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spline_catmull_rom_3d_interpolator

Create C1-continuous 3D trajectories through ordered control points for flight paths, camera rails, and motion sequences using centripetal Catmull-Rom interpolation.

Instructions

Calculates smooth $C^1$-continuous 3D flight paths, motion trajectories, and camera rails through ordered 3D control points with centripetal parameterization. (0.020 USDC on Base L2)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
payloadYesInput parameters or JSON string payload for the tool execution
paymentSignatureNoBase L2 USDC micropayment signature or transaction hash for x402 settlement

Schema Changelog

Changes observed during successful MCP inspections.

  1. First observedv1.0.0

TDQS

B3.2/5.0
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the responsibility. It states 'Calculates' and discloses the USDC cost, but does not mention side effects, failure modes, input validation, or whether the operation is read-only. For a pure calculation tool the absence of side effects is implied, but not explicit enough for an agent.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Two sentences with zero padding. The core function and cost are front-loaded, and every phrase earns its place.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a tool with an opaque string payload and no output schema, the description leaves critical gaps: required payload JSON format, point count constraints, return shape/type, error handling, and whether the payment signature is mandatory. An agent cannot reliably invoke this tool with only the current description.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, so the baseline is 3. The description adds that the payload contains 'ordered 3D control points' and mentions the cost, but the exact JSON structure of the payload is undefined. It adds some meaning beyond the schema but does not fully compensate for the opaque string payload.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description names a specific action ('Calculates') and resource ('smooth C^1-continuous 3D flight paths, motion trajectories, and camera rails') with a clear method ('centripetal parameterization') and input form ('ordered 3D control points'). It clearly distinguishes this from sibling interpolators like quaternion_slerp_interpolator or camera_intrinsics_projection_matrix.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No explicit when-to-use or when-not-to-use guidance is given. The description implies use for smooth 3D paths through ordered points, but it does not mention alternatives, constraints (e.g., minimum point count, closed curves), or when another interpolator would be more appropriate.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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