{"type":"ScholarlyArticle","title":"Geometrical Pattern Feature Extraction by Projection on Haar Orthonormal Basis","authors":[{"name":"Lucien A. Gerardin","slug":"lucien-a-gerardin","given":"Lucien A.","family":"Gerardin","affiliation":"Research Director Research Engineer Corporate Research Center - THOMSON-CSF Corbeville , 91 - ORSAY- France"},{"name":"Jacques Flament","slug":"jacques-flament","given":"Jacques","family":"Flament","affiliation":"Research Director Research Engineer Corporate Research Center - THOMSON-CSF Corbeville , 91 - ORSAY- France"}],"abstract":"The classification of a set of patterns is a problem that appears in very many fields. In general, the number of possible classes is unknown. To define a distance (or similarity) matrix on the set of patterns, we must summarize the available date in the form of a finite set of features with an information loss as small as possible. To evaluate distance coefficients, the best is to project the pattern on a total orthonormal basis ; on the condition of choosing a base matching the pattern properties which concern the classification problem to be solved. In the case of geometric patterns where the discontinuities play an essential role, Haar's discontinuous functions appears to be very promi sing as shown in the given examples. Morever, Haar's functions are well adapted to digital computation.","doi":null,"url":"https://ijcai.org/proceedings/1969/8","pdf":"https://ijcai.org/proceedings/1969/0008.pdf","markdown":"https://ijcai.org/proceedings/1969/8.md","bibtex":"https://ijcai.org/proceedings/1969/bibtex/8","volume":{"slug":"1969","title":"Proceedings of the First International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1969","url":"https://ijcai.org/proceedings/1969/","year":1969,"location":"Washington, DC, USA","dates":"May 7-9, 1969","editors":"Donald E. Walker and David C. Cooper","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Pattern Recognition--signal Processing","track":"Pattern Recognition--signal Processing","number":8,"pages":{"first":65,"last":78},"keywords":[],"videos":[],"references":[{"position":1,"raw":"-Hans J. BREMERMANN Pattern recognition, Functionals and Entropy-I.E.E.E. Transactions on Bio-Medical Engineering -july 1968.","title":"BREMERMANN Pattern recognition, Functionals and Entropy-I","authors":"J Hans","year":"1968","venue":"E.E.E. Transactions on Bio-Medical Engineering","doi":null,"url":null,"internal_url":null},{"position":2,"raw":"-Lothar COLLATZ Functional analysis and numerical ma- thematics -Academic Press -New-York -London.","title":"Lothar COLLATZ Functional analysis and numerical mathematics","authors":null,"year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":3,"raw":"J -L. GERARDIN and J. FLAMENT Self organizing systems and the pro- blem of pattern categorization -~osium IFAC - Technical and biological Problems of Control Erevan (URSS) -24/28 septembre 1968.","title":"FLAMENT Self organizing systems and the problem of pattern categorization -~osium IFAC -Technical and biological Problems of Control Erevan","authors":"J -L Gerardin, J","year":"1968","venue":null,"doi":null,"url":null,"internal_url":null},{"position":4,"raw":"-G.E. LOWITZ La reconnaissance des structures par la theorie descriptive de 1 1 information-Ph. D. Thesis -janvi er 1964 -PARIS","title":"La reconnaissance des structures par la theorie descriptive de 1 1 information-Ph","authors":"G E Lowitz","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":5,"raw":"-E.A. PATRICK, D.R. ANDERSON and F.K. BECHTEL Mapping multidimens ional space to one dimension for computer output displ~ -I.E.E.E. Transactions on Computers -october 1968 -p. 949, 95~.","title":"BECHTEL Mapping multidimens ional space to one dimension for computer output displ~ -I","authors":"E A Patrick, D R Anderson, F K","year":"1968","venue":"E.E.E. Transactions on Computers","doi":null,"url":null,"internal_url":null},{"position":6,"raw":"-S. WATANABE Karhunen-Loeve expansions and factor analysis -Proceed. 4th Cong. on Information Tbeo~-Prague, 1965-p. 635, 660.","title":"Loeve expansions and factor analysis -Proceed. 4th Cong. on Information Tbeo~","authors":"S Watanabe Karhunen","year":"1965","venue":null,"doi":null,"url":null,"internal_url":null}],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}