| (1) | Mapping captured fire image (CFI) |
| | MSER area distinct on CFI |
| | Imap: E ⊂ x2: 0 |
| | O is a whole order |
| (a) | i.e., automatic, antisymmetric, and transitive dual member ≤ previous state |
| (b) | Proposed model O = (0, 1, …, 254) is considered, and the MSER region is defined |
| | E.g., Real-value images (O = P) |
| (2) | An adjacency connection Adj ⊂ E × E |
| | The proposed model has four computed zones |
| | i.e., r, s ⊂ E bordering |
| | region is contiguous |
| (3) | Region S is the contiguous division of D, i.e., for all r, |
| | An order r, x1, x2, …, xn and |
| (4) | District edge |
| | , i.e., the limit of S is a set of pixels being neighboring to at |
| | Least one pixel of S but not listed to S |
| (5) | Extremal area is an area such that for every , |
| | Upper limit strength of area Img (r) > Img (s) is a lower limit strength of an area |
| (6) | MSER state |
| | S1, Si − 1, Si, … Order of the nested MSER state, i.e., the extremal state is the least secure |
| | has a restricted minimum at , which is a limit of the proposed method |
