Title :
Implicit curves and surfaces in CAGD
Author :
Hoffmann, Christoph M.
Author_Institution :
Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA
Abstract :
The role of implicit curves and surfaces in computer-aided geometric design (CAGD) are described. The ways in which the study of implicit algebraic curves and surfaces draws on algebraic geometry are reviewed. The implicitization of parametric curves and surfaces, parameterization of implicits, and techniques used to circumvent conversions between implicit and parametric representations are discussed.<>
Keywords :
computational geometry; CAGD; algebraic geometry; computer-aided geometric design; implicit algebraic curves; parametric curves; parametric representations; Algorithm design and analysis; Geometry; Interpolation; Manufacturing; Shape;
Journal_Title :
Computer Graphics and Applications, IEEE
