Engineering topics
Publications and source records attributed to Barnhill, R. E..
Patch methods are someshow a response to the fact that surface geometry is local, that is, only small parts of a surface are created at a time. The two categories of patches, transfinite patches and finite dimensional patches are examined and a discussion of trivariate patches is presented.
New methods for representing and approximating three and four dimensional surfaces were created. These schemes are the core of our forthcoming Surface Software Package. Surfaces are understood adequately only through the use of dynamic computer graphics; therefore, graphics capability is also included. The numerous applications of surface methods include modeling physical phenomena (e.g., combustion) and designing objects (e.g., airplanes and cars).
Schemes for the representation and approximation of surfaces, based on Coon's and triangular patches and blending are discussed. The necessary criteria/characteristics for resulting spaces are outlined.