Direct Method of Interpolation: Linear Interpolation

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  • เผยแพร่เมื่อ 24 ธ.ค. 2024

ความคิดเห็น • 61

  • @mrk9713
    @mrk9713 12 ปีที่แล้ว +5

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

  • @numericalmethodsguy
    @numericalmethodsguy  13 ปีที่แล้ว

    @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!

  • @numericalmethodsguy
    @numericalmethodsguy  13 ปีที่แล้ว +1

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

  • @myonlynick
    @myonlynick 11 ปีที่แล้ว +5

    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
      @numericalmethodsguy  7 ปีที่แล้ว

      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

  • @ShailenSobhee
    @ShailenSobhee 13 ปีที่แล้ว +1

    @numericalmethodsguy Are you the professor teaching in this video?

  • @Nnoshah
    @Nnoshah 14 ปีที่แล้ว +2

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

  • @numericalmethodsguy
    @numericalmethodsguy  13 ปีที่แล้ว +1

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

  • @LAnonHubbard
    @LAnonHubbard 13 ปีที่แล้ว +1

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

  • @numericalmethodsguy
    @numericalmethodsguy  13 ปีที่แล้ว +1

    @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.

  • @adnantamal6893
    @adnantamal6893 5 ปีที่แล้ว +1

    you are a life saver

  • @Sarah-nf2sc
    @Sarah-nf2sc 4 ปีที่แล้ว +1

    Thank you

  • @bryantgoll8868
    @bryantgoll8868 4 ปีที่แล้ว

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

  • @NiralShakya
    @NiralShakya 12 ปีที่แล้ว

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

  • @RABWA333
    @RABWA333 8 ปีที่แล้ว +3

    Thanks a lot , you made it very simple

  • @Nnoshah
    @Nnoshah 14 ปีที่แล้ว +2

    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
      @numericalmethodsguy  7 ปีที่แล้ว +2

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

  • @alimn2222
    @alimn2222 15 ปีที่แล้ว +1

    Thank you... this is very helpful

  • @DaruiAkaBlackNinja
    @DaruiAkaBlackNinja 13 ปีที่แล้ว

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

  • @aeromatt
    @aeromatt 15 ปีที่แล้ว +2

    thanks! i can finally interpolate tables

  • @AlanCarre
    @AlanCarre 10 ปีที่แล้ว

    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.

  • @matard2940
    @matard2940 4 ปีที่แล้ว

    these are very usefull, thank you

  • @davidjaluka2825
    @davidjaluka2825 11 ปีที่แล้ว +1

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

  • @Nnoshah
    @Nnoshah 14 ปีที่แล้ว +2

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

  • @evanmastermind
    @evanmastermind 10 ปีที่แล้ว

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

    • @MiljanBojovic
      @MiljanBojovic 10 ปีที่แล้ว +2

      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. :)

  • @Lucian86
    @Lucian86 12 ปีที่แล้ว +5

    Thank you sir for sharing all this ! High appreciation

  • @YoZZgAtLiii66
    @YoZZgAtLiii66 13 ปีที่แล้ว

    How can I get the -100.93 ?

  • @Dr.SahadevRoy
    @Dr.SahadevRoy 5 ปีที่แล้ว

    Very nice

  • @aniruddhavichare5425
    @aniruddhavichare5425 9 ปีที่แล้ว +3

    excellent

  • @ExceptionH
    @ExceptionH 11 ปีที่แล้ว +1

    thank you so much.

  • @MOSQUEPERROS
    @MOSQUEPERROS 13 ปีที่แล้ว

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

  • @sheharyarahmad7078
    @sheharyarahmad7078 9 ปีที่แล้ว +3

    Great

  • @emirhansisman1361
    @emirhansisman1361 10 ปีที่แล้ว +5

    Thank you maestro

  • @rovivruseurt7318
    @rovivruseurt7318 5 ปีที่แล้ว

    Gracias ✌

  • @numericalmethodsguy
    @numericalmethodsguy  15 ปีที่แล้ว +1

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

  • @GabiHeinz
    @GabiHeinz 15 ปีที่แล้ว +2

    Thx a lot :))

  • @sumitkanojia235
    @sumitkanojia235 4 ปีที่แล้ว

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

  • @gogogege2009
    @gogogege2009 11 ปีที่แล้ว +4

    thaaaanx

  • @villy8778
    @villy8778 14 ปีที่แล้ว +2

    thank you mr...

  • @md.abdullahal-alamin8059
    @md.abdullahal-alamin8059 8 ปีที่แล้ว +1

    good

  • @itsallovernowWD1945
    @itsallovernowWD1945 8 ปีที่แล้ว +3

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

  • @jamalan7417
    @jamalan7417 9 ปีที่แล้ว +2

    sick shit, thxs !

  • @wiibert
    @wiibert 13 ปีที่แล้ว

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

  • @opatolasamuel3604
    @opatolasamuel3604 6 ปีที่แล้ว

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

  • @wiibert
    @wiibert 13 ปีที่แล้ว

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

  • @Nnoshah
    @Nnoshah 14 ปีที่แล้ว +2

    @theonlyrealshark hahaha me too xDD

  • @vicky125able
    @vicky125able 10 ปีที่แล้ว +2

    Video quality isnt that good.

    • @TheChosenOne66501
      @TheChosenOne66501 6 ปีที่แล้ว +1

      It's from 2009...

    • @burakceylan9409
      @burakceylan9409 6 ปีที่แล้ว

      you dont watch porn men its fuckin whiteboard and stuff wtf

  • @abhaythakur8943
    @abhaythakur8943 7 ปีที่แล้ว

    l

  • @opatolasamuel3604
    @opatolasamuel3604 6 ปีที่แล้ว

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

  • @opatolasamuel3604
    @opatolasamuel3604 6 ปีที่แล้ว

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

  • @opatolasamuel3604
    @opatolasamuel3604 6 ปีที่แล้ว

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

  • @opatolasamuel3604
    @opatolasamuel3604 6 ปีที่แล้ว

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

  • @opatolasamuel3604
    @opatolasamuel3604 6 ปีที่แล้ว

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