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Methods of approximating line segments for pixel displays
In computer graphics, a line drawing algorithm is an algorithm for approximating a line segment on discrete graphical media, such as pixel-based displays
Line_drawing_algorithm
Line-drawing algorithm
Bresenham's line algorithm is a line drawing algorithm that determines the points of an n-dimensional raster that should be selected in order to form a
Bresenham's_line_algorithm
Topics referred to by the same term
blueprint or technical drawing Line drawing algorithm, in computer graphics Box-drawing character, also known as a line-drawing character This disambiguation
Line_drawing
Line algorithm with antialiasing
Bresenham's line drawing algorithm, the circle drawing algorithm is a replacement for Bresenham's circle drawing algorithm. Like Bresenham’s line algorithm, this
Xiaolin_Wu's_line_algorithm
Determines the points needed for rasterizing a circle
circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It is a generalization of Bresenham's line algorithm. The
Midpoint_circle_algorithm
Problem of finding obscured edges in a wire-frame 3D model
by straight line segments, called edges. Curved surfaces are usually approximated by a polygon mesh. Computer programs for line drawings of opaque objects
Hidden-line_removal
Curve used in computer graphics and related fields
make a step up. There is also a modified curve form of Bresenham's line drawing algorithm by Zingl that performs this rasterization by subdividing the curve
Bézier_curve
Microsoft Windows API
the output, the handle could be released. GDI uses Bresenham's line drawing algorithm to draw aliased lines. GDI was present in the initial release of
Graphics_Device_Interface
Graph drawing with vertices in horizontal layers
implementation. The "dot" tool in Graphviz produces layered drawings. A layered graph drawing algorithm is also included in Microsoft Automatic Graph Layout
Layered_graph_drawing
theorem on straight-line drawings of planar graphs. Force-based algorithms (also known as force-directed algorithms or spring-based algorithms) Spectral layout
List_of_algorithms
Algorithm for shuffling a finite sequence
element in the shuffled sequence by randomly drawing an element from the list until no elements remain. The algorithm produces an unbiased permutation: every
Fisher–Yates_shuffle
Visualization of node-link graphs
case, a graph drawing represents a graph embedding. However, nonplanar graphs frequently arise in applications, so graph drawing algorithms must generally
Graph_drawing
API used in Microsoft DirectX for 3D rendering
MultisampleEnable only affects line rasterization (points and triangles are unaffected), and is used to choose a line drawing algorithm. This means that some multisample
Direct3D
(computer graphics) Light field Light transport theory Lightmap Line clipping Line drawing algorithm Local coordinates Low-discrepancy sequence Low poly Marching
List of computer graphics and descriptive geometry topics
List_of_computer_graphics_and_descriptive_geometry_topics
Conversion of a vector-graphics image to a raster image
rake'. Bresenham's line algorithm is an example of an algorithm used to rasterize lines. Algorithms such as the midpoint circle algorithm are used to render
Rasterisation
Automated method for solving mazes
maze-solving algorithm is an automated method for solving a maze. The random mouse, wall follower, Pledge, Tarry's, and Trémaux's algorithms are designed
Maze-solving_algorithm
Algorithmic problem of finding non-crossing drawings
In graph theory, the planarity testing problem is the algorithmic problem of testing whether a given graph is a planar graph (that is, whether it can
Planarity_testing
Line-clipping algorithm
Liang–Barsky algorithm (named after You-Dong Liang and Brian A. Barsky) is a line clipping algorithm first published in early 1984. The Liang–Barsky algorithm uses
Liang–Barsky_algorithm
Clustering and community detection algorithm
The Leiden algorithm is a community detection algorithm developed by Traag et al at Leiden University. It was developed as a modification of the Louvain
Leiden_algorithm
Art genre
Algorithmic art or algorithm art is art, mostly visual art, in which the design is generated by an algorithm. Algorithmic artists are sometimes called
Algorithmic_art
3D computer graphics image rendering method
Scanline rendering (also scan line rendering and scan-line rendering) is an algorithm for visible surface determination, in 3D computer graphics, that
Scanline_rendering
Geometry problem on grid points
points in a line, but every proper superset has three in a line. Equivalently, this is the smallest set that could be produced by a greedy algorithm that tries
No-three-in-line_problem
Methodological basis for 3D CAD/CAM solid modeling and image rendering
algorithms using ray casting are to make line drawings, to make shaded pictures, and to compute volumes and other physical properties. Each algorithm
Ray_casting
American computer scientist
graphics. The midpoint circle algorithm shares some similarities to his line algorithm and is known as Bresenham's circle algorithm. Ph.D., Stanford University
Jack_Elton_Bresenham
Optimization algorithm
computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Planar graph with convex polygon faces
their drawings and an efficient algorithm for constructing small convex grid drawings of these graphs are not known in all cases. Convex drawings should
Convex_drawing
Producing images of 3D scenes
doi:10.1364/JOSA.57.001105. Warnock, John E. (20 May 1968). A hidden line algorithm for halftone picture representation (Report). CORE output ID 276286863
Rendering_(computer_graphics)
Ideographic art tradition in parts of Africa
geometric algorithms. Sona drawings can be classified by the algorithms used for their construction. Paulus Gerdes identified six algorithms, most commonly
Lusona
Connected series of line segments
Ramer–Douglas–Peucker algorithm can be used to find a polygonal chain with few segments that serves as an accurate approximation. In graph drawing, polygonal chains
Polygonal_chain
Design technique
intersection of that circle with the horizon line consists of two distance points. They are useful for drawing chessboard floors which, in turn, serve for
3D_projection
Diagram of an object with segments removed to show the interior
be formalized in a simple algorithm, But the properties of cutaway can be distinguish in two classes of cutaways of a drawing": cutout : illustrations
Cutaway_drawing
Method in geometry for representing a polygon by a topological skeleton
straight skeletons to guide vertex placement in a graph drawing algorithm in which the graph drawing is constrained to lie inside a polygonal boundary. The
Straight_skeleton
Method for recursively subdividing a space into two subsets using hyperplanes
final tree. The choice of which polygon or line is used as a partitioning plane (in step 1 of the algorithm) is therefore important in creating an efficient
Binary_space_partitioning
Algorithm in computer graphics to add color or texture
Flood fill, also called seed fill, is a flooding algorithm that determines and alters the area connected to a given node in a multi-dimensional array
Flood_fill
Graph with edges non-crossing and upward
Roberto; Tollis, Ioannis G. (1998), "Flow and Upward Planarity", Graph Drawing: Algorithms for the Visualization of Graphs, Prentice Hall, pp. 171–213, ISBN 978-0-13-301615-4
Upward_planar_drawing
Spring-based algorithm Strongly connected component Vertex cover problem See list of network theory topics Helly family Intersection (Line) Graphs of hypergraphs
List_of_graph_theory_topics
Memphis Line Types in Technical Drawings YouTube video Perspective Drawing of Surfaces with Hidden Line Removal(in Spanish) Perspective Drawing of Surfaces
Hidden_line
Collective behavior of decentralized, self-organized systems
the PSO with global SDS behaviour. The resulting hybrid algorithm is used to sketch novel drawings of an input image, exploiting an artistic tension between
Swarm_intelligence
Graph where coordinates show reachability
some embedding of the graph, has a dominance drawing. The left–right algorithm for finding these drawings sets the x coordinate of every vertex to be its
Dominance_drawing
Representation of a 3D object with only its edges rendered
efficiently draws higher quality representations of solids than conventional line drawing. Using a wire-frame model allows for the visualization of the underlying
Wire-frame_model
Conversion of raster graphics into vector graphics
and drawing over it. I prefer to use pen and ink, and a light table"; most of the final image was traced by hand in ink. Later the line-drawing image
Image_tracing
Australian computer scientist
Tollis) of the book Graph drawing: Algorithms for the visualization of graphs, and of the associated survey "Algorithms for drawing graphs: an annotated bibliography"
Peter_Eades
Graph theory representation
graph drawing, a RAC drawing of a graph is a drawing in which the vertices are represented as points, the edges are represented as straight line segments
RAC_drawing
Graph that can be embedded in the plane
S2CID 40107560. Special Issue on Graph Drawing. Bader, D.A.; Sreshta, S. (October 1, 2003), A New Parallel Algorithm for Planarity Testing (Technical report)
Planar_graph
engineers project a model into a plane (a 2D drawing) in order to denote edges that are visible with a solid line, and those that are hidden with dashed or
Quantitative_Invisibility
Visual depiction of a partially ordered set
diagram used to represent a finite partially ordered set, in the form of a drawing of its transitive reduction. Concretely, for a partially ordered set (
Hasse_diagram
Embedding a graph in a topological space, often Euclidean
number of halfplanes needed for such a drawing. Alternatively, any finite graph can be drawn with straight-line edges in three dimensions without crossings
Graph_embedding
Rendering method
technique for modeling light transport for use in a wide variety of rendering algorithms for generating digital images. On a spectrum of computational cost and
Ray_tracing_(graphics)
Deterministic finite automaton accepting set of all suffixes of particular string
the University of Colorado Boulder. They suggested a linear time online algorithm for its construction and showed that the suffix automaton of a string
Suffix_automaton
News search algorithm
The Hilltop algorithm is an algorithm used to find documents relevant to a particular keyword topic in news search. Created by Krishna Bharat while he
Hilltop_algorithm
Method for visualizing vector fields
E. Gröller. Shen, Han-Wei; Kam, David L. (1998). "A New Line Integral Convolution Algorithm for Visualizing Time-Varying Flow Fields" (PDF). IEEE Trans
Line_integral_convolution
1993 game engine
is drawn first using a Scanline algorithm. This can be found from looking at which side of the node's dividing line the camera is on. When a subsector
Doom_engine
Representation of a graph's triconnected components
in linear time and has several applications in dynamic graph algorithms and graph drawing. The basic structures underlying the SPQR tree, the triconnected
SPQR_tree
Computational statistics technique
also commonly called the acceptance-rejection method or "accept-reject algorithm" and is a type of exact simulation method. The method works for any distribution
Rejection_sampling
Subdivision of the plane by lines
efficiently by an incremental algorithm that adds one line at a time to the arrangement of the previously added lines. Each new line can be added in time proportional
Arrangement_of_lines
Explicit material produced by generative AI
actors and cameras, this content is synthesized entirely by AI algorithms. These algorithms, including generative adversarial networks (GANs) and text-to-image
Generative_AI_pornography
Method of drawing geometric objects
of a segment. Drawing a perpendicular line from a point to a line. Bisecting an angle Mirroring a point in a line Constructing a line through a point
Straightedge and compass construction
Straightedge_and_compass_construction
Form of lossless data compression
contains many such runs, for example, simple graphic images such as icons, line drawings, games, and animations. For files that do not have many runs, encoding
Run-length_encoding
for drawing contours is a simplicial continuation algorithm, and since it is easy to visualize, it serves as a good introduction to the algorithm. The
Piecewise_linear_continuation
root. Therefore, root-finding algorithms consists of finding numerical solutions in most cases. Root-finding algorithms can be broadly categorized according
Polynomial_root-finding
Trail in a graph that visits each edge once
component of the underlying undirected graph. Fleury's algorithm is an elegant but inefficient algorithm that dates to 1883. Consider a graph known to have
Eulerian_path
metaheuristics and swarm intelligence algorithms, sorted by decade of proposal. Simulated annealing is a probabilistic algorithm inspired by annealing, a heat
List of metaphor-based metaheuristics
List_of_metaphor-based_metaheuristics
Graph orientation with one source and sink
"Applications of parameterized st-orientations in graph drawing algorithms", Graph Drawing: 13th International Symposium, GD 2005, Limerick, Ireland
Bipolar_orientation
Assignment of colors to edges of a graph
Complexity of Bendless Three-Dimensional Orthogonal Graph Drawing", Journal of Graph Algorithms and Applications, 17 (1): 35–55, arXiv:0709.4087, doi:10
Edge_coloring
Directed graph with no directed cycles
sorting algorithm, this validity check can be interleaved with the topological sorting algorithm itself; see e.g. Skiena, Steven S. (2009), The Algorithm Design
Directed_acyclic_graph
Chemical species structure notation
that described the CANGEN algorithm claimed to generate unique SMILES strings for graphs representing molecules, but the algorithm fails for a number of simple
Simplified Molecular Input Line Entry System
Simplified_Molecular_Input_Line_Entry_System
Area of discrete mathematics
Giuseppe; Eades, Peter; Tamassia, Roberto; Tollis, Ioannis G. (1994). "Algorithms for Drawing Graphs: an Annotated Bibliography". Computational Geometry: Theory
Graph_theory
Fewest edge crossings in drawing of a graph
on the number of edge crossings in a drawing which is obtained by a divide and conquer approximation algorithm for computing cr ( G ) {\displaystyle
Crossing number (graph theory)
Crossing_number_(graph_theory)
Tree graph with all nodes within distance 1 from central path
line. They are the trees whose line graphs contain a Hamiltonian path; such a path may be obtained by the ordering of the edges in a two-line drawing
Caterpillar_tree
Rewriting system and type of formal grammar
L-systems, PMIT-S0L was developed, which uses a hybrid greedy and genetic algorithm approach to infer systems from multiple string sequences. The tool demonstrated
L-system
Statistical Markov model
maximum likelihood estimation. For linear chain HMMs, the Baum–Welch algorithm can be used to estimate parameters. Hidden Markov models are known for
Hidden_Markov_model
Edges that hit all cycles in a graph
In graph theory and graph algorithms, a feedback arc set or feedback edge set in a directed graph is a subset of the edges of the graph that contains at
Feedback_arc_set
American musician (born 2003)
Wholesome Rockstar in High Definition: Malcolm Todd is More Than Just an Algorithm's Dream". Martin Cid. Retrieved July 27, 2025. Peaks on the Billboard 200:
Malcolm_Todd
Chances of card combinations in poker
The Total line also needs adjusting. Games portal Binomial coefficient Combination Combinatorial game theory Effective hand strength algorithm Event (probability
Poker_probability
Unobstructed line between an observer and a subject of interest in a building
plan and cross sectional drawings to analyze view of audiences to resolve to address errors of the "sight area rate" algorithm which does not account for
Sightline_(architecture)
In mathematics, straight line touching a plane curve without crossing it
simpler motions. René-François de Sluse and Johannes Hudde found algebraic algorithms for finding tangents. Further developments included those of John Wallis
Tangent
Python library for graphs and networks
NetworkX provides various layout algorithms for visualizing graphs in two-dimensional space. These layout algorithms determine the positions of nodes
NetworkX
Probabilistic primality test
or Rabin–Miller primality test is a probabilistic primality test: an algorithm which determines whether a given number is likely to be prime, similar
Miller–Rabin_primality_test
German computer scientist
Workshop on Algorithm Engineering and Experiments (ALENEX'2008), 14th International Symposium on Graph Drawing (GD'2006), 2nd Workshop on Algorithmic Methods
Dorothea_Wagner
South Indian form of drawing on the ground using rice flour
Asian countries.[citation needed] A kolam or muggu is a geometrical line drawing composed of straight lines, curves and loops, drawn around a grid pattern
Kolam
Representation of a graph as a path graph "thickened" by some amount
same algorithmic approach can also be used to model folding problems in programmable logic arrays. Pathwidth has several applications to graph drawing: The
Pathwidth
Graph with at most one crossing per edge
have straight 1-planar drawings (that is, drawings in which each edge is represented by a line segment, and in which each line segment is crossed by at
1-planar_graph
Algorithm
sampling is a type of Markov chain Monte Carlo algorithm for pseudo-random number sampling, i.e. for drawing random samples from a statistical distribution
Slice_sampling
Map distorting size to show another value
first algorithms in 1963, based on a strategy of warping space itself rather than the distinct districts. Since then, a wide variety of algorithms have
Cartogram
Parlour game
precursor to computer-generated literature, such as the Strachey love letter algorithm. Mad Libs "The Happy History of Mad Libs". Archived from the original
Consequences_(game)
Size of bounding box of graph drawing
Adrian (2004), "Straight-line drawings of binary trees with linear area and arbitrary aspect ratio", Journal of Graph Algorithms and Applications, 8 (2):
Area_(graph_drawing)
Loudspeaker enclosure design
number of approximation algorithms exist. One such is to design a closed-box loudspeaker enclosure, then building a transmission line of the same volume tuned
Transmission_line_loudspeaker
Hungarian artist (1924–2023)
images and in 1968 she began using a computer to create her first algorithmic drawings. In 1976, her first solo exhibition in the gallery of the London
Vera_Molnár
Topics referred to by the same term
refer to: Division (mathematics), the inverse of multiplication Division algorithm, a method for computing the result of mathematical division Division (military)
Division
American business executive (born 1973)
VP9 WebM WebP WOFF2 Programming languages Carbon Dart Go Sawzall Search algorithms Googlebot Hummingbird Mobilegeddon PageRank matrix Panda Penguin Pigeon
Neal_Mohan
World's first auction of computer algorithms
containing the six-line qrpff algorithm capable of decrypting content on a commercially produced DVD video disc, and a pair of drawings representing OkCupid's
The_Algorithm_Auction
Geometrical GCD and LCM algorithm
billiards. Arithmetic billiards can be used to show how two numbers interact. Drawing squares within the rectangle of length and width of the two natural numbers
Arithmetic_billiards
Cluster update algorithm
The KBD algorithm is a cluster update algorithm designed for the fully frustrated Ising model in two dimensions, or more generally any two dimensional
KBD_algorithm
English pornographic film actress (born 1999)
men in 12 hours: On OnlyFans, absurd challenges reflect the pressure of algorithms". Le Monde. Archived from the original on 26 February 2025. Ghazali, Rahmah
Bonnie_Blue
Cloud-based diagram making software
Google Drawings is a diagram making tool included as part of Google Workspace. Google Drawings is available as a web application and as a desktop application
Google_Drawings
Bijection between the vertex set of two graphs
graph isomorphism is the vf2 algorithm, developed by Cordella et al. in 2001. The vf2 algorithm is a depth-first search algorithm that tries to build an isomorphism
Graph_isomorphism
a complex algorithm, with more than just one parameter. Another class of direct search algorithms are the various evolutionary algorithms, e.g. genetic
Automatic_label_placement
Method of finding chemicals in a database
(1976). "An Algorithm for Subgraph Isomorphism". Journal of the ACM. 23: 31–42. doi:10.1145/321921.321925. McMurry, John (2023). "1.12 Drawing Chemical Structures"
Substructure_search
Method in machine learning
learning (ML) ensemble meta-algorithm designed to improve the stability and accuracy of ML classification and regression algorithms. It also reduces variance
Bootstrap_aggregating
File format for images
of records consisting of drawing commands, property definitions and graphics objects to display an image on screen. The drawing commands used are closely
Windows_Metafile
LINE DRAWING-ALGORITHM
LINE DRAWING-ALGORITHM
Female
English
Short form of French Éliane, LIANE means "sun."Â
Surname or Lastname
English
English : variant spelling of Drain.
Surname or Lastname
English
English : from the medieval female personal name Line, a reduced form of Cateline (see Catlin) and of various other names, such as Emmeline and Adeline, containing the Anglo-Norman French diminutive suffix -line (originally a double diminutive, composed of the elements -el and -in).French (Liné) : metonymic occupational name for a linen weaver or a linen merchant, from an Old French adjective liné ‘made of linen’.
Surname or Lastname
English
English : metronymic from Line.
Female
Welsh
 Welsh name LINN means "lake" or "waterfall." Compare with other forms of Linn.
Female
French
 Contracted form of French Adeline, ALINE means "little noble." Compare with another form of Aline.
Female
English
 English short form of Latin Linnaea, LINN means "twin flower." Compare with other forms of Linn.
Male
Italian
Italian and Spanish form of Latin Linus, LINO means either "a cry of grief"Â or "flax, linen."
Female
Vietnamese
Vietnamese name LIEN means "lotus flower."
Female
English
 Variant spelling of English Aileen, ALINE means "little Eve." Compare with another form of Aline.
Female
Swedish
 Short form of Swedish Linnéa, LINN means "twin flower." Compare with other forms of Linn.
Female
Norwegian
Danish and Norwegian form of German Liese, LISE means "God is my oath."Â Compare with masculine Lise.
Female
Yiddish
 Yiddish name derived from the word bin(e), BINE means "bee." Compare with other forms of Bine.
Surname or Lastname
English
English : metonymic occupational name for a dresser of flax, from Middle English lynet, lynt ‘flax’.Dutch : from a short form of a Germanic name formed with lind (see Linde 1).Dutch : metonymic occupational name for a linen weaver or merchant.
Surname or Lastname
English
English : variant of Lind 2 and Line 1.Irish : variant of Lane 2.Scottish : habitational name from places so named in Ayrshire, Peebles-shire, and Wigtownshire.
Male
Native American
Native American Miwok name LISE means "salmon head rising above water." Compare with feminine Lise.
Female
French
French feminine form of Roman Cælinus, CÉLINE means "heaven."
Female
German
 Short form of German Helene, possibly LENE means "torch." Compare with another form of Lene.
Girl/Female
English
Path; roadway.Lane and Laine.
Female
Vietnamese
Vietnamese name LINH means "spring."
LINE DRAWING-ALGORITHM
LINE DRAWING-ALGORITHM
Boy/Male
Indian, Punjabi, Sikh
Pure Lamp
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Bright; Wisely; Smart; Shape
Boy/Male
Muslim
Wish, Hope, Love
Girl/Female
Tamil
Rupashri | ரூபஷà¯à®°à¯€, ரூபஷà¯à®°à¯€, ரூபஷà¯à®°à¯€Â
Beautiful
Boy/Male
Gaelic
Manly.
Girl/Female
Hindu, Indian
Goddess Saraswati
Boy/Male
Indian, Punjabi, Sikh
Exalted Kingdom
Girl/Female
Muslim
Hopeful
Girl/Female
English American French Latin
Lord.
Girl/Female
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Woman
LINE DRAWING-ALGORITHM
LINE DRAWING-ALGORITHM
LINE DRAWING-ALGORITHM
LINE DRAWING-ALGORITHM
LINE DRAWING-ALGORITHM
n.
A linen thread or string; a slender, strong cord; also, a cord of any thickness; a rope; a hawser; as, a fishing line; a line for snaring birds; a clothesline; a towline.
n.
Anything doubled and closed like a link; as, a link of horsehair.
n.
Direction; as, the line of sight or vision.
n.
The equator; -- usually called the line, or equinoctial line; as, to cross the line.
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
v. t.
To cover the inner surface of; as, to line a cloak with silk or fur; to line a box with paper or tin.
n.
A series or succession of ancestors or descendants of a given person; a family or race; as, the ascending or descending line; the line of descent; the male line; a line of kings.
superl.
Made of fine materials; light; delicate; as, fine linen or silk.
n.
The course followed by anything in motion; hence, a road or route; as, the arrow descended in a curved line; the place is remote from lines of travel.
n.
A connected series of public conveyances, and hence, an established arrangement for forwarding merchandise, etc.; as, a line of stages; an express line.
n.
Flax; linen.
n.
A measuring line or cord.
n.
One who lines, as, a liner of shoes.
v. t.
To read or repeat line by line; as, to line out a hymn.
n.
A straight row; a continued series or rank; as, a line of houses, or of soldiers; a line of barriers.
n.
A pasture; growing grass.
a.
To change by fine gradations; as (Naut.), to fine down a ship's lines, to diminish her lines gradually.
n.
A system of close equidistant and parallel lines lines or bars, especially lines ruled on a polished surface, used for producing spectra by diffraction; -- called also diffraction grating.
v. t.
To form into a line; to align; as, to line troops.