2013
DOI: 10.1111/cgf.12265
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Image Space Rendering of Point Clouds Using the HPR Operator

Abstract: The hidden point removal (HPR) operator introduced by Katz et al. [KTB07] provides an elegant solution for the problem of estimating the visibility of points in point samplings of surfaces. Since the method requires computing the three-dimensional convex hull of a set with the same cardinality as the original cloud, the method has been largely viewed as impractical for real-time rendering of medium to large clouds. In this paper we examine how the HPR operator can be used more efficiently by combining several … Show more

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Cited by 6 publications
(6 citation statements)
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“…In particular, we believe that particle‐based simulations involving surface tension [AAT13] and surface turbulence [MBT*15] can greatly benefit from our methodology. In terms of rendering, we want to investigate the surface reconstruction in screen space using an image‐based implementation of the HPR operator [MeSEMO14]. Finally, since our method is built upon local visibility tests, adapting it to GPU architecture is feasible, being another direction for future work.…”
Section: Discussionmentioning
confidence: 99%
“…In particular, we believe that particle‐based simulations involving surface tension [AAT13] and surface turbulence [MBT*15] can greatly benefit from our methodology. In terms of rendering, we want to investigate the surface reconstruction in screen space using an image‐based implementation of the HPR operator [MeSEMO14]. Finally, since our method is built upon local visibility tests, adapting it to GPU architecture is feasible, being another direction for future work.…”
Section: Discussionmentioning
confidence: 99%
“…The operator is a simple algorithm to determine visibility in point clouds without performing surface reconstruction. It first transforms the points of the cloud by means of spherical flipping inversion, and then computes the convex hull of the set containing the viewpoint and the transformed points [35]. A point is then marked visible from a given point of view if its inverted point lies on the convex hull ( Figure 3) [33].…”
Section: Visibility Analysismentioning
confidence: 99%
“…Straightforward solutions are in fact bound to fail, and calculating the LOS between two point is not helpful since, except for extreme cases, a point is always visible, even with high-resolution point clouds. The method has found numerous applications in several domains, is supported by theoretical guarantees, and was explained in depth by Katz et al [33][34][35][36]. R, the radius of the sphere for spherical flipping, is the only parameter to set.…”
Section: Visibility Analysismentioning
confidence: 99%
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“…Em 2012 Machado e Silva et al [MeSEO12], publicaram um trabalho que apresenta uma implementação em GPU de um algoritmo para o cálculo do fecho convexo usado pelo operador HPR para tornar viável seu uso em aplicações interativas. Recentemente foi publicada também uma extensão desse trabalho [MeSEMO14] que inclui também amostragem de nuvem de pontos e realização de operações no espaço de imagem. Em 2013 um trabalho também feito por Katz et al [KT13] apresenta um problema considerado dual ao operador HPR, chamado de Target Point Occlusion -TPO, que tem como objetivo buscar pontos que causem a oclusão de um ponto específico a partir de observadores no infinito.…”
Section: Extensões E Trabalhos Relacionadosunclassified