POV-Ray : Newsgroups : povray.newusers : (vector) sum of two objects : Re: (vector) sum of two objects Server Time
31 Jul 2024 06:14:10 EDT (-0400)
  Re: (vector) sum of two objects  
From: Achill
Date: 24 Apr 2003 03:54:02
Message: <3EA79802.1050002@ma.tum.de>
>>>In my knowledge sum of sets is
>>>A+B = { x : x in A or x in B }
>>>which can be union{} or merge{} object in POV.
>>
>>I did not mean "union". Although, the (vector) sum can be viewed as the 
>>union of all possible vector additions a+b with vectors a in A and b in B.
> 
> 
> I have never seen practical usage of it (can you deliver some url references ?)

I do not know of a concrete "practical usage" either. My main idea was 
to visualize the mathematical defintion of the vector sum (also known as 
Minkowski sum, see http://mathworld.wolfram.com/MinkowskiSum.html) of 
two arbitrary sets.

Besides I think this would give some nice effects. For example a general 
"rounding" by adding a sphere.


> but the only solution I can imagine is script based solution. First make some
> smart macro to achive array with grid of points of result based on two input
> patterns/objects/arrays. Then turn it into density file and render as
> media/isosurface.

I am not familiar with "povray's insides". Nevertheless, thank you very 
much for these hints. I will further think about your suggestions, after 
  I know more...

Achill


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