| OCR Text |
Show 10 is matrix the generated by (x matrix the where of operation of T of transformation w) z y product: is surfaces transformation the transformation. accomplished by matrix the w') z' y' the represents polynomials defining the (x' T and the The linear some coefficients surface. Boundary Checking defined surface A stretch of such These boundaries definition point on the In into space that forms of a for is F surface defined those less auxilliary than of FI>=O F. divides define of set a points than zero itself a piece auxilliary the patch are same order or on satisfy: functions that with is surfaces. surface To regions. those and F2, F=O The these boundary greater The zero. of whether function is F of the parametric where that intersected is which vs algebraic than less it the case, between boundary FI, algebraic outside form The curves. or as boundaries. determination the inside regions, two functions as is surface algebraic where the such the modelled various at space boundary and the potentially may typically are off form then different slightly and of objects sliced surfaces pieces a Real infinity. to solely by functions are The F2>=O ... typically space of curves Fn>=O the formed by the patch |