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1,309
Computational Algebraic Geometry and Switching Surfaces in Optimal Control
, 1999
"... A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful new methodology for doing symbolic manipulations with polynomial data has been ..."
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A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful new methodology for doing symbolic manipulations with polynomial data has been
Surface compression with geometric bandelets
 ACM Transactions on Graphics
, 2005
"... This paper describes the construction of second generation bandelet bases and their application to 3D geometry compression. This new coding scheme is orthogonal and the corresponding basis functions are regular. In our method, surfaces are decomposed in a bandelet basis with a fast bandeletization a ..."
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Cited by 36 (5 self)
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This paper describes the construction of second generation bandelet bases and their application to 3D geometry compression. This new coding scheme is orthogonal and the corresponding basis functions are regular. In our method, surfaces are decomposed in a bandelet basis with a fast bandeletization
Recovering Epipolar Geometry from Images of Smooth Surfaces
"... Abstract. We present a method for recovering the epipolar geometry from images of smooth surfaces. Existing methods for recovering epipolar geometry use corresponding feature points that cannot be found in such images. Other methods for recovering the epipolar geometry of smooth objects are based o ..."
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Abstract. We present a method for recovering the epipolar geometry from images of smooth surfaces. Existing methods for recovering epipolar geometry use corresponding feature points that cannot be found in such images. Other methods for recovering the epipolar geometry of smooth objects are based
Optimum NonSlender Geometries of Revolution for Minimum Drag in FreeMolecular R o w With Given Isoperimetric Constraints
"... The problem of determining the nonslender bodies of revolution having minimum drag in freemolecular flow region for given integral constraints has been solved with the calculus of variations. Optimum bodies for known values of surface area and volume are blunt nosed and value of drag coefficients ..."
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The problem of determining the nonslender bodies of revolution having minimum drag in freemolecular flow region for given integral constraints has been solved with the calculus of variations. Optimum bodies for known values of surface area and volume are blunt nosed and value of drag coefficients
VISUALIZATION OF SOAP BUBBLE GEOMETRIES
, 1990
"... The authors discuss mathematical soap bubble problems and a new technique for generating computer graphics of bubble clusters. The rendering program is based on Fresnel’s equations and produces both the colored interference patterns of reflected light and the Fresnel effect of varying transparency. ..."
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and to use such problems as test cases for the computation and visualization of geometric structures which arise in other optimization problems. In this article we report in particular on new techniques for displaying soap bubble geometries; these techniques incorporate both colored interference patterns
In Search of Illumination Invariants
"... We consider the problem of determining functions of an image of an object that are insensitive to illumination changes. We first show that for an object with Lambertian reflectance there are no discriminative functions that are invariant to illumination. This result leads us to adopt a probabilisti ..."
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Cited by 80 (7 self)
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probabilistic approach in which we analytically determine a probability distribution for the image gradient as a function of the surface's geometry and reflectance. Our distribution reveals that the direction of the image gradient is insensitive to changes in illumination direction. We verify
Complexity and Shock Wave Geometries
"... In this paper we refine a conjecture relating the timedependent size of an EinsteinRosen bridge to the computational complexity of the dual quantum state. Our refinement states that the complexity is proportional to the spatial volume of the ERB. More precisely, up to an ambiguous numerical coeff ..."
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coefficient, we propose that the complexity is the regularized volume of the largest codimension one surface crossing the bridge, divided by GN lAdS. We test this conjecture against a wide variety of spherically symmetric shock wave geometries in different dimensions. We find detailed agreement. ar X iv
3D shape recognition and reconstruction based on line element geometry
 In Tenth IEEE International Conference on Computer Vision
, 2005
"... This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rota ..."
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Cited by 17 (5 self)
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This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces
Geometry Verification in the Automotive Industry
"... Mass production of industrial workpieces requires continuous manufacturing control to ensure constant quality. That is why assembly inspection is used to detect errors at an early stage. Many conventional inspection methods are still in use especially in the automotive and supplier industry. Traditi ..."
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in front of the sensors to capture the entire surface. Taking catalytic converters as an example, this article describes the configuration and functionality of the system as well as the algorithms used to verify the resulting 3D point cloud against a given geometry.
Spatial Reorientation by Geometry in Bumblebees
, 2012
"... Human and nonhuman animals are capable of using basic geometric information to reorient in an environment. Geometric information includes metric properties associated with spatial surfaces (e.g., short vs. long wall) and leftright directionality or ‘sense ’ (e.g. a long wall to the left of a short ..."
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short wall). However, it remains unclear whether geometric information is encoded by explicitly computing the layout of surface geometry or by matching images of the environment. Viewbased spatial encoding is generally thought to hold for insect navigation and, very recently, evidence for navigation
Results 11  20
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1,309