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Research topic in computational geometry
Geometry processing is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms
Geometry_processing
Branch of mathematics
computer vision, differential geometry is used to analyze shapes. In image processing, differential geometry is used to process and analyse data on non-flat
Differential_geometry
results in geometry processing. The conference is geared toward the discussion of mathematical foundations and practical algorithms for the processing of complex
Symposium on Geometry Processing
Symposium_on_Geometry_Processing
Branch of computer science
Computational geometry is a branch of computer science devoted to the study of algorithms that can be stated in terms of geometry. Some purely geometrical
Computational_geometry
Sub-field of computer science
include: Applied mathematics Computational geometry Computational topology Computer vision Image processing Information visualization Scientific visualization
Computer graphics (computer science)
Computer_graphics_(computer_science)
Specialized electronic circuit that accelerates graphics
A graphics processing unit (GPU) is a specialized electronic circuit designed for digital image processing and to accelerate computer graphics, being
Graphics_processing_unit
hardware geometry processing in the consumer PC market, while some earlier products such as Rendition Verite incorporated hardware geometry processing through
Geometry_pipelines
Area of mathematics
in the study of computer graphics, geometry processing and topological combinatorics. Discrete differential geometry (DDG) aims not merely to discretize
Discrete differential geometry
Discrete_differential_geometry
Set of data points in three-dimensional space
library for n-D point clouds and 3D geometry processing Point Set Processing in CGAL, the Computational Geometry Algorithms Library "What are Point Clouds"
Point_cloud
Planar graph drawn by relaxing springs
polarization gives a polyhedral representation of G itself. In geometry processing, Tutte's embedding is used for 2D uv-parametrization S ∗ {\displaystyle
Tutte_embedding
on Intelligent Text Processing and Computational Linguistics Conferences on computer graphics, geometry processing, image processing, and multimedia: MM
List of computer science conferences
List_of_computer_science_conferences
Number of "holes" of a surface
points). For example, the definition of elliptic curve from algebraic geometry is connected non-singular projective curve of genus 1 with a given rational
Genus_(mathematics)
Israeli computer scientist (born 1980)
3D imaging and geometry processing. Bronstein received a PhD in Computer Science in 2007 and co-authored the book Numerical Geometry of Non-rigid Shapes
Alex_Bronstein
Type of geometry processing
Computational geometry Constructive solid geometry, a method of defining three-dimensional shapes using a similar set of operations Geometry processing General
Boolean operations on polygons
Boolean_operations_on_polygons
Computer scientist
working in the fields of computer graphics, geometric modeling and geometry processing. Alexa studied computer science at TU Darmstadt, receiving a Diplom
Marc_Alexa
Computer scientist
working in the fields of computer graphics, geometric modeling and geometry processing. She has received multiple awards, including the ACM SIGGRAPH Significant
Olga_Sorkine-Hornung
Technique in topological data analysis
of line segments with ends on two parallel lines, and later, in geometry processing, by Gunnar Carlsson et al. in 2004. Let F {\displaystyle \mathbb
Persistence_barcode
Representation of a curve by a function of a parameter
generating points on a curve, and for plotting it. Numerous problems in integer geometry can be solved using parametric equations. A classical such solution is
Parametric_equation
Analog of the continuous Laplace operator
"Image processing" (PDF). University of Washington. Retrieved 2019-12-01. Crane, K.; de Goes, F.; Desbrun, M.; Schröder, P. (2013). "Digital geometry processing
Discrete_Laplace_operator
Discretization of Exterior Calculus on Polygonal Meshes". Symposium on Geometry Processing 2017- Posters: 2 pages. doi:10.2312/SGP.20171204. ISBN 978-3-03868-047-5
Discrete_exterior_calculus
Topological space that locally resembles Euclidean space
projective plane. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows complicated structures
Manifold
Branch of mathematics
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is
Geometry
American computer scientist
is known for his contributions to discrete differential geometry and digital geometry processing. He is also a world expert in the area of wavelet based
Peter_Schröder
Series of microarchitectures and instruction set architecture by AMD
that performs graphics processing, and a kernel is a small program written in OpenCL that performs GPGPU processing. These processes don't need that many
Graphics_Core_Next
Smallest convex set containing a given set
In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined
Convex_hull
Algorithm to smooth a polygonal mesh
Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing. SGP '04. Nice, France: ACM. pp. 175–184. doi:10.1145/1057432.1057456
Laplacian_smoothing
Construct in computational geometry
In computational geometry, a constrained Delaunay triangulation is a generalization of the Delaunay triangulation that forces certain required segments
Constrained Delaunay triangulation
Constrained_Delaunay_triangulation
Set of polygons to define the surface of a 3D model
source half-edge mesh representation. Polygon Mesh Processing Library Surface Mesh, a chapter of CGAL, the Computational Geometry Algorithms Library.
Polygon_mesh
Computer markup language
Well-known text (WKT) is a text markup language for representing vector geometry objects. A binary equivalent, known as well-known binary (WKB), is used
Well-known text representation of geometry
Well-known_text_representation_of_geometry
Polygon mesh composed of triangles
there could be eight or more triangles meeting at a single vertex - by processing those vertices just once, it is possible to do a fraction of the work
Triangle_mesh
Infinitesimal version of Lie groupoid
(1997). "The modular automorphism group of a Poisson manifold". Journal of Geometry and Physics. 23 (3–4): 379–394. Bibcode:1997JGP....23..379W. doi:10
Lie_algebroid
Computer graphics journal
Graphical Models is an academic journal in computer graphics and geometry processing publisher by Elsevier. As of 2021[update], its editor-in-chief is
Graphical_Models
Monograph
Topological Inference is a monograph in computational geometry, computational topology, geometry processing, and topological data analysis, on the problem of
Geometric and Topological Inference
Geometric_and_Topological_Inference
Cross-platform graphics API
Tegra X1. Release date: July 31, 2017 More efficient, GPU-sided, geometry processing More efficient shader execution (AZDO) More information through statistics
OpenGL
3D mesh processing software
clouds, and voxel-based data. The library includes functionality for geometry processing, computational analysis, and conversion between different 3D data
MeshLib
Three-holed sphere
surfaces in various theories. Two important applications are to hyperbolic geometry, where decompositions of closed surfaces into pairs of pants are used to
Pair_of_pants_(mathematics)
Type of program in computer graphics
Shaders act on data such as vertices and primitives, generate or morph geometries and fragments, and calculate the colors in a rendered image. Shaders can
Shader
Topics referred to by the same term
Speedway Grand Prix, a series of motorcycling contests Symposium on Geometry Processing, of European Association For Computer Graphics Simmering-Graz-Pauker
SGP
Academic journal
Symposium on Computer Animation (SCA) Eurographics Symposium on Geometry Processing (SGP) Pacific Graphics Conference (PG) Eurovis - The EG and VGTC
IEEE Transactions on Visualization and Computer Graphics
IEEE_Transactions_on_Visualization_and_Computer_Graphics
Type of metric geometry
Taxicab geometry or Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two points is instead defined
Taxicab_geometry
Branch of mathematics studying (smooth) functions of manifolds
unifying geometric concepts in algebraic topology, differential geometry and algebraic geometry. Surgery theory is a collection of techniques used to produce
Geometric_topology
VLSI chip
on the Geometry Engine. It was capable of approximately 6 million operations per second. 3D projection Computer-aided design Graphics processing unit Matrix
Geometry_Engine
Modeling for semiconductor fabrication
goal of process simulation is an accurate prediction of the active dopant distribution, the stress distribution and the device geometry. Process simulation
Semiconductor process simulation
Semiconductor_process_simulation
Israeli researcher in computational geometry and computer graphics
research interests include computational geometry, computer graphics, geometric modeling, and geometry processing. She has also studied the applications
Ayellet_Tal
Fundamental object of geometry
In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical
Point_(geometry)
Open-source geometric modelling kernel
The Computational Geometry Algorithms Library (CGAL) is an open source software library of computational geometry algorithms. While primarily written
CGAL
Use of a GPU for computations typically assigned to CPUs
General-purpose computing on graphics processing units (GPGPU, or less often GPGP) is the use of a graphics processing unit (GPU), which typically handles
General-purpose computing on graphics processing units
General-purpose_computing_on_graphics_processing_units
'03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing. pp. 156–164. doi:10.2312/SGP.SGP03.156-165/156-165 (inactive 12
Shape analysis (digital geometry)
Shape_analysis_(digital_geometry)
Elliptic partial differential equation
reconstruction". Proceedings of the fourth Eurographics symposium on Geometry processing (SGP '06). Eurographics Association, Aire-la-Ville, Switzerland.
Poisson's_equation
Deals with digitized models or images of objects of the 2D or 3D Euclidean space
(1998). Geometry of Digital Spaces. Birkhauser. ISBN 0-8176-3897-0. Marchand-Maillet, S.; Y. M. Sharaiha (2000). Binary Digital Image Processing. Academic
Digital_geometry
Mathematical model of the physical space
Euclidean geometry is a mathematical system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements
Euclidean_geometry
Branch of computational geometry
interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry. In architecture, geometric design
Geometric_design
Algorithm
is an open-source framework for n-dimensional point clouds and 3D geometry processing. It includes several variants of the ICP algorithm. Open source C++
Iterative_closest_point
Study of random spatial patterns
In mathematics, stochastic geometry is the study of random spatial patterns. At the heart of the subject lies the study of random point patterns. This
Stochastic_geometry
Surface in 3D space defined by an implicit function of three variables
K3DSurf supports Parametric equations and Isosurfaces CGAL (Computational Geometry Algorithms Library), written in C++, has strong support for implicit surface
Implicit_surface
Instruction set architecture
PlayStation video game console, COP2 is the Geometry Transformation Engine (GTE), which accelerates the processing of geometry in 3D computer graphics. MIPS is a
MIPS_architecture
Study of discrete mathematical structures
in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete
Discrete_mathematics
Israeli researcher
a Canadian researcher in computer graphics, geometric modeling, geometry processing, and mesh generation, particularly known for her research on mesh
Alla_Sheffer
Graphics that use a three-dimensional representation of geometric data
Graphics processing unit (GPU) List of 3D computer graphics software 3D data acquisition and object reconstruction 3D projection on 2D planes Geometry processing
3D_computer_graphics
Design and production process
their objects throughout the printing process with unprinted powder. This permits the production of geometries not easily otherwise created. However,
Digital modeling and fabrication
Digital_modeling_and_fabrication
API used in Microsoft DirectX for 3D rendering
interface and geometry functions have been removed and are now distributed as source via CodePlex under DirectXMesh geometry processing library. Texture
Direct3D
Type of random mathematical object
geology, seismology, physics, economics, image processing, and telecommunications. The Poisson point process is often defined on the real number line, where
Poisson_point_process
3D mesh processing software system
MeshLab is a 3D mesh processing software system that is oriented to the management and processing of unstructured large meshes and provides a set of tools
MeshLab
Venues where people gather and repair everyday items
It can be converted to a .stl or .obj format and revised using geometry processing software such as makeprintable, netfabb, MeshLab, Meshmixer, Cura
Repair_Café
Series of GPUs by AMD
needed] Primitive shader for improved geometry processing. Replaces vertex and geometry shaders in geometry processing pipelines with a more programmable
Radeon_RX_Vega_series
Timeline of early 3D graphics hardware
listed. "Matrix multiplier", "vector processor", "tensor processor", "3D accelerator", "Geometry Engine", and "geometry pipeline" all have related meanings
Timeline of early 3D computer graphics hardware
Timeline_of_early_3D_computer_graphics_hardware
Israeli computer scientist and entrepreneur
from machine learning, computer vision, and pattern recognition to geometry processing, computer graphics, and imaging. He is mainly known for his research
Michael_Bronstein
Creating a complex 3D surface or object by combining primitive objects
Constructive solid geometry (CSG; formerly called computational binary solid geometry) is a technique used in solid modeling. Constructive solid geometry allows a
Constructive_solid_geometry
3D mesh processing software
has been working in 3D mesh processing and inspection since 2007. It was initially focused on custom geometry processing and specialized 3D software for
MeshInspector
3D animation software
would be totally valid. SOPs – Surface Operators – for generic geometry processing, procedural modelling and some types of simulations. POPs – Particle
Houdini_(software)
Object modeling method
generation Polygon (computer graphics) Polygon mesh Vector graphics Geometry processing 3D modeling "Primitive - OpenGL Wiki". www.opengl.org. "Using a Basic
Polygonal_modeling
Open-source algorithm library
an open-source library of algorithms for point cloud processing tasks and 3D geometry processing, such as occur in three-dimensional computer vision.
Point_Cloud_Library
Notion for convergence of metric spaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing - SGP '04. p. 32. doi:10.1145/1057432.1057436. ISBN 3905673134. S2CID 207156533
Gromov–Hausdorff_convergence
American-born computer scientist
FAUST received the Dataset Award from the Eurographics Symposium on Geometry Processing (SGP), 2016. 1985–1989: After his bachelor's degree, Black moved
Michael_J._Black
Chinese-American mathematician (born 1949)
differential geometry and geometric analysis. The impact of Yau's work are also seen in the mathematical and physical fields of convex geometry, algebraic
Shing-Tung_Yau
Fabless semiconductor company
array processor to do the heavy lifting for intensive media processing tasks such as; 2D graphics, 3D graphics, video decode/encode, image processing and
3Dlabs
Method of determining a location
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points.
Triangulation
Geometry of stereo vision
Epipolar geometry is the geometry of stereo vision. When two cameras view a 3D scene from two distinct positions, there are a number of geometric relations
Epipolar_geometry
Point cloud processing software
Wayback Machine, M. Kazhdan, M. Bolitho, and H. Hoppe, Symposium on Geometry Processing, June 2006, pages 61--70 Cork Archived 2020-09-09 at the Wayback
CloudCompare
Occlusion query A command passed to a graphics processing unit requesting the testing of bounding volume geometry against the depth buffer to determine if any
Glossary_of_computer_graphics
Collection of random variables
Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control
Stochastic_process
Series of video cards
Equipped with 4 vertex shader units, R300 possessed over twice the geometry processing capability of the preceding Radeon 8500 and the GeForce4 Ti 4600
Radeon_9000_series
Producing images of 3D scenes
renderer combines rasterization with geometry processing (which is not specific to rasterization) and pixel processing which computes the RGB color values
Rendering_(computer_graphics)
Database of data representing objects in geometric space
ST_Distance(geometry, geometry) : number ST_Equals(geometry, geometry) : boolean ST_Disjoint(geometry, geometry) : boolean ST_Intersects(geometry, geometry) :
Spatial_database
Area of research
Architectural geometry is an area of research which combines applied geometry and architecture, which looks at the design, analysis and manufacture processes. It
Architectural_geometry
Infinitely detailed mathematical structure
multi-fractal depth", Signal Processing, vol. 93 573 (2013). R.P. Taylor et al, "Authenticating Pollock Paintings Using Fractal Geometry", Pattern Recognition
Fractal
Partitioning a digital image into segments
In digital image processing and computer vision, image segmentation is the process of partitioning a digital image into multiple image segments, also
Image_segmentation
Skeletonized version of algebraic geometry
In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication
Tropical_geometry
Shape with three sides
polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the
Triangle
splatting Geometric modeling Geometric primitive Geometrical optics Geometry processing Global illumination Gouraud shading GPU Graph drawing Graphics library
List of computer graphics and descriptive geometry topics
List_of_computer_graphics_and_descriptive_geometry_topics
Fitting an approximating function to data
Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing. SGP '04. Nice, France: ACM. pp. 175–184. doi:10.1145/1057432.1057456
Smoothing
contributions. In 2005, he was keynote speaker in Eurographics Symposium on Geometry Processing, in Vienna. His academic background includes a BE in industrial design
Luiz_Velho
American computer technology company
would be easier to create if GPU hardware were as efficient at processing a ray as processing a vertex or fragment using existing rasterisation methods. Caustic
Caustic_Graphics
Medical imaging procedure
the scan data to be reformatted as images in other planes. Digital geometry processing can generate a three-dimensional image of an object inside the body
CT_scan
Biometric identification
Hand geometry is a biometric that identifies users from the shape of their hands. Hand geometry readers measure a user's palm and fingers along many dimensions
Hand_geometry
representation". Proceedings of the fifth Eurographics symposium on Geometry processing. Eurographics Association. pp. 225–233. ISBN 978-3-905673-46-3. Sun
Spectral_shape_analysis
Relation used in geometry
affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines
Parallel_(geometry)
Subspace of n-space whose dimension is (n-1)
In geometry, a hyperplane is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension. Like
Hyperplane
moving video). Image geometry correction is generally implemented in 2 different ways: Graphics processing Signal processing Both techniques involve
Image_geometry_correction
Generalization of the concept of parallel lines
General Offset Curves and Surfaces". In Barnhill, Robert E. (ed.). Geometry Processing for Design and Manufacturing. SIAM. pp. 101–. ISBN 978-0-89871-280-3
Parallel_curve
GEOMETRY PROCESSING
GEOMETRY PROCESSING
Surname or Lastname
English and Scottish
English and Scottish : metonymic occupational name for a harpist (see Harper), or occasionally a habitational name for someone living at a house distinguished by the sign of a harp.English : habitational name from a minor place such as Harp House in Eastwood, Essex, or South Harp in South Petherton, Somerset, denoting a place where salt was produced, from Old English hearpe ‘harp’, an implement used in the processing of salt. Compare Harpham.German : metonymic occupational name for a harpist, from Middle High German harpfe ‘harp’.German : variant of Harpe.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Processing
Boy/Male
Greek
Greek surname. Euclid was an early developer of geometry theories.
GEOMETRY PROCESSING
GEOMETRY PROCESSING
Male
Celtic
, world.
Boy/Male
Hindu
The rising, To rise
Boy/Male
Muslim
Blooming
Surname or Lastname
English
English : topographic name from Middle English newe ‘new’ + hall ‘hall’, denoting someone who lived by or worked in a newly built hall or manor house, or possibly a habitational name from any of various minor places so named (from Old English nīwe + hall), for example in Cheshire and Derbyshire.
Boy/Male
Tamil
Unique, One, United
Surname or Lastname
English (especially Yorkshire) and Scottish
English (especially Yorkshire) and Scottish : occupational name for a fuller, Middle English walkere, Old English wealcere, an agent derivative of wealcan ‘to walk, tread’. This was the regular term for the occupation during the Middle Ages in western and northern England. Compare Fuller and Tucker.The name was brought to North America from northern England and Scotland independently by many different bearers in the 17th and 18th centuries. Samuel Walker came to Lynn, MA, in about 1630; Philip Walker was in Rehoboth, MA, in or before 1643. The surname was also established in VA before 1650; a Thomas Walker, born in 1715 in King and Queen Co., VA, was a physician, soldier, and explorer.
Girl/Female
Hindu, Indian
Benevolence
Boy/Male
Indian, Kannada, Tamil
Perfect
Boy/Male
Hebrew
Saved from the water.
Girl/Female
Australian, Polish
Truthful; Noble
GEOMETRY PROCESSING
GEOMETRY PROCESSING
GEOMETRY PROCESSING
GEOMETRY PROCESSING
GEOMETRY PROCESSING
n.
The measurement of the force or intensity of currents.
adv.
According to the rules or laws of geometry.
n.
The larva of any geometrid moth, as the cankeworm; a geometer; a measuring worm.
n.
Measurement of distances by the odometer.
n.
One skilled in geometry; a geometrician; a mathematician.
a.
Pertaining to geometry.
n.
A Greek geometer of the 3d century b. c.; also, his treatise on geometry, and hence, the principles of geometry, in general.
n.
The larva of any species of geometrid moths. See Geometrid.
n.
One skilled in geometry; a geometer; a mathematician.
n.
That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.
pl.
of Geometry
a.
Pertaining or belonging to the Geometridae.
n.
A treatise on this science.
n.
The calculus; fluxions.
a.
Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.
n.
The larva of any geometrid moth. See Geometrid.
n.
Related to Euclid, or to the geometry of Euclid.
n.
One of numerous genera and species of moths, of the family Geometridae; -- so called because their larvae (called loopers, measuring worms, spanworms, and inchworms) creep in a looping manner, as if measuring. Many of the species are injurious to agriculture, as the cankerworms.
n.
Measurement of life; calculation of the probable duration of human life.
n.
Any species of geometrid moth; a geometrid.