Wavefront sensorless adaptive optics methodologies are widely considered in scanning fluorescence microscopy where direct wavefront sensing is challenging. In these methodologies, aberration correction is performed by sequentially changing the settings of the adaptive element until a predetermined image quality metric is optimized. An efficient aberration correction can be achieved by modeling ...

By Hongquan Xu∗ and Ching-Shui Cheng† University of California, Los Angeles, and University of California, Berkeley Chen and Cheng [Ann. Statist. 34 (2006) 546–558] discussed the method of doubling for constructing two-level fractional factorial designs. They showed that for 9N/32 ≤ n ≤ 5N/16, all minimum aberration designs with N runs and n factors are projections of the maximal design with 5N...

In this paper, the issue of balance pattern of the interaction columns of a symmetrical design is considered according to orthogonal components system. The minimum interaction unbalance criterion is proposed for ranking and comparing s-level factorial designs, where s is any a prime or a prime power. It is further showed that the interaction unbalance pattern is just the generalized wordlength ...

This paper considers the construction of minimum aberration (MA) blocked factorial designs. Based on coding theory, the concept of minimum moment aberration due to Xu (2003) for unblocked designs is extended to blocked designs. The coding theory approach studies designs in a row-wise fashion and therefore links blocked designs with nonregular and supersaturated designs. A lower bound on blocked...

The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong [Statist. Sinica 17 (2007) 1191–1213] suggested a new class of nonregular designs constructed from quaternary codes. This paper explores the properties and uses of quaternary codes toward the construction of quarter-fraction non...

PURPOSE To compare the effect of spherical aberration on optical quality in eyes with two different aspherical intraocular lenses. METHODS 120 eyes of 60 patients underwent phacoemulsification. In patients' eyes, an aberration-free IOL (Aspira-aA; Human Optics) or an aberration-correcting aspherical IOL (Tecnis ZCB00; Abott Medical Optics) was randomly implanted. After surgery, contrast sensi...

Minimum aberration is a popular criterion for selecting fractional factorial designs. It aims at the minimization of aliasing among lower-order effects. Cheng, Steinberg and Sun (1999) showed that it is a good surrogate for maximum estimation capacity, a model robustness criterion, but they are not the same, especially for resolution IV designs. In this paper, the relationship between these two...

The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong [Statist. Sinica 17 (2007) 1191–1213] suggested a new class of nonregular designs constructed from quaternary codes. This paper explores the properties and uses of quaternary codes toward the construction of quarter-fraction non...