1 / 10

Research Report FWF S9206 Helmut Pottmann Geometric Modeling & Industrial Geometry

Research Report FWF S9206 Helmut Pottmann Geometric Modeling & Industrial Geometry. Map labeling algorithm. Collision free initial position using digitized images Iterative improvement using force directed optimization. Surface fitting in feature sensitive metric. Integral invariants.

kareem
Télécharger la présentation

Research Report FWF S9206 Helmut Pottmann Geometric Modeling & Industrial Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Research Report FWF S9206 Helmut Pottmann Geometric Modeling & Industrial Geometry

  2. Map labeling algorithm • Collision free initial position using digitized images • Iterative improvement using force directed optimization

  3. Surface fittingin feature sensitive metric

  4. Integral invariants • Integration over local neighborhoods • „Curvature“ on various scales

  5. Minkowski sum boundary surfaces of 3D objects • Minkowski sum A+B of objects A and B is the outer envelope of B with respect to all translations determined by points aA.

  6. Parametrization of rational and convolution surfaces • The convolution surface A*B is the generalized offset of A w.r.t. B. • Thm.: The convolution of any rational surface and a polynomial surface with a linear normal vector field is always rational.

  7. Line element geometry • Line element = line + point on it • Surface recognition, reconstruction; segmentation

  8. Geometric automatic extraction of sulcal fundi • Fundi = deepest regions of cortex; use a geodesic depth measure w.r.t. to hull surface computed with level set method

  9. 3D shape morphing based on geodesics in shape spaces

  10. Scientific talks • H. Pottmann: Univ. Innsbruck, Tsinghua Univ., Seoul Nat. Univ.: Integral invariants • M. Peternell, SIAM’05: Envelopes of moving solids • M. Peternell, SIAM’05: Constrained Surface Approximation from a Geometric Optimization Perspective • M. Hofer, SIAM’05: 3D Shape Recognition and Reconstruction Based on Line Element Geometry

More Related