Local distances for distance transformations in two and three dimensions

No abstract is available for this paper.

• Publication year

  1991

• Venue

  Pattern Recognition Letters

• Publication date

  1991-11-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1016/0167-8655(91)90004-6
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Discrete straight line segments: parameters, primitives and properties

  1991cited by this paper
• A multiresolution work space, multiresolution configuration space approach to solve the path planning problem

  1990cited by this paper
• The probability of a random straight line in two and three dimensions

  1990cited by this paper
• Shading from shape, the eikonal equation solved by grey-weighted distance transform

  1990cited by this paper
• 2-D adaptive smoothing by 3-D distance transformation

  1989cited by this paper
• A comment on "a note on 'distance transformations in digital images'"

  1989cited by this paper
• An Efficient Uniform Cost Algorithm Applied to Distance Transforms

  1989cited by this paper
• A nonlinear laplace operator as edge detector in noisy images

  1989cited by this paper
• A note on "distance transformations in digital images"

  1988cited by this paper
• Improved metrics in image processing applied to the Hilditch skeleton

  1988cited by this paper
• Distances defined by neighborhood sequences

  1986cited by this paper
• Distance transformations in digital images

  1986cited by this paper
• Distance transformations in arbitrary dimensions

  1984cited by this paper
• Euclidean distance mapping

  1980cited by this paper
• Area and perimeter measurement of blobs in discrete binary pictures

  1977cited by this paper
• Distance functions on digital pictures

  1968cited by this paper
• A Method for Obtaining Skeletons Using a Quasi-Euclidean Distance

  1968cited by this paper
• Sequential Operations in Digital Picture Processing

  1966cited by this paper

• Approximation of Euclidean Metric by Digital Distances

  2020cites this paper
• Optimum design of chamfer masks using symmetric mean absolute percentage error

  2019cites this paper
• Algorithms for Grey-Weighted Distance Computations

  2019cites this paper
• Robust cost function for optimizing chamfer masks

  2018cites this paper
• Estimating the sediment trap efficiency of intermittently dry reservoirs: lessons from the Kruger National Park, South Africa

  2018cites this paper
• PR EP RI NT Medial Axis Lookup Table and Test Neighborhood Computation for 3 D Chamfer Norms

  2017cites this paper
• Three-Dimensional Measurement of Hepatocellular Carcinoma Ablation Zones and Margins for Predicting Local Tumor Progression.

  2016cites this paper
• Using local convexities as anchor points for 3D curve skeletonization

  2016cites this paper
• Linear Time Distances Between Fuzzy Sets With Applications to Pattern Matching and Classification

  2014cites this paper
• Linear combination of weighted t-cost and chamfering weighted distances

  2014cites this paper
• Linear combination of norms in improving approximation of Euclidean norm

  2013cites this paper
• Hyperspheres of weighted distances in arbitrary dimension

  2013cites this paper
• Quantification of coronary arterial stenoses in CTA using fuzzy distance transform

  2012cites this paper
• Projections et distances discrètes

  2012cites this paper
• Approximation of the Euclidean Distance by

  2012cites this paper
• Comments on "On approximating Euclidean metrics by weighted t-cost distances in arbitrary dimension"

  2012cites this paper
• Approximation of the Euclidean Distance by Chamfer Distances

  2012influential citation
• Analyzing Tubular Tissue in Histopathological Thin Sections

  2012cites this paper
• MEASUREMENT OF THE SHORTEST PATH LENGTH ; DISTANCE ESTIMATION WITHIN THE 3 D BORDERS OF A TISSUE OF INTEREST

  2011influential citation
• COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY

  2011cites this paper
• Distance-Driven Skeletonization in Voxel Images

  2011cites this paper
• MEASUREMENT OF THE SHORTEST PATH LENGTH; DISTANCE ESTIMATION WITHIN THE 3D BORDERS OF A TISSUE OF INTEREST

  2011influential citation
• UvA-DARE ( Digital Academic Repository ) Morphology , growth and patterning of the developing heart : methods and applications

  2011cites this paper
• Integer approximation of 3D chamfer mask coefficients using a scaling factor in anisotropic grids

  2011influential citation
• Digital distance functions on three-dimensional grids

  2011cites this paper
• Novel multi-scale topo-morphologic approaches to pulmonary medical image processing

  2010cites this paper
• Orientation Analysis; multi-valuedness and shape descriptors

  2010cites this paper
• Geometric correlation methods for the identification of graphical objects

  2010cites this paper
• Topomorphologic Separation of Fused Isointensity Objects via Multiscale Opening: Separating Arteries and Veins in 3-D Pulmonary CT

  2010cites this paper
• Short Papers

  2009cites this paper
• Lower and Upper Bounds for Scaling Factors Used for Integer Approximation of 3D Anisotropic Chamfer Distance Operator

  2009influential citation
• Medial axis lookup table and test neighborhood computation for 3D chamfer norms

  2009cites this paper
• High-Precision Boundary Length Estimation by Utilizing Gray-Level Information

  2009influential citation
• A Caudal Proliferating Growth Center Contributes to Both Poles of the Forming Heart Tube

  2009cites this paper
• Weighted distances based on neighborhood sequences for point-lattices

  2009cites this paper
• Path-based distance functions in n-dimensional generalizations of the face- and body-centered cubic grids

  2009cites this paper
• Three‐Dimensional Imaging

  2008cites this paper
• Weighted Neighborhood Sequences in Non-standard Three-Dimensional Grids - Parameter Optimization

  2008cites this paper
• Perimeter estimation based on grey level object representation

  2008cites this paper
• Non-uniform 3D distance transform for anisotropic signal correction in confocal image volumes of skeletal muscle cell nuclei

  2008cites this paper
• Medial Axis LUT Computation for Chamfer Norms Using H-Polytopes

  2008cites this paper
• Methods and models for 2D and 3D image analysis in microscopy, in particular for the study of muscle cells ; Metoder och modeller för två- och tredimensionell bildanalys inom mikroskopi, speciellt med inrikting mot muskelceller

  2008cites this paper
• Distance and nearest neighbor transforms on gray-level surfaces

  2007cites this paper
• Weighted distance transforms generalized to modules and their computation on point lattices

  2007cites this paper
• Weighted distances based on neighbourhood sequences

  2007cites this paper
• Registration & Modeling of Shapes with Uncertainties: Contributions and Applications to Knowledge Based Segmentation

  2007cites this paper
• Distances based on neighbourhood sequences in non-standard three-dimensional grids

  2007cites this paper
• Minimal Cost-Path for Path-Based Distances

  2007cites this paper
• Target Detection and Recognition through Contour Matching

  2007cites this paper
• Skeletonization of Laser-Scanned Trees in the 3D Raster Domain

  2006cites this paper
• Weighted Distance Transformations with Integer Neighbourhoods

  2006influential citation
• Approximating Euclidean Distance Using Distances Based on Neighbourhood Sequences in Non-standard Three-Dimensional Grids

  2006cites this paper
• Extraction de paramètres morphométriques pour l'étude du réseau micro-vasculaire cérébral. (Morphometrical parameters extraction for the study of the micro-vascular network of the brain)

  2005cites this paper
• Discrete topology on N-dimensional square tessellated grids

  2005cites this paper
• Distance transforms for three-dimensional grids with non-cubic voxels

  2005cites this paper
• Adaptive estimation of normals and surface area for discrete 3-D objects: application to snow binary data from X-ray tomography

  2005cites this paper
• 3-D chamfer distances and norms in anisotropic grids

  2005cites this paper
• Geometric Methods for Digital Picture Analysis

  2005cites this paper
• 2D and 3D visibility in discrete geometry: an application to discrete geodesic paths

  2004cites this paper
• Depth from gradient fields and control points: bias correction in photometric stereo

  2004cites this paper
• A comparative evaluation of length estimators of digital curves

  2004cites this paper
• A survey of discrete shape analysis for computer imagery

  2004cites this paper
• Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions

  2004cites this paper
• Mathematical Morphology Based on Linear Combined Metric Spaces on Z2 (Part I): Fast Distance Transforms

  2004cites this paper
• Digital geometry - geometric methods for digital picture analysis

  2004cites this paper
• Structuring laser-scanned trees using 3D mathematical morphology

  2004cites this paper
• Automatic calculation of chamfer mask coefficients for large masks and anisotropic images

  2003cites this paper
• Systematized Calculation of Optimal Coefficients of 3-D Chamfer Norms

  2003cites this paper
• Discrete Geometry for Computer Imagery

  2003influential citation
• A Linear Time Algorithm for Computing Exact Euclidean Distance Transforms of Binary Images in Arbitrary Dimensions

  2003cites this paper
• Digital Geometry and Mathematical Morphology Lecture Notes, Spring Semester 2002

  2003cites this paper
• Voxel-based surface area estimation: from theory to practice

  2003cites this paper
• Skeletons in N dimensions using shape primitives

  2002cites this paper
• A new method to compute the distortion vector field from two images

  2002cites this paper
• Estimation of curvature on surfaces in 3D grey-value images

  2002cites this paper
• Medial axis for chamfer distances: computing look-up tables and neighbourhoods in 2D or 3D

  2002cites this paper
• Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths

  2002cites this paper
• Fuzzy Distance Transform: Theory, Algorithms, and Applications

  2002cites this paper
• Morphological operations in recursive neighbourhoods

  2002cites this paper
• Distance transforms in 3D using four different weights

  2002influential citation
• A comparative evaluation of length estimators

  2002cites this paper
• Digital Distance Transforms in 3D Images Using Information from Neighbourhoods up to 5×5×5

  2002influential citation
• Multigrid Convergence and Surface Area Estimation

  2002cites this paper
• Digital geometry

  2002cites this paper
• Description and classification of soil structure using distance transform data

  2001cites this paper
• Optimal Local Distances for Distance Transforms in 3D Using an Extended Neighbourhood

  2001cites this paper
• Bias Correction in Photometric Stereo using Control Points

  2001cites this paper
• Application of Baddeley's distance to dissimilarity measurement between gray scale images

  2001cites this paper
• Maillages Homotopiques tétraèdriques des tissus de la tête pour le calcul du probleme direct en magnéto/electro-encephalographie

  2001cites this paper
• Structures dans les sph eres de chanfrein Structures in chamfer spheres

  2000cites this paper
• 3D nonstationary local distance operator

  2000cites this paper
• Optimizing 3D chamfer masks with norm constraints

  2000influential citation
• Mathematical Morphology Based on Linear Combined Metric Spaces on Z2 (Part I): Fast Distance Transforms

  2000cites this paper
• Morphological Operations on 3D and 4D Images: From Shape Primitive Detection to Skeletonization

  2000cites this paper
• Triangulations des boules de chanfrein

  1999cites this paper
• Secondary phase distribution analysis via finite body tessellation

  1999cites this paper
• Euclidean Ordering via Chamfer Distance Calculations

  1999cites this paper
• The segmentation of cursive handwriting: an approach based on off-line recovery of the motor-temporal information

  1999cites this paper
• Extracting line representations of sulcal and gyral patterns in MR images of the human brain

  1998cites this paper
• Optimum design of chamfer distance transforms

  1998influential citation