Joachim H. Rieger - Selected Publications



Some pdf-files of articles below are preprint versions, please consult the homepages of the journals for the final versions.



W. Domitrz and J.H. Rieger - ``Volume-preserving subgroups of $\cA$ and $\cK$ and singularities in unimodular geometry'', Mathematische Annalen 345 (2009), 783-817. pdf file (the original publication is available at www.springeronline.com as DOI 10.1007/s00208-009-0375-z)


J.H. Rieger, M.A.S. Ruas and R. Wik Atique - ``Real deformations and invariants of map-germs'', Banach Center Publications 82 (2008), 183-199. pdf file


J.H. Rieger, M.A.S. Ruas and R. Wik Atique - ``M-deformations of A-simple germs from $R^n$ to $R^{n+1}$'', Mathematical Proceedings of the Cambridge Philosophical Society 144 (2008), 181-195. pdf file


C. Klotz, O.Pop and J.H. Rieger - ``Real double-points of deformations of A-simple map-germs from $R^n$ to $R^{2n}$'', Mathematical Proceedings of the Cambridge Philosophical Society 142 (2007), 341-363; pdf file


S. Ghosh and J.H. Rieger - ``Singularities of secant maps of immersed surfaces'', Geometriae Dedicata 121 (2006), 73-87; pdf file (the original publication is available at www.springeronline.com as DOI 10.1007/s10711-006-9088-6 )


J.H. Rieger and M.A.S. Ruas - ``M-deformations of A-simple $\Sigma ^{n-p+1}$-germs from $R^n$ to $R^p$, $n\ge p$'', Mathematical Proceedings of the Cambridge Philosophical Society 139 (2005), 333-349; pdf file


W. Domitrz and J.H. Rieger - ``Volume-preserving diffeomorphisms on varieties and $A_{\Omega}$-equivalence of maps''; Singularities and Symplectic Geometry - Part VII, Warsaw Singularity Theory seminar publication series, 2005, 2-41.


J.H. Rieger - ``A-unimodal map-germs into the plane'', Hokkaido Mathematical Journal 33 (2004), 47-64; pdf file


J.H. Rieger - ``Invariants of equidimensional corank-1 maps'', Banach Center Publications 62 (2004), 239-248; pdf file


J.H. Rieger - ``Voronoi diagrams of real algebraic sets'', Geometriae Dedicata 98 (2003), 81-94; pdf file


J.H. Rieger - ``Hypersurfaces of extremal slope'', Proceedings of the Royal Society of Edinburgh 133A (2003), 449-465; pdf file


J.H. Rieger - ``Recognizing unstable equidimensional maps, and the number of stable projections of algebraic hypersurfaces'', Manuscripta mathematica 99 (1999), 73-91; pdf file


J.H. Rieger - ``Proximity in arrangements of algebraic sets'', SIAM Journal on Computing 29 (1999), 433-458; pdf file (paper), pdf file (corrigendum)


J.H. Rieger - ``Notes on the complexity of exact view graph algorithms for piecewise smooth algebraic surfaces'', Discrete and Computational Geometry 20 (1998), 205-229; pdf file


J.S. Carter, J.H. Rieger and M. Saito - ``A combinatorial description of knotted surfaces and their isotopies'', Advances in Mathematics 127:1 (1997), 1-51; pdf file


J.H. Rieger - ``Topographical properties of generic images'', International Journal of Computer Vision 23:1 (1997), 79-92;


J.H. Rieger - ``On the complexity and computation of view graphs of piecewise smooth algebraic surfaces'', Philosophical Transactions of the Royal Society London Ser. A 354 (1996), Number 1714, 1899-1940


J.H. Rieger - ``Generic evolutions of edges on families of diffused greyvalue surfaces'', Journal of Mathematical Imaging and Vision 5 (1995), 207-217


J.H. Rieger and K. Rohr - ``Semi-algebraic solids in 3-space: a survey of modelling schemes and implications for view graphs'', Image and Vision Computing 12 (1994), 395-410


J.H. Rieger - ``Computing view graphs of algebraic surfaces'', Journal of Symbolic Computation 16 (1993), 259-272


J.H. Rieger - ``Projections of generic surfaces of revolution'', Geometriae Dedicata 48 (1993), 211-230


J.H. Rieger - ``Global bifurcation sets and stable projections of non-singular algebraic surfaces'', International Journal of Computer Vision 7:3 (1992), 171-194


J.H. Rieger - ``Generic properties of edges and ``corners'' on smooth greyvalue surfaces'', Biological Cybernetics 66 (1992), 497-502


J.H. Rieger and M.A.S. Ruas - ``Classification of A-simple germs from k^n to k^2'', Compositio Mathematica 79 (1991), 99-108


J.H. Rieger - ``Versal topological stratification and the bifurcation geometry of map-germs of the plane'', Mathematical Proceedings of the Cambridge Philosophical Society 107 (1990), 127-147


J.H. Rieger - ``The geometry of view space of opaque objects bounded by smooth surfaces'', Artificial Intelligence 44 (1990), 1-40


J.H. Rieger - ``Families of maps from the plane to the plane'', Journal of the London Mathematical Society (2) 36 (1987), 351-369


J.H. Rieger - ``On the classification of views of piecewise smooth objects'', Image and Vision Computing 5 (1987), 91-97


D.T. Lawton, J.H. Rieger and M.E. Steenstrup, - ``Computational techniques in motion processing'', in Vision, Brain and Cooperative Computation, MIT Press, Cambridge (MA) 1987, 419-488


J.H. Rieger - ``Three-dimensional motion from fixed points of a deforming profile curve'', Optics Letters 11 (1986), 123-125


J.H. Rieger and L. Toet - ``Human visual navigation in the presence of 3-D rotations'', Biological Cybernetics 52 (1985), 377-381


J.H. Rieger and D.T. Lawton - ``Processing differential image motion'', Journal of the Optical Society of America A2 (1985), 354-360


J.H. Rieger - ``Information in optical flows induced by curved paths of observation'', Journal of the Optical Society of America 73 (1983), 339-344