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» The Lie Model for Euclidean Geometry
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ECCV
2010
Springer
13 years 8 months ago
Intrinsic Regularity Detection in 3D Geometry
Abstract. Automatic detection of symmetries, regularity, and repetitive structures in 3D geometry is a fundamental problem in shape analysis and pattern recognition with applicatio...
Niloy J. Mitra, Alexander M. Bronstein, Michael M....
GIS
2010
ACM
13 years 5 months ago
Tolerance geometry: Euclid's first postulate for points and lines with extension
Object representation and reasoning in vector based geographic information systems (GIS) is based on Euclidean geometry. Euclidean geometry is built upon Euclid's first postu...
Gwen Wilke, Andrew U. Frank
DAGSTUHL
2003
13 years 8 months ago
Reliable Distance and Intersection Computation Using Finite Precision Geometry
In this paper we discuss reliable methods in the field of finite precision geometry. We begin with a brief survey of geometric computing and approaches generally used in dealing ...
Katja Bühler, Eva Dyllong, Wolfram Luther
CIE
2005
Springer
14 years 1 months ago
Computability in Computational Geometry
We promote the concept of object directed computability in computational geometry in order to faithfully generalise the wellestablished theory of computability for real numbers and...
Abbas Edalat, Ali Asghar Khanban, André Lie...
IPMI
2005
Springer
14 years 8 months ago
Unified Statistical Approach to Cortical Thickness Analysis
This paper presents a unified image processing and analysis framework for cortical thickness in characterizing a clinical population. The emphasis is placed on the development of d...
Moo K. Chung, Steve Robbins, Alan C. Evans