Computer Vision, Graphics, and Image Processing
Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Computing distance transformations in convex and non-convex domains
Pattern Recognition
Image compression by selecting control points using distance function on curved space
Pattern Recognition Letters
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)
Finding Shortest Paths on Surfaces Using Level Sets Propagation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fuzzy distance transform: theory, algorithms, and applications
Computer Vision and Image Understanding
Shortest route on gray-level map using distance transform on curved space
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Shortest path planning on topographical maps
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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
Morphological Amoebas Are Self-snakes
Journal of Mathematical Imaging and Vision
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
Distance transforms on anisotropic surfaces for surface roughness measurement
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Pixel queue algorithm for geodesic distance transforms
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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The distance transform on curved space (DTOCS) and its locally Euclidean modification weighted DTOCS (WDTOCS) calculate distances along gray-level surfaces. This article presents the Route DTOCS algorithm for finding and visualizing the shortest route between two points on a gray-level height map, and also introduces new distance definitions producing more accurate global distances. The algorithm is very simple to implement, and finds all optimal paths between the two points at once. The Route DTOCS is an efficient 2D approach to finding routes on a 3D surface. It also provides a more flexible solution to obstacle avoidance problems than the constrained distance transform.