Azimuthal projection: txhais, hom thiab kev faib tawm

Cov txheej txheem:

Azimuthal projection: txhais, hom thiab kev faib tawm
Azimuthal projection: txhais, hom thiab kev faib tawm
Anonim

Txhawm rau hloov cov duab ntawm cov khoom peb sab, nws yog qhov yuav tsum tau siv qhov projection tshwj xeeb. Hauv daim duab kos duab, muaj ntau hom kev kwv yees rau ntau qhov chaw ntawm lub ntiaj teb saum npoo. Ib tug ntawm lawv yog lub azimuthal projection.

projection yog dab tsi?

Kev kwv yees yog ib txoj hauv kev hloov cov duab peb sab mus rau qhov chaw tiaj tus. Nyob rau tib lub sijhawm, kev hloov pauv tau ua nrog kev ua raws li kev cai lej thiab kev cai nruj kom txo tau qhov cuam tshuam ntawm kev cuam tshuam.

azimuthal qhov projection
azimuthal qhov projection

Distortions tshwm sim nyob rau hauv txhua rooj plaub, tsuas yog lawv hom yuav txawv. Nyob ntawm seb lub hom phiaj ntawm qhov tshwm sim ntawm cov duab tiaj tus, ib yam ntawm qhov projection yog siv, uas yog ua raws li nws tus kheej cov cai thiab muab ib tug ntawm cov hom ntawm distortion.

Kev kwv yees tau siv dav tshaj plaws hauv kev npaj cov duab qhia chaw thiab cov phiaj xwm ntawm lub ntiaj teb nto ntawm ntau qhov ntau thiab tsawg. Cartography kuj muaj nws tus kheej hom projection, txhua tus muaj lub hom phiaj sib txawv.

Siv rau daim npav

Txawm tias thaum ub los, tib neeg pib tsim cov duab ntawm lub ntiaj teb. Cov ntaub ntawv ntawm lawv tsis tiav, cuam tshuam loj heev, thiab hauv qee qhov chaw txawm tiasyuam kev. Cov continents ntawm daim ntawv qhia qub tau loj heev, cov duab ntawm ntug dej hiav txwv tsis sib haum rau qhov tseeb. Txij thaum ntawd los, cov txheej txheem ntawm daim ntawv qhia tau hloov pauv ntau, txhim kho nws txoj hauv kev, tab sis nws tseem tsis tuaj yeem tshem tawm tag nrho cov kev cuam tshuam niaj hnub no.

azimuth projection ntawm lub ntiaj teb
azimuth projection ntawm lub ntiaj teb

Txoj kev hloov pauv tus qauv ntawm Lub Ntiaj Teb yog lub ntiaj teb. Nws zoo dua qhia txog cov duab thiab qhov loj ntawm lub ntiaj teb, xa nws qhov chaw hauv daim ntawv tiag tiag. Lub ntiaj teb, txawm li cas los xij, yog daim duab peb sab, thiab tsis yog ib txwm yooj yim rau kev ua lej tshwj xeeb thiab daws teeb meem. Tsis tas li ntawd, nws tsis yooj yim rau kev thauj mus los. Daim duab qhia chaw tiaj tus zoo dua rau cov hom phiaj saum toj no, txawm hais tias nws muab cov ntaub ntawv raug tsawg dua.

Yam kev kwv yees

Txog hnub tim, muaj peb yam tseem ceeb ntawm kev kwv yees hauv daim duab kos duab, nyob ntawm seb hom meridians thiab qhov sib npaug. Txhua tus ntawm lawv, ntxiv rau, muaj nws tus kheej subspecies raws li qhov chaw ntawm lub dav hlau projecting thiab qhov xwm ntawm qhov distortion.

  1. Cylindrical projection. Yog tias peb xav txog tias lub ntiaj teb tuaj yeem nyob ib puag ncig los ntawm lub dav hlau uas haum snugly rau txoj kab equatorial thiab sawv cev rau daim duab ntawm lub tog raj kheej, peb tuaj yeem muab lub ntsiab lus ntawm ntau yam no. Thaum npaj, cov meridians ntawm daim ntawv yuav yog cov kab ncaj sib txuas ntawm ib qho ntawm cov ncej, thiab cov kab sib luag yuav yog cov kab ncaj nraim mus rau ib leeg. Qhov me me distortion yuav raug pom nyob rau ntawm txoj kab nruab nrab, thiab qhov loj tshaj plaws - ntawm tus ncej.
  2. Conic projection. Nws yog tsim thaum lub dav hlau zoo li lub khob hliav qab kov lub ntiaj teb. ATNyob rau hauv cov ntaub ntawv no, cov parallels yuav qhia nyob rau hauv daim ntawv qhia raws li concentric voj voog, thiab lub meridians raws li lawv radii. Qhov me me distortions tseem yuav raug soj ntsuam ntawm cov ntsiab lus ntawm kev sib cuag ntawm lub dav hlau nrog lub pob ntawm lub ntiaj teb, thiab qhov loj tshaj plaws - ntawm qhov chaw ntawm lawv qhov loj tshaj plaws tshem tawm.
  3. Azimuthal projection. Tsim thaum lub dav hlau kov lub ntiaj teb. Thaum projecting, lub dav hlau tsis tau tsuas yog kov, tab sis kuj hla lub ntiaj teb, uas kuj yog ib yam ntawm cov azimuthal projection. Nyob rau hauv cov ntaub ntawv no, cov parallels kuj yuav pom raws li concentric voj voog nyob deb ntawm ib leeg, thiab lub meridians raws li lawv radii. Hauv qhov no, lub kaum sab xis ntawm cov meridians uas nyob ib sab yuav zoo ib yam li qhov sib txawv ntawm qhov ntev ntawm qhov chaw teev tseg.
azimuthal map projection
azimuthal map projection

Tseem kuj muaj kev pom zoo, sab nraud zoo ib yam li ib qho ntawm peb pawg ntawm kev kwv yees, tab sis ua raws li lwm txoj cai lij choj. Cov no suav nrog polyconical, pseudocylindrical, ntau yam.

Azimuthal projection

Lub azimuthal qhov projection ntawm lub ntiaj teb tau dhau los ua qhov dav vim yog kev khaws cia ntawm azimuth ntawm cov kab ntawm cov duab uas tshwm sim tsis muaj kev cuam tshuam. Lub ntsiab lus los ntawm qhov projection yog hu ua qhov pom. Qhov taw tes ntawm kev sib cuag ntawm lub ntiaj teb nrog lub dav hlau hu ua qhov chaw sib cuag.

azimuth projections saib
azimuth projections saib

Muaj cov kab hauv daim duab qhia chaw uas muaj qhov sib txawv ntawm qhov sib txawv. Lawv hu ua isocoles. Ntawm daim duab tau txais hauv daim duab qhia chaw azimuth, cov isocoles zoo liconcentric vajvoog. Distortions nce nrog kev ncua deb ntawm qhov chaw ntawm kev sib cuag ntawm lub dav hlau thiab lub ntiaj teb. Yog li ntawd, qhov taw tes kov nws tus kheej muaj qhov tseeb tshaj plaws.

Distortion types

Azimuthal qhov projection tuaj yeem ua tau ntau yam nyob ntawm lub hom phiaj ntawm daim ntawv qhia tshwm sim. Cov kev sib txawv ntawm hom kev cuam tshuam uas tshwm sim los ntawm kev hloov cov duab mus rau lub dav hlau.

  1. thaj chaw sib npaug - qhov kev kwv yees uas thaj chaw, qhov ntau thiab tsawg, qhov ntev ntawm cov khoom raug khaws cia, tab sis cov ces kaum thiab cov duab hloov pauv zoo heev. Feem ntau siv los daws cov teeb meem cuam tshuam nrog kev suav ntawm qhov muaj nuj nqis.
  2. Equilateral - qhov projections uas tawm ntawm cov ces kaum ntawm cov khoom yuav luag tsis hloov, tab sis distort lawv qhov ntau thiab tsawg.
  3. Equidistant - qhov kev kwv yees, uas ob lub kaum sab xis thiab thaj chaw ntawm cov khoom raug cuam tshuam, tab sis qhov ntsuas raws lub ntsiab trajectory tau khaws cia. Lawv feem ntau yog siv hauv geoinformatics thiab computer systems.
  4. Arbitrary - qhov kev kwv yees uas tuaj yeem cuam tshuam tag nrho cov kev txwv tsis pub dhau rau qib sib txawv, nyob ntawm lub hom phiaj thiab lub hom phiaj ntawm daim ntawv qhia. Lawv tau siv rau ntau lub hom phiaj, piv txwv li, hauv kev ua dej hiav txwv los txiav txim txog txoj hauv kev thiab kev taug kev. Ntawm daim duab qhia chaw no, thaj av loj ntawm Eurasia tuaj yeem muaj qhov loj tib yam li Australia.

Projection subtypes

Dhau li ntawm hom kev cuam tshuam, muaj lwm cov ntsiab lus ntawm qhov kev ua tau zoo. Nyob ntawm qhov no, pawg sub ntawm hom azimuth projection yog qhov txawv.

transverse azimuth projection
transverse azimuth projection

Nyob ntawm txoj haujlwm ntawm tangent lossis secantprojection planes yog:

  1. Polar - daim duab dav hlau kov lub ntiaj teb ntawm qhov taw tes ntawm ib tus ncej.
  2. Transverse - daim duab dav hlau kov lub ntiaj teb ntawm kab kab.
  3. Slanting - daim duab dav hlau kov lub ntiaj teb nyob rau lwm qhov chaw (hauv txoj kab nruab nrab ntawm 0 txog 90 degrees).

Nyob ntawm qhov chaw ntawm qhov pom, muaj:

  • central - lub ntsiab lus los ntawm qhov kev kwv yees tau ua nyob hauv nruab nrab ntawm lub ntiaj teb;
  • stereographic - qhov pom ntawm qhov deb ntawm qhov chaw sib cuag ntawm qhov deb sib npaug ntawm txoj kab uas hla ntawm lub ntiaj teb;
  • external - taw tes ntawm kev pom tshem tawm ntawm lub ntiaj teb ntawm txhua qhov kev ncua deb;
  • orthographic - tsis muaj qhov pom lossis nws raug tshem tawm mus rau qhov deb tsis kawg, thiab qhov projection tau ua tiav siv cov kab sib txuas.

Feem ntau ntawm cov saum toj no yog Lambert azimuth, polar thiab transverse projections.

Lambert projection

Lub Lambert sib npaug thaj tsam azimuthal projection tau ua nyob rau ntau qhov chaw ntawm lub ntiaj teb. Nws tso cai rau koj txuag nrog me me distortions ntawm cheeb tsam thiab lawv txoj kev sib raug zoo, tab sis zoo heev hloov cov ces kaum thiab cov duab. Cov nplai ntawm daim duab qhia chaw nyob rau hauv cov kev taw qhia ntawm meridians thiab parallels yuav hloov nyob rau hauv ntau txoj kev. Thaum koj txav deb ntawm qhov chaw, nws yuav txo qis kab rov tav los ntawm 0.7 npaug, thiab nce vertically los ntawm 1.4 npaug.

Rau ib daim ntawv qhia ua nyob rau hauv xws li ib tug projection, lub equator thiab nruab nrab meridian yuav qhia raws li cov kab ncaj nraim rau ib leeg. Lwm yam meridians thiab parallelsyog kab convex.

Kev kwv yees tuaj yeem ua tau ob qho tib si los tsim cov duab qhia chaw ntawm cheeb tsam polar (qhov projection ib txwm) thiab tsim cov duab qhia ntawm txhua cheeb tsam (equatorial thiab oblique projection).

Qhov kev kwv yees tuaj yeem npog thaj tsam loj, yog li nws yog siv los qhia tag nrho cov teb chaws, cheeb tsam, thiab hemispheres. Nws yog dav siv los tsim cov duab qhia chaw ntawm sab hnub poob thiab sab hnub tuaj hemispheres vim muaj qhov tsis sib haum xeeb tsawg. Kuj tseem siv rau qhov projection mus rau lub dav hlau ntawm African sab av loj. Qhov tsis zoo yog qhov loj distortions uas tshwm sim tawm ntawm ntug dej hiav txwv ntawm Eurasia.

Daim ntawv qhia ua hauv Lambert qhov projection feem ntau yog siv hauv cov phau ntawv geography.

Polar projection

Polar thaj tsam ntawm lub ntiaj teb tsis tuaj yeem ua tsis tau nrog kev cuam tshuam tsawg kawg hauv ib qho cylindrical lossis conic projection. Daim duab dav hlau, raws li txoj cai, yuav luag tsis kov Arctic thiab Antarctica, thiab thaj chaw no tau kos nrog qhov yuam kev loj heev hauv qhov loj thiab cov duab. Txawm li cas los xij, lub polar azimuth qhov projection tso cai rau koj los tsim cov duab tseeb ntawm cov polar aav ntawm qhov chaw tiaj tus.

polar azimuth projection
polar azimuth projection

Nyob rau hauv cov ntaub ntawv no, lub point ntawm kev sib cuag coincides nrog rau sab qaum teb los yog sab qab teb ncej los yog nyob ze rau lawv. Meridians ntawm daim ntawv qhia yog piav raws li cov kab ncaj emanating los ntawm nruab nrab ntawm daim ntawv qhia. Parallels yog concentric lub voj voog, qhov kev ncua deb ntawm uas nce nrog kev ncua deb ntawm kev sib cuag.

Kev hloov pauv

Transverse azimuth projectionsiv los tsim daim duab qhia chaw ntawm sab hnub poob thiab sab hnub tuaj hemispheres.

azimuth projection ntawm lambert
azimuth projection ntawm lambert

Qhov kev sib txawv tsawg tshaj plaws hauv qhov no tshwm sim ntawm txoj kab nruab nrab thiab thaj chaw nyob ze, thiab qhov loj tshaj plaws - ntawm tus ncej. Yog li ntawd, txhawm rau tsim daim duab qhia ncej, nws yog qhov tsim nyog siv qhov kev kwv yees sib txawv txhawm rau tsim cov ntaub ntawv raug dua.

thov kev pom zoo

Qhov kev kwv yees azimuthal yog ib qho ntawm cov phiaj xwm tseem ceeb tshaj plaws. Nws yog qhov tsim nyog rau ob qho tib si rau kev kos duab loj ntawm lub ntiaj teb saum npoo av, thiab tsim cov duab qhia chaw ntawm tus kheej lub teb chaws lossis cov teb chaws. Qhov no yog qhov tseem ceeb heev vim tias lwm txoj hauv kev hloov cov duab mus rau lub dav hlau - cylindrical thiab conical xaiv - tsuas yog haum rau lub hemispheres lossis tag nrho thaj chaw ntawm lub ntiaj teb.

Kev xaiv xaiv

Kev xaiv hom kev kwv yees nyob ntawm cov pab pawg xws li:

  1. Qhov chaw, cov duab thiab qhov loj ntawm daim duab qhia chaw.
  2. Lub hom phiaj thiab lub hom phiaj ntawm kev tsim daim ntawv qhia.
  3. Hom kev ua haujlwm uas yuav daws tau los ntawm daim npav.
  4. Tus yam ntxwv ntawm qhov kev xaiv qhov projection - tus nqi ntawm qhov tsis sib xws, nrog rau cov duab ntawm cov meridians thiab cov sib npaug.

Qhov tseem ceeb ntawm yam tuaj yeem txiav txim siab hauv ib qho kev txiav txim, nyob ntawm qhov xwm txheej thiab lub hom phiaj ntawm kev ua haujlwm.

Pom zoo: