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From: Matt Shepit <matt@sh...>  20111010 17:56:58

Hi Daniel, Thanks, that fixes that. As for those functions being "yours" I thought that you developed the code for them. I guess I misunderstood the person on #brlcad that pointed me to them in the first place. Cheers! Matt On Mon, Oct 10, 2011 at 10:48 PM, Daniel Roßberg < danielmrossberg@...> wrote: > I would read it as follows: The set of Points P(n) for which exist a > (real number) t(n) such that P(n) = P + t(n) . D. > I.e. >  (n) is an abstract index >  P is a point on the line (a vector), here usually the start point of > the raytrace ray >  t(n) is a real number (the parameter of the points on the line) >  D is a direction of the line (a vector), here usually the direction > of the raytrace ray (a line may have "many" directions: D, D and > (scalar) multiples of them; sometimes D = 1 is required) >  <scalar> . <vector> is the usual product where every vectorentry > get multiplied with the scalar > > > Regards > Daniel > > > > PS: I didn't know that ell.c or ehy.c are "mine" but there's always > something new to learn ;) > > 2011/10/9 Matt Shepit <matt@...>: > > Hi Daniel, > > To make sure I'm working on the same page as what's been done, I'm going > > through your functions ell.c and ehy.c. I *think* I've got the same > result > > as you, but I'm not totally sure as I don't follow one step in the > preamble. > > In particular, you have made the statement: > > ...consider the parametric line L: > > L : { P(n)  P + t(n) . D } > > > > and you go from there. The thing I'm unsure of is what this statement is > to > > be, as you don't state what n and D are, nor what the operation "." is > > supposed to indicate. > > As is, I'm reading this as L is the set of (parameterised) points P(n) > > restricted to P + t(n) . D. Presumably n is the collection of real > numbers, > > but what is the operation t(n) . D supposed to be? > > Thanks! > > Matt > > > > On Thu, Oct 6, 2011 at 6:14 PM, Daniel Roßberg > > <danielmrossberg@...> wrote: > >> > >> 2011/10/5 Christopher Sean Morrison <brlcad@...>: > >> > > >> > On Oct 5, 2011, at 11:54 AM, Daniel Roßberg wrote: > >> > > >> >> Unfortunately I've no resources at hand at the moment. I can't even > >> >> find Timothy's proposal for Google SoC 2008. > >> > > >> > Looks like access to all previous year GSoC projects is disabled now > >> > that GSoC for this year has ended. There is some information at > >> > http://brlcad.org/wiki/Revolve_Primitive > >> > > >> >> Nevertheless I can tell you something about the hyperbola: It's the > >> >> rotated ray. The idea was not to rotate every sketchsegment but > only > >> >> once the ray. This gives you a hyperbolic surface which has to be > >> >> intersected with every linesegment from the sketch. > >> > > >> > What makes it a hyperbolic surface? I don't dispute that it does, but > >> > I'm having trouble visualizing how that's true for a generalized > revolve > >> > surface. Take the simple case of a square revolved to make a cylinder >  > >> > wouldn't the ray path parameterized through the solid result in a > partial > >> > ellipse instead of a hyperbola? > >> > >> You may get an intersection point between the revolve and the > >> raytrace ray by rotating the sketch around the rotation axis until > >> one of it's lines intersects the ray. A modification of this attempt > >> is to generate parametrized surfaces from the sketch's > >> lines and intersect them with the ray. > >> > >> On the other hand you could rotate the raytrace ray around the > >> rotation axis as well and look for intersection points with the lines > >> from the sketch. After rotating them back onto the original ray you > >> get the desired intersection points. The surface described by the ray > >> rotated around the skew rotation axis (this is the usual orientation > >> of both lines) is a hyperbola. > >> > >> Daniel > >> > >> > >> > > >> > Cheers! > >> > Sean > >> > >> > >> >  > >> All the data continuously generated in your IT infrastructure contains a > >> definitive record of customers, application performance, security > >> threats, fraudulent activity and more. Splunk takes this data and makes > >> sense of it. Business sense. IT sense. Common sense. > >> http://p.sf.net/sfu/splunkd2dcopy1 > >> _______________________________________________ > >> BRLCAD Developer mailing list > >> brlcaddevel@... > >> https://lists.sourceforge.net/lists/listinfo/brlcaddevel > > > > > > >  > > All of the data generated in your IT infrastructure is seriously > valuable. > > Why? It contains a definitive record of application performance, security > > threats, fraudulent activity, and more. Splunk takes this data and makes > > sense of it. IT sense. And common sense. > > http://p.sf.net/sfu/splunkd2dcopy2 > > _______________________________________________ > > BRLCAD Developer mailing list > > brlcaddevel@... > > https://lists.sourceforge.net/lists/listinfo/brlcaddevel > > > > > > >  > All the data continuously generated in your IT infrastructure contains a > definitive record of customers, application performance, security > threats, fraudulent activity and more. Splunk takes this data and makes > sense of it. Business sense. IT sense. Common sense. > http://p.sf.net/sfu/splunkd2dcopy1 > _______________________________________________ > BRLCAD Developer mailing list > brlcaddevel@... > https://lists.sourceforge.net/lists/listinfo/brlcaddevel > 
From: Daniel Roßberg <danielmrossberg@go...>  20111010 11:48:07

I would read it as follows: The set of Points P(n) for which exist a (real number) t(n) such that P(n) = P + t(n) . D. I.e.  (n) is an abstract index  P is a point on the line (a vector), here usually the start point of the raytrace ray  t(n) is a real number (the parameter of the points on the line)  D is a direction of the line (a vector), here usually the direction of the raytrace ray (a line may have "many" directions: D, D and (scalar) multiples of them; sometimes D = 1 is required)  <scalar> . <vector> is the usual product where every vectorentry get multiplied with the scalar Regards Daniel PS: I didn't know that ell.c or ehy.c are "mine" but there's always something new to learn ;) 2011/10/9 Matt Shepit <matt@...>: > Hi Daniel, > To make sure I'm working on the same page as what's been done, I'm going > through your functions ell.c and ehy.c. I *think* I've got the same result > as you, but I'm not totally sure as I don't follow one step in the preamble. > In particular, you have made the statement: > ...consider the parametric line L: > L : { P(n)  P + t(n) . D } > > and you go from there. The thing I'm unsure of is what this statement is to > be, as you don't state what n and D are, nor what the operation "." is > supposed to indicate. > As is, I'm reading this as L is the set of (parameterised) points P(n) > restricted to P + t(n) . D. Presumably n is the collection of real numbers, > but what is the operation t(n) . D supposed to be? > Thanks! > Matt > > On Thu, Oct 6, 2011 at 6:14 PM, Daniel Roßberg > <danielmrossberg@...> wrote: >> >> 2011/10/5 Christopher Sean Morrison <brlcad@...>: >> > >> > On Oct 5, 2011, at 11:54 AM, Daniel Roßberg wrote: >> > >> >> Unfortunately I've no resources at hand at the moment. I can't even >> >> find Timothy's proposal for Google SoC 2008. >> > >> > Looks like access to all previous year GSoC projects is disabled now >> > that GSoC for this year has ended. There is some information at >> > http://brlcad.org/wiki/Revolve_Primitive >> > >> >> Nevertheless I can tell you something about the hyperbola: It's the >> >> rotated ray. The idea was not to rotate every sketchsegment but only >> >> once the ray. This gives you a hyperbolic surface which has to be >> >> intersected with every linesegment from the sketch. >> > >> > What makes it a hyperbolic surface? I don't dispute that it does, but >> > I'm having trouble visualizing how that's true for a generalized revolve >> > surface. Take the simple case of a square revolved to make a cylinder  >> > wouldn't the ray path parameterized through the solid result in a partial >> > ellipse instead of a hyperbola? >> >> You may get an intersection point between the revolve and the >> raytrace ray by rotating the sketch around the rotation axis until >> one of it's lines intersects the ray. A modification of this attempt >> is to generate parametrized surfaces from the sketch's >> lines and intersect them with the ray. >> >> On the other hand you could rotate the raytrace ray around the >> rotation axis as well and look for intersection points with the lines >> from the sketch. After rotating them back onto the original ray you >> get the desired intersection points. The surface described by the ray >> rotated around the skew rotation axis (this is the usual orientation >> of both lines) is a hyperbola. >> >> Daniel >> >> >> > >> > Cheers! >> > Sean >> >> >>  >> All the data continuously generated in your IT infrastructure contains a >> definitive record of customers, application performance, security >> threats, fraudulent activity and more. Splunk takes this data and makes >> sense of it. Business sense. IT sense. Common sense. >> http://p.sf.net/sfu/splunkd2dcopy1 >> _______________________________________________ >> BRLCAD Developer mailing list >> brlcaddevel@... >> https://lists.sourceforge.net/lists/listinfo/brlcaddevel > > >  > All of the data generated in your IT infrastructure is seriously valuable. > Why? It contains a definitive record of application performance, security > threats, fraudulent activity, and more. Splunk takes this data and makes > sense of it. IT sense. And common sense. > http://p.sf.net/sfu/splunkd2dcopy2 > _______________________________________________ > BRLCAD Developer mailing list > brlcaddevel@... > https://lists.sourceforge.net/lists/listinfo/brlcaddevel > > 