Compose 2D affine transform API

Compose translate/rotate/scale/shear operations into a single 3x3 homogeneous matrix and apply it to points, in listed order. Answers 'what is the combined transform matrix?', 'where do these points map to?'.

Price$0.03per request

MethodPOST

Route/v1/geometry/affine-2d

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

affinetransformmatrixtranslaterotatescaleshearhomogeneous2d

API URLhttps://x402.hexl.dev/v1/geometry/affine-2d

Integration docs

Example request

{
  "operations": [
    {
      "type": "translate",
      "tx": 1,
      "ty": 0
    },
    {
      "type": "rotate",
      "angleDeg": 90
    }
  ],
  "points": [
    [
      0,
      0
    ]
  ]
}

Example response

{
  "matrix": [
    [
      0,
      -1,
      0
    ],
    [
      1,
      0,
      1
    ],
    [
      0,
      0,
      1
    ]
  ],
  "transformedPoints": [
    [
      0,
      1
    ]
  ]
}

Input schema

{
  "type": "object",
  "required": [
    "operations"
  ],
  "properties": {
    "operations": {
      "type": "array",
      "items": {
        "type": "object"
      },
      "examples": [
        [
          {
            "type": "translate",
            "tx": 1,
            "ty": 0
          },
          {
            "type": "rotate",
            "angleDeg": 90
          }
        ]
      ]
    },
    "points": {
      "type": "array",
      "items": {
        "type": "array",
        "items": {
          "type": "number"
        }
      },
      "examples": [
        [
          [
            0,
            0
          ]
        ]
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}