| OCR Text |
Show 8 since function any of order the polynomial is function, a algebraic linear For this simple case, the transforming simple both In solution, the as order of it. of cases first surface is plane. a by the simplest type function. order) The is: = + ax + by cz x = eu + fv + g Y = hu + iv + j z = ku + Iv + m there is a d + = 0 the or of case even straightforward of form algebraic parametric form. approximated is: form parametric be identified describes (or F(x,y,z) The in plane a then simplest type described of form is which the example, an surface This of function principle, polynomial of high enough degree. a surface the The As by closely arbitrarily in can, a closed surface the order higher form means to surfaces solution, may of the a not exist. Points in space are homogeneous coordinates coordinates. In this case the parametric form than rather the algebraic F(x,y,z,w) and represented sometimes becomes 0 their form by their physical becomes: |
