Filippo Maggioli
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View article: Volumetric Functional Maps
Volumetric Functional Maps Open
The computation of volumetric correspondences between 3D shapes is a prominent tool for medical and industrial applications. In this work, we pave the way for spectral volume mapping, extending for the first time the functional maps framew…
View article: SShaDe: scalable shape deformation via local representations
SShaDe: scalable shape deformation via local representations Open
With the increase in computational power for the available hardware, the demand for high-resolution data in computer graphics applications increases. Consequently, classical geometry processing techniques based on linear algebra solutions …
View article: Reconstructing Curves from Sparse Samples on Riemannian Manifolds
Reconstructing Curves from Sparse Samples on Riemannian Manifolds Open
Reconstructing 2D curves from sample points has long been a critical challenge in computer graphics, finding essential applications in vector graphics. The design and editing of curves on surfaces has only recently begun to receive attenti…
View article: Implicit-ARAP: Efficient Handle-Guided Neural Field Deformation via Local Patch Meshing
Implicit-ARAP: Efficient Handle-Guided Neural Field Deformation via Local Patch Meshing Open
Neural fields have emerged as a powerful representation for 3D geometry, enabling compact and continuous modeling of complex shapes. Despite their expressive power, manipulating neural fields in a controlled and accurate manner -- particul…
View article: A Physically-inspired Approach to the Simulation of Plant Wilting
A Physically-inspired Approach to the Simulation of Plant Wilting Open
Plants are among the most complex objects to be modeled in computer graphics. While a large body of work is concerned with structural modeling and the dynamic reaction to external forces, our work focuses on the dynamic deformation caused …
View article: Efficient Generation of Multimodal Fluid Simulation Data
Efficient Generation of Multimodal Fluid Simulation Data Open
In this work, we introduce an efficient generation procedure to produce synthetic multi-modal datasets of fluid simulations. The procedure can reproduce the dynamics of fluid flows and allows for exploring and learning various properties o…
View article: ReMatching: Low-Resolution Representations for Scalable Shape Correspondence
ReMatching: Low-Resolution Representations for Scalable Shape Correspondence Open
We introduce \emph{ReMatching}, a novel shape correspondence solution based on the functional maps framework. Our method, by exploiting a new and appropriate \emph{re}-meshing paradigm, can target shape-\emph{matching} tasks even on meshes…
View article: Fluid Dynamics Network: Topology-Agnostic 4D Reconstruction via Fluid Dynamics Priors
Fluid Dynamics Network: Topology-Agnostic 4D Reconstruction via Fluid Dynamics Priors Open
Representing 3D surfaces as level sets of continuous functions over $\mathbb{R}^3$ is the common denominator of neural implicit representations, which recently enabled remarkable progress in geometric deep learning and computer vision task…
View article: Newton’s Fractals on Surfaces via Bicomplex Algebra
Newton’s Fractals on Surfaces via Bicomplex Algebra Open
We show how bicomplex numbers can be exploited for computing Newton's fractals in three and four dimensions. The patterns derived from these fractals can be computed very efficiently on GPU as pixel shaders, and they are well suited for su…
View article: Learning Spectral Unions of Partial Deformable 3D Shapes
Learning Spectral Unions of Partial Deformable 3D Shapes Open
Spectral geometric methods have brought revolutionary changes to the field of geometry processing. Of particular interest is the study of the Laplacian spectrum as a compact, isometry and permutation‐invariant representation of a shape. So…
View article: Efficiently Parallelizable Strassen-Based Multiplication of a Matrix by its Transpose
Efficiently Parallelizable Strassen-Based Multiplication of a Matrix by its Transpose Open
The multiplication of a matrix by its transpose, $A^T A$, appears as an intermediate operation in the solution of a wide set of problems. In this paper, we propose a new cache-oblivious algorithm (ATA) for computing this product, based upo…
View article: Efficiently Parallelizable Strassen-Based Multiplication of a Matrix by its Transpose
Efficiently Parallelizable Strassen-Based Multiplication of a Matrix by its Transpose Open
The multiplication of a matrix by its transpose, ATA, appears as an intermediate
\noperation in the solution of a wide set of problems. In this paper, we propose a new
\ncache-oblivious algorithm (AtA) for computing this product, based upo…
View article: Learning Spectral Unions of Partial Deformable 3D Shapes
Learning Spectral Unions of Partial Deformable 3D Shapes Open
Spectral geometric methods have brought revolutionary changes to the field of geometry processing. Of particular interest is the study of the Laplacian spectrum as a compact, isometry and permutation-invariant representation of a shape. So…
View article: Spectral Unions of Partial Deformable 3D Shapes.
Spectral Unions of Partial Deformable 3D Shapes. Open
Spectral geometric methods have brought revolutionary changes to the field of geometry processing -- however, when the data to be processed exhibits severe partiality, such methods fail to generalize. As a result, there exists a big perfor…
View article: SBML2Modelica: integrating biochemical models within open-standard simulation ecosystems
SBML2Modelica: integrating biochemical models within open-standard simulation ecosystems Open
Motivation SBML is the most widespread language for the definition of biochemical models. Although dozens of SBML simulators are available, there is a general lack of support to the integration of SBML models within open-standard general-p…