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Triangulation by walking is a method that has been used to measure perceived distance, where observers walk a triangular path. This method has been used at action space distances of approximately 1.5 to 30 meters. In this work, a conceptual replication of these triangulation by walking methods are discussed and evaluated for use in measuring the perceived distance of an object seen through a window set into a wall. The motivation for this work is to use triangulation by walking to study how perceived distance operates when augmented reality (AR) is used to visualize objects located behind opaque surfaces, in an AR application termed “x-ray vision.” This paper reports on experiences replicating an implementation of triangulation by walking as reported by Fukusima, Da Silva, and Loomis (1997). Their method was conceptually replicated in both outdoor and indoor settings, and the method was further extended to measure perceived distances of objects seen through a wall. These extensions are discussed in some detail, focusing on the modifications to the triangulation by walking method as well as the ramifications of these changes. Problems arising from using triangular geometry in calculations of perceived target locations are also introduced, and an alternate method is proposed that works to diminish the problematic effects. 

An important research question in optical see-through (OST) augmented reality (AR) is, how accurately and precisely can a virtual object’s real world location be perceived? Previously, a method was developed to measure the perceived three-dimensional location of virtual objects in OST AR. In this research, a replication study is reported, which examined whether the perceived location of virtual objects are biased in the direction of the dominant eye. The successful replication analysis suggests that perceptual accuracy is not biased in the direction of the dominant eye. Compared to the previous study’s findings, overall perceptual accuracy increased, and precision was similar. 

For optical, see-through augmented reality (AR), a new method for measuring the perceived three-dimensional location of a small virtual object is presented, where participants verbally report the virtual object's location relative to both a horizontal and vertical grid. The method is tested with a Microsoft HoloLens AR display, and examines two different virtual object designs, whether turning in a circle between reported object locations disrupts HoloLens tracking, and whether accuracy errors found with a HoloLens display might be due to systematic errors that are restricted to that particular display. Turning in a circle did not disrupt HoloLens tracking, and a second HoloLens did not suggest systematic errors restricted to a specific display. The proposed method could measure the perceived location of a virtual object to a precision of ~1 mm.