On 02/04/2025 22:30, Bald Eagle wrote:

>> Parameterizing is usually difficult - if not impossible for complex implicit
>> equations.
>> I'd try a variety of software packages / approaches:  Maple, etc.
>> 

Thanks for advice, as I said in my previous post, there are a lot of
'ready-to-use' solutions, for example, suggested by Wolfram Alpha,
and I am happy with them.


>> Since you have MatLab:
>> 
>>
https://www.researchgate.net/publication/318476279_Algorithm_976_Bertini_real_Numerical_Decomposition_of_Real_Algebraic
>>
_Curves_and_Surfaces/download?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ
>> 
>>
https://www.researchgate.net/publication/4278665_Interactive_Ray_Tracing_of_Arbitrary_Implicits_with_SIMD_Interval_Arit
>>
hmetic/download?_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6Il9kaXJlY3QiLCJwYWdlIjoiX2RpcmVjdCJ9fQ
>> 
>> Bezier patches and Bernstein polynomials!  :)
>> https://cad-conference.net/files/CAD24/CAD24_334-338.pdf

Yes, I have, but MathView is based on WebGL, has no relation to
ray tracing, but in general this stuff is interesting.
-- 
YB

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