The Conformal Camera in Modeling Active Binocular Vision

Turski, Jacek

doi:10.3390/sym8090088

Cited by 6 publications

(19 citation statements)

References 38 publications

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“…For instance, it would be possible to reproduce the experiment carried here to objectively quantify the effect of vegetation on other computer vision traits. In particular, one could investigate the pedestrian viewpoint in urban streets with bio-inspired traits such as the estimation of depth from stereovision [58][59][60] or at a higher integrative level from visual saliency [61] or also with the heat map produced by eye-tracking systems when applied on large cohorts of human observers [62]. The effect of vegetation on pedestrian view in urban street was objectively quantified in this article.…”

Section: Discussionmentioning

confidence: 99%

Toward a Computer Vision Perspective on the Visual Impact of Vegetation in Symmetries of Urban Environments

et al. 2018

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Rapid urbanization is a worldwide critical environmental challenge. With this urban migration soaring, we need to live far more efficiently than we currently do by incorporating the natural world in new and innovative ways. There are a lot of researches on ecological, architectural or aesthetic points of view to address this issue. We present a novel approach to assess the visual impact of vegetation in urban street pedestrian view with the assistance of computer vision metrics. We statistically evaluate the correlations of the amount of vegetation with objective computer vision traits such as Fourier domain, color histogram, and estimated depth from monocular view. We show that increasing vegetation in urban street views breaks the orthogonal symmetries of urban blocks, enriches the color space with fractal-like symmetries and decreases the cues of projective geometry in depth. These uncovered statistical facts are applied to predict the requested amount of vegetation to make urban street views appear like natural images. Interestingly, these amounts are found in accordance with the ecosystemic approach for urban planning. Also, the study opens new questions for the understanding of the link between geometry and depth perception.

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Section: Discussionmentioning

confidence: 99%

Toward a Computer Vision Perspective on the Visual Impact of Vegetation in Symmetries of Urban Environments

et al. 2018

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“…To explicate this further, I note that the mapping between points of the spherical retina and points of the image plane can be modeled by stereographic projection through the nodal point for both symmetric and asymmetric model eyes [7]. This mapping is not defined at the nodal point.…”

Section: The Geometric Construction Of Binocular Conicsmentioning

confidence: 99%

“…The empirical horopters were comprehensively modeled in [5,6] and, more recently, in [7,8]. The equations with free parameters that were introduced on an ad hoc basis in [5] for the forward gaze and extended in [6] to any horizontal gaze furnished longitudinal horopters as conic sections.…”

Section: Introductionmentioning

confidence: 99%

“…The equations with free parameters that were introduced on an ad hoc basis in [5] for the forward gaze and extended in [6] to any horizontal gaze furnished longitudinal horopters as conic sections. Introduced in [7] and numerically studied in [8], the empirical horopters were modeled as conic sections in the binocular system with asymmetric eyes (AEs). The AE is the model eye that extends the reduced eye with its inclusion of the fovea's displacement from the posterior pole and the cornea's and lens' relative tilts observed in healthy human eyes [9,10].…”

Section: Introductionmentioning

confidence: 99%

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A Geometric Theory Integrating Human Binocular Vision with Eye movement

Turski

2020

Preprint

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A theory of the binocular system with asymmetric eyes (AEs) is developed in the framework of bicentric perspective projections. The AE accounts for the eyeball’s global asymmetry produced by the foveal displacement from the posterior pole, the main source of the eye’s optical aberrations, and the crystalline lens’ tilt countering some of these aberrations. In this theory, the horopter curves, which specify retinal correspondence of binocular single vision, are conic sections resembling empirical horopters. This advances the classic model of empirical horopters as conic sections introduced in an ad hoc way by Ogle in 1932. In contrast to Ogle’s theory, here, anatomically supported horopteric conics vary with the AEs’ position in the visual plane of bifoveal fixations and their transformations are visualized in a computer simulation. Integrating horopteric conics with eye movements can help design algorithms for maintaining a stable perceptual world from visual information captured by a mobile robot’s camera-head. Further, this paper proposes a neurophysiologically meaningful definition for the eyes’ primary position, a concept which has remained elusive despite its theoretical importance to oculomotor research. Finally, because the horopteric conic’s shape is dependent on the AE’s parameters, this theory allows for changes in retinal correspondence which is usually considered preformed and stable.

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“…The empirical horopters were comprehensively modeled in Ogle ( 1932 ) and Amigo ( 1965 ) and, more recently, in Turski ( 2016c , 2018 ). The equations with free parameters that were introduced on an ad hoc basis in Ogle ( 1932 ) for the forward gaze and extended in Amigo ( 1965 ) to any horizontal gaze furnished longitudinal horopters as conic sections.…”

Section: Introductionmentioning

confidence: 99%

A Geometric Theory Integrating Human Binocular Vision With Eye Movement

Turski

2020

Front. Neurosci.

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A theory of the binocular system with asymmetric eyes (AEs) is developed in the framework of bicentric perspective projections. The AE accounts for the eyeball's global asymmetry produced by the foveal displacement from the posterior pole, the main source of the eye's optical aberrations, and the crystalline lens' tilt countering some of these aberrations. In this theory, the horopter curves, which specify retinal correspondence of binocular single vision, are conic sections resembling empirical horopters. This advances the classic model of empirical horopters as conic sections introduced in an ad hoc way by Ogle in 1932. In contrast to Ogle's theory, here, anatomically supported horopteric conics vary with the AEs' position in the visual plane of bifoveal fixations and their transformations are visualized in a computer simulation. Integrating horopteric conics with eye movements can help design algorithms for maintaining a stable perceptual world from visual information captured by a mobile robot's camera head. Further, this paper proposes a neurophysiologically meaningful definition for the eyes' primary position, a concept which has remained elusive despite its theoretical importance to oculomotor research. Finally, because the horopteric conic's shape is dependent on the AE's parameters, this theory allows for changes in retinal correspondence, which is usually considered preformed and stable.

show abstract

The Conformal Camera in Modeling Active Binocular Vision

Cited by 6 publications

References 38 publications

Toward a Computer Vision Perspective on the Visual Impact of Vegetation in Symmetries of Urban Environments

Toward a Computer Vision Perspective on the Visual Impact of Vegetation in Symmetries of Urban Environments

A Geometric Theory Integrating Human Binocular Vision with Eye movement

A Geometric Theory Integrating Human Binocular Vision With Eye Movement

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