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Loop Subdivision with Curvature Control
(The Eurographics Association, 2006)
In this paper the problem of curvature behavior around extraordinary points of a Loop subdivision surface is addressed. A variant of Loop s algorithm with small stencils is used that generates surfaces with bounded curvature ...
Size Functions for 3D Shape Retrieval
(The Eurographics Association, 2006)
This paper sketches a technique for 3D model retrieval built on size functions, a mathematical tool to compare shapes. Size functions are introduced for the first time to discriminate among 3D objects, through the proposal ...
Designing Quadrangulations with Discrete Harmonic Forms
(The Eurographics Association, 2006)
We introduce a framework for quadrangle meshing of discrete manifolds. Based on discrete differential forms, our method hinges on extending the discrete Laplacian operator (used extensively in modeling and animation) to ...
A C2 Polar Jet Subdivision
(The Eurographics Association, 2006)
We describe a subdivision scheme that acts on control nodes that each carry a vector of values. Each vector defines partial derivatives, referred to as jets in the following and subdivision computes new jets from old jets. ...
Robust Principal Curvatures on Multiple Scales
(The Eurographics Association, 2006)
Geometry processing algorithms often require the robust extraction of curvature information. We propose to achieve this with principal component analysis (PCA) of local neighborhoods, defined via spherical kernels centered ...
On Transfinite Barycentric Coordinates
(The Eurographics Association, 2006)
A general construction of transfinite barycentric coordinates is obtained as a simple and natural generalization of Floater's mean value coordinates [Flo03, JSW05b]. The Gordon-Wixom interpolation scheme [GW74] and transfinite ...
PriMo: Coupled Prisms for Intuitive Surface Modeling
(The Eurographics Association, 2006)
We present a new method for 3D shape modeling that achieves intuitive and robust deformations by emulating physically plausible surface behavior inspired by thin shells and plates. The surface mesh is embedded in a layer ...
Robust Reconstruction of Watertight 3D Models from Non-uniformly Sampled Point Clouds Without Normal Information
(The Eurographics Association, 2006)
We present a new volumetric method for reconstructing watertight triangle meshes from arbitrary, unoriented point clouds. While previous techniques usually reconstruct surfaces as the zero level-set of a signed distance ...
A Decomposition-based Representation for 3D Simplicial Complexes
(The Eurographics Association, 2006)
We define a new representation for non-manifold 3D shapes described by three-dimensional simplicial complexes, that we call the Double-Level Decomposition (DLD) data structure. The DLD data structure is based on a unique ...
Poisson Surface Reconstruction
(The Eurographics Association, 2006)
We show that surface reconstruction from oriented points can be cast as a spatial Poisson problem. This Poisson formulation considers all the points at once, without resorting to heuristic spatial partitioning or blending, ...