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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
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
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
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
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
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
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
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
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
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
interface – Direct manipulation interface – Disk storage – Distance transform – Distance map – Distance field – Docblock – DVD – DVI (TeX) – Dvorak keyboard
Index_of_computing_articles
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
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
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
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
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
Probability theory operation
{\displaystyle Z=\exp(-X)} also has a uniform distribution. Inverse transform sampling Cramér distance Dodge, Y. (2006) The Oxford Dictionary of Statistical Terms
Probability integral transform
Probability_integral_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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
resulting quadrilateral. The flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into another.
Rotation_distance
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
How many standard deviations apart from the mean an observed datum is
standard deviation of the population. The absolute value of z represents the distance between that raw score x and the population mean in units of the standard
Standard_score
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
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
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
American actress (born 1997)
outdoorsy, athletic person, so to play a character that [required me] to transform myself was a dream". Critic Owen Gleiberman wrote that Sweeney gave a
Sydney_Sweeney
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
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
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 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
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
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
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
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
Network that allows computers to share resources and communicate with each other
Complex Number Calculator to demonstrate the use of computers at long distance. This was the first real-time, remote use of a computing machine. In the
Computer_network
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
Phase stretch transform (PST) is a computational approach to signal and image processing. One of its utilities is for feature detection and classification
Phase_stretch_transform
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
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
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
Data visualization
observed data point from the dataset that falls within this distance. Similarly, a distance of 1.5 times the IQR is measured out below the lower quartile
Box_plot
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
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
Vehicle used to film a tornado
(TIV 2) are vehicles used to film with an IMAX camera from very close distance or within a tornado. They were designed by film director Sean Casey. Both
Tornado_Intercept_Vehicle
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
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
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
Near-field diffraction
others when the process leads to a known Fourier transform, and the connection with the Fourier transform is tightened in the linear canonical transformation
Fresnel_diffraction
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
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
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
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
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
Chief executive officer
In 2016 he followed up that book with Spartan Fit!: 30 Days. Transform Your Mind. Transform Your Body. Commit to Grit. No Gym Required., and in 2018 he
Joe_De_Sena
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
Mathematical result
can be embedded into a space of much lower dimension in such a way that distances between the points are nearly preserved. In the classical proof of the
Johnson–Lindenstrauss_lemma
Middle quantile of a data set or probability distribution
well-defined for any ordered (one-dimensional) data and is independent of any distance metric. The median can thus be applied to student grades that are ranked
Median
produce the exact Fourier transform at a distance f {\displaystyle f} behind the lens of an object placed f {\displaystyle f} distance in front of the lens
Optical_correlator
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)
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
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
DISTANCE TRANSFORM
DISTANCE TRANSFORM
Girl/Female
Arabic, Muslim, Sindhi
Some Distance
Boy/Male
Indian
Distance
Girl/Female
Muslim
Some distance
Boy/Male
Tamil
Astitya | அஸà¯à®¤à®¿à®¤à¯à®¯
Existance
Astitya | அஸà¯à®¤à®¿à®¤à¯à®¯
Girl/Female
Arabic, Muslim, Sindhi
Some Distance
Girl/Female
Muslim
Distinct
Boy/Male
Hindu
Existance
Girl/Female
American, British, English, French, Greek
Fate; Certain Fortune; The Mythological Greek God of Fate
Boy/Male
Arabic
Distance
Girl/Female
Muslim
Some distance
Girl/Female
Muslim/Islamic
Some distance
Girl/Female
Muslim/Islamic
Some distance
Girl/Female
Arabic, Muslim
Distinct
Girl/Female
Indian
Some distance
Girl/Female
Indian
Some distance
Female
French
French form of Latin Constantia, CUSTANCE means "steadfast."Â
Boy/Male
Indian, Modern
Full of Light
Girl/Female
English French
Certain fortune; fate. The mythological Greek god of fate.
Girl/Female
Muslim
Some distance
Girl/Female
Muslim
Some distance
DISTANCE TRANSFORM
DISTANCE TRANSFORM
Boy/Male
Australian, Spanish
Referring to the Mythological Greek God of Trees; Similar to Sylvanus
Boy/Male
Hindu, Indian
Conquerer of Seasons
Girl/Female
Arabic, Australian, French, Turkish
Lush; Flowing Water
Girl/Female
Tamil
Goddess Durga, One who strives with pertinacity of purpose, One who makes the people obtain the divine wisdom by reducing the ignorance
Girl/Female
Muslim/Islamic
Sunset
Boy/Male
Tamil
Who has faith in God
Boy/Male
Arabic, Muslim, Sindhi
Free; Liberal
Boy/Male
American, Australian, British, Chinese, Danish, English, French, German, Italian, Latin
Eighth Child; This Name was Given to the Eighth Child in a Large Family
Girl/Female
Sikh
Young queen, Princess
Surname or Lastname
English
English : probably a variant spelling of Baron.
DISTANCE TRANSFORM
DISTANCE TRANSFORM
DISTANCE TRANSFORM
DISTANCE TRANSFORM
DISTANCE TRANSFORM
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.
a.
Indistinct; faint; obscure, as from distance.
a.
Reserved or repelling in manners; cold; not cordial; somewhat haughty; as, a distant manner.
a.
Far separated; far off; not near; remote; -- in place, time, consanguinity, or connection; as, distant times; distant relatives.
a.
Separated; having an intervening space; at a distance; away.
v. t.
To mention as a case or example; to refer to; to cite; as, to instance a fact.
n.
Remoteness in succession or relation; as, the distance between a descendant and his ancestor.
imp. & p. p.
of Distance
v. t.
To place at a distance or remotely.
v. t.
To outstrip by as much as a distance (see Distance, n., 3); to leave far behind; to surpass greatly.
a.
Distance.
n.
The remoteness or reserve which respect requires; hence, respect; ceremoniousness.
v. t.
To cause to appear as if at a distance; to make seem remote.
n.
A withholding of intimacy; alienation; coldness; disagreement; variance; restraint; reserve.
n.
Length or interval of time; period, past or future, between two eras or events.
a.
Not conformable; discrepant; repugnant; as, a practice so widely distant from Christianity.
n.
Removal to a distance; withdrawal; a being at a distance; distance.
n.
The interval between two notes; as, the distance of a fourth or seventh.
n.
An instrument for measuring the distance of distinct vision, mainly for the selection of eveglasses.
n.
Distance.