VISUAL DISTINGUISHABILITY OF SEGMENTS

Year 2013, Volume: 6 Issue: 1, 56 - 67, 30.04.2013

árpád Kurusa

Abstract

Keywords

visual angle, shadow picture, masking function

References

• [1] Brieskorn, E. and Knörrer, H., Plane algebraic curves, Birkhäuser Verlag, Basel, 1986.
• [2] Gardner, R. J., Geometric tomography, Encyclopedia of Math. and its Appl. 58, Cambridge University Press, Cambridge, 2006 (first edition in 1996).
• [3] Kincses, J., The determination of a convex set from its angle function, Discrete Comput. Geom., 30 (2003), 287–297.
• [4] Kincses, J. and Kurusa, Á ., Can you recognize the shape of a figure from its shadows?, Beiträge zur Alg. und Geom., 36 (1995), 25–34.
• [5] Kincses, J., An example of a stable, even order Quadrangle which is determined by its angle function, Discrete Geometry, in honor of W. Kuperberg’s 60th birthday (ed.: A. Bezdek), CRC Press (Marcel Dekker), New York – Basel, 2003, 367–372.
• [6] Kurusa, Á., You can recognize the shape of a figure by its shadows!, Geom. Dedicata, 59 (1996), 103–112.
• [7] Kurusa, Á., The shadow picture problem for nonintersecting curves, Geom. Dedicata, 59 (1996), 113–125.
• [8] Kurusa, Á ., Is a convex plane body determined by an isoptic?, Beiträge Algebra Geom., 53 (2012), 281–294; DOI: 10.1007/s13366-011-0074-2.
• [9] Kurusa, Á ., Equioptics of segments: generalizing Apollonius’ theorem, Polygon, 21 (2013), 43–57 (in hungarian: “Szakaszok ekvioptikusai: Apoll´oniosz t´etel´enek ´altala´nos´ıt´asa”).
• [10] Kurusa, Á., Visual distinguishability of polygons, Beitra¨ge Algebra Geom. (2013), DOI: 10.1007/s13366-012-0121-7.
• [11] Pamfilos, P. and Thoma, A., Apollonian cubics: An application of group theory to a problem in Euclidean geometry, Mathematics Magazine, 72 (1999), 356–366.
• [12] Pamfilos, P., Theory of Isoptic cubics, Help file of Isoptikon program that is freely availableat http://www.math.uoc.gr/∼pamfilos/#iso , 1998.