of the log-polar image plane,
ICPR04(IV: 40-43).
IEEE DOI Link 0409
BibRef

Park, W., Chirikjian, G.S.,
Interconversion Between Truncated Cartesian and Polar Expansions of Images,
IP(16), No. 8, August 2007, pp. 1946-1955.
IEEE DOI Link 0709
Lossless conversion between cartesian and polar. BibRef

Traver, V.J.[V. Javier], Pla, F.[Filiberto],
Log-polar mapping template design: From task-level requirements to geometry parameters,
IVC(26), No. 10, 1 October 2008, pp. 1354-1370.
WWW Version. 0804
Log-polar vision; Receptive fields; Design criteria; Genetic algorithm BibRef

Johansson, B.[Bjorn], Moe, A.[Anders],
Patch-Duplets for Object Recognition and Pose Estimation,
CRV05(9-16).
IEEE DOI Link 0505
BibRef

Viksten, F.[Fredrik], Moe, A.[Anders],
Local Single-Patch Features for Pose Estimation Using the Log-Polar Transform,
IbPRIA05(I:44).
Springer DOI Link 0509
BibRef

Son, Y.H.[Young-Ho], You, B.J.[Bum-Jae], Oh, S.R.[Sang-Rok], Park, G.T.[Gwi-Tae],
Affine-Invariant Pattern Recognition Using Momentums in Log-Polar Images,
AFGR04(797-802).
IEEE Abstract. IEEE Top Reference. 0411
Gestures. BibRef

Choi, I.[Il], Yoon, J.G.[Jong-Gun], Lee, Y.B.[Young-Beum], Chien, S.I.[Sung-Il],
Stereo System for Tracking Moving Object Using Log-Polar Transformation and Zero Disparity Filtering,
CAIP03(182-189).
WWW Version. 0311
BibRef

Balasuriya, L.S., Siebert, J.P.,
An artificial retina with a self-organised retinal receptive field tessellation,
BIMV03(xx-yy).
PDF Version. BibRef 0300

Bernardino, A.[Alexandre], Santos-Victor, J.[José],
A Binocular Stereo Algorithm for Log-Polar Foveated Systems,
BMCV02(127 ff.).
HTML Version. 0303
BibRef

Hontani, H., Shibata, J., Kimachi, A., Ando, S.,
Vibratory image feature extraction based on local log-polar symmetry,
ICPR02(III: 839-842).
IEEE DOI Link 0211
BibRef

Traver, V.J., Pla, F.,
Motion estimation and figure-ground segmentation using log-polar images,
ICPR02(IV: 166-169).
IEEE DOI Link 0211
BibRef

Molina, I., Arrebola, F., Sandoval, F.,
Foveal Image Segmentation using Hierarchical Irregular Tessellations,
SCIA01(P-W4A). 0206
BibRef

Schardt, T.[Thomas], Huenermann, R.[Ralph],
DSP-Oriented Low Level Processing for Adaptive Tuning of Video Surveillance Images,
MVBSS00(47-56). automatic gain control, locally adaptive illumination control
PDF Version. BibRef 0001

Young, D.,
Straight Lines and Circles in the Log-Polar Image,
BMVC00(xx-yy).
PDF Version. 0009
BibRef

Curotto, F., Garibaldi, S., Grosso, E.[Enrico], Tistarelli, M.[Massimo],
Log-Polar Stereo for Anthropomorphic Robots,
ECCV00(I: 299-313).
WWW Version. 0003
BibRef

Jurie, F.,
A New Log-Polar Mapping for Space Variant Imaging. Application to Face Detection and Tracking,
SCIA99(Computer Vision I). BibRef 9900

Ahrns, I.[Ingo], Neumann, H.[Heiko],
Real-Time Monocular Fixation Control Using the Log-Polar Transformation and a Confidence-Based Similarity Measure,
ICPR98(Vol I: 310-315).
IEEE DOI Link 9808
BibRef

Ruiz del Solar, J., Nowack, C., and Schneider, B.,
VIPOL: A Virtual Polar-Logarithmic Sensor,
SCIA97(xx-yy) 9705

HTML Version. BibRef

Boluda, J.A.[Jose A.], Domingo, J.[Juan], Pardo, F.[Fernando], Pelechano, J.[Joan],
Detecting motion independent of the camera movement through a log-polar differential approach,
CAIP97(702-709).
WWW Version. 9709
BibRef

Daniilidis, K.[Konstantinos],
Computation of 3D-motion parameters using the log-polar transform,
CAIP95(82-89).
Springer DOI Link 9509
BibRef

Baron, T., Levine, M.D., Yeshurun, Y.,
Exploring with a Foveated Robot Eye System,
ICPR94(C:377-380).
IEEE DOI Link BibRef 9400

Shin, C.W.[Cheon Woo], Inokuchi, S.[Seiji],
A New Anthropomorphic Retina-Like Visual Sensor,
ICPR94(C:345-348).
IEEE DOI Link BibRef 9400

Rojer, A.S., Schwartz, E.L.,
Design considerations for a space-variant visual sensor with complex-logarithmic geometry,
ICPR90(II: 278-285).
IEEE DOI Link 9208
BibRef

Hilsenrath, O.A., Zeevi, Y.Y.,
3D cuboid scene understanding by a mixed cognitive graph and log-complex mapping paradigm,
ICPR88(II: 696-699).
IEEE DOI Link 8811
BibRef

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Hilbert Scan for Compression and Representation .