Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Computing distance transformations in convex and non-convex domains
Pattern Recognition
An Efficient Uniform Cost Algorithm Applied to Distance Transforms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized geodesy via geodesic time
Pattern Recognition Letters
New geodesic distance transforms for gray-scale images
Pattern Recognition Letters
On digital distance transforms in three dimensions
Computer Vision and Image Understanding
Sequential Operations in Digital Picture Processing
Journal of the ACM (JACM)
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Shortest routes on varying height surfaces using gray-level distance transforms
Image and Vision Computing
Breadth-first search and its application to image processing problems
IEEE Transactions on Image Processing
Distance and nearest neighbor transforms on gray-level surfaces
Pattern Recognition Letters
Priority pixel queue algorithm for geodesic distance transforms
Image and Vision Computing
A Survey of Motion Planning Algorithms from the Perspective of Autonomous UAV Guidance
Journal of Intelligent and Robotic Systems
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Adaptive morphological filtering using similarities based on geodesic time
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Distance and nearest neighbor transforms of gray-level surfaces using priority pixel queue algorithm
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Distance transforms on anisotropic surfaces for surface roughness measurement
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
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Geodesic distance transforms are usually computed with sequential mask operations, which may have to be iterated several times to get a globally optimal distance map. This article presents an efficient propagation algorithm based on a best-first pixel queue for computing the Distance Transform on Curved Space (DTOCS), applicable also for other geodesic distance transforms. It eliminates repetitions of local distance calculations, and performs in near-linear time.