论文信息 - Surface design using triangular patches

Surface design using triangular patches

Abstract Surfaces designed in a computer graphics environment have many applications, including the design of cars, airplanes, shipbodies and modeling robots. The generation of smooth surfaces from a set of three-dimensional data points is a key problem in the field of Computer Aided Geometric Design. An overview of fundamental triangular concepts is given and new results are presented.

[1] J. A. Gregory,et al. A C1 triangular interpolation patch for computer-aided geometric design , 1980 .

[2] R. Barnhill. SMOOTH INTERPOLATION OVER TRIANGLES , 1974 .

[3] G. Nielson. The side-vertex method for interpolation in triangles☆ , 1979 .

[4] H. Hagen,et al. Variational design of smooth B-spline surfaces , 1992 .

[5] H. Pottmann,et al. Curvature continuous triangular interpolants , 1989 .

[6] Hans Hagen,et al. Geometric surface patches without twist constraints , 1986, Comput. Aided Geom. Des..

[7] W. J. Gordon,et al. Smooth interpolation in triangles , 1973 .

[8] R. Barnhill,et al. Polynomial interpolation to boundary data on triangles , 1975 .

[9] R. E. Barnhill,et al. Computer-aided surface representation and design , 1984 .

[10] J. Gregory,et al. Compatable smooth interpolation in triangles , 1975 .

[11] J. A. Gregory. Smooth interpolation without twist constraints , 1974 .