The normals of closed, smooth surfaces have long been used to determine whether a point is inside or outside such surface. It tempting also use this method for polyhedra represented as triangle meshes. Unfortunately, not possible since, at the vertices and edges mesh, surface C1 continuous, hence, normal undefined these loci. In paper, we undertake show that angle weighted pseudonormal (originally proposed by Thürmer Wüthrich independently Séquin) has important property it allows us...

Abstract Scalar functions defined on manifold triangle meshes is a starting point for many geometry processing algorithms such as mesh parametrization, skeletonization, and segmentation. In this paper, we propose the Auto Diffusion Function (ADF) which linear combination of eigenfunctions Laplace‐Beltrami operator in way that has simple physical interpretation. The ADF given 3D object number further desirable properties: Its extrema are generally at tips features object, its gradients level...

A method for implicit surface reconstruction is proposed. The novelty in this paper the adaption of Markov Random Field regularization a distance field. formulation allows us to integrate both knowledge about type we wish reconstruct (the prior) and data observation model) an orthogonal fashion. Local models that account scene-specific physical properties scanning device are described. Furthermore, how optimal field can be computed demonstrated using conjugate gradients, sparse Cholesky...

We present a novel, topology-adaptive method for deformable interface tracking, called the Deformable Simplicial Complex (DSC). In DSC method, is represented explicitly as piecewise linear curve (in 2D) or surface 3D) which part of discretization (triangulation/tetrahedralization) space, such that can be retrieved set faces separating triangles/tetrahedra marked inside from ones outside (so it also given implicitly). This representation allows robust topological adaptivity and, thanks to...

We present CASSIE, a conceptual modeling system in VR that leverages freehand mid-air sketching, and novel 3D optimization framework to create connected curve network armatures, predictively surfaced using patches with C0 continuity. Our provides judicious balance of interactivity automation, providing homogeneous drawing interface for mix curves, networks, surface patches. encourages aids users consistent networks easing the transition from ideation concept modeling. A comprehensive user...

In this paper, we present a method for animating multiphase flow of immiscible fluids using unstructured moving meshes.Our underlying discretization is an tetrahedral mesh, the deformable simplicial complex (DSC), that moves with in Lagrangian manner.Mesh optimization operations improve element quality and avoid inversion.In context flow, guarantee every occupied by single fluid and, consequently, interface between represented set faces complex.This approach ensures matches physics avoids...

This paper presents a deep learning-based de-homogenization method for structural compliance minimization. By using convolutional neural network to parameterize the mapping from set of lamination parameters on coarse mesh one-scale design fine mesh, we avoid solving least square problems associated with traditional approaches and save time correspondingly. To train network, two-step custom loss function has been developed which ensures periodic output field that follows local orientations. A...

This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline phasor noise. The proposed methodology offers improvement existing methods, where high-quality single-scale designs can be obtained efficiently without utilisation any least-squares problem or pre-trained models. By utilising a continuous and periodic representation translation at each intermediate step, appropriate length-scale thicknesses obtained....

In this paper, we propose the use of level-set method as underlying technology a volume sculpting system. The main motivation is that leads to very generic technique for deformation volumetric solids. addition, our preserves distance field representation. A scaling window used adapt local deformations and allow user control intensity tool. Level-set based tools have been implemented in an interactive system, show sculptures created using

We introduce the Polar-Annular Mesh representation (PAM). A PAM is a mesh-skeleton co-representation designed for modeling of 3D organic, articulated shapes. represents manifold mesh as partition polar (triangle fans) and annular (rings quads) regions. The skeletal topology shape uniquely embedded in connectivity PAM, enabling both surface operations, interchangeably directly on itself. develop an algorithm to convert arbitrary triangle meshes into PAMs well techniques simplify method...

Despite a well-understood potential to increase productivity of the global construction industry and sustained, international research efforts in recent years, wide-scale adoption robotic technology currently remains elusive industry. As part larger industrial effort efficiency automation technologies within construction, this paper proposes novel multi-layered knowledge encapsulation model enable low-cost development highly diverse control applications parametric manufacturing paradigm. The...

In the field of topology optimization, homogenization approach has been revived as an important alternative to established, density-based methods because it can represent microstructural design at a much finer length-scale than computational grid. The optimal microstructure for single load case is orthogonal rank-3 laminate. A laminate be described in terms frame fields, which are also tool mesh generation both 2D and 3D. We propose method generating multi-laminar structures from fields....