Multiresolution Polygonal Approximation
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Multiresolution Polygonal Approximation

Multiresolution Polygonal Approximation


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About the Book

This dissertation, "Multiresolution Polygonal Approximation" by 陳健華, Kin-wah, Chan, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled "Multiresolution Polygonal Approximation" submitted by Chan Kin Wah for the degree of Master of Philosophy at the University of Hong Kong in June 1998 Polygonal approximation is a process which approximates a two-dimensional polygonal curve by another polygonal curve. This has wide application in vari- ous fields of computer science such as computer graphics and image processing when figures have to be represented in a simpler form due to hardware con- straints or processing time limitations. In particular, the figure should have the capability of being represented in various levels of resolution (Multiresolution representation). In general, there are different definitions for this problem, de- pending on various factors such as criteria for error computation, restrictions on points of approximate curve and main goal of achievement, etc. In this thesis, two different approximation schemes for polygonal curves will be proposed. Both schemes employ the idea of convolving a weighting function with the original polygonal curve in a vector form. The first one aims at minimizing the mean square error between the original curve and the approximate one. Different weighting functions for reduction factors of 2 and 3 are derived. Another scheme achieves polygonal approximation through a wavelet system called DAUB4. The polygonal curve is reduced by half in size as well but the original curve can be more readily retrievable from the transformed data. Both schemes can be performed in linear time and can be easily imple- mented. They also allow the approximation to be performed repeatedly, pro- ducing approximate curves at various resolutions. Thus the curve can be dis- played at different resolutions according to the hardware constraints or appli- cation requirements. Also, these two schemes have the property of progressive transmission which produces the curves level by level from the coarsest one to the finest one. The reconstruction of the new level from previous levels can be easily done. DOI: 10.5353/th_b3025740 Subjects: Computer graphics - Mathematics Image processing - Mathematics Approximation theory


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Product Details
  • ISBN-13: 9781374724907
  • Publisher: Open Dissertation Press
  • Publisher Imprint: Open Dissertation Press
  • Height: 279 mm
  • No of Pages: 58
  • Weight: 435 gr
  • ISBN-10: 1374724904
  • Publisher Date: 27 Jan 2017
  • Binding: Hardback
  • Language: English
  • Spine Width: 6 mm
  • Width: 216 mm


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