Industrial Geometry

The NFN report series

2011

T. Fidler, M. Grasmair, and O. Scherzer. Shape reconstruction with a priori knowledge based on integral invariants. Industrial Geometry report 113, February 2011.
M. Grasmair. Linear convergence rates for Tikhonov regularisation with positively homogeneous functionals. Industrial Geometry report 112, February 2011.

2010
O. Aichholzer, W. Aigner, F. Aurenhammer, K. Č. Dobiášová, B. Jüttler, and G. Rote. Arc triangulations. Industrial Geometry report 111, November 2010.
O. Aichholzer, W. Aigner, F. Aurenhammer, and B. Jüttler. Exact medial axis computation of triangulated solids with respect to piecewise linear metrics. Industrial Geometry report 110, November 2010.
O. Aichholzer, W. Aigner, T. Hackl, and N. Wolpert. Exact medial axis computation for circular arc boundaries. Industrial Geometry report 109, November 2010.
F. Frühauf, C. Pontow, and O. Scherzer. Texture enhancing based on variational image decomposition. Industrial Geometry report 108, October 2010.
M. Grasmair. Well-posedness classes for sparse regularisation. Industrial Geometry report 107, October 2010.
T. Schulz and B. Jüttler. Envelope computation by approximate implicitization. Industrial Geometry report 106, August 2010.
B. Jüttler, A. Poteaux, and X. Song. Medial axis computation using a hierarchical spline approximation of the signed distance function. Industrial Geometry report 105, July 2010.
M. Grasmair. Generalized bregman distances and convergence rates for non-convex regularization methods. Industrial Geometry report 104, May 2010.
M. Grasmair. A coarea formula for anisotropic total variation regularisation. Industrial Geometry report 103, May 2010.
M. Grasmair. A locally adaptive total variation based algorithm for image restoration. Industrial Geometry report 102, May 2010.
A. De Cezaro, O. Scherzer, and J. Zubelli. Convex regularization of local volatility models from option prices: Convergence analysis and rates. Industrial Geometry report 101, April 2010.
M. Schifko, B. Jüttler, and B. Kornberger. Industrial application of exact Boolean operations for meshes. Industrial Geometry report 100, April 2010.
O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler, E. Pilgerstorfer, and M. Rabl. Divide-and-conquer for voronoi diagrams revisited. Industrial Geometry report 99, January 2010.
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M. Oberneder, and Z. Sír. Computational and structural advantages of circular boundary representation. Industrial Geometry report 98, January 2010.
O. Aichholzer, S. Cabello, R. Fabila-Monroy, D. F.-P. naloza, T. Hackl, C. Huemer, F. Hurtado, and D. Wood. Edge-removal and non-crossing configurations in geometric graphs. Industrial Geometry report 97, January 2010.
O. Aichholzer, T. Hackl, C. Huemer, F. Hurtado, and B. Vogtenhuber. Large bichromatic point sets admit empty monochromatic 4-gons. Industrial Geometry report 96, January 2010.
J. Abhau, O. Aichholzer, S. Colutto, B. Kornberger, and O. Scherzer. Shape spaces via medial axis transforms for segmentation of 3d voxel data. Industrial Geometry report 92, January 2010.

2009
O. Aichholzer, F. Aurenhammer, T. Hackl, and B. Speckmann. On minimum weight pseudo-triangulations. Industrial Geometry report 95, December 2009.
E. Ackerman, O. Aichholzer, and B. Keszegh. Improved upper bounds on the reflexivity of point sets. Industrial Geometry report 94, November 2009.
O. Aichholzer, S. Bereg, A. Dumitrescu, A. García, C. Huemer, F. Hurtado, M. Kano, A. Márquez, D. Rappaport, S. Smorodinsky, D. Souvaine, J. Urrutia, and D. Wood. Compatible geometric matchings. Industrial Geometry report 93, December 2009.
B. Bastl, B. Jüttler, J. Kosinka, and M. Lávička. Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets. Industrial Geometry report 91, November 2009.
B. Bastl, B. Jüttler, M. Lávička, J. Schicho, and Z. Šír. Spherical quadratic bézier triangles with chord lengths parameterization and tripolar coordinates in space. Industrial Geometry report 90, November 2009.
M. Aigner, L. Gonzalez-Vega, B. Jüttler, and M. L. Sampoli. Computing isophotes on free-form surfaces based on approximate dual implicitization. Industrial Geometry report 89, September 2009.
M. Aigner and B. Jüttler. Robust fitting of implicitly defined surfaces using gauss-newton-type techniques. Industrial Geometry report 88, October 2009.
G. Della Vecchia and B. Jüttler. Piecewise rational manifold surfaces with sharp features. Industrial Geometry report 87, September 2009.
M. Grasmair. Non-convex sparse regularization. Industrial Geometry report 86, May 2009.
F. Lenzen and O. Scherzer. Morphological partial differential equations for optical flow computations and applications to image interpolation. Industrial Geometry report 85, May 2009.
M. Grasmair and F. Lenzen. Anisotropic total variation filtering. Industrial Geometry report 84, April 2009.
C. Pöschl, J. Modersitzki, and O. Scherzer. A variational setting for volume constrained image registration. Industrial Geometry report 83, February 2009.
F. Lenzen and O. Scherzer. A geometric PDE for interpolation of m-channel data. Industrial Geometry report 82, February 2009.
M. Grasmair. Locally adaptive total variation regularization. Industrial Geometry report 81, February 2009.
M. Rabl and B. Jüttler. Fast distance computation using quadratically supported surfaces. Industrial Geometry report 80, January 2009.

2008
X. Song and B. Jüttler. Modeling and 3d object reconstruction by implicitly defined surfaces with sharp features. Industrial Geometry report 79, Dezember 2008.
B. Jüttler and B. Moore. A quadratic clipping step with superquadratic convergence for bivariate polynomial systems. Industrial Geometry report 78, October 2008.
M. Rabl, L. Gonzalez-Vega, B. Jüttler, and H.-P. Schröcker. Oriented bounding surfaces with at most six common normals. Industrial Geometry report 77, September 2008.
X. Song, M. Aigner, F. Chen, and B. Jüttler. Circular spline fitting using an evolution process. Industrial Geometry report 76, September 2008.
P. Elbau, M. Grasmair, O. Scherzer, and F. Lenzen. Evolution by non-convex functionals. Industrial Geometry report 75, September 2008.
M. Grasmair. Well-posedness and convergence rates for sparse regularization with sublinear l^q penalty term. Industrial Geometry report 74, August 2008.
O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler, and M. Rabl. Medial axis computation for planar free-form shapes. Industrial Geometry report 73, May 2008.
J. Abhau and O. Scherzer. A combinatorial method for topology adaptations in 3d deformable models. Industrial Geometry report 72, July 2008.
M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Shape metrics based on elastic deformations. Industrial Geometry report 71, June 2008.
S. Colutto, F. Frühauf, M. Fuchs, and O. Scherzer. The cma-es on Riemannian manifolds to reconstruct shapes in 3d voxel images. Industrial Geometry report 70, May 2008.
M. Fuchs and S. Gerber. Variational shape detection in microscope images based on joint shape and image feature statistics. Industrial Geometry report 69, May 2008.
H. Grossauer and P. Thoman. GPU-based multigrid: Real-time performance in high resolution nonlinear image processing. Industrial Geometry report 68, May 2008.
H.-P. Schröcker, B. Jüttler, and M. Aigner. Evolving four-bars for optimal synthesis. Industrial Geometry report 67, April 2008.
M. Aigner and B. Jüttler. Gauss-Newton-type techniques for robustly fitting implicitly defined curves and surfaces to unorganized data points. Industrial Geometry report 65, February 2008.

2007
M. R. Dörfel, B. Jüttler, and B. Simeon. Adaptive isogeometric analysis by local h-refinement with T-splines. Industrial Geometry report 64, December 2007.
F. Aurenhammer and B. Jüttler. On computing the convex hull of (piecewise) spherical objects. Industrial Geometry report 63, December 2007.
G. D. Vecchia, B. Jüttler, and M.-S. Kim. A construction of rational manifold surfaces of arbitrary topology and smoothness from triangular meshes. Industrial Geometry report 61, November 2007.
M. Aigner, B. Jüttler, L. Gonzalez-Vega, and J. Schicho. Parameterization of diamond surfaces. Industrial Geometry report 60, November 2007.
R. Feichtinger, H. Yang, and B. Jüttler. Particle-based T-spline level set evolution with range and volume constraints. Industrial Geometry report 59, October 2007.
T. Fidler, M. Grasmair, and O. Scherzer. Identifiability and reconstruction of shapes from integral invariants. Industrial Geometry report 58, October 2007.
M. Grasmair. Convex regularization methods with non-uniform total variation penalization. Industrial Geometry report 57, October 2007.
G. Nawratil and H. Pottmann. Subdivision schemes for the fair discretization of the spherical motion group. Industrial Geometry report 56, June 2007.
H. Pottmann, P. Grohs, and N. J. Mitra. Laguerre minimal surfaces and isotropic geometry and linear elasticity. Industrial Geometry report 55, July 2007.
M. Aigner and B. Jüttler. Distance regression by Gauss-Newton-type methods and and iteratively re-weighted least-squares. Industrial Geometry report 54, July 2007.
M. Grasmair and A. Obereder. Generalizations of the taut string method. Industrial Geometry report 53, July 2007.
M. Fuchs and O. Scherzer. Segmentation of biologic image data with a-priori knowledge. Industrial Geometry report 52, May 2007.
M. Fuchs and O. Scherzer. Regularized reconstruction of shapes with statistical a priori knowledge. Industrial Geometry report 51, May 2007.
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Kornberger, M. Peternell, and H. Pottmann. Approximating boundary-triangulated objects with balls. Industrial Geometry report 49, February 2007.
O. Aichholzer, T. Hackl, M. Hoffmann, C. Huemer, F. Santos, B. Speckmann, and B. Vogtenhuber. Maximizing maximal angles for plane straight line graphs. Industrial Geometry report 48, January 2007.
G. Nawratil, H. Pottmann, and B. Ravani. Generalized penetration depth computation based on kinematical geometry. Industrial Geometry report 44, March 2007.
B. Jüttler. A note on the convolutions of rational surfaces with quadratic polynomial (and other) surfaces. Industrial Geometry report 42, March 2007.
M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Combined evolution of level sets and b-spline curves for imaging. Industrial Geometry report 41, January 2007.
T. Fidler, M. Grasmair, H. Pottmann, and O. Scherzer. Inverse problems of integral invariants and shape signatures. Industrial Geometry report 40, January 2007.

2006
F. Aurenhammer, M. Peternell, H. Pottmann, and J. Wallner. Voronoi diagrams for oriented spheres. Industrial Geometry report 50, December 2006.
F. Aurenhammer. Weighted skeletons and fixed-share decomposition. Industrial Geometry report 47, June 2006.
F. Aurenhammer, R.L.S.Drysdale, and H. Krasser. Farthest line segment voronoi diagrams. Industrial Geometry report 46, August 2006.
O. Aichholzer, F. Aurenhammer, T. Hackl, and C. Huemer. Connecting colored point sets. Industrial Geometry report 45, November 2006.
H. Yang and B. Jüttler. Meshing non-uniformly sampled and incomplete data based on displaced T-spline level sets. Industrial Geometry report 39, December 2006.
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M.Oberneder, and Z. Šír. Computational and structural advantages of circular boundary representation. Industrial Geometry report 38, December 2006.
B. Hofmann, B. Kaltenbacher, C. Pöschl, and O. Scherzer. A convergence rates result in banach spaces with non-smooth operators. Industrial Geometry report 37, December 2006.
A. Obereder, O. Scherzer, and A. Kovac. Bivariate density estimation using bv regularisation. Industrial Geometry report 36, December 2006.
F. Frühauf, B. Gebauer, and O. Scherzer. Detecting interfaces in a parabolic-elliptic problem from surface measurements. Industrial Geometry report 35, December 2006.
C. Pöschl and O. Scherzer. Characterization of minimizers of convex regularization functionals. Industrial Geometry report 34, December 2006.
J. Abhau, W. Hinterberger, and O. Scherzer. Segmenting surfaces of arbitrary topology: A two-step approach. Industrial Geometry report 33, September 2006.
K. Frick and O. Scherzer. Convex inverse scale spaces. Industrial Geometry report 32, October 2006.
M. Burger, K. Frick, S. Osher, and O. Scherzer. Inverse total variation flow. Industrial Geometry report 31, October 2006.
Z. Šír, J. Gravesen, and B. Jüttler. Computing convolutions and minkowski sums via support functions. Industrial Geometry report 29, November 2006.
H. Yang, B. Jüttler, and L. Gonzalez-Vega. An evolution-based approach for the approximate parameterization of implicitly defined curves by polynomial parametric spline curves. Industrial Geometry report 28, November 2006.
H. Yang and B. Jüttler. Fitting implicitly defined curves to unorganized points with sharp features. Industrial Geometry report 27, November 2006.
M. Peternell and B. Odehnal. Convolution surfaces of quadratic triangular Bézier surfaces. Industrial Geometry report 26, October 2006.
R. Feichtinger, M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Dual evolution of planar parametric spline curves and T-spline level sets. Industrial Geometry report 24, October 2006.
J. Wallner and H. Pottmann. Infinitesimally flexible meshes and discrete minimal surfaces. Industrial Geometry report 23, August 2006.
H. Pottmann, J. Wallner, Y.-L. Yang, Y.-K. Lai, and S.-M. Hu. Principal curvatures from the integral invariant viewpoint. Industrial Geometry report 22, July 2006.
H. Pottmann and J. Wallner. The focal geometry of circular and conical meshes. Industrial Geometry report 21, July 2006.
O. Aichholzer, J. García, D. Orden, and P. Ramos. New lower bounds for the number of (≤ k)-edges and the rectilinear crossing number of k_n. Industrial Geometry report 20, July 2006.
C.-Y. Kao, M. Hofer, G. Sapiro, J. Stern, K. Rehm, and D. A. Rottenberg. A geometric method for automatic extraction of sulcal fundi. Industrial Geometry report 19, April 2006.
M. Haltmeier, O. Scherzer, and A. Leitão. Tikhonov and iterative regularization methods for embedded inverse problems. Industrial Geometry report 18, June 2006.
Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer, and H. Pottmann. Reassembling fractured objects by geometric matching. Industrial Geometry report 14, January 2006.
Y. Liu, H. Pottmann, J. Wallner, W. Wang, and Y. Yang. Geometric modeling with conical meshes and developable surfaces. Industrial Geometry report 13, January 2006.
O. Aichholzer, F. Aurenhammer, C. Huemer, and H. Krasser. Transforming spanning trees and pseudo-triangulations. Industrial Geometry report 10, January 2006.
F. Aurenhammer and H. Krasser. Pseudo-simplicial complexes from maximal locally convex functions. Industrial Geometry report 9, February 2006.
O. Aichholzer, T. Hackl, C. Huemer, F. Hurtado, H. Krasser, and B. Vogtenhuber. On the number of plane graphs. Industrial Geometry report 8, January 2006.
O. Aichholzer, F. Aurenhammer, C. Huemer, and B. Vogtenhuber. Gray code enumeration of plane straight-line graphs. Industrial Geometry report 7, March 2006.
O. Aichholzer, F. Aurenhammer, and T. Hackl. Pre-triangulations and liftable complexes. Industrial Geometry report 6, April 2006.
S. Chau, M. Oberneder, A. Galligo, and B. Jüttler. Intersecting biquadratic Bézier surface patches. Industrial Geometry report 5, March 2006.

2005
F. Frühauf, H. Grossauer, and O. Scherzer. Solving constrained ill-posed problems using Ginzburg-Landau regularization functionals. Industrial Geometry report 16, January 2005.
M. Hofer, B. Odehnal, H. Pottmann, T. Steiner, and J. Wallner. 3d shape recognition and reconstruction based on line element geometry. Industrial Geometry report 15, March 2005.
B. Odehnal, H. Pottmann, and J. Wallner. Equiform kinematics and the geometry of line elements. Industrial Geometry report 12, January 2005.
M. Peternell, H. Pottmann, and T. Steiner. Minkowski sum boundary surfaces of 3d objects. Industrial Geometry report 11, August 2005.
O. Aichholzer, F. Aurenhammer, P. Gonzalez-Nava, T. Hackl, C. Huemer, F. Hurtado, H. Krasser, S. Ray, and B. Vogtenhuber. Matching edges and faces in polygonal partitions. Industrial Geometry report 4, December 2005.
O. Aichholzer, C. Huemer, S. Renkl, B. Speckmann, and C. D. Tóth. On pseudo-convex decompositions, partitions, and coverings. Industrial Geometry report 3, December 2005.
M. Aigner and B. Jüttler. Hybrid curve fitting. Industrial Geometry report 2, December 2005.
H. Yang, M. Fuchs, B. Jüttler, and O. Scherzer. Evolution of T-spline level sets with distance field constraints for geometry reconstruction and image segmentation. Industrial Geometry report 1, December 2005.