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Geometry
arXiv (Cornell University)
Attribute Compression of 3D Point Clouds Using Laplacian Sparsity Optimized Graph Transform
2017
3D sensing and content capture have made significant progress in recent years and the MPEG standardization organization is launching a new project on immersive media with point cloud compression (PCC) as one key corner stone. In this work, we introduce a new …
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Geometry

Branch of mathematics

Geometry (from Ancient Greek __ γεωμετρία (_geōmetría) 'land measurement'; from __ γῆ () 'earth, land' and __ μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a _geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

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arXiv (Cornell University)
Attribute Compression of 3D Point Clouds Using Laplacian Sparsity Optimized Graph Transform
2017
3D sensing and content capture have made significant progress in recent years and the MPEG standardization organization is launching a new project on immersive media with point cloud compression (PCC) as one key corner stone. In this work, we introduce a new binary tree based point cloud content partition and explore the graph signal processing tools, especially the graph transform with optimized Laplacian sparsity, to achieve better energy compaction and compression efficiency. The resulting rate-distortion opera…
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