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Dear all,

I know how interpolating curves using 1D Fourier tranform.

see http://www.mapleprimes.com/questions/121551-Fourier-Serie-And-Discrete-Fourier-Transform

How to use 2D Fourier transform to find a 2D Fourier series to interpolate surfaces as:

f := proc (x, y) options operator, arrow; sin(x)^2+cos(y)^2 end proc

plot3d(f(x, y), x = 0 .. Pi, y = 0 .. Pi)

Or surface data [x,y,f(x,y)].

Thank you

I'd like to plot a surface from three lists in the following way:

For each item in the list X we have a specific curve "plotted" in the plane Y vs Z.

In other terms, we have something like that: each X[i] will be related to two lists, say, Z[1], Z[2], Z[3] and Y[1], Y[2], Y[3], X[i+1] will be related to Z[4],Z[5],Z[6], and Y[4],Y[5],Y[6] and so on...

A very 'thin' surface following this would be, as a example:

X=[1,2]

Y=[[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]]

Z=[[20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49], [21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50]]

I am looking for some tutorial showing something similar but without any success. Please, any kind of help certainly will be absolutely very appreciated. Thanks in advance! Best regards,

 

 

Hi,

I want to draw a solid that lies under z=4+x^2-y^2 and the base is bounded by -1<=x<=1 and 0<=y<=2.

I tried the following, but does not look nice. The plane x=1 is outside of the surface boundary. I also used the range as -1<=x<=1.01, otherwise I can't see the plane.

Thanks for helping.

In a 3d coordinate system I have a circular spacecurve with z-minimum -4 and z-maximum +4. In the same 3d coordinate system I have a 3d surface plot with z-minimum -0.5 and z-maximum +1.3 . When I choose the color option "Z(Hue)" in order to color-code the z-values on the 3d surface and make the topography more clear, I mostly get a totally green 3d surface. It seems that the color scaling is coupled with the spacecurve with z-values of +-4 . How can I uncouple the color scaling from the spacecurve and couple it with the z-range of the surface, while the color-limits shall be at +-1.3 ?

Take a 3d plot of some uneven surface in the xyz space and you want to have the surface colored according to local z-coordinates (e.g. a valley is blue, a peak is red with all rainbow colors inbetween). For such a color-coding one can in principal select the plot option "Color->Z (Hue)". What do you do if the valley and the peak are still more or less green colored? How can you force the valley and peak to have different colors?

I have this surface which I display with the following commands:

     Belt:=plots[surfdata](Surface,color=C,labels=["x","y","z"]):

     display({...,Belt});

It all works, and the surface has nice default rainbow colors, but when I choose Color->Z (Hue) everything turns to green. Also when I manually write in the first of the above lines "color=["Blue","Red"]" the surface turns all red. The ranges of the x and y axis are larger than the z axis by a factor of about 50. Might this be the problem? How can I adjust the color ranges for my small z axis?

http://en.wikipedia.org/wiki/Hypersurface

http://people.cs.uchicago.edu/~niyogi/papersps/surfacesampling.pdf

hypersurface is a homogenous polynomial

f(x,y) = 0

i do not understand how sampling hypersurface can generate this kind of polynomial

 

a curve has residual p if it is linked, in a complete intersection, to a curve with residual p-1

0 residual if is a complete intersection of two surfaces

do complete intersection means two surfaces totally overlapped?

why they are not the same one if complete intersection?

How do you plot different kinds of data simultaneously in one graph? E.g. surfdata and spacecurve?

Hi,

How do you plot a list of values/an array into a surface?

E.g.

t = [seq(0+i*(2*evalf(Pi)*(1/10)), i = 0 .. 10)]

x:=[3,4,2*evalf(Pi), 7.83]:

y:=[2.5,4.3,6,2*evalf(Pi)+2]:

z:=[-2,0.3,1.5,evalf(Pi)]:

plot3d([x[i]*cos(t), x[i]*sin(t), y[i]*cos(t-z[i])],-10..10,-10..10);

 

 

I Want to plot only the intersection between this Surfaces 

 

z = sqrt(x^2+y^2)

y >= abs(x)

x^2+y^2+z^2 >= 4

x^2+y^2+z^2 <= 9

 

Anyone knows how ?

Thanks!

I currently have:

plot3d(78.9*x+49.1*y+15.7*(1-x-y), x = 0 .. 1, y = 0 .. 1)

I have ratios x, y and z and the ratio of z is implicit from the ratios of x and y (z=1-x-y), therefore whenever x+y>1 the surface is meaningless as it gives z as a negative ratio.

I want the surface to be plotted only for x+y<1, so something like:

plot3d(78.9*x+49.1*y+15.7*(1-x-y), x = 0 .. 1, y = 0 .. 1, x+y<1)

But I can't find a suitable command.

Thanks in advance,

Tom.

 

How can I plot a volume (many surfaces) in X,Y, Z axis where X,Y,Z are functions in 4 variables (a,b,c,d), and the domain for the 4 variables are 

-90<=a>=90, -10<=b>=10, -12<=c>=12, -90<=d>=0,

 

X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end procX := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc

Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc

Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc

Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc

Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc

I have 3 column vectors:

phi contains the number of radians from the North Pole

theta contains the number of radians from the Greenwich meridian

D contains number data corresponding to the point (phi,theta) on the sphere.

 

How do I plot:

a) a contour plot on the surface of the sphere where each point at (phi, theta) has a corresponding data value D?

b) a plot where the height above the surface at (phi, theta) is some linear function of D such as radius*D*constant?

Suppose i have an mx3 matrix M containing a 3D data where 1,2,3 columns are x,y,z coordinates.

Here is what i tried,

Statistics:-SurfacePlot(M[..,1],M[..,2],M[..,3]) does not produce what i want.

plots:-surfdata(M) plots what i want but only works when i use subset of the data for all the data it just hangs.

Statistics:-ScatterPlot3D(M, lowess, fitorder = 2) produces a smoothened version but i want the interpolated plot.

Please help. Here is one sample of the data i want to plot, Mdata.xlsxMdata.xlsx

 

Hi My main problem is that the new installer is ridiculously small that I cannot even press the buttons acuratley. I am running windows 8.1 on a Surface Pro 2. I had no problems installing maple 17.

 

I also ran into errors using the Bitrock installer 3 times, I am not even sure if it is installed correctly now.

 

is there anyway to get maple 18 without using the Bitrock installer?

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