Autor Tópico: A Bigger Mathematical Picture for Computer Graphics  (Lida 408 vezes)

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Offline LarryWalker

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A Bigger Mathematical Picture for Computer Graphics
« em: Janeiro 03, 2018, 14:23:53 pm »
Hi,
Compare that to the response of the Geometric Algebra IK example on my page. There's no flips, jumps or unexpected behavior. The implementation contains not a single 'if' statement. This can only be done in GA, where for example lines always intersect (parallel lines intersect in infinity), where all elements and linear operators are of the same type, and where a true coordinate free (no .x .y or .z in my code ..) and chirality free (no left/right hand rule needed in GA), pay of in much easier formulas and much much shorter code. (and that's on top of the fact that many problems are near impossible to solve when working directly with matrices or eulers or take your pick .. )
Geometric Algebra should be a lot more popular than it is. But its inventor (Clifford) died at an early age, leaving room for Hamilton to advertise and push his vector algebra down everyone's throat .. it took 100 years for people to pick up GA again and it still hasn't gained the momentum it should. (just anecdotal, Maxwell's 4 famous equations reduce to a single compact, simple and readable equation when expressed within the framework of GA.)

Thanks!

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......Editado.....

Offline marcosbr

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Re: A Bigger Mathematical Picture for Computer Graphics
« Responder #1 em: Janeiro 03, 2018, 14:32:32 pm »
 Boa tarde.
Eu poderia editar/apagar todo o conteúdo! Mas deixei para que entenda que não admitiremos propaganda em tópicos!
Grato pela sua presença, e qualquer duvida pode ser respondida no chat/MP/Contato!
Deus nos concede, a cada dia, uma página de vida nova no livro do tempo. Aquilo que colocarmos nela, corre por nossa conta. (Chico Xavier)