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72
The stereographic projectionarium
"... THIS simple apparatus was built by the author some years ago to demonstrate he principles of the stereographic projection; it has proved a successful teaching accessory. Zussman (1967) described a useful model that projects points on the sphere on to an equatorial plane. The present model projects b ..."
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THIS simple apparatus was built by the author some years ago to demonstrate he principles of the stereographic projection; it has proved a successful teaching accessory. Zussman (1967) described a useful model that projects points on the sphere on to an equatorial plane. The present model projects
Numerical Shape from Shading and Occluding Boundaries
- Artifical Intelligence
, 1981
"... An iterative method for computing shape from shading using occluding boundary information is proposed. Some applications of this method are shown. We employ the stereographic plane to express the orientations of surface patches, rather than the more commonly.used gradient space. Use of the stereogra ..."
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Cited by 254 (20 self)
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An iterative method for computing shape from shading using occluding boundary information is proposed. Some applications of this method are shown. We employ the stereographic plane to express the orientations of surface patches, rather than the more commonly.used gradient space. Use
Planes and Spheres as Topological Manifolds. Stereographic Projection
"... Summary. The goal of this article is to show some examples of topolo-gical manifolds: planes and spheres in Euclidean space. In doing it, the article introduces the stereographic projection [25]. ..."
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Summary. The goal of this article is to show some examples of topolo-gical manifolds: planes and spheres in Euclidean space. In doing it, the article introduces the stereographic projection [25].
Plane
"... and stereographic projections of convex polyhedra from minimal information By A. J. Cole* A method of using a digital plotter to draw plane and stereographic projections of convex polyhedra is described. The polyhedron may be regarded as either a framework or as an opaque or semi-transparent solid b ..."
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and stereographic projections of convex polyhedra from minimal information By A. J. Cole* A method of using a digital plotter to draw plane and stereographic projections of convex polyhedra is described. The polyhedron may be regarded as either a framework or as an opaque or semi-transparent solid
A Spatial Problem Solved with Stereographic Projection
, 2000
"... Stereographic projection is a transformation in space, used frequently in complex analysis. It can also be interpreted as the spatial analog of inversion. In this paper, we demonstrate how the elementary properties of the stereographic projection can be used for solving a geometric problem. The foll ..."
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looking at the problem strictly as one of space geometry. We show here how stereographic projection helps to reduce the problem to a planar one, and thus, makes it easier to understand. Stereographic Projection | De nitions and Properties Let be a sphere, S a point on, the tangent plane at S, andNS a
Rectangling Stereographic Projection for Wide-Angle Image Visualization
"... This paper proposes a new projection model for map-ping a hemisphere to a plane. Such a model can be use-ful for viewing wide-angle images. Our model consists of two steps. In the first step, the hemisphere is projected onto a swung surface constructed by a circular profile and a rounded rectangular ..."
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This paper proposes a new projection model for map-ping a hemisphere to a plane. Such a model can be use-ful for viewing wide-angle images. Our model consists of two steps. In the first step, the hemisphere is projected onto a swung surface constructed by a circular profile and a rounded
Rectangling Stereographic Projection for Wide-Angle Image Visualization
"... This paper proposes a new projection model for mapping a hemisphere to a plane. Such a model can be useful for viewing wide-angle images. Our model consists of two steps. In the first step, the hemisphere is projected onto a swung surface constructed by a circular profile and a rounded rectangular t ..."
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This paper proposes a new projection model for mapping a hemisphere to a plane. Such a model can be useful for viewing wide-angle images. Our model consists of two steps. In the first step, the hemisphere is projected onto a swung surface constructed by a circular profile and a rounded rectangular
STEREOGRAPHIC VIRTUAL REALITY REPRESENTATIONS OF MICROFOSSILS IN LIGHT MICROSCOPY
, 2001
"... A method is developed to produce animated stereographic representations of microfossils seen through a binocular at full-focal resolution by means of computerassisted light microscopy. Stereopair images were obtained using a special stand for the binocular microscope that allows users to acquire a p ..."
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A method is developed to produce animated stereographic representations of microfossils seen through a binocular at full-focal resolution by means of computerassisted light microscopy. Stereopair images were obtained using a special stand for the binocular microscope that allows users to acquire a
A mental cutting test on female students using a stereographic system
- Journal for Geometry and Graphics
, 1999
"... Abstract. A stereographic mental cutting test (hereafter SMCT) was conducted to analyze 3D spatial abilities evaluated by a standard mental cutting test (here-after MCT). The results of the analysis indicated that the MCT mainly re°ects the abilities in making and manipulating three-dimensional ment ..."
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Cited by 2 (0 self)
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Abstract. A stereographic mental cutting test (hereafter SMCT) was conducted to analyze 3D spatial abilities evaluated by a standard mental cutting test (here-after MCT). The results of the analysis indicated that the MCT mainly re°ects the abilities in making and manipulating three
A unifying theory for central panoramic systems and practical implications
- In ECCV
, 2000
"... Abstract. Omnidirectional vision systems can provide panoramic alertness in surveillance, improve navigational capabilities, and produce panoramic images for multimedia. Catadioptric realizations of omnidirectional vision combine reflective surfaces and lenses. A particular class of them, the centra ..."
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Cited by 178 (5 self)
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of them are isomorphic to projective mappings from the sphere to a plane with a projection center on the perpendicular to the plane. Subcases are the stereographic projection equivalent to parabolic projection and the central planar projection equivalent to every conventional camera. We define a duality
Results 1 - 10
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