Numéro : 2461 - Year : 2005

Geometry and complexity: the entropy as splitting criteria?

Marc POMMELET, Cabinet SISTRE -

Today’s complex form modeling allows representing any form as accurately as a canonic one.

Strait lines, circles, ellipses, parabolas and other classical primitives are simple forms, clearly typed by their definition, but NURBS, for example, can potentially approximate any of them. As this “polymorphism” allows transforming continuously any simple form into a complex one, without changing its nature, it looks necessary to replace this rough simple/complex opposition by a sharp measure of model’s geometric complexity.

Such a measure should undoubtedly be a particularly relevant fairing criterion…

Advanced search

Year

2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 1985 1984 1983 1982 1981 1980 1979 1978 1977 1976 1975 1974 1973 1972 1971 1970 1969 1968 1967 1966 1965 1964 1963 1962 1961 1960 1959 1958 1957 1956 1955 1954 1953 1952 1951 1950 1949 1948 1947 1946 1945 1939 1938 1937 1936 1935 1934 1933 1932 1931 1930 1929 1928 1927 1926 1925 1924 1923 1915 1914 1913 1912 1911 1910 1909 1908 1907 1906 1905 1904 1903 1902 1901 1900 1899 1898 1897 1896 1895 1894 1893 1892 1891 1890

Download (only for members)