Direct Method of Interpolation: Linear Interpolation

[@mrk9713]

You just awesome! Best maths teacher you ever seen! Keep up sharing this valuable informations!

[@Sarah-nf2sc]

Thank you

[@RABWA333]

Thanks a lot , you made it very simple

[@myonlynick]

nice video.but in an exam time is limited,i need a FAST SOLUTION and here it is: provided that we have a linear system as the video suggests, step1=> (t=20) - (t=15) = 5, so five steps from 15 up to 20 step2=> (100%)/5=20% , yes it is number 5 from step one step3=> v(16)=362.78+20%(517.35-362.78)=393,69. BAM! so fast! the secret behind step 3: from number 362.78 move up by 20%. WHY 517.35-362.78? Because, 517.35-362.78=154.57 which corresponds to 100% increase from 362.78,but i want only 20%.

[@numericalmethodsguy]

Just use linear newtons' divided difference polynomial. Given (x1,y1) and (x2,y2) as two data pairs, the straight line equation is y=(y2-y1)/(x2-x1)*(x-x1)+y1

[@adnantamal6893]

you are a life saver

[@Nnoshah]

I liked it !!!!!! Very helpful !! Thanks alot

[@matard2940]

these are very usefull, thank you

[@alimn2222]

Thank you... this is very helpful

[@numericalmethodsguy]

@Doctorwhorage The linear direct method is to setup the basis for doing direct method interpolation using higher order polynomials. You should look at the Newton Divided Difference polynomial method playlist at the numericalmethodsguy channel for your approach!

[@Lucian86]

Thank you sir for sharing all this ! High appreciation

[@sourabhdannyp5519]

Good clarification

[@AlanCarre]

An excellent resource for demystifying the general fog around especially "cubic (Hermite) curve interpolation" is this one by "Nils Pipenbrinck" which comes up right away in any Google search and consists of about 2, mostly blank, pages. But here it is anyway: cubic.org/docs/hermite.htm . From Hermite curve interpolation between two points he constructs a semi-generalized cubic spline algorithm that any school child should be able to understand. The famed "Catmull-Rom" spline being a special case said splines.

[@suresridhar9421]

Thank u .very nice

[@aeromatt]

thanks! i can finally interpolate tables

[@numericalmethodsguy]

@DaruiAkaBlackNinja It is a straight line in this case, but let's not confuse regression with interpolation.

[@numericalmethodsguy]

@YoZZgAtLiii66 Solve the two equations and two unknowns. You could use Gaussian elimination method. Go to numericalmethods(dot)eng(dot)usf(dot)edu and click on Keyword> Gaussian Elimination > Textbook chapter.

[@bryantgoll8868]

Sir, what is the name of the book you are using?

[@Nnoshah]

Yes i got the same result :D:D Thanks again !

[@Dr.SahadevRoy]

Very nice

[@Nnoshah]

Oh ya instead of doin ur method we can just use slop formula y2-y1=m(x2-x1) solving for m then choosing the neart point and substitutin in this Eq. y2=m(x2-x1)+K where K is the wanted value am i right ?? :D

[@numericalmethodsguy]

You are right. We are talking about methods here, not shortcuts.

[@ShailenSobhee]

@numericalmethodsguy Are you the professor teaching in this video?

[@ExceptionH]

thank you so much.

[@emirhansisman1361]

Thank you maestro

[@aniruddhavichare5425]

excellent

[@NiralShakya]

Thank you sir! I have 1 question. How to find value of for Continuous tabular data!

[@LAnonHubbard]

@MOSQUEPERROS Feeding "x + 15y=362.78,x+20y=517.35" to WolframAlpha gives the same result as the video.

[@sheharyarahmad7078]

Great

[@GabiHeinz]

Thx a lot :))

[@rovivruseurt7318]

Gracias ✌

[@itsallovernowWD1945]

Nice lecture I don't have to use a calculator i've got good estimates

[@numericalmethodsguy]

@MOSQUEPERROS Please put down your matlab code for me to look at!

[@DaruiAkaBlackNinja]

Hi!, is that formula v(t)=a0 + a1*t same as the equation of regression line???

[@jamalan7417]

sick shit, thxs !

[@villy8778]

thank you mr...

[@numericalmethodsguy]

Made in the USA - a rarity nowadays! University of South Florida.

[@davidjaluka2825]

after 6:00 everything bounced off my head.....what you said? what's that last mathode you did in those [] [] brackets ?????

[@gogogege2009]

thaaaanx

[@evanmastermind]

Does anyone know how this applies to alpha blending with lerp?

[@MiljanBojovic]

Alpha is usually a float value from 0 to 1 in blending functions. So Alpha is basically the position between A and B. Let's say you have: A=50 and B=100. if your alpha is 0.5, then you'll get 75, because 0.5 is half of Alpha value which leads to a result that is the value that stands in middle of A to B. I hope this helped. I guess you are blending textures, so Alpha value will make the pixel at a certain position of both texture to find a middle value... still if your Alpha is 0.5. if Texture A is white and B is Black, then the Alpha of 0.5 will give you a grey pixel. :)

[@md.abdullahal-alamin8059]

good

[@sumitkanojia235]

Sir, what is the difference between the Piece-wise interpolation and direct method of interpolation? are these two the same?

[@YoZZgAtLiii66]

How can I get the -100.93 ?

[@MOSQUEPERROS]

I use matlab with this example and my solution to a0 & a1 are: -85.9300 29.9140 do you know why?

[@wiibert]

1:57 let's see what it's all about

[@opatolasamuel3604]

sir I need you to show the steps in getting the Ao and Ai please

[@Nnoshah]

@theonlyrealshark hahaha me too xDD

[@wiibert]

@Nnoshah this is used in newtons divided differences (but I'm retarded and can't get -100 anywhere out of this)

[@abhaythakur8943]

l

[@vicky125able]

Video quality isnt that good.

[@TheChosenOne66501]

It's from 2009...

[@burakceylan9409]

you dont watch porn men its fuckin whiteboard and stuff wtf

[@opatolasamuel3604]

sir I need you to show the steps in getting the Ao and Ai please

[@opatolasamuel3604]

sir I need you to show the steps in getting the Ao and Ai please

[@opatolasamuel3604]

sir I need you to show the steps in getting the Ao and Ai please

[@opatolasamuel3604]

sir I need you to show the steps in getting the Ao and Ai please

[@opatolasamuel3604]

sir I need you to show the steps in getting the Ao and Ai please