Function RadialDecoder

Returns {
    metadata: {
        boundary: {
            description: string;
            displayName: string;
            mathFunction: string;
        };
        decoder: { description: string; displayName: string };
    };
    length(position: Vector3): number;
    mapBoundaryValue(value: number): number;
    normalize(position: Vector3, radius: number): Vector3;
    sample(position: Vector3): number;
}

• metadata: {
      boundary: {
          description: string;
          displayName: string;
          mathFunction: string;
      };
      decoder: { description: string; displayName: string };
  }

• length: function

  • length(position: Vector3): number

    Calculates the Euclidean distance from the origin.

    Parameters

    • position: Vector3

    Returns number

• mapBoundaryValue: function

  • mapBoundaryValue(value: number): number

    Maps a normalized boundary value to a radius.

    The decoder is responsible for evaluating the scalar field. This method defines how boundary values are interpreted as geometric distances from the origin.

    Parameters

    • value: number

      Boundary value in the range [0,1].

    Returns number

    Radius in world units.

    Remarks

    This mapping is not part of the core decoding algorithm. It's part of the interpretation of the boundary field.

    Current implementation is:

    • linear mapping

    Later other approaches could be implemented:

    • exponential mapping
    • logarithmic mapping
    • signed displacement
    • arbitrary transfer function

    The radial decoder itself doesn't care — it just needs to determine "what radius corresponds to this boundary value?" Separating that concern will make the function easier to extend without modifying the core decoding logic.

• normalize: function

  • normalize(position: Vector3, radius: number): Vector3

    Convert a position into a unit direction vector.

    Parameters

    • position: Vector3
    • radius: number

    Returns Vector3

    If the position is the origin, an arbitrary direction is returned to avoid division by zero.

• sample: function

  • sample(position: Vector3): number

    Evaluates the signed scalar field.

    Parameters

    • position: Vector3

    Returns number

    A signed value where

    • Positive values indicate positions inside the generated object.
    • Negative values indicate positions outside the generated object.
    • Zero represents the implicit surface.