Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Prolongation in good continuation
 Michaelsen, Eckart; Meidow, Jochen: Hierarchical Perceptual Grouping for Object Recognition. Theoretical Views and GestaltLaw Applications Cham: Springer International Publishing, 2019 (Advances in Computer Vision and Pattern Recognition) ISBN: 9783030040390 ISBN: 9783030040406 ISBN: 9783030040413 pp.111125 

 English 
 Book Article 
 Fraunhofer IOSB () 
Abstract
Smooth continuation of contours or lines also filling large gaps with illusory structure may be seen as the most stunning example for perceptual grouping. Much of the Gestalt literature on human seeing is about this topic. This must not be confused with the repetition of Gestalten in frieze symmetry. This chapter first presents a proven standard approach to this issue: the tensor voting. This technique is based on a smooth function on the 2Ddomain similar to the assessments used elsewhere in this book. However, this function is matrixvalued, a field of symmetric positive semidefinite 2x2 matrices. In its classical use, this tensor field is rasterized and accumulated on the pixel grid, but this chapter shows ways to use the continuous field within the framework of this book. Tensor voting also generalizes well to higher dimensions, but that is beyond the scope of this book. Instead, the chapter also presents an operation for linear prolongation that fits well in the Gestaltalgebra approach and has proven useful in particular for the analysis of remotely sensed images of urban terrain.