api/v2似乎已经死了。 为了使用新的API，您需要注册应用程序，base64将client_id和client_secret编码为授权标头。

$.ajax({
    type:'GET',
    url: 'https://api.vimeo.com/videos/' + video_id,
    dataType: 'json',
    headers: {
        'Authorization': 'Basic ' + window.btoa(client_id + ":" + client_secret);
    },
    success: function(data) {
        var thumbnail_src = data.pictures.sizes[2].link;
        $('#thumbImg').attr('src', thumbnail_src);
    }
});

为了安全起见，您可以返回已经从服务器编码的client_id和client_secret。

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>

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;
    }

来自Vimeo Simple API文档:

视频请求

为了获得特定视频的数据， 使用以下url: http://vimeo.com/api/v2/video/video_id.output video_id需要信息的视频ID。 指定 输出类型。我们目前提供JSON， PHP和XML格式。

获取这个URL http://vimeo.com/api/v2/video/6271487.xml

    <videos> 
      <video> 
        [skipped]
        <thumbnail_small>http://ts.vimeo.com.s3.amazonaws.com/235/662/23566238_100.jpg</thumbnail_small> 
        <thumbnail_medium>http://ts.vimeo.com.s3.amazonaws.com/235/662/23566238_200.jpg</thumbnail_medium> 
        <thumbnail_large>http://ts.vimeo.com.s3.amazonaws.com/235/662/23566238_640.jpg</thumbnail_large> 
        [skipped]
    </videos>

解析每个视频以获得缩略图

下面是PHP的近似代码

<?php

$imgid = 6271487;

$hash = unserialize(file_get_contents("http://vimeo.com/api/v2/video/$imgid.php"));

echo $hash[0]['thumbnail_medium'];