webmcp-tda.pages.dev

{
  "name": "tda_get_capabilities",
  "kind": "answer",
  "impl": "imperative",
  "description": "List the supported simplicial complexes, required parameter names, input limits, filtration units, and cubical-image modes before selecting a computation.",
  "inputSchema": {
    "type": "object",
    "properties": {},
    "required": [],
    "additionalProperties": false
  }
}

{
  "name": "tda_compute_simplicial_persistence",
  "kind": "act",
  "impl": "imperative",
  "description": "Compute one-parameter persistent homology for a supplied 2D or 3D point cloud using a Vietoris–Rips, Alpha, or Čech complex. Runs locally in a Web Worker and updates the visible shared result.",
  "inputSchema": {
    "type": "object",
    "properties": {
      "complex": {
        "type": "string",
        "enum": [
          "rips",
          "alpha",
          "cech"
        ],
        "description": "Complex family: Vietoris–Rips, Alpha, or Čech."
      },
      "points": {
        "type": "array",
        "minItems": 2,
        "maxItems": 256,
        "items": {
          "type": "array",
          "minItems": 2,
          "maxItems": 3,
          "items": {
            "type": "number",
            "minimum": -1000000,
            "maximum": 1000000
          }
        },
        "description": "Point coordinates. Every point must have the same length, either 2 or 3. Limit: 256 points."
      },
      "coefficientField": {
        "type": "integer",
        "enum": [
          2,
          3,
          5,
          7,
          11,
          13,
          17,
          19
        ],
        "default": 2
      },
      "resultLimit": {
        "type": "integer",
        "minimum": 1,
        "maximum": 200,
        "default": 50
      },
      "parameters": {
        "type": "object",
        "properties": {
          "maxEdgeLength": {
            "type": "number",
            "exclusiveMinimum": 0,
            "maximum": 4000000,
            "description": "Rips maximum edge length."
          },
          "maxRadius": {
            "type": "number",
            "exclusiveMinimum": 0,
            "maximum": 4000000,
            "description": "Čech maximum ball radius."
          },
          "maxSimplexDimension": {
            "type": "integer",
            "minimum": 1,
            "maximum": 3,
            "description": "Optional override. Defaults to 2 for 2D input and 3 for 3D input."
          }
        },
        "required": [],
        "additionalProperties": false
      }
    },
    "required": [
      "complex",
      "points"
    ],
    "additionalProperties": false
  }
}

{
  "name": "tda_compute_cubical_persistence",
  "kind": "act",
  "impl": "imperative",
  "description": "Denoise an image, convert it to a binary foreground mask, close small mask holes, then compute 2D vertex lower-star cubical persistence over F2. Accepts the current uploaded image, a built-in sample, or supplied row-major scalar values. Omit threshold to use Otsu auto-thresholding. Runs locally in a Web Worker and updates the visible shared result.",
  "inputSchema": {
    "type": "object",
    "properties": {
      "source": {
        "type": "string",
        "enum": [
          "current",
          "sample",
          "values"
        ],
        "default": "current"
      },
      "sample": {
        "type": "string",
        "enum": [
          "donut",
          "pretzel",
          "glasses"
        ],
        "description": "A bundled real photograph with visually meaningful holes."
      },
      "width": {
        "type": "integer",
        "minimum": 2,
        "maximum": 256
      },
      "height": {
        "type": "integer",
        "minimum": 2,
        "maximum": 256
      },
      "values": {
        "type": "array",
        "maxItems": 65536,
        "items": {
          "type": "number"
        },
        "description": "Row-major scalar values; required when source is values and must contain width × height entries."
      },
      "binarize": {
        "type": "boolean",
        "default": true,
        "description": "Binarize before persistence. Set false to preserve a grayscale filtration."
      },
      "threshold": {
        "type": "number",
        "minimum": 0,
        "maximum": 255,
        "description": "Manual grayscale threshold. Omit for Otsu automatic thresholding."
      },
      "foreground": {
        "type": "string",
        "enum": [
          "dark",
          "light"
        ],
        "default": "dark",
        "description": "Pixels on this side of the threshold become foreground value 0."
      },
      "filtration": {
        "type": "string",
        "enum": [
          "sublevel",
          "superlevel"
        ],
        "default": "sublevel"
      },
      "downsample": {
        "type": "integer",
        "enum": [
          1,
          2,
          4
        ],
        "default": 1
      },
      "resultLimit": {
        "type": "integer",
        "minimum": 1,
        "maximum": 200,
        "default": 50
      }
    },
    "required": [],
    "additionalProperties": false
  }
}

{
  "name": "tda_get_latest_result",
  "kind": "answer",
  "impl": "imperative",
  "description": "Read the latest persistence result and current image metadata from the workspace shared by the human and agent.",
  "inputSchema": {
    "type": "object",
    "properties": {},
    "required": [],
    "additionalProperties": false
  }
}