事实上，问这个问题的人张贴了他自己的答案。

“Vimeo似乎想让我发出一个HTTP请求，并从他们返回的XML中提取缩略图URL……”

Vimeo API文档在这里:http://vimeo.com/api/docs/simple-api

简而言之，你的应用程序需要像下面这样对一个URL发出GET请求:

http://vimeo.com/api/v2/video/video_id.output

并解析返回的数据以获得所需的缩略图URL，然后在该URL下载文件。

在javascript中(使用jQuery):

function vimeoLoadingThumb(id){    
    var url = "http://vimeo.com/api/v2/video/" + id + ".json?callback=showThumb";

    var id_img = "#vimeo-" + id;

    var script = document.createElement( 'script' );
    script.src = url;

    $(id_img).before(script);
}


function showThumb(data){
    var id_img = "#vimeo-" + data[0].id;
    $(id_img).attr('src',data[0].thumbnail_medium);
}

要显示它:

<img id="vimeo-{{ video.id_video }}" src="" alt="{{ video.title }}" />
<script type="text/javascript">
  vimeoLoadingThumb({{ video.id_video }});
</script>

这是一种快速巧妙的方法，也是一种选择自定义大小的方法。

我去这里:

http://vimeo.com/api/v2/video/[VIDEO ID].php

下载文件，打开它，找到640像素宽的缩略图，它的格式如下:

https://i.vimeocdn.com/video/[LONG NUMBER HERE]_640.jpg

你拿这个链接，把640改成——比如——1400，你就会得到这样的东西:

https://i.vimeocdn.com/video/[LONG NUMBER HERE]_1400.jpg

把它粘贴到你的浏览器搜索栏上，享受吧。

欢呼,

2020的解决方案:

我写了一个使用Vimeo Oembed API的PHP函数。

/**
 * Get Vimeo.com video thumbnail URL
 *
 * Set the referer parameter if your video is domain restricted.
 * 
 * @param  int    $videoid   Video id
 * @param  URL    $referer   Your website domain
 * @return bool/string       Thumbnail URL or false if can't access the video
 */
function get_vimeo_thumbnail_url( $videoid, $referer=null ){

    // if referer set, create context
    $ctx = null;
    if( isset($referer) ){
        $ctxa = array(
            'http' => array(
                'header' => array("Referer: $referer\r\n"),
                'request_fulluri' => true,
            ),
        );
        $ctx = stream_context_create($ctxa);
    }

    $resp = @file_get_contents("https://vimeo.com/api/oembed.json?url=https://vimeo.com/$videoid", False, $ctx);
    $resp = json_decode($resp, true);

return $resp["thumbnail_url"]??false;
}

用法:

echo get_vimeo_thumbnail_url("1084537");

我创建了一个code depen来为您获取图像。

https://codepen.io/isramv/pen/gOpabXg

HTML

<input type="text" id="vimeoid" placeholder="257314493" value="257314493">
<button id="getVideo">Get Video</button>
<div id="output"></div>

JavaScript:

const videoIdInput = document.getElementById('vimeoid');
const getVideo = document.getElementById('getVideo');
const output = document.getElementById('output');

function getVideoThumbnails(videoid) {
  fetch(`https://vimeo.com/api/v2/video/${videoid}.json`)
  .then(response => {
    return response.text();
  })
  .then(data => {
    const { thumbnail_large, thumbnail_medium, thumbnail_small } = JSON.parse(data)[0];
    const small = `<img src="${thumbnail_small}"/>`;
    const medium = `<img src="${thumbnail_medium}"/>`;
    const large = `<img src="${thumbnail_large}"/>`;
    output.innerHTML = small + medium + large;
  })
  .catch(error => {
    console.log(error);
  });
}

getVideo.addEventListener('click', e => {
  if (!isNaN(videoIdInput.value)) {
    getVideoThumbnails(videoIdInput.value);
  }
});

function getVimeoInfo($link)
 {
    if (preg_match('~^http://(?:www\.)?vimeo\.com/(?:clip:)?(\d+)~', $link, $match)) 
    {
        $id = $match[1];
    }
    else
    {
        $id = substr($link,10,strlen($link));
    }

    if (!function_exists('curl_init')) die('CURL is not installed!');
    $ch = curl_init();
    curl_setopt($ch, CURLOPT_URL, "http://vimeo.com/api/v2/video/$id.php");
    curl_setopt($ch, CURLOPT_HEADER, 0);
    curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
    curl_setopt($ch, CURLOPT_TIMEOUT, 10);
    $output = unserialize(curl_exec($ch));
    $output = $output[0];
    curl_close($ch);
    return $output;
}`

//在下面的函数传递缩略图url。

function save_image_local($thumbnail_url)
    {

         //for save image at local server
         $filename = time().'_hbk.jpg';
         $fullpath = '../../app/webroot/img/videos/image/'.$filename;

         file_put_contents ($fullpath,file_get_contents($thumbnail_url));

        return $filename;
    }