Array set addressing (ASA) for hexagonally arranged data sampling elements

An electronic circuit for capturing information from a hexagonal grid of sensor elements, the sensor elements arranged such that each element is centered on a point of the hexagonal grid, comprising:

• (a) a first circuit component configured to capture the addresses of the sensor elements as a set of two interleaved rectangular arrays, wherein each array element comprises three coordinates:
• (i) a first coordinate representing which rectangular array, determined as every other grid row of sensor elements, represented as a;
• (ii) a second coordinate representing the row of the sensor element relative to its array, represented as r;
• and,
• (iii) a third coordinate representing the column of the sensor element relative to its array, represented as c;
• (b) a second circuit component configured to convert captured array elements to corresponding Cartesian array elements having first and second rectangular coordinates x and y, by performing a matrix multiplication of captured array elements as:
• [
• x
• y
• ]
• =
• [
• a
• 2
• +
• c
• (
• 3
• )
• )
• ⁢
• (
• a
• 2
• +
• r
• )
• ]
• .

A method for capturing information from a hexagonal grid of data sampling elements, the data sampling elements arranged such that each data sampling element is centered on a point of the hexagonal grid, and converting the hexagonal grid positions to corresponding Cartesian grid positions, comprising the steps of:

• (a) electronically capturing the addresses of the data sampling elements as a set of two interleaved rectangular arrays, wherein each array element comprises three coordinates:
• (i) a first coordinate representing which rectangular array, determined as every other grid row of data sampling elements, represented as a;
• (ii) a second coordinate representing the row of the data sampling element relative to its array, represented as r;
• and,
• (iii) a third coordinate representing the column of the data sampling element relative to its array, represented as c;
• and,
• (b) converting captured array elements to corresponding Cartesian array elements having first and second rectangular coordinates x and y, comprising the step of performing a matrix multiplication of captured array elements as:
• [
• x
• y
• ]
• =
• [
• a
• 2
• +
• c
• (
• 3
• )
• )
• ⁢
• (
• a
• 2
• +
• r
• )
• ]
• .