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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
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
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)
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
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
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
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
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
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
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)
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)
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
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)
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
Branch of mathematics
methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or
Geometry
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
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
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
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
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
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
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
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
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
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
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
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
Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical
Numerical_algebraic_geometry
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
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
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)
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
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)
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
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
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)
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
Study of computation
graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes
Computer_science
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
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
Area of discrete mathematics
continuous curved edges in Euclidean space. As part of discrete geometry and computational geometry, geometric graph theory studies planar graphs, relationship
Graph_theory
Brazilian software programmer
splines and other function approximation methods, graph theory, computational geometry and several other fields. According to the ISI Web Of Science, as
Jorge_Stolfi
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
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)
Belgian computer scientist and mathematician
computer scientist and mathematician whose research topics include computational geometry, data structures, and recreational mathematics. He is professor
Stefan_Langerman
Computer system simulating intelligence
Recognized journals include Computational Intelligence, International Journal of Computational Intelligence Systems, Applied Computational Intelligence and Soft
Computational_intelligence
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
American computer scientist
science at the University of California, Davis. Her research is in computational geometry, computer graphics, and visualization, especially algorithms for
Nina_Amenta
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
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
Family of problems in computational geometry
The point location class of problems is a fundamental topic of computational geometry. It finds applications in areas that deal with processing geometrical
Point_location
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
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
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)
Algorithms for mesh generation
on Computational Geometry. pp. 274–280. Shewchuk, Jonathan (2002). "Delaunay refinement algorithms for triangular mesh generation". Computational Geometry:
Delaunay_refinement
Type of geometry processing
algebra Computational geometry Constructive solid geometry, a method of defining three-dimensional shapes using a similar set of operations Geometry processing
Boolean operations on polygons
Boolean_operations_on_polygons
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
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
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
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
Type of directed graph
clusterings quickly. Nearest neighbor graphs are also a subject of computational geometry. The method can be used to induce a graph on nodes with unknown
Nearest_neighbor_graph
Geometric graph with unit edge lengths
MR 0058193 Braß, Peter (2002), "Combinatorial geometry problems in pattern recognition", Discrete & Computational Geometry, 28 (4): 495–510, doi:10.1007/s00454-002-2884-3
Unit_distance_graph
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
Continuous unfolding of a polyhedron
Computational Geometry, 31 (3): 207–218, doi:10.1016/j.comgeo.2004.12.004, MR 2143321. Announced at the Canadian Conference on Computational Geometry
Blooming_(geometry)
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
Israeli computer scientist
הלפרין) is an Israeli computer scientist known for his work on computational geometry and robotics. He is currently a Full Professor in the School of
Dan_Halperin
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
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
Point where two or more curves, lines, or edges meet
differential geometry. Birkhäuser Verlag AG. ISBN 978-3-7643-8620-7. Devadoss, Satyan; O'Rourke, Joseph (2011). Discrete and Computational Geometry. Princeton
Vertex_(geometry)
"Generating All Vertices of a Polyhedron Is Hard". Discrete and Computational Geometry. 39 (1–3): 174–190. doi:10.1007/s00454-008-9050-5. David Avis; Komei
Vertex_enumeration_problem
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
Field of mathematics which studies incidence structures
Bounds for Incidences% and Complexity of Many Faces". Discrete & Computational Geometry. 28 (4): 475–490. doi:10.1007/s00454-001-0084-1. Aigner, Martin;
Incidence_geometry
On graph drawing with integer edge lengths
Conference on Computational Geometry (CCCG 2013) (PDF). Brass, Peter; Moser, William O. J.; Pach, János (2005), Research Problems in Discrete Geometry, Springer
Harborth's_conjecture
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 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)
Flat-sided three-dimensional shape
as well as appearing in biological creatures, nature, and modern computational geometry. The Original Sin in the theory of polyhedra goes back to Euclid
Polyhedron
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
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
Distance estimation problems in computational geometry
Proximity problems is a class of problems in computational geometry which involve estimation of distances between geometric objects. A subset of these
Proximity_problems
Computational geometry problem
In computational geometry, Klee's measure problem is the problem of determining how efficiently the measure of a union of (multidimensional) rectangular
Klee's_measure_problem
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
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
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
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
Technique or strategy underlying a variety of algorithms
An algorithmic paradigm or algorithm design paradigm is a generic model or framework which underlies the design of a class of algorithms. An algorithmic
Algorithmic_paradigm
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
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
Edge-joined polygon with multiple principle shapes
OʼRourke, Joseph (2013-10-01). "Refold rigidity of convex polyhedra". Computational Geometry. 46 (8): 979–989. doi:10.1016/j.comgeo.2013.05.002. hdl:1721.1/99989
Common_net
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
Australian computer scientist
graphics, human-computer interaction, computer security, computational algebra, and computational geometry. John Canny received his B.Sc. in computer science
John_Canny
Point set triangulation minimizing total length
In computational geometry and computer science, the minimum-weight triangulation problem is the problem of finding a triangulation of minimal total edge
Minimum-weight_triangulation
three current categories of computational origami research: universality results, efficient decision algorithms, and computational intractability results.
Mathematics_of_paper_folding
In computational geometry, the multiple line segment intersection problem supplies a list of line segments in the Euclidean plane and asks whether any
Multiple line segment intersection
Multiple_line_segment_intersection
Mathematical model of computer
In computing, especially computational geometry, a real RAM (random-access machine) is a mathematical model of a computer that can compute with exact real
Real_RAM
American computer scientist
Smith computer science department. His main research interest is computational geometry. One of O'Rourke's early results was an algorithm for finding the
Joseph_O'Rourke_(professor)
American computer scientist
College Park department of computer science whose research is in computational geometry. Mount received a B.S. in Computer Science at Purdue University
David_Mount
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
Girl/Female
Indian
Long Sight
Girl/Female
American, Christian, German, Irish
Strong One; Free Woman; Womanly
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Illustrious
Surname or Lastname
English, Welsh, and Irish
English, Welsh, and Irish : variant of Kendrick.
Girl/Female
American, Bengali, British, Christian, English, French, Gujarati, Hindu, Indian, Kannada, Latin, Malayalam, Marathi, Oriya, Sanskrit, Sikh, Sindhi, Tamil, Telugu
Noble Woman; Power of Three Sea; Desire; Thirst; Aristocratic; Three Goddesses Shakthi
Girl/Female
Czechoslovakian German
Lucky.
Surname or Lastname
English
English : habitational name from places called Bellingham, in Greater London (formerly in Kent) and Northumberland. The former is named with Old English BeringahÄm ‘homestead (Old English hÄm) of the followers of Be(o)ra’, a byname meaning ‘bear’; the latter seems to have been originally named as the ‘homestead of the dwellers at the bell’, from Old English belle used in a transferred sense of a bell-shaped hill.Richard Bellingham (c.1592–1672) came from Boston, Lincolnshire, England, to Boston, MA, in 1634. He was a controversial political figure in the new colony, an opponent of John Winthrop. He was elected governor of MA in 1641 and again in 1654 and 1665–72.
Boy/Male
German, Hebrew
The Lord will Help
Boy/Male
Indian, Punjabi, Sikh
Victorious; Happy Brave
Girl/Female
Arabic
Bright; Bold
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
COMPUTATIONAL GEOMETRY
n.
Account; reckoning; computation.
n.
The act or process of computing; calculation; reckoning.
n.
Reckoning; computation.
v. t.
To exceed in reckoning or computation.
n.
The difference of the results obtained by observation, and by computation from a formula.
n.
Enumeration; computation.
n.
Erroneous computation; false reckoning.
v. i.
To make an enumeration or computation; to engage in numbering or computing.
n.
Computation.
n.
An erroneous computation.
a.
Proceeding by sixes; sextuple; -- applied especially to a system of arithmetical computation in which the base is six.
n.
The science of numbers; the art of computation by figures.
n.
A reckoning; computation; calculation; enumeration; a record of some reckoning; as, the Julian account of time.
a.
Capable of being measured; susceptible of mensuration or computation.
n.
The result of computation; the amount computed.
n.
The act or process, or the result, of calculating; computation; reckoning, estimate.
n.
The fifth month of the Jewish year according to the ecclesiastical reckoning, the eleventh by the civil computation, coinciding nearly with August.
a.
Proceeding in computation by twelves; expressed in the scale of twelves.
n.
A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.
n.
The act or process of making mathematical computations or of estimating results.