I'm looking for a neat formula to find the center of a circle in 3D through 3 points. I also need a good way to display it, preferably thickened so I can show several and see whether they are linked, etc. To my surprise I did not find anything on the Wolfram sites about these problems. (I have Mathematica 7, if that matters.)

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5/12/2014 4:43:01 AM

Hi pys, Here is a C++ 3D module based on actors, you can load it in lua, android JNI and of course python. It includes matrix and vector classes with rotate and translate code. See the README and HACKING files for more information. http://sourceforge.net/projects/pycplusplus3d Enjoy, Turtle Wizard -- Time heals. My blog : http://thediaryofelvishhealer.blogspot.com ...

Surfaces that appear fine in Mathematica aren't accepted to be printed by: ( *.obj,*.dxf,*.stl,...others) http://www.shapeways.com/ or need to be repaired at: http://www.sculpteo.com/ http://www.sculpteo.com/en/gallery/public/user/rlbagulatftn/ I give an example of one that Mathematica 8 failed on yesterday from my old work TFTN: (* b=c=1 torus cycloid*) (* b=2,c=1 baseball seam *) (* by R. L. BAGULA 10 JULY 1997=A9 *) a:=10; b=2; c=3; Clear[f,g ] f[t_]=Cos[t]; g[t_]=Sin[t] ; gr=ParametricPlot3D[{f[t] f[p/b]-(a+g[t])*g[p/c], ((a+g[t])*f[p/c]+f[t] g[p/b]) f[p/b], ((a+g[...

I have 3 light sources on the ceiling that form an equilateral triangle. I'm on the floor looking at them with some kind of high res device so I have rather accurate x-y (angles) coordonates for these 3 points (0.01� rms). From this, I want to precisely compute my position and the orientation. Does anybody knows where I can find some usable formula for this. Before I spend the night doing the maths ;-) Thanks Marc "Marc Battyani" <Marc.Battyani@fractalconcept.com> writes: > I have 3 light sources on the ceiling that form an equilateral triangle. With an equilat...

Hi to all, i would like to know if i can create a 3d model of the face of a person without using a 3D scanner. Could i use a normal digital photo camera??? Thanks Yeap you sure can, Its called structure from motion, you need to take several images from different angles, calculate the F matrix for the camera parameters of each camera, detect features common in all images (try harris corners) reproject the features from the images or view frame into some common view frame, triangulate the features (aka vertexes), taking into account reprojection errors etc and your done. Arash Partow ___...

Does somebody know why I get different behaviour for the following commands in a commandline session of mathematica 7 or inside a notebook? It also seems to be different in different Mathematica versions for the notebook format. See http://www.risc.jku.at/people/hemmecke/mathematica/ for the notebook files for Mathematica 5.2, 6.0, 7.0. Can someone explain the General::dupsym: The symbol Array with context A` already exists. message? Why does that message appear at all? If A`Array exists, then Mathematica should just use it, shouldn't it? According to http://reference.wol...

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Assuming one needs to have a function returning false or true on each call in pseudo-random order.and using JavaScript native Math.random() method as the basis of the pseudo-randomness. Say the variants of such function are: getAnswer1() { var n = Math.round(Math.random()); return n ? true : false; } getAnswer2() { var n = Math.floor(Math.random()*2); return (n==2) ? true : false; } Leaving obvious practical testing by platforms aside: Is there are theoretical considerations that pseudo-randomness (predictability) of either of above will be better or worse than the o...

I taught a group of 32 smart high school kids some Mathematica this week, at the Vermont Governor's Institute in Mathematical Sciences, aka Math Camp. This is my second year doing it, and it's a ton of fun. I had the kids an hour a day in one of our computer equipped classrooms, and this year we added some additional optional computer time in the late afternoons so they could come back and continue working / playing around. (Last year some of them wanted more time, but there was no time in the schedule when they could come back.) You might enjoy looking at graphs and a...

Hello, I have a video that is 1k by 1k pixels. I have created a stack that is 1k by 1k by the number of frames. What i would like to do is get a single 1k by 1k image that corrosponds to an operater such as the sum in the z direction. ie An image that shows the sum of the values through all the frames. What is the syntax to perform an operation in the z direction of a matrix? Thanks JML jml wrote: > > > Hello, > > I have a video that is 1k by 1k pixels. > > I have created a stack that is 1k by 1k by the number of frames. > > What i would like to do is get a sing...

c33 returns the center of a circle thru 3 points in 3 dimensions. c33[{p1_,p2_,p3_}] := With[{q1 = p1-p3, q2 = p2-p3, q3 = p1-p2}, p3 + ((q2.q2)*(q3.q1)*q1 - (q1.q1)*(q3.q2)*q2)/(2 #.# & @ Cross[q1,q2])] c33 is a closed-form version of c3n, which returns the center of a circle thru 3 points in n dimensions. c3n[{p1_,p2_,p3_}] := Block[{q1 = p1-p3, q2 = p2-p3, c,w1,w2}, c = w1*q1 + w2*q2; p3 + c /. Flatten@Solve[ {c.c == #.#&[q1-c], c.c == #.#&[q2-c]},{w1,w2}]] ----- Ste[hen Gray <stevebg@roadrunner.com> wrote: > I'm looking for a neat formula to find ...

hi, I know, this is not the perfect newsgroup to ask for, but worth a try :) I'm in need of a math library which should have those features in descending order (from important to less imporant): * free * small! (only vecs 2d and 3d, matrices quaternions and stuff to manipulate and create those) * left-handed (the Direct3D-way) * bug free and completed (no alpha or such) * portable * OO, (speek: syntactic shugar) * a syntax like this: vector3 v(1.0, 2.0, 3.0); v.normalize(); matrix4 m; m.make_rotation(blah, foo, bar); vector3 v2 = v * m; // and so on and so on I...

Hi, I am going to fulfil a lifelong dream and will embark on a long distance physics university course in autumn after spending most of my working life as a professional musician in the abstract world of music. For this endeavour I have to brush up and recover my long lost maths basics. After discovering and trying out Mathematica I have purchased the home version of this amazing program which, after spending some time with it, I consider to be the swiss knife of everything. I would like to ask for recommendations about what would be the best way to use the program...

On 3/23/10 at 4:23 AM, hemmecke@gmail.com (hemmecke) wrote: >Does somebody know why I get different behaviour for the following >General::dupsym: The symbol Array with context A` already exists. >message? Why does that message appear at all? If A`Array exists, >then Mathematica should just use it, shouldn't it? >According to >http://reference.wolfram.com/mathematica/tutorial/Contexts.html we >have: >`name a symbol in the current context >So why is Mathematica complaining? The message is not telling you the symbol exists in the current cont...

Can anyone help me with how to determine aspect and elevation angles. I have x,y,z,roll,pitch,yaw data for an object in space and need to work what aspect and elevation would observed from another fixed point in 3d space. If anyone has done this or has some sample code I would me most grateful. ...

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