A method for finding the intersection of two parametrically defined surfaces is discussed. The intersection is represented by parametrized curves in the parameter spaces of each of the two given surfaces. The curves are found by solving a four dimensional system of differential equations by means of a low order numerical ODE solver. Correction of drift is obtained by a variant of the Newton-Raphson technique developed specifically for this problem.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Determining the Intersection of Parametric Surfaces by Solving Ordinary Differential Equations


    Additional title:

    Sae Technical Papers


    Contributors:

    Conference:

    Computer Graphics Conference and Exposition ; 1987



    Publication date :

    1987-04-07




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English



    Determining the intersection of parametric surfaces by solving ordinary differential equations

    Sachs,G.A. / Schwartz,A.J. / Sleator,F.B. et al. | Automotive engineering | 1987




    On-Chip Optical Feedback Systems for Solving Systems of Ordinary Differential Equations

    Hou, J. / Dong, J. / Zhang, X. | British Library Online Contents | 2017


    Ordinary fractional differential equations are in fact usual entire ordinary differential equations on time scales

    Damasceno, Berenice C. / Barbanti, Luciano | American Institute of Physics | 2014