• DocumentCode
    2866064
  • Title

    Non-Euclidean locally monotonic regression

  • Author

    Retrepo, A. ; Sandberg, Irwin W. ; Bovik, Alan C.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
  • fYear
    1990
  • fDate
    3-6 Apr 1990
  • Firstpage
    1201
  • Abstract
    The concept of locally monotonic regression is extended by considering metrics on rn that are different from the Euclidean metric. The existence of regressions for a large class of metrics is shown. Algorithms that show the computability of locally monotonic regressions are given. A general algorithm that computes regressions for the lp metrics is given; considered in detail are the cases corresponding to the metrics l1 and l∞, where the sample median and the sample midrange play important roles
  • Keywords
    computerised signal processing; filtering and prediction theory; locally monotonic regressions; median filtering; nonEuclidean metric; signal processing; Euclidean distance; Filters; Periodic structures; Skeleton; Smoothing methods; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
  • Conference_Location
    Albuquerque, NM
  • ISSN
    1520-6149
  • Type

    conf

  • DOI
    10.1109/ICASSP.1990.115586
  • Filename
    115586
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2866064