why the plotted function implicit doesn't have continuous surface?

the attached pciture is a rotated cylinder which is plotted with fimplicit3 command in the interval 0 1500

the problem is I dont know why the surface of cylinder is not continuous? I checked the shape in another software that plot it continously but in matlab I have some problem.

in another screen shot you see if I changed the constant of function the plot would be continuous

here is the command i used for the plot with problem:

f = @(x,y,z) (z-x).^2+(x-y).^2+(y-z).^2-1000000;
>> interval=[0 1500];
>> fimplicit3(f,interval)

[David Goodmanson]

Hi sahand, whatever else is going on, if you do the 1e6 case with an interval of [0 1500] up to [700 1500] in steps of 100, you at least get some nice patterns.

[sahand shams eshaghi]

thanks for replying.

I still have problem

f = @(x,y,z) (z-x).^2+(x-y).^2+(y-z).^2-1000000;

interval=[700 1500];

>> fimplicit3(f,interval)

shape has more invisible body

see the attachment

I also tried [100 1500] and other ranges

still same problem

step 100 you means increment of 100 from 0 to 700 for lower range?

Answer 1

[Matt J]

Try increasing the mesh density,

fimplicit3(f,[0,1500],'MeshDensity',55);

[sahand shams eshaghi]

thanks

it works perfectly now.

[sahand shams eshaghi]

is there any command in Matlab that without defining the range of plotted graph, the plotted graph be seen?

it means when I change the function costant I have to find the specific range inorder to see the shape? sometimes my interval is too small I cannot see the shape sometimes its too big as well..so by try and error I have to find the best range.

is there any command that finds the shape automatically and shows the plot? without try and error interval range?

Answer 2

[sahand shams eshaghi]

ok let me make my question simpler:

the interested funciton to be drawn in matlab is:

>> f = @(x,y,z) (z-x).^2+(x-y).^2+(y-z).^2-242 00 000 000;

by this function I have to increase the mesh size but it seems processor cannot run this for mesh size 400 or 500 or even more

is it any solution for this ?

seems alot of calculations involved and it takes more time