Xref: utzoo comp.graphics:3678 sci.math:4832 Path: utzoo!utgpu!watmath!clyde!att!osu-cis!tut.cis.ohio-state.edu!mailrus!purdue!decwrl!labrea!glacier!jbn From: jbn@glacier.STANFORD.EDU (John B. Nagle) Newsgroups: comp.graphics,sci.math Subject: Re: a torus is almost a quadric Message-ID: <17855@glacier.STANFORD.EDU> Date: 19 Nov 88 21:54:52 GMT References: <149@calmasd.GE.COM> Reply-To: jbn@glacier.UUCP (John B. Nagle) Organization: Stanford University Lines: 16 In article <149@calmasd.GE.COM> pjm@calmasd.UUCP (Pierre Malraison) writes: >Levin's work on quadrics provides nice ways of getting >exact solutions for q-q intersection curves in terms >of square roots of lowish degree polynomials. Reference, please. Can this work be extended to deformed superquadrics, along the lines of Pentland's Supersketch system? I spent some time trying to determine whether two deformed superquadrics intersected, and after about a month was able to reduce it to a messy quadratic programming problem but could get no further. Then I found out that one of Barr's students at UCLA was trying to solve the problem by using enclosing polyhedra. This, too, is messy. Is there a cleaner solution? John Nagle