Distance a from point in R3 to a surface defined by a parametric curve and a radius function?
$begingroup$
I'm interested in studying the class surfaces defined by:
Take an arbitrary parametric curve
f : {0..1} -> ℝ3.Pick an arbitrary radius function
r : {0..1} -> ℝ.A point
pinℝ3is part of this surface if, for somet : {0..1},dist(f(t), p) = r(t).
Where dist is the usual vectorial distance function dist(a,b) = (b - a) · (b - a).
I'll call that kind of surface a tube for a lack of a better name. Given a tuple (f, r) representing a tube and a point p in ℝ3, is there a function D((f,r), p) that returns the minimum distance between p and any point in (f,r)?
geometry vectors 3d surfaces
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
$endgroup$
add a comment |
$begingroup$
I'm interested in studying the class surfaces defined by:
Take an arbitrary parametric curve
f : {0..1} -> ℝ3.Pick an arbitrary radius function
r : {0..1} -> ℝ.A point
pinℝ3is part of this surface if, for somet : {0..1},dist(f(t), p) = r(t).
Where dist is the usual vectorial distance function dist(a,b) = (b - a) · (b - a).
I'll call that kind of surface a tube for a lack of a better name. Given a tuple (f, r) representing a tube and a point p in ℝ3, is there a function D((f,r), p) that returns the minimum distance between p and any point in (f,r)?
geometry vectors 3d surfaces
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
$endgroup$
add a comment |
$begingroup$
I'm interested in studying the class surfaces defined by:
Take an arbitrary parametric curve
f : {0..1} -> ℝ3.Pick an arbitrary radius function
r : {0..1} -> ℝ.A point
pinℝ3is part of this surface if, for somet : {0..1},dist(f(t), p) = r(t).
Where dist is the usual vectorial distance function dist(a,b) = (b - a) · (b - a).
I'll call that kind of surface a tube for a lack of a better name. Given a tuple (f, r) representing a tube and a point p in ℝ3, is there a function D((f,r), p) that returns the minimum distance between p and any point in (f,r)?
geometry vectors 3d surfaces
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
$endgroup$
I'm interested in studying the class surfaces defined by:
Take an arbitrary parametric curve
f : {0..1} -> ℝ3.Pick an arbitrary radius function
r : {0..1} -> ℝ.A point
pinℝ3is part of this surface if, for somet : {0..1},dist(f(t), p) = r(t).
Where dist is the usual vectorial distance function dist(a,b) = (b - a) · (b - a).
I'll call that kind of surface a tube for a lack of a better name. Given a tuple (f, r) representing a tube and a point p in ℝ3, is there a function D((f,r), p) that returns the minimum distance between p and any point in (f,r)?
geometry vectors 3d surfaces
geometry vectors 3d surfaces
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
asked Jan 20 at 0:03
MaiaVictorMaiaVictor
535311
535311
add a comment |
add a comment |
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