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- research-articleApril 2023
Systematically Exploring High-Performance Representations of Vector Fields Through Compile-Time Composition
ICPE '23: Proceedings of the 2023 ACM/SPEC International Conference on Performance EngineeringPages 55–66https://doi.org/10.1145/3578244.3583723We present a novel benchmark suite for implementations of vector fields in high-performance computing environments to aid developers in quantifying and ranking their performance. We decompose the design space of such benchmarks into access patterns and ...
- research-articleNovember 2022
High-Order Directional Fields
ACM Transactions on Graphics (TOG), Volume 41, Issue 6Article No.: 254, Pages 1–17https://doi.org/10.1145/3550454.3555455We introduce a framework for representing face-based directional fields of an arbitrary piecewise-polynomial order. Our framework is based on a primal-dual decomposition of fields, where the exact component of a field is the gradient of piecewise-...
- research-articleFebruary 2020
Subdivision Directional Fields
ACM Transactions on Graphics (TOG), Volume 39, Issue 2Article No.: 11, Pages 1–20https://doi.org/10.1145/3375659We present a novel linear subdivision scheme for face-based tangent directional fields on triangle meshes. Our subdivision scheme is based on a novel coordinate-free representation of directional fields as halfedge-based scalar quantities, bridging the ...
- posterJuly 2018
Evolving PSO algorithm design in vector fields using geometric semantic GP
GECCO '18: Proceedings of the Genetic and Evolutionary Computation Conference CompanionPages 262–263https://doi.org/10.1145/3205651.3205760This paper investigates the possibility of evolving new particle swarm equations representing a collective search mechanism, acting in environments with unknown external dynamics, using Geometric Semantic Genetic Programming (GSGP). The proposed method ...
- research-articleNovember 2009
Visualizing and manipulating automatic document orientation methods using vector fields
ITS '09: Proceedings of the ACM International Conference on Interactive Tabletops and SurfacesPages 65–68https://doi.org/10.1145/1731903.1731918We introduce and illustrate a design framework whereby tabletop documents are oriented according to vector fields that can be visualized and altered by end users. We explore and illustrate the design space using interactive 2D mockups and show how this ...
- research-articleJuly 2009
Example-based hair geometry synthesis
SIGGRAPH '09: ACM SIGGRAPH 2009 papersArticle No.: 56, Pages 1–9https://doi.org/10.1145/1576246.1531362We present an example-based approach to hair modeling because creating hairstyles either manually or through image-based acquisition is a costly and time-consuming process. We introduce a hierarchical hair synthesis framework that views a hairstyle both ...
- research-articleJuly 2009
Example-based hair geometry synthesis
ACM Transactions on Graphics (TOG), Volume 28, Issue 3Article No.: 56, Pages 1–9https://doi.org/10.1145/1531326.1531362We present an example-based approach to hair modeling because creating hairstyles either manually or through image-based acquisition is a costly and time-consuming process. We introduce a hierarchical hair synthesis framework that views a hairstyle both ...
- ArticleJuly 2006
Vector field based shape deformations
We present an approach to define shape deformations by constructing and interactively modifying C1 continuous time-dependent divergence-free vector fields. The deformation is obtained by a path line integration of the mesh vertices. This way, the ...
- ArticleJuly 2006
Edge subdivision schemes and the construction of smooth vector fields
Vertex- and face-based subdivision schemes are now routinely used in geometric modeling and computational science, and their primal/dual relationships are well studied. In this paper, we interpret these schemes as defining bases for discrete ...
- articleJuly 2006
Vector field based shape deformations
ACM Transactions on Graphics (TOG), Volume 25, Issue 3Pages 1118–1125https://doi.org/10.1145/1141911.1142002We present an approach to define shape deformations by constructing and interactively modifying C1 continuous time-dependent divergence-free vector fields. The deformation is obtained by a path line integration of the mesh vertices. This way, the ...
- articleJuly 2006
Edge subdivision schemes and the construction of smooth vector fields
ACM Transactions on Graphics (TOG), Volume 25, Issue 3Pages 1041–1048https://doi.org/10.1145/1141911.1141991Vertex- and face-based subdivision schemes are now routinely used in geometric modeling and computational science, and their primal/dual relationships are well studied. In this paper, we interpret these schemes as defining bases for discrete ...
- ArticleJuly 2003
Discrete multiscale vector field decomposition
While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finite-difference methods. In this paper, we propose a set of simple and ...
- articleJuly 2003
Discrete multiscale vector field decomposition
ACM Transactions on Graphics (TOG), Volume 22, Issue 3Pages 445–452https://doi.org/10.1145/882262.882290While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finite-difference methods. In this paper, we propose a set of simple and ...
- ArticleMay 2003
MCMR: a fluid view on time dependent volume data
Mass Conservative Motion Reconstruction is a new method for estimating motion in time dependent volume data. A time dependent vector field representing the movement of the data is computed from a sequence of scalar volume data sets. The principle of mass ...
- ArticleOctober 2002
BM3D: motion estimation in time dependent volume data
This paper describes BM3D: a method for the analysis of motion in time dependent volume data. From a sequence of volume data sets a sequence of vector data sets representing the movement of the data is computed. A block matching technique is used for ...