Computational geometry: an introduction
Computational geometry: an introduction
Combinatorial optimization: algorithms and complexity
Combinatorial optimization: algorithms and complexity
Fast parallel and serial approximate string matching
Journal of Algorithms
Text algorithms
A unified linear-time algorithm for computing distance maps
Information Processing Letters
Real data—integer solution problems with the Blum-Shub-Smale computational model
Journal of Complexity
Optimal parallel two dimension text searching on a CREW PRAM4
Information and Computation
On the Topological Properties of Quantized Spaces, I. The Notion of Dimension
Journal of the ACM (JACM)
Classifying the literature related to computer vision and image analysis
Computer Vision and Image Understanding
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Linear Time Euclidean Distance Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Power of Non-Rectilinear Holes
Proceedings of the 9th Colloquium on Automata, Languages and Programming
Polyhedra generation from lattice points
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital straightness: a review
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
On the min DSS problem of closed discrete curves
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
The Image Processing Handbook, Fifth Edition (Image Processing Handbook)
The Image Processing Handbook, Fifth Edition (Image Processing Handbook)
Discrete Applied Mathematics
Border and Surface Tracing - Theoretical Foundations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Zone Diagrams: Existence, Uniqueness, and Algorithmic Challenge
SIAM Journal on Computing
On the polyhedral complexity of the integer points in a hyperball
Theoretical Computer Science
Finding a minimum medial axis of a discrete shape is NP-hard
Theoretical Computer Science
Minimum decomposition of a digital surface into digital plane segments is NP-hard
Discrete Applied Mathematics
Digitization scheme that assures faithful reconstruction of plane figures
Pattern Recognition
Introduction to Algorithms, Third Edition
Introduction to Algorithms, Third Edition
Scaling of plane figures that assures faithful digitization
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Polyhedrization of discrete convex volumes
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
Maximal digital straight segments and convergence of discrete geometric estimators
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Computational aspects of digital plane and hyperplane recognition
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Building the Component Tree in Quasi-Linear Time
IEEE Transactions on Image Processing
Complexity and approximability issues in combinatorial image analysis
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Computational-geometry approach to digital image contour extraction
Transactions on computational science XIII
Mollified zone diagrams and their computation
Transactions on Computational Science XIV
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In recent years image analysis has become a research field of exceptional significance, due to its relevance to real life problems in important societal and governmental sectors, such as medicine, defense, and security. The explicit purpose of the present Perspective is to suggest a number of strategic objectives for theoretical research, with an emphasis on the combinatorial approach in image analysis. Most of the proposed objectives relate to the need to make the theoretical foundations of combinatorial image analysis better integrated within a number of well-established subjects of theoretical computer science and discrete applied mathematics, such as the theory of algorithms and problem complexity, combinatorial optimization and polyhedral combinatorics, integer and linear programming, and computational geometry.