Basic concepts of digital geometry are introduced, with emphasis on digitized Euclidean geometry ... more Basic concepts of digital geometry are introduced, with emphasis on digitized Euclidean geometry of curves and surfaces. Topics covered include connectedness and distance transforms, integer metrics, digitization models, multigrid convergence, digital straight line segments and planar patches, and approximation of curves and surfaces.
... Our experiments are designed to demonstrate that the information provided by a selective ster... more ... Our experiments are designed to demonstrate that the information provided by a selective stereomatching process of distinctive ... NZ Road 1-3, traffic scenes on New Zealand roads, 8 ... This subsection discusses how our simple SIFT-based evaluation relates to a particular kind of ...
Over the recent decades various markerbased video capture systems have been developed in order to... more Over the recent decades various markerbased video capture systems have been developed in order to estimate segment kinematics in biomechanics applications. It may not be a disproportionate statement to claim that this method is regarded as the gold standard in laboratory based settings. Inherent problems to these systems include adequate marker placement, skin movement artefacts and marker occlusion in certain body orientations. A possible alternative to this approach are markerless imagebased motion tracking systems. ...
This paper proposes a way to approximate ground truth for real-world stereo sequences, and applie... more This paper proposes a way to approximate ground truth for real-world stereo sequences, and applies this for evaluating the performance of different variants of dynamic programming stereo analysis. This illustrates a way of performance evaluation, also allowing to derive sequence analysis diagrams. Obtained results differ from those obtained for the discussed algorithms on smaller, or engineered test data. This also
ABSTRACT This paper discusses the problem of how to approximate the length of a parametric curve ... more ABSTRACT This paper discusses the problem of how to approximate the length of a parametric curve γ: [0, T] → ℝn from points q i =γ(t i), where the parameters t i are not given. Of course, it is necessary to make some assumptions about the distribution of the t i: in the present paper ε-uniformity. Our theoretical result concerns an algorithm which uses piecewise-quadratic interpolants. Experiments are conducted to show that our theoretical estimates are sharp, and that the assumption of ε-uniformity is needed. This work may be of interest in computer graphics, approximation and complexity theory, digital and computational geometry, and digital image processing.
Moments play an important role in picture analysis, pattern recognition, or classification. The p... more Moments play an important role in picture analysis, pattern recognition, or classification. The presentation of Euclidean sets by digital pictures causes an inherent loss of information. There are infinitely many different preimages with identical corre- sponding digital pictures. The problem we discuss here is how efficiently real geometric moments of planar convex shapes can be reconstructed from their digital pictures
Traditional panorama visualization techniques give only the single eye's depth cues to the a... more Traditional panorama visualization techniques give only the single eye's depth cues to the audience for the 3D world navigation. We introduce a new panorama visualization approach so that the depth cues for both eyes are provided in the panoramic image. The full color anaglyphs stereoscopic technique is adopted to produce and visualize the stereo panorama, which exploits human visual capability so the binocular depth and synthesized colors can be perceived and understood. Because both panoramic and anaglyphic image acquisition setups are incompatible intrinsically, we measure the errors of anaglyphic panorama image and deliver an error controlling formula that allows a better camera position to be determined at setup time. A real-time interactive player is developed for navigation in the stereo panoramic virtual world. In addition to the standard functions provided in the player, three new features are equipped to the player (i.e. a new driving method, manipulable objects embed...
Recent results in the theory of inductive inference are summarized. They concern deciphering of a... more Recent results in the theory of inductive inference are summarized. They concern deciphering of automata, language identification, prediction of functions, inference with additional information, strategies, functionals, index sets, characterization of identification types, ...
Basic concepts of digital geometry are introduced, with emphasis on digitized Euclidean geometry ... more Basic concepts of digital geometry are introduced, with emphasis on digitized Euclidean geometry of curves and surfaces. Topics covered include connectedness and distance transforms, integer metrics, digitization models, multigrid convergence, digital straight line segments and planar patches, and approximation of curves and surfaces.
... Our experiments are designed to demonstrate that the information provided by a selective ster... more ... Our experiments are designed to demonstrate that the information provided by a selective stereomatching process of distinctive ... NZ Road 1-3, traffic scenes on New Zealand roads, 8 ... This subsection discusses how our simple SIFT-based evaluation relates to a particular kind of ...
Over the recent decades various markerbased video capture systems have been developed in order to... more Over the recent decades various markerbased video capture systems have been developed in order to estimate segment kinematics in biomechanics applications. It may not be a disproportionate statement to claim that this method is regarded as the gold standard in laboratory based settings. Inherent problems to these systems include adequate marker placement, skin movement artefacts and marker occlusion in certain body orientations. A possible alternative to this approach are markerless imagebased motion tracking systems. ...
This paper proposes a way to approximate ground truth for real-world stereo sequences, and applie... more This paper proposes a way to approximate ground truth for real-world stereo sequences, and applies this for evaluating the performance of different variants of dynamic programming stereo analysis. This illustrates a way of performance evaluation, also allowing to derive sequence analysis diagrams. Obtained results differ from those obtained for the discussed algorithms on smaller, or engineered test data. This also
ABSTRACT This paper discusses the problem of how to approximate the length of a parametric curve ... more ABSTRACT This paper discusses the problem of how to approximate the length of a parametric curve γ: [0, T] → ℝn from points q i =γ(t i), where the parameters t i are not given. Of course, it is necessary to make some assumptions about the distribution of the t i: in the present paper ε-uniformity. Our theoretical result concerns an algorithm which uses piecewise-quadratic interpolants. Experiments are conducted to show that our theoretical estimates are sharp, and that the assumption of ε-uniformity is needed. This work may be of interest in computer graphics, approximation and complexity theory, digital and computational geometry, and digital image processing.
Moments play an important role in picture analysis, pattern recognition, or classification. The p... more Moments play an important role in picture analysis, pattern recognition, or classification. The presentation of Euclidean sets by digital pictures causes an inherent loss of information. There are infinitely many different preimages with identical corre- sponding digital pictures. The problem we discuss here is how efficiently real geometric moments of planar convex shapes can be reconstructed from their digital pictures
Traditional panorama visualization techniques give only the single eye's depth cues to the a... more Traditional panorama visualization techniques give only the single eye's depth cues to the audience for the 3D world navigation. We introduce a new panorama visualization approach so that the depth cues for both eyes are provided in the panoramic image. The full color anaglyphs stereoscopic technique is adopted to produce and visualize the stereo panorama, which exploits human visual capability so the binocular depth and synthesized colors can be perceived and understood. Because both panoramic and anaglyphic image acquisition setups are incompatible intrinsically, we measure the errors of anaglyphic panorama image and deliver an error controlling formula that allows a better camera position to be determined at setup time. A real-time interactive player is developed for navigation in the stereo panoramic virtual world. In addition to the standard functions provided in the player, three new features are equipped to the player (i.e. a new driving method, manipulable objects embed...
Recent results in the theory of inductive inference are summarized. They concern deciphering of a... more Recent results in the theory of inductive inference are summarized. They concern deciphering of automata, language identification, prediction of functions, inference with additional information, strategies, functionals, index sets, characterization of identification types, ...
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