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Central B-spline basis functions of order p.

Central B-spline basis functions of order p.

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Fig. 1: Examples of point clouds: facades, cultural artifacts,...
Fig. 2: Central B-spline basis functions of order p.
Fig. 3: Three equivalent analysis filter banks, from top: (a)...
Fig. 5: Haar Transform butterfly structure for depth d = 3.
+8 Fig. 6: Haar Transform tree structure for depth d = 3.
A Volumetric Approach to Point Cloud Compression
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  • Sep 2018
Compression of point clouds has so far been confined to coding the positions of a discrete set of points in space and the attributes of those discrete points. We introduce an alternative approach based on volumetric functions, which are functions defined not just on a finite set of points, but throughout space. As in regression analysis, volumetric...
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Context 1
... all x. From this definition, it can be seen that φ (p) (x) is the p-fold convolution of φ (1) (x) with itself, and that the support of φ (p) (x) is an interval of length p, as shown in Fig. 2. An alternative recursive definition for p > 1 ...
Context 2
... all x. From this definition, it can be seen that φ (p) (x) is the p-fold convolution of φ (1) (x) with itself, and that the support of φ (p) (x) is an interval of length p, as shown in Fig. 2. An alternative recursive definition for p > 1 ...
Context 3
... all x. From this definition, it can be seen that φ (p) (x) is the p-fold convolution of φ (1) (x) with itself, and that the support of φ (p) (x) is an interval of length p, as shown in Fig. 2. An alternative recursive definition for p > 1 ...