If P is any point on your plane, n is the plane normal, and V_i is the ith vertex of your candidate triangle, then if (V_i - P) . n = 0 for all i, then your triangle lies on that plane. The point P fixes your reference plane from among the infinite parallel planes that all have the same normal n.
Vaidya >On Thu, 11 Sep 2003 16:08:35 +0530, Shyam Prakash <[EMAIL PROTECTED]> wrote: >George, > I believe this alone is not sufficient, there is one more >catch. Consider two triangle parallel to each other but lying on two >different planes(say with different z- depth). The below said algorithm >will fail in this case since the angle between these triangles will be >zero degrees but actually they are not on a single plane. > >Thanks >Shyam > >-----Original Message----- >From: Discussion list for Java 3D API >[mailto:[EMAIL PROTECTED] On Behalf Of George Perera >Sent: Thursday, September 11, 2003 3:58 PM >To: [EMAIL PROTECTED] >Subject: [JAVA3D] Antwort: Re: [JAVA3D] AW: [JAVA3D] Determining the >triangles lying on a plane > > >Hello Shyam ! > >you could calculate the angle between the normal to the triangles in >question ( one at a time of course) and the normal to your reference >plain. If this angle is within the tolerance you set then the triangles >are on the "same" plane. > >regards, >George > >------------------------------------------------------------------------ >--------------------------- >CONFIDENTIALITY : This e-mail and any attachments are confidential >and may be privileged. If you are not a named recipient, please notify >the sender immediately and do not disclose the contents to another >person, use it for any purpose or store or copy the information in any >medium. > ======================================================================= >=== To unsubscribe, send email to [EMAIL PROTECTED] and include in >the body of the message "signoff JAVA3D-INTEREST". For general help, >send email to [EMAIL PROTECTED] and include in the body of the >message "help". > > ========================================================================== >To unsubscribe, send email to [EMAIL PROTECTED] and include in the body >of the message "signoff JAVA3D-INTEREST". For general help, send email to >[EMAIL PROTECTED] and include in the body of the message "help". > =========================================================================== To unsubscribe, send email to [EMAIL PROTECTED] and include in the body of the message "signoff JAVA3D-INTEREST". For general help, send email to [EMAIL PROTECTED] and include in the body of the message "help".
