Although photoelastic analysis has a great advantage in the visualization of the internal stress state which arises in a two-dimensional model, several difficulties still exist in accurate measurement of fringe distribution around a point of singularity such that concentrated load is applied, owing to the insufficient resolving power of ordinary equipment for image treatment. In order to overcome these kinds of difficulties, the authors propose a new concept and algorithm for complement or compensation of blurred photoelastic isochromatic data in an extremely condensed area. Taking the well-known theoretical solution near a singular point in two-dimensional elasticity into account, collapsed data can be reconstructed well by determination of unknown constants in the theoretical functional solution using an optimizing approximation method with accurately measured experimental data slightly apart from the point.