√3-subdivision

Kobbelt, Leif

doi:10.1145/344779.344835

Cited by 269 publications

(213 citation statements)

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“…After n subdivision steps, each facet that has been divided has produced 4 n subfacets. An alternative scheme to Loop subdivision is the √ 3-subdivision (Kobbelt 2000). Instead of splitting the edges, √ 3-scheme subdivides facets by inserting a new vertex to the facet centroid and connecting it to the vertices of the facet (Fig.…”

Section: Subdivision Control Pointsmentioning

confidence: 99%

ADAM: a general method for using various data types in asteroid reconstruction

Viikinkoski

Kaasalainen

Ďurech

2015

A&A

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We introduce ADAM, the All-Data Asteroid Modelling algorithm. ADAM is simple and universal since it handles all disk-resolved data types (adaptive optics or other images, interferometry, and range-Doppler radar data) in a uniform manner via the 2D Fourier transform, enabling fast convergence in model optimization. The resolved data can be combined with disk-integrated data (photometry). In the reconstruction process, the difference between each data type is only a few code lines defining the particular generalized projection from 3D onto a 2D image plane. Occultation timings can be included as sparse silhouettes, and thermal infrared data are efficiently handled with an approximate algorithm that is sufficient in practice because of the dominance of the high-contrast (boundary) pixels over the low-contrast (interior) pixels. This is of particular importance to the raw ALMA data that can be directly handled by ADAM without having to construct the standard image. We study the reliability of the inversion, using the independent shape supports of function series and control-point surfaces. When other data are lacking, one can carry out fast non-convex lightcurve-only inversions, but any shape models resulting from it should only be taken as illustrative large-scale models.

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Section: Subdivision Control Pointsmentioning

confidence: 99%

ADAM: a general method for using various data types in asteroid reconstruction

Viikinkoski

Kaasalainen

Ďurech

2015

A&A

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“…N − 1} 3 representing the indices of vertices forming a triangle. When subdividing a triangular mesh, each edge is cut into two new edges and each triangle is therefore split into four new triangles (recently, another way of splitting triangular meshes has been proposed in [21], only increasing the number of triangles by a factor 3 instead of 4 but in our case, we will only consider the "quadrisection" of triangles). Splitting a mesh with this technique leads to semi-regular meshes, i.e.…”

Section: Review Of Subdivisionmentioning

confidence: 99%

Non-linear subdivision using local spherical coordinates

Aspert

Ebrahimi

2003

Computer Aided Geometric Design

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In this paper, we present an original non-linear subdivision scheme suitable for univariate data, plane curves and discrete triangulated surfaces, while keeping the complexity acceptable. The proposed technique is compared to linear subdivision methods having an identical support. Numerical criteria are proposed to verify basic properties, such as convergence of the scheme and the regularity of the limit function.

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“…The subdivision was proposed in 1970s and only received wide attention until 1990s.Various subdivision algorithms have been proposed since then. The representative researches include Catmull-Clark subdivision scheme, Loop subdivision scheme [9] , Butterfly subdivision scheme and 3 subdivision scheme [10] . Among them, the Loop subdivision scheme and 3 subdivision scheme become popular in recent years due to adopting triangle mesh.…”

Section: Pm With Adaptive Subdivisionmentioning

confidence: 99%

A New Progressive Mesh with Adaptive Subdivision for LOD Models

Xiang-jun

2007

Entertainment Computing – ICEC 2007

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Abstract. Highly detailed models are becoming commonplace in computer graphics. Such models are often represented as triangle meshes, challenging rendering performance, transmission bandwidth, and storage capacities. This paper proposes a new scheme for constructing progressive meshes with adaptive subdivision. Besides, we introduce half-edge collapse simplification and present a new way to calculate error distance. Some experimental results show that our proposed method works well on various meshes.

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√3-subdivision

Cited by 269 publications

References 0 publications

ADAM: a general method for using various data types in asteroid reconstruction

ADAM: a general method for using various data types in asteroid reconstruction

Non-linear subdivision using local spherical coordinates

A New Progressive Mesh with Adaptive Subdivision for LOD Models

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