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Derived representation of a digital image
A distance transform, also known as distance map or distance field, is a derived representation of a digital image. The choice of the term depends on the
Distance_transform
of transforms in mathematics. Abel transform Aboodh transform Bateman transform Fourier transform Fourier cosine transform Fourier sine transform Fractional
List_of_transforms
Integral transform used in various branches of mathematics
Abel transform is the integrated absorbance along a ray with closest distance y from the center of the flame, while the inverse Abel transform gives
Abel_transform
Mathematical transform that expresses a function of time as a function of frequency
In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent
Fourier_transform
Image comprising exactly two colors, typically black and white
binary image is the distance transform. This gives the distance of every set pixel from the nearest unset pixel. The distance transform can be efficiently
Binary_image
Method of detecting shapes within images
The Hough transform (/hʌf/) is a feature extraction technique used in image analysis, computer vision, pattern recognition, and digital image processing
Hough_transform
Class of algorithms used for computing distance-related functions
flooding algorithm used in the construction of Voronoi diagrams and distance transforms. The JFA was introduced by Rong Guodong at an ACM symposium in 2006
Jump_flooding_algorithm
In image processing, the grassfire transform is the computation of the distance from a pixel to the border of a region. It can be described as "setting
Grassfire_transform
Integral transform in mathematics
In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional)
Radon_transform
Integral transform useful in probability theory, physics, and engineering
In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable
Laplace_transform
Type of plane partition
(2006). "Jump flooding in GPU with applications to Voronoi diagram and distance transform" (PDF). In Olano, Marc; Séquin, Carlo H. (eds.). Proceedings of the
Voronoi_diagram
Computer science metric for string similarity
science, the Levenshtein distance is a string metric for measuring the difference between two sequences. The Levenshtein distance between two words is the
Levenshtein_distance
Plate boundary where the motion is predominantly horizontal
A transform fault or transform boundary, is a fault along a plate boundary where the motion is predominantly horizontal. It ends abruptly where it connects
Transform_fault
Involutive change of basis in linear algebra
Hadamard transform (also known as the Walsh–Hadamard transform, Hadamard–Rademacher–Walsh transform, Walsh transform, or Walsh–Fourier transform) is an
Hadamard_transform
Integral transform and linear operator
In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces
Hilbert_transform
One-dimensional approximation to a shape
"locally maximum" in the distance transform. This is simply not the case, as even cursory comparison of a distance transform and the resulting skeleton
Topological_skeleton
Integral transform
geometry, the Funk transform (also known as Minkowski–Funk transform, Funk–Radon transform or spherical Radon transform) is an integral transform defined by integrating
Funk_transform
scan Kirkpatrick–Seidel algorithm Quickhull Euclidean distance transform: computes the distance between every point in a grid and a discrete collection
List_of_algorithms
Mathematical operation
In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind
Hankel_transform
Statistical distance measure
uncorrelated, then the Mahalanobis distance corresponds to standard Euclidean distance in the transformed space. The Mahalanobis distance is thus unitless, scale-invariant
Mahalanobis_distance
Deals with digitized models or images of objects of the 2D or 3D Euclidean space
not change, or (ii) medial axis, by calculating local maxima in a distance transform of the given digitized object representation, or (B) into modified
Digital_geometry
Computer science metric of string similarity
counting the minimum number of operations required to transform one string into the other. Edit distances find applications in natural language processing
Edit_distance
Function in discrete mathematics
In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another
Discrete_Fourier_transform
Probability theory operation
In probability theory, the probability integral transform (also known as universality of the uniform) relates to the result that data values that are
Probability integral transform
Probability_integral_transform
Image processing method
operation are applied to the binary image to close gaps. Then, the distance transform operation is applied to the binary image to clear the pixels far from
Edge_detection
Programming algorithm
operations. Otherwise, the distance is the minimum of the three possible ways to do the transformation: If we can transform s[1..i] to t[1..j-1] in k operations
Wagner–Fischer_algorithm
Topics referred to by the same term
based on EDT (Digital) Sequential Euclidean distance transform, a distance transform using Euclidean distance, computed sequentially Single-ended double
SEDT
Type of image
close the small gaps. To clear the blob-like shapes, it utilizes the distance transform. After all, the connected pixel groups are individual edges (or contours)
Saliency_map
Flip distance in triangulations
computer science, the flip distance between two triangulations of the same point set is the number of flips required to transform one triangulation into another
Flip_distance
Family of functions to transform data
In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation
Power_transform
Number of bits that differ between two strings
number of errors that could have transformed one string into the other. In a more general context, the Hamming distance is one of several string metrics
Hamming_distance
Example of census transform The census transform (CT) is an image operator that associates to each pixel of a grayscale image a binary string, encoding
Census_transform
Software
Ground robots and includes: standard path planning algorithms (bug, distance transform, D*, and PRM), lattice planning, kinodynamic planning (RRT), localization
Robotics_Toolbox_for_MATLAB
Integral transform
z\\0&1\end{bmatrix}},} where z is distance, and λ is wavelength. The Laplace transform corresponds to rotation by 90° into the complex domain
Linear canonical transformation
Linear_canonical_transformation
Statistical transformation
as |ρ| is not too large and N is not too small. The behavior of this transform has been extensively studied since Fisher introduced it in 1915. Fisher
Fisher_transformation
Swedish computer programmer
McGraw-Hill. p. 145. ISBN 9780078820625. Ingemar Ragnemalm, "The Euclidean Distance Transform", Dissertation No 304, Linköping University, 1993 Home page of Ingemar
Ingemar_Ragnemalm
Branch of computer science
scan Kirkpatrick–Seidel algorithm Quickhull Euclidean distance transform: computes the distance between every point in a grid and a discrete collection
Computational_geometry
Swedish image processing researcher
Swedish computer scientist specializing in image processing, including distance transforms, topological skeletonization, and edge detection. She is a professor
Gunilla_Borgefors
Feature detection algorithm in computer vision
The scale-invariant feature transform (SIFT) is a computer vision algorithm to detect, describe, and match local features in images, invented by David
Scale-invariant feature transform
Scale-invariant_feature_transform
resulting quadrilateral. The flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into another.
Rotation_distance
The Mojette transform is an application of discrete geometry. More specifically, it is a discrete and exact version of the Radon transform, thus a projection
Mojette_transform
methods such as Fourier transform and DCT, the spectral distance is the measure to compare the transformed signals. LSD incorporates the logarithmic characteristics
Log-spectral_distance
Formula for the great-circle distance between two points on a sphere
considerations do not apply to transforming the latitudes - adding a constant to the latitudes may change the distance between the points. By choosing
Haversine_formula
Real function on a Euclidean space whose value depends only on distance from the origin
each point depends only on the distance between that point and the origin. The distance is usually the Euclidean distance. For example, a radial function
Radial_function
focus recovery are based on depth estimation theory. The Linear canonical transform (LCT) gives a scalable kernel to fit many well-known optical effects.
Focus recovery based on the linear canonical transform
Focus_recovery_based_on_the_linear_canonical_transform
Information distance is the distance between two finite objects (represented as computer files) expressed as the number of bits in the shortest program
Information_distance
Square matrix containing the distances between elements in a set
science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements
Distance_matrix
interface – Direct manipulation interface – Disk storage – Distance transform – Distance map – Distance field – Docblock – DVD – DVI (TeX) – Dvorak keyboard
Index_of_computing_articles
Distance between two statistical objects
probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two random variables
Statistical_distance
Star at the centre of the Solar System
at a distance of 24,000 to 28,000 light-years. Its mean distance from Earth is about 1.496×108 kilometres or about 8 light-minutes. The distance between
Sun
Geometric transformation that preserves lines but not angles nor the origin
transformation that preserves lines and parallelism, but not necessarily Euclidean distances and angles. More generally, an affine transformation is an automorphism
Affine_transformation
Concept in physics
Action at a distance is the concept in physics that an object's motion can be affected by another object without the two being in physical contact; that
Action_at_a_distance
Tensor that rotates the reference frame to simplify analysis
reference frame to eliminate the effect of time-varying inductances and transforms the system into a linear time-invariant system The Park transformation
Direct-quadrature-zero transformation
Direct-quadrature-zero_transformation
Reducing photographic perspective distortion
vertical distance), constructed perspective considers only the horizontal distance and considers the top and bottom to be the same distance away; make
Perspective_control
Metric that measures the distance between two strings of text
deletions needed in order to transform one input string into another. Simplistic string metrics such as Levenshtein distance have expanded to include phonetic
String_metric
Measure of similarity
definition for the similarity between two objects is how difficult it is to transform them into each other. It can be used in information retrieval and data
Normalized compression distance
Normalized_compression_distance
Method of data analysis
analysis, visualization and data preprocessing. The data are linearly transformed onto a new coordinate system such that the directions (principal components)
Principal_component_analysis
Function for integral Fourier-like transform
wavelet transform (SWT) Fractional Fourier transform (FRFT) Fractional wavelet transform (FRWT) There are a number of generalized transforms of which
Wavelet
Modification using the principle of template matching
The generalized Hough transform (GHT), introduced by Dana H. Ballard in 1981, is the modification of the Hough transform using the principle of template
Generalised_Hough_transform
Type of learning powerful enough to revise worldview and self-perception
Transformative learning, as a theory, says that the process of "perspective transformation" has three dimensions: psychological (changes in understanding
Transformative_learning
Motion video technology
to the average viewer at the specified viewing distance, edge effects introduced by block-based transform processing still affect the performance advantage
ZPEG
Length in solid geometry
terms of the transformed variables. Now the problem has become one of finding the nearest point on this plane to the origin, and its distance from the origin
Distance from a point to a plane
Distance_from_a_point_to_a_plane
Style of human–computer interaction
Interfaces For The Visually Impaired Using Force Feedback Devices And Distance Transforms, Information Technology and Disabilities Journal, Vol. X, No. 2,
WIMP_(computing)
Mathematical transformation
In mathematics, the Legendre transformation (or Legendre transform), first introduced by Adrien-Marie Legendre in 1787 when studying the minimal surface
Legendre_transformation
Classification algorithm
whitening: the decorrelation transform removes only the correlations but leaves variances intact, the standardization transform sets variances to 1 but leaves
Whitening_transformation
beamformer. Steered-response power with phase transform (SRP-PHAT) is a variant using a "phase transform" to make it more robust in adverse acoustic environments
Steered-response_power
Epicentral distance refers to the ground distance from the epicenter to a specified point. Generally, the smaller the epicentral distance of an earthquake
Epicentral_distance
Family of linear transformations
is referred to as raising an index. To transform a covariant vector Aμ, first raise its index, then transform it according to the same rule as for contravariant
Lorentz_transformation
Island country within the Netherlands
Territory of Curaçao. The discovery of oil in the Maracaibo Basin in 1914 transformed Curaçao into a major refinery location, altering its economic landscape
Curaçao
Measure of variation in statistics
mean and identity covariance. This is called the Mahalanobis whitening transform. The mean and the standard deviation of a set of data are descriptive
Standard_deviation
On distance sets of high-dimensional sets
(1987), "Spherical averages of Fourier transforms of measures with finite energy; dimension of intersections and distance sets", Mathematika, 34 (2): 207–228
Falconer's_conjecture
Measure of linear correlation
location and scale in the two variables. That is, we may transform X to a + bX and transform Y to c + dY, where a, b, c, and d are constants with b, d
Pearson correlation coefficient
Pearson_correlation_coefficient
Characterization of distortion in map projections
is to relate how distances on the sphere change when mapped to a planar surface. Specifically, the desired relation is the transform T {\displaystyle
Tissot's_indicatrix
Probabilistic problem-solving algorithm
phenomenon in question. Pseudo-random number sampling algorithms are used to transform uniformly distributed pseudo-random numbers into numbers that are distributed
Monte_Carlo_method
Measure of similarity between two graphs
Exact algorithms for computing the graph edit distance between a pair of graphs typically transform the problem into one of finding the minimum cost
Graph_edit_distance
Distance function defined between probability distributions
In mathematics, the Wasserstein distance or Kantorovich–Rubinstein metric is a distance function defined between probability distributions on a given
Wasserstein_metric
American computer scientist
Felzenszwalb, Pedro F.; Huttenlocher, Daniel P. (September 2012). "Distance Transforms of Sampled Functions". Theory of Computing. 8 (19): 415–428. doi:10
Pedro_Felipe_Felzenszwalb
Third planet from the Sun
together; at divergent boundaries, two plates are pulled apart; and at transform boundaries, two plates slide past one another laterally. Along these plate
Earth
Most populous city in the United States
applied sciences called Cornell Tech on Roosevelt Island intending to transform New York City into the world's premier technology capital. New York City
New_York_City
In a Fourier transformation (FT), the Fourier transformed function f ^ ( s ) {\displaystyle {\hat {f}}(s)} is obtained from f ( t ) {\displaystyle f(t)}
Indirect Fourier transformation
Indirect_Fourier_transformation
Fundamental theorem in probability theory and statistics
statement can be made about Fourier transforms, since the characteristic function is essentially a Fourier transform. Let Sn be the sum of n random variables
Central_limit_theorem
Distance education university in Alberta, Canada
is a Canadian public university that primarily operates through online distance education. Founded in 1970, it is one of four comprehensive academic and
Athabasca_University
American political activist (1993–2025)
Kirk, titled Stop, in the Name of God: Why Honoring the Sabbath Will Transform Your Life, was released by Winning Team Publishing on December 9, 2025
Charlie_Kirk
Mathematical transformation that preserves distances
(A reflection would not preserve handedness; for instance, it would transform a left hand into a right hand.) To avoid ambiguity, a transformation that
Rigid_transformation
Ka-Zar, he walks into the mystic mist surrounding the Savage Land, which transform him into a superhuman with increased intelligence, and he renames himself
List of Marvel Comics characters: M
List_of_Marvel_Comics_characters:_M
Unit of information
they represent data. An analog computer represents a datum as a voltage, distance, position, or other physical quantity. A digital computer represents a
Data
Relation between sides of a right triangle
coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared distance between two points equals the sum of squares
Pythagorean_theorem
Measure of similarity and diversity between sets
Jaccard distance is commonly used to calculate an n × n matrix for clustering and multidimensional scaling of n sample sets. These distance measures
Jaccard_index
Local pressure deviation caused by a sound wave
{p}}(s)} is the Laplace transform of sound pressure,[citation needed] Q ^ ( s ) {\displaystyle {\hat {Q}}(s)} is the Laplace transform of sound volume flow
Sound_pressure
2026 video game
ability to burrow underground for a short time as a way to traverse short distances quickly and cross gaps, while being invincible. Currency called "Bones"
Mina_the_Hollower
Cognitive processes needed to analyze spatial structure and relations
refers to the "ability to perceive, analyze, synthesize, manipulate and transform visual patterns and images". Visuospatial working memory (VSWM) is involved
Visuospatial_function
Mathematical function, inverse of an exponential function
as illustrated here: For example, adding the distance from 1 to 2 on the lower scale to the distance from 1 to 3 on the upper scale yields a product
Logarithm
Ways in which length, distance or range can be measured
Length measurement, distance measurement, or range measurement (ranging) all refer to the many ways in which length, distance, or range can be measured
Length_measurement
2020–21 South Korean television series
against because of being perceived as ugly, masters the art of makeup to transform herself into a gorgeous "goddess". It aired on tvN from December 9, 2020
True Beauty (South Korean TV series)
True_Beauty_(South_Korean_TV_series)
Island country in the Pacific Ocean
During the 1980s, New Zealand underwent major economic changes that transformed it from a protectionist to a liberalised free-trade economy. The service
New_Zealand
Movement of Earth's lithosphere
determines the type of plate boundary (or fault): convergent, divergent, or transform. The relative movement of the plates typically ranges from zero to 10
Plate_tectonics
Points with more than one closest boundary point
the maximally inscribed discs is called the medial axis transform (MAT). The medial axis transform is a complete shape descriptor (see also shape analysis)
Medial_axis
Mathematical model combining space and time
geometry of the universe (its description in terms of locations, shapes, distances, and directions) was distinct from time (the measurement of when events
Spacetime
Filter in electronics and signal processing
Gaussian function; this transformation is also known as the Weierstrass transform. The one-dimensional Gaussian filter has an impulse response given by
Gaussian_filter
Mathematical space with a notion of distance
Graph edit distance is a measure of dissimilarity between two graphs, defined as the minimal number of graph edit operations required to transform one graph
Metric_space
DISTANCE TRANSFORM
DISTANCE TRANSFORM
Girl/Female
Indian
Some distance
Girl/Female
Muslim/Islamic
Some distance
Girl/Female
Muslim
Some distance
Girl/Female
Indian
Some distance
Girl/Female
Muslim
Some distance
Girl/Female
English French
Certain fortune; fate. The mythological Greek god of fate.
Girl/Female
Arabic, Muslim, Sindhi
Some Distance
Girl/Female
Arabic, Muslim
Distinct
Girl/Female
Muslim/Islamic
Some distance
Female
French
French form of Latin Constantia, CUSTANCE means "steadfast."Â
Boy/Male
Indian, Modern
Full of Light
Girl/Female
Muslim
Some distance
Girl/Female
Muslim
Distinct
Girl/Female
Muslim
Some distance
Girl/Female
Arabic, Muslim, Sindhi
Some Distance
Boy/Male
Indian
Distance
Boy/Male
Arabic
Distance
Boy/Male
Hindu
Existance
Girl/Female
American, British, English, French, Greek
Fate; Certain Fortune; The Mythological Greek God of Fate
Boy/Male
Tamil
Astitya | அஸà¯à®¤à®¿à®¤à¯à®¯
Existance
DISTANCE TRANSFORM
DISTANCE TRANSFORM
Girl/Female
Indian
Parvati, Lord Shivas wife
Girl/Female
Muslim
She was a companion
Girl/Female
Muslim
Appearance, Manifestation, Flowers
Boy/Male
Tamil
Shankamalee | ஷஂகாமாஂலீÂ
Boy/Male
Tamil
Chandratha | சஂதà¯à®°à®¤à®¾
Nectar of the Moon
Surname or Lastname
English and North German
English and North German : from a personal name or nickname meaning ‘stag’, Middle English hert, Middle Low German hërte, harte.German : variant spelling of Hardt 1 and 2.Jewish (Ashkenazic) : ornamental name or a nickname from German and Yiddish hart ‘hard’.Irish : Anglicized form of Gaelic Ó hAirt ‘descendant of Art’, a byname meaning ‘bear’, ‘hero’. The English name became established in Ireland in the 17th century.French : from an Old French word meaning ‘rope’, hence possibly a metonymic occupational name for a rope maker or a hangman.Dutch : nickname from Middle Dutch hart, hert ‘hard’, ‘strong’, ‘ruthless’, ‘unruly’.This name was brought independently to New England by many bearers from the 17th century onward. Stephen Hart was one of the founders of Hartford, CT, (coming from Cambridge, MA, with Thomas Hooker) in 1635.
Girl/Female
German
Glorious battle maiden.
Boy/Male
Indian, Sanskrit
God of Gold
Girl/Female
Muslim
Henna. Myrtle.
Girl/Female
Gujarati, Indian, Marathi
Witnesses
DISTANCE TRANSFORM
DISTANCE TRANSFORM
DISTANCE TRANSFORM
DISTANCE TRANSFORM
DISTANCE TRANSFORM
a.
Reserved or repelling in manners; cold; not cordial; somewhat haughty; as, a distant manner.
a.
Separated; having an intervening space; at a distance; away.
v. t.
To outstrip by as much as a distance (see Distance, n., 3); to leave far behind; to surpass greatly.
n.
The interval between two notes; as, the distance of a fourth or seventh.
a.
Far separated; far off; not near; remote; -- in place, time, consanguinity, or connection; as, distant times; distant relatives.
a.
Indistinct; faint; obscure, as from distance.
n.
A withholding of intimacy; alienation; coldness; disagreement; variance; restraint; reserve.
v. t.
To cause to appear as if at a distance; to make seem remote.
v. t.
To place at a distance or remotely.
a.
So separated as not to be confounded with any other thing; not liable to be misunderstood; not confused; well-defined; clear; as, we have a distinct or indistinct view of a prospect.
n.
Removal to a distance; withdrawal; a being at a distance; distance.
n.
Remoteness in succession or relation; as, the distance between a descendant and his ancestor.
imp. & p. p.
of Distance
n.
Distance.
n.
Length or interval of time; period, past or future, between two eras or events.
v. t.
To mention as a case or example; to refer to; to cite; as, to instance a fact.
n.
The remoteness or reserve which respect requires; hence, respect; ceremoniousness.
n.
An instrument for measuring the distance of distinct vision, mainly for the selection of eveglasses.
a.
Distance.
a.
Not conformable; discrepant; repugnant; as, a practice so widely distant from Christianity.