Abstract
Exact mathematical representations of objects are not suitable for applications where object descriptions are vague or object data is imprecise or inadequate. This paper presents representation schemes for basic inexact geometric entities and their relationships based on fuzzy logic. The aim is to provide a foundation framework for the development of fuzzy geometric modelling which will be useful for both creative design and computer vision applications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ballard D.H. and Brown C.M.: Computer Vision, Prentice-Hall (1982).
Barker S.M.: Towards a topology for computational geometry, Computer-Aided Design 27 (4) (1995) 311–318.
Berkan R.C. and Trubatch S.L.: Fuzzy System Design Principles, IEEE Press, NY (1997).
Hu C.Y., Patrikalakis N.M. and Ye X.: Robust interval solid modeling Part I: representations, Computer-Aided Design 28 (10) (1996) 807–817.
Huntsberger T.L., Rangarajan C. and Jayaramamurthy S.N.: Representattion of uncertainty in computer vision using fuzzy sets, IEEE Trans. Comput. C-35, (2) (1986) 145–156.
McNeill D. and Freioberger P.: Fuzzy Logic, Simon & Scuster, NY (1993).
Pal S.K. and Majumder D.D.: Fuzzy Mathematical Approach to Pattern Recognition, Wiley (Halsted Press), NY (1986).
Pal S.K and Rosenfeld A.: Image enhancement and thresholding by optimization of fuzzy compactness, Pattern Recog. Letters 7 (1988) 77–86.
Pham B.: A hybrid representation for aesthetic factors in design, International Jour.on Machine Graphics & Vision 6 (2) (1997) 237–246.
Pham B., Fuzzy Logic Applications in CAD, in Reznik L., Dimitrov V., Kacprzyk J. (eds.): Fuzzy System Design: Social and Engineering (1998) 73–85.
Pham B. and Zhang J.: A fuzzy shape specification system to support design for aesthetics, in Reznik L. (ed.): Soft Computing in Measurement and Information Acquisition, Physica-Verlag, Heidelberg, in print.
Reznik L., Dimitrov V. and Kacprzyk J. (Eds): Fuzzy System Design: Social and Engineering, Physica-Verlag, Heidelberg (1998).
Rosenfeld A.: The fuzzy geometry of image subsets, in Dubois D., Prade H. and Yager R.R. (eds.): Readings in Fuzzy Sets for Intelligent Systems, Morgan Kaufmann (1993).
Zhang J, Pham B. and Chen P.: Construction of a Fuzzy Shape Database, Second International Discourse on Fuzzy Logic in the New Millennium, Great Barrier Reef, Australia September 2000, in print.
Zadeh L.A. and Kacprzyk J. (Eds.): Computing with Words in Information / Intelligent Systems 1and 2-Foundations, Physica-Verlag, Heidelberg (1999).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pham, B. (2001). Representation of Fuzzy Shapes. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form 2001. IWVF 2001. Lecture Notes in Computer Science, vol 2059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45129-3_21
Download citation
DOI: https://doi.org/10.1007/3-540-45129-3_21
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42120-7
Online ISBN: 978-3-540-45129-7
eBook Packages: Springer Book Archive