Cone and Conical Frustum Unwrap 1-20  21-40  41-44

 From: bemfarmer 16 Sep 2013  (1 of 44)
 Looked into unwrap for a cone, and used MoI to make a sketch of some of the mathematics. Unwrap gives the circumference length of a circle. Flow of the unwrap line to a circle with the slant height radius "s" creates the unwrapped base. The formulas are also said to work for cylinders. The conical frustrum is a cone with the "top" cut off. Two references are archaeological. The papers are free on the internet. Unwrapping Highly-Detailed 3D Meshed of Rotationally Symmetric Man-Made Objects Bastian Rieck, Hubert Mara, and Susanne Kr..omker Rollouts of Fine Ware Pottery using High Resolution 3D Meshes S. Bechtold and S. Krömker and H. Mara and B. Kratzmüller Unwrapping Curves from Cylinders and Cones Tom M. Apostol and Mamikon A. Mnatsakanian May try to do a script. - Brian EDITED: 19 Sep 2013 by MICHAEL GIBSON Attachments:

 From: DannyT (DANTAS) 17 Sep 2013  (2 of 44)
 6175.2 In reply to 6175.1 Hi Brian, Very cool! a script would be an interesting project, meanwhile here's the method I was taught whilst training as a draughtsman on the drawing board way way back, it's the graphical method. If anyone needs more detail I can make a video. Cheers ~Danny~ Attachments:

 From: DannyT (DANTAS) 17 Sep 2013  (3 of 44)
 Unwrapping truncated cone solution, again using the graphical method. Cheers ~Danny~ Attachments:

 From: BurrMan 17 Sep 2013  (4 of 44)
 6175.4 In reply to 6175.3 Here's me....

 From: bemfarmer 17 Sep 2013  (5 of 44)
 6175.5 In reply to 6175.3 Thanks Danny. Excellent graphical method. Should help doing a script. So the apex of the cone is a single point for both wrapped and unwrapped objects. The apex is obtainable by user selection for a cone, or by intersection for a frustrum or some other portion of a cone. I wonder what portion of a cone, or truncated cone, can be extracted by MoI, just by selecting the whole cone. There is the "seam," the base radius and/or circle, maybe the apex, edges, heights... Or else have the user select the different parts... Handles curves on the cone. I'd like to try and use MoI Nurbs commands as much as possible, and be able to apply it to cone-like objects? Also apply it to intersections with other shapes, like pipe ducts? But first, just handle the basic shapes. - Brian

 From: Frenchy Pilou (PILOU) 17 Sep 2013  (6 of 44)
 @Danny About the "troncated" Method Does the "blue curve" is building by "Nurbs" curves along the intersections of the gride ? How are the nature of the extremities of this curve ? No tangent, tangent,... EDITED: 17 Sep 2013 by PILOU

 From: bemfarmer 17 Sep 2013  (7 of 44)
 6175.7 In reply to 6175.6 Miscellaneous Curves on a cone can be mapped to an unwrapped version. I do not know how this mapping would be done with NURBS, but imagine that there would be mathematical equations to do so? - Brian

 From: Michael Gibson 17 Sep 2013  (8 of 44)
 6175.8 In reply to 6175.7 Hi Brian, > I do not know how this mapping would be done with NURBS, but imagine that > there would be mathematical equations to do so? There often isn't a simple exact NURBS curve result for calculations like this, instead usually it's a matter of sampling points and fitting a curve through those points, using enough sample points until the fit result is within a good enough tolerance of the "ideal" procedurally defined result. - Michael

 From: Frenchy Pilou (PILOU) 17 Sep 2013  (9 of 44)
 Unwrap curve + Function Flow can't make that automatically ? :) EDITED: 17 Sep 2013 by PILOU

 From: DannyT (DANTAS) 17 Sep 2013  (10 of 44)
 6175.10 In reply to 6175.6 Hi Pilou, > Does the "blue curve" is building by "Nurbs" curves along the intersections of the gride ? Yes, I used Freeform curve through points. > How are the nature of the extremities of this curve ? No tangent, tangent,... I don't know I'll have to check it was something I did quickly without checking tangency, back in the day of the drawing board we used French Curves to draw through the intersection points. - ~Danny~

 From: Michael Gibson 17 Sep 2013  (11 of 44)
 6175.11 In reply to 6175.9 Hi Pilou, > Unwrap curve + Function Flow can't make that automatically ? :) Unwrap curve makes lines, not arcs... So no that won't quite do the exact same job. - Michael

 From: Karsten (KMRQUS) 18 Sep 2013  (12 of 44)
 6175.12 In reply to 6175.10 Hello DannyT, I've made some experiments with the flow command. And it looks like that it works (I don't really checked it allready) . The important point is how the target surface is created. I've made it with the sweep with two arcs as rails (so it works only with truncated???- sorry about my english). So the U_V-parameters of the cone should be mapped to this targed. Kind regards Karsten p.s.:Great software!!! Attachments:

 From: Frenchy Pilou (PILOU) 18 Sep 2013  (13 of 44)
 6175.13 In reply to 6175.12 Cool Flow method! ;) But Original Cone's edge is 13.4164079 Plan cone's Edge unwrap result is 13.4100000 Does this acceptable ? I am always amazed that tools are named "French curves"! Have you some some info about that ? In France we name these tool "Pistolet" (pistol, gun in English) or "Perroquet" (parot in English)

 From: DannyT (DANTAS) 18 Sep 2013  (14 of 44)
 6175.14 In reply to 6175.4 @ Burr, great method! nice video demo dude. I'm still laughing when you said "I can't really follow that stuff, I've lost my mind" Cheers ~Danny~

 From: DannyT (DANTAS) 18 Sep 2013  (15 of 44)
 6175.15 In reply to 6175.12 Hi Karsten, > I've made some experiments with the flow command. I like your method with flow it's very close. Cheers ~Danny~

 From: DannyT (DANTAS) 18 Sep 2013  (16 of 44)
 6175.16 In reply to 6175.13 Hi Pilou, > I am always amazed that tools are named "French curves"! That's what us English speaking Designers and Draughtsmen have always known them as http://en.wikipedia.org/wiki/French_curve. There are flexible curves as well, which came later http://tinyurl.com/pzdbm2t Cheers ~Danny~

 From: Frenchy Pilou (PILOU) 18 Sep 2013  (17 of 44)
 6175.17 In reply to 6175.16 Yes but I never find something about this curious origin of this particular name! :) maybe the snail'shell curvature ? :) A big mystery for me! :)