This review article by Strasburger, Rentschler, and Jüttner explores the various strands of research on peripheral vision and its relation to form perception theories. The authors begin with a historical overview, tracing the development of peripheral vision research from the early work of Aubert and Foerster in the 19th century to more recent studies. They discuss the cortical magnification hypothesis, which posits that the variation in performance across the visual field is due to the projection properties of the afferent visual pathway. The article reviews quantifications of this hypothesis, including an extension of Schwartz's cortical mapping function, and examines its merits and limitations across a wide range of psychophysical tasks. The authors also review the eccentricity dependence of low-level functions such as reaction time, temporal resolution, and spatial summation, as well as perimetric methods. A central topic is the recognition of characters in peripheral vision, both at low and high levels of contrast, and the impact of surrounding contours known as crowding. They demonstrate how Bouma's law, which specifies the critical distance for the onset of crowding, can be stated in terms of the retino-cortical mapping. The recognition of more complex stimuli, such as textures, faces, and scenes, reveals the substantial impact of mid-level vision and cognitive factors. The article further discusses the eccentricity-dependent limitations of learning, both at the level of perceptual learning and pattern category learning. It highlights that peripheral vision is limited in terms of pattern categorization due to a lower representational complexity and processing speed. The authors conclude by discussing models of peripheral form vision, noting that the limitations of cognitive processing in peripheral vision are as significant as those imposed on low-level functions and by crowding. Keywords: Peripheral vision, visual field, acuity, contrast sensitivity, temporal resolution, crowding effect, perceptual learning, computational models, categorization, object recognition, faces, facial expression, natural scenes, scene gist, texture, contour, learning, perceptual learning, category learning, generalization, invariance, translation invariance, representational complexity.This review article by Strasburger, Rentschler, and Jüttner explores the various strands of research on peripheral vision and its relation to form perception theories. The authors begin with a historical overview, tracing the development of peripheral vision research from the early work of Aubert and Foerster in the 19th century to more recent studies. They discuss the cortical magnification hypothesis, which posits that the variation in performance across the visual field is due to the projection properties of the afferent visual pathway. The article reviews quantifications of this hypothesis, including an extension of Schwartz's cortical mapping function, and examines its merits and limitations across a wide range of psychophysical tasks. The authors also review the eccentricity dependence of low-level functions such as reaction time, temporal resolution, and spatial summation, as well as perimetric methods. A central topic is the recognition of characters in peripheral vision, both at low and high levels of contrast, and the impact of surrounding contours known as crowding. They demonstrate how Bouma's law, which specifies the critical distance for the onset of crowding, can be stated in terms of the retino-cortical mapping. The recognition of more complex stimuli, such as textures, faces, and scenes, reveals the substantial impact of mid-level vision and cognitive factors. The article further discusses the eccentricity-dependent limitations of learning, both at the level of perceptual learning and pattern category learning. It highlights that peripheral vision is limited in terms of pattern categorization due to a lower representational complexity and processing speed. The authors conclude by discussing models of peripheral form vision, noting that the limitations of cognitive processing in peripheral vision are as significant as those imposed on low-level functions and by crowding. Keywords: Peripheral vision, visual field, acuity, contrast sensitivity, temporal resolution, crowding effect, perceptual learning, computational models, categorization, object recognition, faces, facial expression, natural scenes, scene gist, texture, contour, learning, perceptual learning, category learning, generalization, invariance, translation invariance, representational complexity.