How do I plot the surface so its connecting the points rather that passing though them? (3D Plot)

Hi there,

Im relatively new to Matlab so please bear in mind.

I want my plot (left image) too look similar to the reference plot (right image).

I have my data in an excel file and i have tried a 3D plot to replicate this. I've used the code help guidance to obtain the following image on the left however as you can see the surface isnt connecting the dots like the reference image has. In which case how do i do this? Any help is appreciated.

My code is as follows:

clc

clear all

dataset1 = xlsread('Optimum Parameters.xlsx','3D Plot Data','D5:F200');

rin = dataset1 (:,1);

Thick = dataset1 (:,2);

Temp = dataset1 (:,3);

figure

sf = fit([Thick,rin],Temp,'poly55');

plot(sf,[Thick,rin],Temp)

xlabel('Thickness, mm')

ylabel('r_i_n, mm')

zlabel('Temperature increase, °C')

Thank you

[Ameer Hamza]

Can you share the data? Also, are you sure that the surface on the right is also made using poly55?

[Harry Cornell]

Hi Ameer,

Thank you for your reply. Im not sure how that plot was made. Im not even sure if I am meant to use the ploy function, it is just what I saw in one of the help files. So I could be completely wrong.

The data is relatively long but here it is. I have attached the excel file.

Answer 1

[Ameer Hamza]

Without knowing the equation of the surface, it is quite difficult to recreate the result in the image. For example, you can try cubicinterp. It fits all the points, but still, it does not looks the same.

clc
clear all
dataset1 = xlsread('Optimum Parameters.xlsx','3D Plot Data','D5:F200');
 
rin = dataset1 (:,1);
Thick = dataset1 (:,2);
Temp = dataset1 (:,3);

figure
sf = fit([Thick,rin],Temp,'cubicinterp');
plot(sf,[Thick,rin],Temp)
xlabel('Thickness, mm')
ylabel('r_i_n, mm')
zlabel('Temperature increase, °C')

See if the equation of that surface is mentioned in that book.