An warware: lep

Linear Interpolation, wanda aka fi sani da Lerp, hanya ce da ake amfani da ita don ƙididdige maki da ke tsakanin wasu maki biyu akan layi ko lankwasa. Ana amfani da wannan fasaha sosai a fagage daban-daban kamar zanen kwamfuta da haɓaka wasan. A cikin wannan labarin, za mu zurfafa zurfi cikin abin da Lerp yake da kuma yadda ake aiwatar da shi a Java.

Lerp Kalma ce ta lissafi wacce ke tsaye ga tsaka-tsakin layi. Hanya ce ta samar da ƙima daga sanannun ƙima guda biyu, waɗanda aka ba da maƙasudi tsakanin su biyun. Wannan na iya zama mai rikitarwa, amma ainihin ra'ayi ne mai sauƙi. Ana amfani da haɗin linzamin linzamin kwamfuta a cikin zane-zane na kwamfuta don kimanin bayanai inda babu cikakkun bayanai, kuma a cikin ci gaban wasa, don ƙirƙirar raye-raye da sauyawa.

public class Lerp {
  public static float lerp(float point1, float point2, float fraction) {
    return (1 - fraction) * point1 + fraction * point2;
  }
}

Fahimtar Ayyukan Lerp

Don ƙarin fahimtar yadda Lerp yana aiki, wannan aikin yana ɗaukar sigogi uku: aya1 da aya2, waɗanda ke wakiltar sanannun ƙima biyu waɗanda muka ambata a baya, da juzu'i, wanda ke wakiltar tazara tsakanin maki biyu. Sakamakon sabon abu ne wanda ke kan sashin layi wanda ya haɗu da maki biyu, dangane da tazarar juzu'i.

Ayyukan yana da sauƙi kuma yana aiki kamar haka:
1. Da farko yana ƙididdige nisa daga aya 1 zuwa ƙarshen ƙarshen (idan an yi la'akari da batu1 a matsayin wurin farawa), kamar dai juzu'i yana wakiltar kashi ɗaya na dukan sashin layi.
2. Sannan yana lissafin nisa daga wurin farawa zuwa wurin da ake buƙata.
3. A ƙarshe, yana ƙara waɗannan nisa biyu tare don samun sakamako na ƙarshe.

Bari mu yi nazarin wannan da misali:

public class Main {
  public static void main(String[] args) {
    float point1 = 1.0f;
    float point2 = 2.0f;
    float fraction = 0.5f;
    float result = Lerp.lerp(point1, point2, fraction);
    System.out.println("The interpolated point is: " + result);
  }
}

Dakunan karatu na Java don Interpolation

Yayin da Java ba shi da ginanniyar ɗakin karatu don haɗa kai, akwai ɗakunan karatu na ɓangare na uku da yawa waɗanda ke ba da cikakkiyar goyan baya ga nau'ikan interpolation daban-daban, gami da tsaka-tsakin layi. Laburaren Lissafi na Apache Commons ɗaya ne irin wannan ɗakin karatu wanda ke ba da ɗimbin ayyuka na lissafi, gami da adadin hanyoyin shiga tsakani.

Wani mashahurin zaɓi shine ɗakin karatu na Jzy3d don zane-zane na 3D, wanda ke ba da kayan aiki don tsaka-tsaki na layi da mara daidaituwa tsakanin sauran fasalulluka.

Kammalawa

Matsakaicin layi (Lerp) kayan aiki ne mai ƙarfi a fagage da yawa da suka haɗa da rayarwa da haɓaka wasa, zane-zanen kwamfuta, kimiyyar lissafi, da ƙididdiga, don suna kaɗan. Mun bincika ainihin manufarsa, yadda yake aiki, da yadda za a iya aiwatar da shi a Java. Wannan kawai yana zazzage saman ne, kamar yadda Lerp kuma ana iya ƙara shi zuwa 2D da 3D, wanda ya sa ya zama kayan aiki mafi ƙarfi. Ka tuna, yin aiki shine mabuɗin sarrafa kowane ra'ayi, don haka ci gaba da yin coding da gwaji!