2008
DOI: 10.1007/978-3-540-88682-2_48
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Recovering Light Directions and Camera Poses from a Single Sphere

Abstract: This paper introduces a novel method for recovering both the light directions and camera poses from a single sphere. Traditional methods for estimating light directions using spheres either assume both the radius and center of the sphere being known precisely, or they depend on multiple calibrated views to recover these parameters. It will be shown in this paper that the light directions can be uniquely determined from the specular highlights observed in a single view of a sphere without knowing or recovering … Show more

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Cited by 39 publications
(21 citation statements)
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“…As the sphere projects onto a conic in the camera, its position can be reconstructed from the occluding contour of the imaged mirror by the algorithm described in [42]. Our method computes the position of a sphere from 2D-3D correspondences, and, thus, we expect results similar to those acquired by [42]. We used five images to verify this.…”
Section: Screen Positionmentioning
confidence: 70%
“…As the sphere projects onto a conic in the camera, its position can be reconstructed from the occluding contour of the imaged mirror by the algorithm described in [42]. Our method computes the position of a sphere from 2D-3D correspondences, and, thus, we expect results similar to those acquired by [42]. We used five images to verify this.…”
Section: Screen Positionmentioning
confidence: 70%
“…The average diameter for the projected limbus is approximately 150 pixels ( Figure 6 (c)). We further took data sets for a spherical mirror with a radius of 7.9 mm that is similar in size to the corneal sphere, where we estimate the position of the mirror from its occluding contour [31]. Figure 6 shows the results.…”
Section: Methodsmentioning
confidence: 99%
“…However, once the physical radius of the sphere is given, the sphere can be uniquely located. We use the geometric method proposed in [20] to locate the center of the sphere. The basic idea of the method is to investigate the relationship between the general case where the sphere lies at an arbitrary position and the special case where the sphere lies on the z axis of the camera.…”
Section: The Projective Modelmentioning
confidence: 99%
“…We first use the Hough transform circle detection algorithm to detect a circle to approximate the conic section in the initial frame of the video stream and employ the algorithm in [20] to locate the center of the sphere. The rotation of the sphere is defined as follows: we define an object coordinate system in the center of the sphere.…”
Section: Detectionmentioning
confidence: 99%