I'd like to fill a curve in a ParametricPlot3D in the same way as I might with ListPointPlot3D; i.e.,

ListPointPlot3D[data, ColorFunction -> "Rainbow", Filling -> Bottom]

I obtained the data numerically, point-by-point, with matlab. I have found a parametric expression for $y$ ($y = f(x)$) and I have a function $F(x, y, z)$, but I want to plot $F$ only for the curve $y = f(x)$, i.e., the 3D surface is defined as

Plot3D[x^2 Sin[x] + y^2 Cos[y] - x y, {x, 0, 1}, {y, 0, 1}]

and I want to plot only the specific line of surface which satisfy $y = f(x) = x^2$ using

ParametricPlot3D[{x, x^2, x^2 Sin[x] + y^2 Cos[y] - x y /. y -> x^2}, {x, 0, 1}]

I'd like to add a filling, but I don't know how. When I type Filling ->, the Mathematica code editor complains (the text becomes red).

I'd like to fill a curve in a ParametricPlot3D in the same way as I might with ListPointPlot3D; i.e.,

ListPointPlot3D[data, ColorFunction -> "Rainbow", Filling -> Bottom]

I obtained the data numerically, point-by-point, with MATLAB. I have found a parametric expression for $y$ ($y = f(x)$) and I have a function $F(x, y, z)$, but I want to plot $F$ only for the curve $y = f(x)$, i.e., the 3D surface is defined as

Plot3D[x^2 Sin[x] + y^2 Cos[y] - x y, {x, 0, 1}, {y, 0, 1}]

and I want to plot only the specific line of surface which satisfy $y = f(x) = x^2$ using

ParametricPlot3D[{x, x^2, x^2 Sin[x] + y^2 Cos[y] - x y /. y -> x^2}, {x, 0, 1}]

I'd like to add a filling, but I don't know how. When I type Filling ->, the Mathematica code editor complains (the text becomes red).

I'd like to fill a curve in a ParametricPlot3D in the same way of ListPointPlot3D, i.e

ListPointPlot3D[data, ColorFunction -> "Rainbow", Filling -> Bottom]

Indeed I obtained data numerically point-by-point with matlab, now I found a parametric expression for y (y = f(x)) and I have a function F(x,y,z), but I want to plot F only for the curve y = f(x), i.e the 3d surface is defined as

Plot3D[x^2 Sin[x] + y^2 Cos[y] - x y, {x, 0, 1}, {y, 0, 1}]

and I want to plot only the specific line of surface which satisfy y=f(x) = x^2, i.e using

ParametricPlot3D[{x, x^2, x^2 Sin[x] + y^2 Cos[y] - x y /. y -> x^2}, {x, 0, 1}]

Now I'd like to add the filling option, but I don't know how (when I write "Filling ->" the text becomes red). Thanks in advance for all suggestions.

Petrus

I'd like to fill a curve in a ParametricPlot3D in the same way as I might with ListPointPlot3D; i.e.,

ListPointPlot3D[data, ColorFunction -> "Rainbow", Filling -> Bottom]

I obtained the data numerically, point-by-point, with matlab. I have found a parametric expression for $y$ ($y = f(x)$) and I have a function $F(x, y, z)$, but I want to plot $F$ only for the curve $y = f(x)$, i.e., the 3D surface is defined as

Plot3D[x^2 Sin[x] + y^2 Cos[y] - x y, {x, 0, 1}, {y, 0, 1}]

and I want to plot only the specific line of surface which satisfy $y = f(x) = x^2$ using

ParametricPlot3D[{x, x^2, x^2 Sin[x] + y^2 Cos[y] - x y /. y -> x^2}, {x, 0, 1}]

I'd like to add a filling, but I don't know how. When I type Filling ->, the Mathematica code editor complains (the text becomes red).