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    block this user Hartmut Prautzsch Trusted member

    Professor

    KIT
    Karlsruhe Institute of Technology

    A Geometric Look At Corner Cutting

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    In this paper we consider corner cutting and convexity preserving interpolatory refinement schemes in the plane and on the sphere. Using well-known facts from projective geometry we present a unified approach to such schemes and geometric derivations of simple conditions which guarantee that a scheme generates C¹-curves. Our results generalize all of the results known so far and provide the ground for a new convexity preserving C¹-interpolation scheme with a simple direct shape handle.

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    Title : A Geometric Look At Corner Cutting
    Abstract : In this paper we consider corner cutting and convexity preserving interpolatory refinement schemes in the plane and on the sphere. Using well-known facts from projective geometry we present a unified approach to such schemes and geometric derivations of simple conditions which guarantee that a scheme generates C¹-curves. Our results generalize all of the results known so far and provide the ground for a new convexity preserving C¹-interpolation scheme with a simple direct shape handle.
    Subject : unspecified
    Area : Computer Science
    Language : English
    Affiliations : 
    Url : http://www.ubka.uni-karlsruhe.de/cgi-bin/psgunzip/1995/informatik/8/8.pdf
    Doi : 10.1.1.33.897

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