The problem of geometric distance d evaluation from a point X0 to an algebraic curve in R2 or manifold G(X) = 0 in R3 is treated in the form of comparison of exact value with two its successive approximations d(1) and d(2). The geometric distance is evaluated from the univariate distance equation possessing the zero set coinciding with that of critical values of the function d2(X0), while d(1)(X0) and d(2)(X0) are obtained via expansion of d2(X0) into the power series of the algebraic distance G(X0). We estimate the quality of approximation comparing the relative positions of the level sets of d(X), d(1)(X) and d(2)(X).
Original languageEnglish
Title of host publicationProceedings of the 8th International Conference on Pattern Recognition Applications and Methods
Subtitle of host publicationICPRAM
EditorsAna Fred, Maria De Marsico, Gabriella Sanniti di Baja
PublisherSciTePress
Pages715-720
Volume1
ISBN (Electronic)978-989-758-351-3
StatePublished - 2019
Event8th International Conference on Pattern Recognition Applications and Methods - Прага, Czech Republic
Duration: 19 Feb 201921 Feb 2019

Conference

Conference8th International Conference on Pattern Recognition Applications and Methods
Abbreviated titleICPRAM 2019
Country/TerritoryCzech Republic
CityПрага
Period19/02/1921/02/19

    Research areas

  • Algebraic Manifold, Discriminant, Distance Approximation, Level Set

    Scopus subject areas

  • Computer Vision and Pattern Recognition

ID: 39524980