Computer Aided Geometric Design

We present a novel method to generate quad meshes for non-rigid objects. Our method takes into account the geometry of a collection of key poses in one-to-one correspondence or even an entire animation sequence. From this input, on a ...

3D geometric features represent rich details of 3D models, whose scale is much larger than noise. Traditional point cloud denoising methods cannot handle the task of processing and analyzing these features. Rolling guidance normal ...

We propose an algorithm for computing injective IGA-suitable planar parameterizations with as uniform and orthogonal as possible iso-parametric structure. Central to this approach is a PolySquare-enhanced domain partition procedure ...

Simplicial sets and cubical sets are combinatorial structures which have been studied for a long time in Algebraic Topology. These structures describe sets of regular cells, respectively simplices and cubes, and any kind of assembly of ...

Generating an interior support structure is a key issue in 3D model geometric optimization for 3D printing. Most existing interior support structures have been designed by simulating lightweight structures naturally exist. One ...

The preservation of the quality of 3D data along the possibly long chain from digital scanning to 3D model deployment is of paramount importance within an increasing number of advanced geometry design processes in the mesh domain, ...

We present an algorithm that computes the one-sided Hausdorff distance from a triangle mesh to a quad mesh. Our algorithm is much more robust than previous ones in the sense that memory requirement is vastly reduced, by avoiding ...

Knot placement for curve approximation is a well known and yet open problem in geometric modeling. Selecting knot values that yield good approximations is a challenging task, based largely on heuristics and user experience. More ...

Proximity curves represent a family of curves that are associated with a given parametric curve, defined by control points and basis functions. Proximity curves continuously sweep from this curve to its control polygon ...

Constructive Solid Geometry (CSG) is one of the popular techniques that is widely applied in 3D modeling. It combines primitive solids using Boolean operations. However, the trade-off between efficiency and robustness of Boolean ...

Modeling and computing of trivariate parametric volumes is an important research topic in the field of three-dimensional isogeometric analysis. In this paper, we propose two kinds of exact conversion approaches from Bézier tetrahedra ...

We propose two generalisations of Gregory patches to faces of any valency by using generalised barycentric coordinates in combination with two kinds of multisided Bézier patches. Our first construction builds on S-patches to generalise ...

We present an algorithm for designing interactively with C 1 elastic splines. The idea is to design the elastic spline using a C 1 cubic polynomial spline where each polynomial segment is so close to satisfying the Euler–Lagrange ...

Informative and discriminative feature descriptors play a crucial role in a large variety of shape analysis and processing applications, including shape matching, retrieval, segmentation, recognition, and synthesis. In this paper, in ...

Accurate vascular geometry modeling is an essential task in computer assisted vascular surgery and therapy. This paper presents a vessel cross-section based implicit vascular modeling technique, which represents a vascular surface as a ...

Since the first publications on composition of splines (DeRose et al., 1993; Elber, 1992), it was clear that the composition, T ( S ), of a tensor product B-spline function S with another B-spline function T is no longer a tensor ...

Cartons are broadly used in the packaging industry and in our daily life. While most traditional packages are axis-aligned cuboids, there is a recent trend of creating paper packages and cartons with more complicated geometries. In ...

Automatic fitting techniques are required in many industrial applications, as for example, instrument calibration, data analysis, geometric modeling or reverse engineering. We present an error analysis of advanced techniques for ...

This paper focuses on printing a 2D color image by using a desktop fused deposition modeling (FDM) 3D printer. A fully automatic framework is presented to convert a 2D image into a non-photorealistic line drawing which is suitable for ...

We present a novel feature identification framework to recognize difficult-to-manufacture drilled holes in a complex CAD geometry using deep learning. Deep learning algorithms have been successfully used in object recognition, video ...

In this paper, we present a framework for a 3D printing slicer that is specially designed for function representation (F-rep) models. A direct slicing scheme for F-rep models is proposed, avoiding the expensive steps of generating ...

C 1 continuity is desirable for solving 4th order partial differential equations such as those appearing in Kirchhoff–Love shell models (Kiendl et al., 2009) or Cahn–Hilliard phase field applications (Gómez et al., 2008)...