Abstract
A crucial factor in human perception is that we are able to move around in the three- dimensional world we live in. This induces continuous changes in the structure of the visual world as it is projected onto the retina. Much attention has been paid to the analysis of the “pictorial mode” of perception, the analysis of the retinal images as such. Gibson was one of the pioneers in this field, studying the behavior and perception of aircraft pilots during landing manoeuvres. He coined the term “ecological optics” for the study of the natural inflow of information, in which the deformation of structure due to relative movements of objects and observer (or the observer’s eyes) is studied.
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References
Gibson J.J. The Perception of the Visual World. Boston: Houghton Mifflin; 1952.
Kay D.C. Tensor Calculus (Schaum’s Outline Series). New York: McGraw-Hill; 1988.
Gurevich B. Foundations of the Theory of Algebraic Invariants. Groningen: Noordhof; 1979.
Spivak M. A Comprehensive Introduction to Differential Geometry (Vols. I–V). Berkeley: Publish or Perish; 1970.
Young R.A. The Gaussian derivative model for machine vision: Visual cortex simulation. J. Opt. Soc. Am. 1985; A2(13): 39, 102.
Young R.A. Simulation of human retinal function with the Gaussian derivative model. Proc. IEEE Conf. Comput. Vision Patt. Recogn. 1986; 564–569.
Kanatani K. Group-Theoretical Methods in Image Understanding (Springer Series in Information Sciences, Vol. 20). Berlin: Springer; 1990.
Ter Haar Romeny B.M., Florack L.M.J., Koenderink J.J., Viergerer M.A. Scale-space: its natural operators and differential invariants. In: Colchester A.C.F., Hawkes D.J., eds. Information Processing in Medical Imaging (Lecture Notes in Computer Science, 511), Berlin: Springer; 1991: 239–255.
Florack L.M.J., Ter Haar Romeny B.M., Koenderink J.J., Viergerer M.A. Scale and the differential structure of images. Image Vis. Comput. 1992; 10: 376–388.
Florack L.M.J., Ter Haar Romeny B.M., Koenderink J.J., Viergerer M.A. Linear scale-space. J. Math. Imag. Vis. 1994; 4: 325–351.
Weyl H. The Classical Groups, their Invariants and Representations. Princeton: Princeton University Press; 1946.
Ter Haar Romeny B.M., Florack L.M.J., Salden A.H., Viergerer M.A. Higher order differential structure of images. Image Vis. Comput. 1994; 12: 317–325.
Witkin A.P. Scale space filtering. Proc. Int. Joint Conf. Artificial Intell. (Karlsruhe) 1983; 1019–1021.
Koenderink J.J. The structure of images. Biol. Cybern. 1984; 50: 363–370.
Babaud J., Witkin A., Duda R. Uniqueness of the Gaussian kernel for scale space filtering. IEEE Trans. Patt. Anal. Mach. Intell. 1986; PAMI-8: 26–33.
Korn A. Toward a symbolic representation of intensity changes in images. IEEE Trans. Patt. Anal. Mach. Intell. 1988; PAMI-10: 610–625.
Koenderink J.J. Geometrical structures determined by the functional order in nervous nets. Biol. Cybern. 1984; 50: 43–50.
Koenderink J.J., van Doom A.J. Representation of local geometry in the visual system. Biol. Cybern. 1987; 55: 367–375.
Torre V., Poggio T.A. On edge detection. IEEE Trans. Patt. Anal. Mach. Intell. 1986; PAMI-8: 147–163.
Poggio T., Torre V., Koch C. Computational vision and regularization. Nature 1985; 317: 314–319.
Koenderink J.J. Image structure. In: Viergever M.A., Todd-Pokropek A., eds. Mathematics and Computer Science in Medical Imaging (NATO ASI Series F39. Berlin: Springer; 1988: 67–104.
Hubel D.H. Eye, Brain, and Vision (Scientific American Library Series 22). San Francisco: Freeman; 1988.
Hubel D.H., Wiesel T.N. Brain mechanisms of vision. Sci. Am. 1979; 241(3): 130–146.
Koenderink J.J., van Doom A.J. Receptive field families. Biol Cybern. 1990; 63: 291–298.
Florack L.M.J., Ter Haar Romeny B.M., Koenderink J.J., Viergerer M.A. Cartesian differential invariants in scale-space. J. Math Imag. Vis. 1993; 3: 327–348.
Marr D., Hildrecht E.C. Theory of edge detection. Proc. R. Soc. London 1980; 200: 269–294.
Clark J.J. Authenticating edges produced by zero-crossing algorithms. IEEE Trans. Path. Anal. Mach. Intell. 1989; PAMI-11: 43–57.
Lindeberg T. Scale space for discrete signals. IEEE Trans. Patt. Anal. Mach. Intell. 1990; PAMI-12: 234–245.
Canny J. A computational approach to edge detection. IEEE Trans. Patt. Anal. Mach. Intell. 1987; PAMI-8: 679–698.
De Micheli E., Caprile B., Ottonello P., Torre V. Localization and noise in edge detection. IEEE Trans. Patt. Anal. Mach. Intell. 1989; PAMI-10: 1106–1117.
Koenderink J.J., van Doom A.J. A description of the structure of visual images in terms of an ordered hierarchy of light and dark blobs. In: Jaeffe S.C., ed. Proc. 2nd IEEE Int. Conf. Vis. Psychophys. Med. Imag. (Cat. 81 CH 1676-6) New York: IEEE; 1981: 173–176.
Noble J.A. Finding corners. Image Vis. Comput. 1988; 6:121–128.
Koenderink J.J. Solid Shape. Cambridge: MIT; 1990.
Lifshitz L.M., Pizer S.M. A multiresolution hierarchical approach to image segmentation based on intensity extrema. IEEE Trans. Patt. Anal. Mach. Intell. 1990; PAMI-12: 529–541.
Betgholm F. Edge focusing. IEEE Trans. Patt. Anal. Mach. Intell. 1987; PAMI-9: 726–741.
Bovik A.C., Clark M., Geisler W.S. Multichannel texture analysis using localized spatial filters. IEEE Trans. Patt. Anal. Mach. Intell. 1990; PAMI-12: 55–73.
Mallat S.G. A theory for multiresolution signal decomposition: The wavelet representation. IEEETrans. Patt. Anal. Mach. Intell. 1989; PAMI-11: 674–694.
Ter Haar Romeny B.M., ed. Geometry-Driven Diffusion in Computer Vision. Dordrecht: Kluwer; 1994.
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Romeny, B.M.T.H., Florack, L. (1997). A Multiscale Geometric Model of Human Vision. In: Hendee, W.R., Wells, P.N.T. (eds) The Perception of Visual Information. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1836-4_4
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