Object representation using distance functions

An article of manufacture comprising:

• a machine-accessible medium including data that, when accessed by a machine, causes the machine to perform operations comprising:
• constructing a bounding box containing a three-dimensional (3-D) object in a 3-D coordinate system, the bounding box having at least a bounding plane;
• projecting a ray from a grid point on the bounding plane to the object with a pre-defined direction, the ray intersecting a surface of the object at an intersection point;
• and
• computing a parameterization value of the intersection point associated with the grid point, the parameterization value corresponding to a distance from the grid point to the intersection point.

An article of manufacture comprising:

• a machine-accessible medium including data that, when accessed by a machine, causes the machine to perform operations comprising:
• retrieving a normalized parameterization value associated with a grid point on a bounding plane of a bounding box containing a three-dimensional (3-D) object in a 3-D coordinate system, the normalized parameterization value corresponding to a distance from the grid point to an object point of the object, the object point being an intersection point between a ray projected from the grid point to a surface of the object with a pre-defined direction;
• and
• reconstructing an object point of the object using the normalized parameterization value.

A system comprising:

• a processor;
• a memory coupled to the processor to contain instructions, when executed by the processor, that perform operations comprising:
• constructing a bounding box containing a three-dimensional (3-D) object in a 3-D coordinate system, the bounding box having at least a bounding plane;
• projecting a ray from a grid point on the bounding plane to the object with a pre-defined direction, the ray intersecting a surface of the object at an intersection point;
• and
• computing a parameterization value of the intersection point associated with the grid point, the parameterization value corresponding to a distance from the grid point to the intersection point.

A system comprising:

• a processor;
• a memory coupled to the processor to contain instructions, when executed by the processor, that perform operations comprising:
• retrieving a normalized parameterization value associated with a grid point on a bounding plane of a bounding box containing a three-dimensional (3-D) object in a 3-D coordinate system, the normalized parameterization value corresponding to a distance from the grid point to an object point of the object, the object point being an intersection point between a ray projected from the grid point to a surface of the object with a pre-defined direction;
• and
• reconstructing an object point of the object using the normalized parameterization value.