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Many geometric problems of interest to mathematical visualization applications involve changing structures requiring mathematical simulations, such as the moves that transform one knot into an equivalent knot. In this paper, we propose to explore a unique paradigm that makes use of self-deformable object models embedded in mathematical space, supplemented by energy-driven relaxation and user-defined...
In this paper, we propose an approach of visual SLAM (Simultaneous localization and mapping) system, in which we build 3D scene models and estimate the camera poses at the same time. We detect SURF feature points from RGB images and use their relevant depth data to build 3D correspondences. With these correspondences, we align consecutive frames together using RANSAC, while ICP is performed when RANSAC...
Just as we can work with two-dimensional floor plans to communicate 3D architectural design, we can exploit reduced- dimension shadows to manipulate the higher-dimensional objects generating the shadows. In particular, by taking advantage of physically reactive 3D shadow-space controllers, we can transform the task of interacting with 4D objects to a new level of physical reality. We begin with a...
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