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Branch of computer science
computational geometric algorithms, and such problems are also considered to be part of computational geometry. While modern computational geometry is
Computational_geometry
Branch of mathematics
theory and computational technique. In the 20th century, algebraic geometry split into several subareas. The mainstream of algebraic geometry is devoted
Algebraic_geometry
Book by Marvin Minsky and Seymour Papert
Perceptrons: An Introduction to Computational Geometry is a book written by Marvin Minsky and Seymour Papert and published in 1969. An edition with handwritten
Perceptrons_(book)
Area of mathematics
geometry Computational group theory Computational geometry Computational number theory Computational topology Computational statistics Algorithmic information
Computational_mathematics
The International Symposium on Computational Geometry (SoCG) is an academic conference in computational geometry. Today its acronym is pronounced "sausage
Symposium on Computational Geometry
Symposium_on_Computational_Geometry
list of books in computational geometry. There are two major, largely nonoverlapping categories: Combinatorial computational geometry, which deals with
List of books in computational geometry
List_of_books_in_computational_geometry
Geometry without using coordinates
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic
Synthetic_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
Privacy-preserving computational geometry is the research area on the intersection of the domains of secure multi-party computation (SMC) and computational geometry. Classical
Privacy-preserving computational geometry
Privacy-preserving_computational_geometry
Farthest distance between two points
In computational geometry, the diameter of a finite set of points or of a polygon is its diameter as a set, the largest distance between any two points
Diameter (computational geometry)
Diameter_(computational_geometry)
Shape bounded by non-intersecting line segments
are commonly seen as the input to computational geometry problems, including point in polygon testing, area computation, the convex hull of a simple polygon
Simple_polygon
Academic journal
Discrete & Computational Geometry is a peer-reviewed mathematics journal published quarterly by Springer. Founded in 1986 by Jacob E. Goodman and Richard
Discrete & Computational Geometry
Discrete_&_Computational_Geometry
Radoslav; Pach, János (2011). "A computational approach to Conway's thrackle conjecture". Computational Geometry. 44 (6–7): 345–355. arXiv:1002.3904
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Study of discrete mathematical structures
communication, data organization, computational devices, the flow of computation, etc. In mathematics, they are useful in geometry and certain parts of topology
Discrete_mathematics
Greek-American computer scientist
Stanford University, where he heads the Geometric Computation Group. His research spans computational geometry, computer graphics, computer vision, machine
Leonidas_J._Guibas
List of numerical computational geometry topics enumerates the topics of computational geometry that deals with geometric objects as continuous entities
List of numerical computational geometry topics
List_of_numerical_computational_geometry_topics
Branch of geometry
geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry
Convex_geometry
Branch of geometry that studies combinatorial properties and constructive methods
Discrete geometry has a large overlap with convex geometry and computational geometry, and is closely related to subjects such as finite geometry, combinatorial
Discrete_geometry
List of combinatorial computational geometry topics enumerates the topics of computational geometry that states problems in terms of geometric objects
List of combinatorial computational geometry topics
List_of_combinatorial_computational_geometry_topics
Branch of mathematics
methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or
Geometry
Theorem that any three objects in space can be simultaneously bisected by a plane
line in the previous configuration. In computational geometry, this ham sandwich theorem leads to a computational problem, the ham sandwich problem. In
Ham_sandwich_theorem
Academic journal
Computational Geometry, also known as Computational Geometry: Theory and Applications, is a peer-reviewed mathematics journal for research in theoretical
Computational Geometry (journal)
Computational_Geometry_(journal)
In computational geometry, an ε-net (pronounced epsilon-net) is the approximation of a general set by a collection of simpler subsets. In probability theory
Ε-net (computational geometry)
Ε-net_(computational_geometry)
Shape with three sides
Discrete and Computational Geometry: Proceedings of the 1996 AMS-IMS-SIAM Joint Summer Research Conference, Discrete and Computational Geometry—Ten Years
Triangle
Partition of a simple polygon into triangles
In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of
Polygon_triangulation
Subfield of computer science and mathematics
game theory, machine learning, computational biology, computational economics, computational geometry, and computational number theory and algebra. Work
Theoretical_computer_science
In computational geometry, a Steiner point is a point that is not part of the input to a geometric optimization problem but is added during the solution
Steiner point (computational geometry)
Steiner_point_(computational_geometry)
Conic solid with a polygonal base
line 1. Uehara, Ryuhei (2020), Introduction to Computational Origami: The World of New Computational Geometry, Springer, p. 62, doi:10.1007/978-981-15-4470-5
Pyramid_(geometry)
Dutch computer scientist (born 1958)
for Geometry, Imaging, and Virtual Environments at Utrecht University in the Netherlands. This research center focuses on computational geometry and its
Mark_Overmars
Subfield of mathematical topology
topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and computational
Computational_topology
Academic journal
The International Journal of Computational Geometry and Applications (IJCGA) is a bimonthly journal published since 1991, by World Scientific. It covers
International Journal of Computational Geometry and Applications
International_Journal_of_Computational_Geometry_and_Applications
Complexity class of problems
In computational complexity, problems that are in the complexity class NP but are neither in the class P nor NP-complete are called NP-intermediate, and
NP-intermediate
Measure method in computational geometry
In computational geometry, the method of rotating calipers is an algorithm design technique that can be used to solve optimization problems including finding
Rotating_calipers
Academic journal
Computational Geometry (JoCG) is an open access mathematics journal that was established in 2010. It covers research in all aspects of computational geometry
Journal of Computational Geometry
Journal_of_Computational_Geometry
Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical
Numerical_algebraic_geometry
Overview of and topical guide to geometry
Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive
Outline_of_geometry
Study of computation
graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes
Computer_science
Study of geometry using a coordinate system
foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry. Usually the Cartesian coordinate system
Analytic_geometry
Branch of discrete mathematics
kissing numbers. With the emergence of applications of discrete geometry to computational geometry, these two fields partially merged and became a separate field
Combinatorics
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
– Symposium on Computational Geometry CIAA – International Conference on Implementation and Application of Automata CCC – Computational Complexity Conference
List of computer science conferences
List_of_computer_science_conferences
Property describing run-time complexity of algorithms
such point sets. Output-sensitive algorithms arise frequently in computational geometry applications and have been described for problems such as hidden
Output-sensitive_algorithm
Class of algorithms in computational geometry
In computational geometry, numerous algorithms are proposed for computing the convex hull of a finite set of points, with various computational complexities
Convex_hull_algorithms
Measure of similarity between curves
in CGAL, the Computational Geometry Algorithms Library de Berg, Mark, "Analyzing Trajectories of Moving Objects", Computational Geometry, Two Selected
Fréchet_distance
American computer scientist and mathematician (born 1963)
at the University of California, Irvine, known for his work in computational geometry, graph algorithms, and recreational mathematics. Eppstein is also
David_Eppstein
American computer scientist
on the algorithmic foundations of motion planning, computational biology, computational geometry and parallel computing. Amato is the Abel Bliss Professor
Nancy_M._Amato
Analysis of datasets using techniques from topology
"Morse Theory for Filtrations and Efficient Computation of Persistent Homology". Discrete & Computational Geometry. 50 (2): 330–353. doi:10.1007/s00454-013-9529-6
Topological_data_analysis
Multi-dimensional object whose lengths in each dimension are similar
Fat objects are especially important in computational geometry. Many algorithms in computational geometry can perform much better if their input consists
Fat_object_(geometry)
Class of algorithms which use a moving line to solve geometrical problems
In computational geometry, a sweep line algorithm or plane sweep algorithm is an algorithmic paradigm that uses a conceptual sweep line or sweep surface
Sweep_line_algorithm
Area of discrete mathematics
and Computational Geometry (3rd ed.). CRC Press. Pach, János; Sharir, Micha (2009). "5.5 Angular resolution and slopes". Combinatorial Geometry and Its
Graph_theory
Chinese-American mathematician (born 1949)
clustering and curvature–dimension inequalities on graphs". Discrete & Computational Geometry. 51 (2): 300–322. arXiv:1103.4037. doi:10.1007/s00454-013-9558-1
Shing-Tung_Yau
Flat-sided three-dimensional shape
as well as appearing in biological creatures, nature, and modern computational geometry. There are several standard definitions of convex polyhedra, but
Polyhedron
Indian computer scientist and professor
at the University of Utah. He is known for his contributions in computational geometry and differential privacy, and his work has been covered by news
Suresh_Venkatasubramanian
American mathematician (born 1947)
electronic voting, and technology law. Shamos is known for his work in computational geometry, electronic voting security, digital libraries, and his extensive
Michael_Ian_Shamos
Convex polyhedron with regular faces
ISBN 978-3-319-64123-2. Uehara, Ryuhei (2020). Introduction to Computational Origami: The World of New Computational Geometry. Springer. p. 62. doi:10.1007/978-981-15-4470-5
Johnson_solid
Computational geometry and optimization concept
In computational geometry and approximation algorithms, a coreset is a small, possibly weighted subset of an input point set that approximately preserves
Coreset
Polygon intersected up to twice by lines orthogonal to a given line
monotone polygons Preparata, Franco P.; Shamos, Michael Ian (1985), Computational Geometry – An Introduction, Springer-Verlag, ISBN 0-387-96131-3, 1st edition;
Monotone_polygon
Subdivision of the plane by lines
triangular cells in a Euclidean arrangement, respectively. Algorithms in computational geometry are known for constructing the features of an arrangement in time
Arrangement_of_lines
Type of directed graph
spanning tree. Franco P. Preparata and Michael Ian Shamos (1985). Computational Geometry - An Introduction. Springer-Verlag. ISBN 0-387-96131-3. 1st edition;
Nearest_neighbor_graph
Type of plane partition
Conference on Computational Geometry (CCCG 2016). Edelsbrunner, Herbert (2012) [1987]. "13.6 Power Diagrams". Algorithms in Combinatorial Geometry. EATCS Monographs
Voronoi_diagram
Israeli researcher in computational geometry and computer graphics
Ayellet Tal (Hebrew: איילת טל; born 1962) is an Israeli researcher in computational geometry and computer graphics, who holds the Alfred and Marion Bar Chair
Ayellet_Tal
In computational geometry, the bin is a data structure that allows efficient region queries. Each time a data point falls into a bin, the frequency of
Bin_(computational_geometry)
Set of problem-solving methods
Computational thinking refers to the thought processes involved in formulating problems so their solutions can be represented as computational steps and
Computational_thinking
American computer scientist
Graphics Corporation since 1993. He is known for his research in computational geometry and algorithm engineering. Hershberger did his undergraduate studies
John_Hershberger
Field of geometry closely arranging circles on a plane
"Compact packings of the plane with two sizes of discs". Discrete & Computational Geometry. 35 (2): 255–267. arXiv:math/0407145. doi:10.1007/s00454-005-1172-4
Circle_packing
Canadian computer scientist
Journal of Computational Geometry and Applications. He is also a member of the editorial board of Algorithmica, Discrete & Computational Geometry, and Computational
Timothy_M._Chan
Algorithm for computing convex hulls in a set of points
example of what and how may fail due to floating-point computations in computational geometry. Later D. Jiang and N. F. Stewart elaborated on this and
Graham_scan
Constructing product by means of computer
force for research in computational geometry, computer graphics (both hardware and software), and discrete differential geometry. The design of geometric
Computer-aided_design
Methodological basis for 3D CAD/CAM solid modeling and image rendering
techniques (like BSP), making them no longer raycasting engines. In computational geometry, the ray casting problem is also known as the ray shooting problem
Ray_casting
Graph of intervisible locations in computational geometry
In computational geometry and robot motion planning, a visibility graph is a graph of intervisible locations, typically for a set of points and obstacles
Visibility_graph
Puzzle computer game involving planar graphs
{\displaystyle 2L-1} more edges. The best known algorithms from computational geometry for constructing the graphs of line arrangements solve the problem
Planarity
Multivariate generalization of the median
In statistics and computational geometry, the notion of centerpoint is a generalization of the median to data in higher-dimensional Euclidean space. Given
Centerpoint_(geometry)
Computational geometry problem
pair of points problem or closest pair problem is a problem of computational geometry: given n {\displaystyle n} points in metric space, find a pair of
Closest pair of points problem
Closest_pair_of_points_problem
In discrete geometry and computational geometry, the relative convex hull or geodesic convex hull is an analogue of the convex hull for the points inside
Relative_convex_hull
Solid with 2 parallel n-gonal bases connected by n parallelograms
Prismatoids". Discrete & Computational Geometry. 18: 13–52. doi:10.1007/PL00009307. Malton, Thomas (1774). A Royal Road to Geometry: Or, an Easy and Familiar
Prism_(geometry)
American mathematician (1935–2020)
California, San Diego. He did important work in scheduling theory, computational geometry, Ramsey theory, and quasi-randomness, and many topics in mathematics
Ronald_Graham
Canadian computer scientist (1944–2019)
information retrieval, and computational music theory. He was a co-founder of the Annual ACM Symposium on Computational Geometry, and the annual Canadian
Godfried_Toussaint
Edge-joined polygons which fold into a polyhedron
(2019-04-03), "Pseudo-Edge Unfoldings of Convex Polyhedra", Discrete & Computational Geometry, 64 (3): 671–689, arXiv:1709.04944, doi:10.1007/s00454-019-00082-1
Net_(polyhedron)
crossing number and crossing number are not the same", Discrete and Computational Geometry, 39 (1–3): 442–454, doi:10.1007/s00454-008-9058-x A preliminary
Topological_graph
Field of algorithmic training
approaches are summarized under the term computational engineering, including using computational geometry and virtual design for engineering tasks,
Computational_engineering
Peak or top of a geometric figure
Discrete & Computational Geometry. 60 (1): 170–199. arXiv:1603.01382. doi:10.1007/s00454-017-9953-0. S2CID 14477196. Jacobs, Harold R. (2003). Geometry: Seeing
Apex_(geometry)
Chinese-American mathematician
Association of America for their expository article, A Whirlwind Tour of Computational Geometry. Yao's husband, Andrew Yao, is also a well-known theoretical computer
Frances_Yao
Shortest network connecting points
minimum spanning trees and bichromatic closest pairs", Discrete & Computational Geometry, 6 (1), Springer: 407–422, doi:10.1007/BF02574698, MR 1115099 March
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Graph drawn with all edges intersecting
diameter pairs in higher dimensions, generalizing this problem. In computational geometry, the method of rotating calipers can be used to form a linear thrackle
Thrackle
computations. Computational statistics Computational synthetic geometry Computational topology Computer algebra see symbolic computation Conformal geometry the
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
2013 book by Godfried Toussaint
and New York University. His main professional expertise was in computational geometry, but he was also a jazz drummer, held a long-term interest in the
The Geometry of Musical Rhythm
The_Geometry_of_Musical_Rhythm
Point where two or more curves, lines, or edges meet
1989. Devadoss, Satyan; O'Rourke, Joseph (2011). Discrete and Computational Geometry. Princeton University Press. ISBN 978-0-691-14553-2. Meisters, G
Vertex_(geometry)
Mathematical abstraction of level sets
Reeb graphs have also found a wide variety of applications in computational geometry and computer graphics, including computer aided geometric design
Reeb_graph
Hungarian mathematician
scientist working in the fields of combinatorics and discrete and computational geometry. Pach was born and grew up in Hungary. He comes from a noted academic
János_Pach
American computer scientist
March 14, 1958) is a computer scientist working in the field of computational geometry. He is professor at the Institute of Science and Technology Austria
Herbert_Edelsbrunner
Computational problem
the object from the source to destination. The term is used in computational geometry, computer animation, robotics and computer games. For example, consider
Motion_planning
Vector quantization algorithm minimizing the sum of squared deviations
exponentially many iterations even in the plane" (PDF). Discrete and Computational Geometry. 45 (4): 596–616. doi:10.1007/s00454-011-9340-1. S2CID 42683406
K-means_clustering
and the data structures that solve it are a fundamental topic of computational geometry. Applications of the problem arise in areas such as geographical
Range_searching
Quadrilateral symmetric across a diagonal
"Quadrilateral meshing by circle packing", International Journal of Computational Geometry and Applications, 10 (4): 347–360, arXiv:cs.CG/9908016, doi:10
Kite_(geometry)
Triangulation method
In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull into triangles
Delaunay_triangulation
Mathematical operation on vectors in 3D space
has applications in various contexts. For example, it is used in computational geometry, physics and engineering. A non-exhaustive list of examples follows
Cross_product
Subdivision of space into cells
Conference on Computational Geometry CCCG CompIMAGE: International Symposium Computational Modeling of Objects Represented in Images Computational Fluid Dynamics
Mesh_generation
Israeli mathematician and computer scientist
Aviv University, notable for his contributions to computational geometry and combinatorial geometry, having authored hundreds of papers. Sharir was born
Micha_Sharir
Classification of algorithm
(1991), "Triangulating a Simple Polygon in Linear Time", Discrete & Computational Geometry, 6 (3): 485–524, doi:10.1007/BF02574703, ISSN 0179-5376 Seidel,
Galactic_algorithm
Deals with digitized models or images of objects of the 2D or 3D Euclidean space
{\displaystyle x} and y {\displaystyle y} . Computational geometry Digital topology Discrete geometry Combinatorial geometry Tomography Point cloud A. Rosenfeld
Digital_geometry
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
Surname or Lastname
English
English : variant of Hilburn.
Girl/Female
Aramaic American German Latin
Lady.
Boy/Male
Indian, Punjabi, Sikh
Absorbed in Naam
Boy/Male
Irish
Irish form of John meaning “â€God’s gracious gift.â€â€ Shane is a very popular variant of the name in Northern Ireland in memory of Shane O’Neill whose forces won notable victories over the armies of Queen Elizabeth 1st in the sixteenth century.
Boy/Male
Italian English
Blind.
Girl/Female
Australian, Gujarati, Hindu, Indian, Kannada
Singing Song
Girl/Female
American, British, Celtic, Christian, English, German, Welsh
White Wave; Race of Women; White and Smooth; Soft; White Race
Girl/Female
Tamil
Chief or leader or judge, Conqueror
Boy/Male
Teutonic
Brave noble.
Boy/Male
Tamil
Dawn, Sunrise, Morning glory, First Ray of light, One who is of the nature of time itself
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
a.
Capable of being measured; susceptible of mensuration or computation.
a.
Proceeding by sixes; sextuple; -- applied especially to a system of arithmetical computation in which the base is six.
n.
A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.
n.
The fifth month of the Jewish year according to the ecclesiastical reckoning, the eleventh by the civil computation, coinciding nearly with August.
n.
The act or process of computing; calculation; reckoning.
n.
The science of numbers; the art of computation by figures.
n.
Enumeration; computation.
n.
The result of computation; the amount computed.
n.
A reckoning; computation; calculation; enumeration; a record of some reckoning; as, the Julian account of time.
v. i.
To make an enumeration or computation; to engage in numbering or computing.
n.
The difference of the results obtained by observation, and by computation from a formula.
n.
An erroneous computation.
v. t.
To exceed in reckoning or computation.
n.
Account; reckoning; computation.
n.
Computation.
a.
Proceeding in computation by twelves; expressed in the scale of twelves.
n.
The act or process of making mathematical computations or of estimating results.
n.
Erroneous computation; false reckoning.
n.
Reckoning; computation.
n.
The act or process, or the result, of calculating; computation; reckoning, estimate.