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Sketching Variational Hermite-RBF Implicits [article]

Emilio Vital Brazil, Ives Macedo, Mario Costa Sousa, Luiz Henrique De Figueiredo, Luiz Velho
2010 Sketch-Based Interfaces and Modeling  
We present techniques for modeling Variational Hermite Radial Basis Function (VHRBF) Implicits using a set of sketch-based interface and modeling (SBIM) operators.  ...  VHRBF Implicits is a simple and compact representation well suited for SBIM.  ...  We then use a Hermite RBF fitter to obtain our final implicit surface (Figure 2 ).  ... 
doi:10.2312/sbm/sbm10/001-008 fatcat:qpqswigvv5dn7n4rhrpbhsioti

Shape and tone depiction for implicit surfaces

Emilio Vital Brazil, Ives Macêdo, Mario Costa Sousa, Luiz Velho, Luiz Henrique de Figueiredo
2011 Computers & graphics  
We present techniques for rendering implicit surfaces in different pen-and-ink styles.  ...  These qualities of HRBF Implicits are used to generate a robust distribution of points to position the drawing primitives.  ...  Hermite RBFs Recently introduced in [6] , HRBF Implicits provide a powerful tool to reconstruct implicitly defined surfaces from points and normals.  ... 
doi:10.1016/j.cag.2010.09.017 fatcat:bj7o6p5ij5cdvpddtcw4fzq5z4

DASS: Detail Aware Sketch-Based Surface Modeling [article]

Emilio Vital Brazil
2014 arXiv   pre-print
The overall shape and global modifications are defined by a variational implicit surface (Hermite RBF).  ...  We present a sketch-based modeling system suitable for detail editing, based on a multilevel representation for surfaces.  ...  The implicit representation, variational Hermite Radial Basis Function (HRBF) used by Vital Brazil et al.  ... 
arXiv:1406.7025v1 fatcat:nwz3cwkvv5cdfblb4jk5phcb3u

Modeling Terrains and Subsurface Geology [article]

Mattia Natali, Endre M. Lidal, Julius Parulek, Ivan Viola, Daniel Patel
2012 Eurographics State of the Art Reports  
His research is focused on illustrative visualization of geological models, sketch-based modelling and computational geometry.  ...  For instance, layers can be represented by combination of implicit primitives or by utilization of RBFs.  ...  Figure 7 : 7 Figure 7: Landscape example generated with a sketch-based approach by Brazil et al. [VMc * 10]. The model is represented with Hermite Radial Basis Functions.  ... 
doi:10.2312/conf/eg2013/stars/155-173 fatcat:bryekflfvndcpoer6pqfm7zchy

Implicit skinning

Rodolphe Vaillant, Loïc Barthe, Gaël Guennebaud, Marie-Paule Cani, Damien Rohmer, Brian Wyvill, Olivier Gourmel, Mathias Paulin
2013 ACM Transactions on Graphics  
The mesh is first approximated by a set of implicit surfaces.  ...  The insight is to exploit the advanced composition mechanism of volumetric, implicit representations for correcting the results of geometric skinning techniques.  ...  Hermite RBF.  ... 
doi:10.1145/2461912.2461960 fatcat:xm4mqtnwgzeffpahrwtifjdinu

JustDrawIt: A 3D Sketching System [article]

Cindy Grimm, Pushkar Joshi
2012 Sketch-Based Interfaces and Modeling  
The user can sketch in a free-form manner from any view at any time, and the system infers how those sketch strokes should be added to the drawing.  ...  We present "JustDrawIt", a sketch-based system for creating 3D curves suitable for surfacing.  ...  We use the Hermite RBF formulation [BMS * 10] to create surfaces from the curve network.  ... 
doi:10.2312/sbm/sbm12/121-130 fatcat:gxyc65nfxfc7ndfhmkew733c5a

Sketch-based modeling and adaptive meshes

Emilio Vital Brazil, Ronan Amorim, Mario Costa Sousa, Luiz Velho, Luiz Henrique de Figueiredo
2015 Computers & graphics  
Amorim et al. [16] presented a sketch-based system 158 using Hermite-Birkhoff interpolation to create implicit mod-159 els applied to geology.  ...  sketches do provide is often inexact; thus, 5 ambiguities are natural.  ...  They also provide with access 153 to local differential properties, such as normals and curvature. 154 Karpenko et al. [15] introduced variational implicit surfaces as 155 representation to sketch-based  ... 
doi:10.1016/j.cag.2015.07.020 fatcat:57ctcjcg7vfaliyfnxyqoqmcdy

Stochastic Drag Analysis via Polynomial Chaos Uncertainty Quantification

Wataru YAMAZAKI
2015 Transactions of the Japan Society for Aeronautical and Space Sciences  
The implicit lower-upper symmetric-Gauss-Seidel (LU-SGS) method 26) is used for time integration.  ...  These correlations are calculated using the Wendland's C4 radial basis function (RBF) 23) in this study.  ... 
doi:10.2322/tjsass.58.89 fatcat:x2anqzkxxza6dfoldqbrmbzjda

Real-Time Shape Editing using Radial Basis Functions

Mario Botsch, Leif Kobbelt
2005 Computer graphics forum (Print)  
However, while analogously to surfacebased methods high quality deformations can be derived from variational optimization, the major drawback lies in the computation and evaluation, which is considerably  ...  In [CBC * 01] the same observation led to an incremental method for fitting an implicit function to a dense set of surface samples.  ...  The steps performed at each iteration n are sketched as follows: For n = 1 to m do: 1. Select or construct A's next column an. 2.  ... 
doi:10.1111/j.1467-8659.2005.00886.x fatcat:jqsgrabtkncoboxwmqxnlwaqya

Hermite interpolation and data processing errors on Riemannian matrix manifolds [article]

Ralf Zimmermann
2019 arXiv   pre-print
The main contribution of this paper is twofold: On the one hand, a general framework for performing Hermite interpolation on Riemannian manifolds is presented.  ...  As use cases, we compute Hermite interpolation curves for orthogonal matrix factorizations such as the singular value decomposition and the QR-decomposition.  ...  A Hermite-type method that is specifically tailored for interpolation problems on the Grassmann manifold is sketched in [4, §3.7.4] .  ... 
arXiv:1908.05875v2 fatcat:yhmzrrexlvenll5nm3px36qh54

Rapid Visualization of Geological Concepts

Mattia Natali, Ivan Viola, Daniel Patel
2012 2012 25th SIBGRAPI Conference on Graphics, Patterns and Images  
To express folding and faulting processes, a first modelling approach based on cross-sectional sketches is introduced.  ...  More precisely, the focus is on interactive scientific sketching and communication of geology, where the result is a digital illustrative 3D model.  ...  Essentially, such solids are described by implicit functions that can be expressed in different forms, e.g., distance based models, analytical functions or interpolation schemes like for instance RBFs.  ... 
doi:10.1109/sibgrapi.2012.29 dblp:conf/sibgrapi/NataliVP12 fatcat:7ota6luhozhothbbefvnrrl6je

Scalable Inference in SDEs by Direct Matching of the Fokker-Planck-Kolmogorov Equation [article]

Arno Solin, Ella Tamir, Prakhar Verma
2021 arXiv   pre-print
The focus is first on specifying models for the latent space dynamics, starting from implicit priors in terms of random ODEs which we frame as Itô SDEs.  ...  Previously, the implicit prior on z(t) over t specified by Eq. ( 1 ) has been generalized to stochastic models by considering v θ (•) to be stochastic.  ... 
arXiv:2110.15739v1 fatcat:fafoab423fhpzi4u4u7r5oxs64

A Survey of Surface Reconstruction from Point Clouds

Matthew Berger, Andrea Tagliasacchi, Lee M. Seversky, Pierre Alliez, Gaël Guennebaud, Joshua A. Levine, Andrei Sharf, Claudio T. Silva
2016 Computer graphics forum (Print)  
The need for off-surface constraints is elegantly avoided by the Hermite RBF (HRBF) scheme [Wen05] .  ...  Global Surface Smoothness Priors Radial basis functions (RBFs). RBFs are a well-known method for scattered data interpolation.  ... 
doi:10.1111/cgf.12802 fatcat:r4qj7emtpzfphajc2hgbqgampi

Implicit representation of inscribed volumes

Parto Sahbaei, David Mould, Brian Wyvill
2018 Proceedings of the Joint Symposium on Computational Aesthetics and Sketch-Based Interfaces and Modeling and Non-Photorealistic Animation and Rendering - Expressive '18  
We present an implicit approach for constructing smooth isolated or interconnected 3-D inscribed volumes which can be employed for volumetric modeling of various kinds of spongy or porous structures, such  ...  Describing the inscribed volumes with implicit functions gives us a freedom to exploit volumetric surface combinations and deformations operations effortlessly. ¶ For the definition, refer to Glossary  ...  Since we are creating a model from one or more scalar field implicit function(s), these Hermite representations must be obtained during grid (regular or octree) traversal for contouring.  ... 
doi:10.1145/3229147.3229164 dblp:conf/npar/SahbaeiMW18 fatcat:cy42o5kiuzgnfbavyrdc7hojv4

Proceedings of the Workshop on Kernel Functions and Meshless Methods honoring the 65th birthday of Robert Schaback, held in Göttingen (Germany), 14−15 January 2011

Martin Buhmann, Stefano De Marchi, Gerlind Plonka-Hoch
2011 Dolomites Research Notes on Approximation  
Here one often uses implicit surface models to approximate or interpolate point cloud data.  ...  Here and below, f X = sup x∈X | f (x)| for f bounded on X, and P d n (K) denotes the space of d-variate polynomials of total degree at most n, restricted to K.  ... 
doaj:651a258ee9eb4599b0464c78c2ffa436 fatcat:ct7v5hwn5zetxcmyzxnrf4bsoe
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