> ## Documentation Index
> Fetch the complete documentation index at: https://doc.geekapis.com/llms.txt
> Use this file to discover all available pages before exploring further.

#  GPT-Image-2 

> 通过即刻API 调用 GPT-Image-2 模型，覆盖文生图（prompt 最长 32,000 字符）、单图参考与多图参考三种模式。支持 13 种宽高比与 1K/2K/4K 三档分辨率（4K 仅支持 6 种宽幅比例），最多 16 张参考图，异步任务返回。

## 接口说明

**端点：** `POST https://geekapis.com/v1/images/generations`

调用此接口，通过 GPT-Image-2 模型根据文字描述（及可选参考图）生成图像。接口采用**同步任务**模式——请求成功后立即返回一个结果。

支持三种使用模式：

* **文生图**：仅提供 `prompt`，由模型创作图像
* **单图参考**：提供 1 张参考图 + `prompt`，在参考图风格基础上生成
* **多图参考**：提供多张参考图（最多 4 张）+ `prompt`，融合多图生成

***

## 请求参数

### 认证

所有请求须在 Header 中携带 Bearer Token：

```text theme={null}
Authorization: Bearer YOUR_API_KEY
```

前往 [API Key 管理页面](https://geekapis.com/keys) 获取您的密钥。

### Body 参数

<ParamField body="model" type="string" required>
  图像生成模型名称。固定填写 `gpt-image-2`。

  示例：`"gpt-image-2"`
</ParamField>

<ParamField body="prompt" type="string" required>
  图像生成的文字描述。支持中英文，建议详细描述场景、风格、构图和光线。

  最长 **32,000** 个字符（OpenAI GPT Image 模型官方上限）。
</ParamField>

<ParamField body="size" type="string">
  输出图像的宽高比必须为具体清晰度，默认值：`"1024x1024"`。

  可用值取决于所选 `resolution`：

  * **1K ：1:1=1024x1024,  9:16=720x1280,  16:9=1280x720, 3:2=1248x832,**

  * **2K**：1:1=2048x2048, 9:16=1440x2560, 16:9=2560x1440, 3:2=2496x1664, 4:3=2304x1728, 3:4=1728x2304, 2:3=1664x2496，

  * **4K**：9:16=2160x3840, 16:9=3840x2160，

  * **1K ：1:1=1024x1024,  9:16=720x1280,  16:9=1280x720, 3:2=1248x832,**

  * **2K**：1:1=2048x2048, 9:16=1440x2560, 16:9=2560x1440, 3:2=2496x1664, 4:3=2304x1728, 3:4=1728x2304, 2:3=1664x2496，

  * **4K**：9:16=2160x3840, 16:9=3840x2160，

  也可传入 `"auto"`，由服务端根据 `prompt` 内容自动选择最合适的比例。
</ParamField>

<ParamField body="reference_images" type="string[]">
  参考图 URL 数组，用于图生图（推荐字段）。

  * 支持 PNG / JPG 格式，单张 ≤ 2MB
  * 最多 **4 张**
</ParamField>

***

## 代码示例

<CodeGroup>
  ```bash cURL（文生图） theme={null}
  curl --request POST \
    --url https://geekapis.com/v1/images/generations \
    --header 'Authorization: Bearer YOUR_API_KEY' \
    --header 'Content-Type: application/json' \
    --data '{
      "model": "gpt-image-2",
    "prompt": "一只橘猫坐在木质窗台上，阳光照进来，写实摄影风格",
    "n": 1,
    "size": "1024x1024",
    "response_format": "b64_json"
    }'
  ```

  ```bash cURL（图生图） theme={null}
  curl --request POST \
    --url https://geekapis.com/v1/images/generations \
    --header 'Authorization: Bearer YOUR_API_KEY' \
    --header 'Content-Type: application/json' \
    --data '{
      "model": "gpt-image-2",
      "prompt": "保持参考图人物形象，生成赛博朋克城市街头场景",
      "reference_images": [
        "https://example.com/character-ref.png"
      ],
      "size": "2560x1440",
      "resolution": "2K",
      "response_format": "url"
    }'
  ```

  ```python Python（文生图） theme={null}
  import base64
  import requests

  response = requests.post(
      "https://geekapis.com/v1/images/generations",
      headers={
          "Authorization": "Bearer YOUR_API_KEY",
          "Content-Type": "application/json",
      },
      json={
          "model": "gpt-image-2",
          "prompt": "未来城市夜景海报，霓虹灯，电影感构图",
          "response_format": "b64_json",
      },
      timeout=180,
  )

  response.raise_for_status()
  result = response.json()

  with open("output.png", "wb") as f:
      f.write(base64.b64decode(result["data"][0]["b64_json"]))

  print("已保存 output.png")
  ```
</CodeGroup>

***

## 响应示例

```json 200 OK theme={null}
{
  "created": 1782374531,
  "model": "firefly-gpt-image-2k-1x1",
  "data": [
    {
      "revised_prompt": "一只橘猫坐在木质窗台上，阳光照进来，写实摄影风格",
      "b64_json": "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
```

***
