Good explanation. However, there are a few things you should know when you try to implement this: - There are two mistakes in the second to last line on slide at minute 28. The line should read Ni,1(u) = 1 if ti
1. Calculate the B spline for K=2. 2. Show that the interpolation of quadratic spline at the knots is not unique. 3. Determine the existence and uniqueness of quadratic spline at the knots.
I don't know why but the intro looks like the soviet videos where they show the development and stuff happening in the country xD But yes, I have my exam in a week, and thank you soo much for these great lectures !! :D
Thank you so much!! Can we not force a non-uniform Bezier, not nurbs, pass through a point without changing the properties of the curve, i.e, not changing the degree it is continuous.
Thank you! I'm working on level curve in QGis and I'm using Multilevel b-spline interpolation. What's the difference with B-spline curve? And How does b-spline curve work with level curve (find z=constant)) thank you :)
Hi everyone! I've been working with NURBS for the past 7 months and I'm having difficulties when trying to understand the "rules" of the KNOT VECTOR. I would very much appreciate any kind of help! A suggestion of a web page or a document would be extremely helpful, good luck to everyone.
At 16:00 I can see 4 orange dots for K = 3, how the labeling of k is done sir? Will it start with Ko, then, k1, k2, and k3 or k1, k2, k3 for k=3 problem Sir
Sir what are the differences between sub intervals and segments? For d = n =3, the knot contain n+d+1 = 7 knot values gives 6 subintervals what does it mean sir. Ref. Computer graphics Hearn and Baker 2nd edition
all the implementations I've seen for range of u to be n + 1 (control points) + k (degree of fit). Have not seen anywhere that it would subtract the degree from the control points.
At minute 23:19, 2nd ,3rd and 4th equations have mistakes. The second term in all the three is multiplied with u which is wrong..Instead of 0.5u ,only 0.5 will be there.---.as per my derivation.....nd also i have cross checked from other reliable sources.
Nothing is wrong here, please have a look at 34.50, u is a variable which must be input to the equation in small increments. For example if the range of u is from 0 to 1, then there could be 100 values which can define the curve, ie; 0, .01 , .02, .03......., .11, .12............., .99, 1
n+1 = no. of control points k = no. of control points affecting each line segments n-k+2 = no. of line segments if we set k=n+1, no. of line segments = 1, no. of points affecting that 1 line segment = k = n+1, all control points affect that line segment Does this make the B-spline a Bezier Curve?
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Good explanation. However, there are a few things you should know when you try to implement this:
- There are two mistakes in the second to last line on slide at minute 28. The line should read Ni,1(u) = 1 if ti
Do you have an implementation for this? I also tried to implement that without success...
You mean Ni,0, not Ni,1.
abhi aap kaun si job kar rahe ho sir?
NPTEL is best for higher studies, no foreign university can beat it!
1. Calculate the B spline for K=2.
2. Show that the interpolation of quadratic spline at the knots is not unique.
3. Determine the existence and uniqueness of quadratic spline at the knots.
Very clear and simple explanation . make my life easy
Thank you! It's amazing! Far better than our lecturer's classes.
@Ort Braude College
this is too good sir, thanks to elaborate on b-spline curve
I don't know why but the intro looks like the soviet videos where they show the development and stuff happening in the country xD But yes, I have my exam in a week, and thank you soo much for these great lectures !! :D
At 10:03, the number of control points is n+1 and not n. This can be inferred from the index going from 0 to n
HE IS THE THE DEAL
Very nice explanation
Loved it
I wish NITs could had these teacher.
Absolutely amazing. Brilliant.....Brilliant.....Brilliant
what an explanation, simply great
Thanks ! Very easy to understand.
Excellent lecture, very clearly explained. Thank you.
Very clear and informative
100th like is mine........Nice Lecture.....
very nice sir. Plz tell me the difference b/w spline and b-spline .
Thank you so much!! Can we not force a non-uniform Bezier, not nurbs, pass through a point without changing the properties of the curve, i.e, not changing the degree it is continuous.
Excellent lecture. However the intro music will make many people think it's a lecture from the 1950s. Better to just start the lecture.
Thanks a lot for uploading these videos, Its really helpful & with detailed explanation...
abhi aap kaun si job kar rhe ho sirr?
Big thanks to you!
Very Nice representation. Thank you!
Great lecture Sir thank you very much
Thank you! I'm working on level curve in QGis and I'm using Multilevel b-spline interpolation. What's the difference with B-spline curve? And How does b-spline curve work with level curve (find z=constant)) thank you :)
Nice expalnation sir...Thank you.. Sir, can you please exaplain box spline alongwith one or two example??
Greetings for the lecture . I also wanted to ask for the title of the music playing for tge first 5 seconds. Thank you.
Kejriwal looks so different without his muffler...
🤣🤣🤣
Hi everyone! I've been working with NURBS for the past 7 months and I'm having difficulties when trying to understand the "rules" of the KNOT VECTOR. I would very much appreciate any kind of help! A suggestion of a web page or a document would be extremely helpful, good luck to everyone.
nice dude.........very nice bro
Thank you Sir! The lecture was very valuable
Here it is mentioned that number of segment will be n-k+2, but in books it is mentioned as n+k subintervals. Please clarify this
thank you very very much it is really helpfull
Great lecture. Thank you for uploading.
abhi aap kaun si job kar rhe sir?
@@adiraaz7736, hardware development at VersaBox
At 16:00 I can see 4 orange dots for K = 3, how the labeling of k is done sir? Will it start with Ko, then, k1, k2, and k3 or k1, k2, k3 for k=3 problem Sir
Sir what are the differences between sub intervals and segments? For d = n =3, the knot contain n+d+1 = 7 knot values gives 6 subintervals what does it mean sir. Ref. Computer graphics Hearn and Baker 2nd edition
correction at 9:58 - there are n+1 control points
all the implementations I've seen for range of u to be n + 1 (control points) + k (degree of fit). Have not seen anywhere that it would subtract the degree from the control points.
why would we prefer this lesser number of knots?
very important , thank you
good lecture sir
Thank you
well explained
amazing lecture! :)
Ni,k(u) = 1 if ti
0
Love you sir
dhanybad sir g
how can we define n for b-spline curve
At minute 23:19, 2nd ,3rd and 4th equations have mistakes. The second term in all the three is multiplied with u which is wrong..Instead of 0.5u ,only 0.5 will be there.---.as per my derivation.....nd also i have cross checked from other reliable sources.
Nothing is wrong here, please have a look at 34.50, u is a variable which must be input to the equation in small increments. For example if the range of u is from 0 to 1, then there could be 100 values which can define the curve, ie; 0, .01 , .02, .03......., .11, .12............., .99, 1
n+1 = no. of control points
k = no. of control points affecting each line segments
n-k+2 = no. of line segments
if we set k=n+1, no. of line segments = 1, no. of points affecting that 1 line segment = k = n+1, all control points affect that line segment
Does this make the B-spline a Bezier Curve?
nice lecture