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JMIV
1998
124views more  JMIV 1998»
13 years 10 months ago
Preserving Topology by a Digitization Process
The main task of digital image processing is to recognize properties of real objects based on their digital images. These images are obtained by some sampling device, like a CCD c...
Longin Jan Latecki, Christopher Conrad, Ari D. Gro...
JMIV
1998
112views more  JMIV 1998»
13 years 10 months ago
Differential and Integral Geometry of Linear Scale-Spaces
Linear scale-space theory provides a useful framework to quantify the differential and integral geometry of spatio-temporal input images. In this paper that geometry comes about by...
Alfons H. Salden, Bart M. ter Haar Romeny, Max A. ...
JMIV
1998
93views more  JMIV 1998»
13 years 10 months ago
Connectivity on Complete Lattices
Classically, connectivity is a topological notion for sets, often introduced by means of arcs. A non topological axiomatics has been proposed by Matheron and Serra. The present pa...
Jean Serra
JMIV
1998
130views more  JMIV 1998»
13 years 10 months ago
Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties
Singular points of scalar images in any dimensions are classified by a topological number. This number takes integer values and can efficiently be computed as a surface integral ...
Stiliyan Kalitzin, Bart M. ter Haar Romeny, Alfons...
JMIV
1998
106views more  JMIV 1998»
13 years 10 months ago
Linear Scale-Space Theory from Physical Principles
In the past decades linear scale-space theory was derived on the basis of various axiomatics. In this paper we revisit these axioms and show that they merely coincide with the foll...
Alfons H. Salden, Bart M. ter Haar Romeny, Max A. ...