Lecture 21 Surfaces

  title={Lecture 21 Surfaces},
    This chapter focus on two important and practical classes of surfaces: quadric surfaces and NURB surfaces. ] is a hypersurface in n-dimensional affine space (either real or complex). When P (X) is homogeneous, it is called a form and defines a hy-persurface in (n − 1)-dimensional projective space. When deg(P) = 2, the polynomial is quadratic and the corresponding hypersurface is quadric. We shall reserve the term " surface " for 3-dimensional affine or projective hypersurfaces. When the context… CONTINUE READING