• DocumentCode
    2078394
  • Title

    A preliminary framework for geometric basis computing pattern

  • Author

    Lin, Wei ; He, Yuanjun ; Yu, Haiyan

  • Author_Institution
    Dept. of Comput. Sci. & Eng., Shanghai Jiao Tong Univ., Shanghai, China
  • Volume
    2
  • fYear
    2010
  • fDate
    10-12 Dec. 2010
  • Firstpage
    710
  • Lastpage
    713
  • Abstract
    Geometric problems are usually solved by algebraic methods, which narrows the capacity of geometry. We represent a preliminary framework for geometric basis computing pattern. The pattern is based on He´s theory and solves the problems in the synthetic way. We define the geometric basis and use an axiomatic prover to generate a sequence of geometric bases. Computing is made according to the sequence. We also give an example to demonstration the feasibility of our approach.
  • Keywords
    computational geometry; computer graphics; theorem proving; He theory; algebraic methods; axiomatic prover; geometric basis computing pattern; geometric problems; Algebra; Animation; Computers; Geometry; Interpolation; Geometric basis; Geometric computing; Geometry information; Singularity detection; Theorem prover;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Progress in Informatics and Computing (PIC), 2010 IEEE International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-4244-6788-4
  • Type

    conf

  • DOI
    10.1109/PIC.2010.5687909
  • Filename
    5687909